Details

Time bar (total: 20.7s)

analyze36.0ms (0.2%)

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

Compiled 22 to 16 computations (27.3% saved)

sample1.6s (8%)

Results
1.0s6459×body256valid
325.0ms1078×body1024valid
211.0ms605×body512valid
58.0ms114×body2048valid
Bogosity

preprocess72.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 17 to 13 computations (23.5% saved)

simplify68.0ms (0.3%)

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

Useful iterations: 5 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 65 to 39 computations (40% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New415
Fresh101
Picked000
Done000
Total516
Error
18.2b
Counts
6 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
18.2b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
2.1b
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
Compiler

Compiled 50 to 23 computations (54% saved)

series7.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite96.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01156
125956
2384456
Stop Event
node limit
Counts
2 → 134
Calls
Call 1
Inputs
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))) (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 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simplify116.0ms (0.6%)

Algorithm
egg-herbie
Rules
926×distribute-lft-in
806×distribute-rgt-in
736×*-commutative
726×+-commutative
570×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060812724
1215812284
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 1 (/.f64 beta (+.f64 beta 2)))
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
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1
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
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1
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 1) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
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(/.f64 beta (+.f64 beta 2))
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-1
(-.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
(-.f64 (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
(-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
-1
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))) 1)
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(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 0)
(-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) 1)
(-.f64 (+.f64 1 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))) (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1)))
(-.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 1)
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(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))
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(/.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (-.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3) 1)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) 3) 1) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)) (+.f64 1 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) 1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1)) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))))
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 1)
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)))
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) 1)
(fma.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 1)
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 0)
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1))
(+.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (neg.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))))
(+.f64 (neg.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) (/.f64 beta (+.f64 (+.f64 beta alpha) 2)))
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 1)
(-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)))
(-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (+.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) 1))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) 2)
(-.f64 (+.f64 1 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))) (+.f64 1 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1)) (+.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1)) 1))
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 (+.f64 beta alpha) 2)))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 (+.f64 beta alpha) 2)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 (+.f64 beta alpha) 2))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 1))
(*.f64 (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) (-.f64 beta alpha))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 1 (-.f64 -2 (+.f64 beta alpha))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 beta alpha) 2))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2)) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (+.f64 beta 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 (+.f64 beta alpha) 2)) (sqrt.f64 (-.f64 beta alpha)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2)) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 (+.f64 beta alpha) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 (+.f64 beta alpha) 2))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2)) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (+.f64 (+.f64 beta 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 (+.f64 beta 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 (+.f64 beta alpha) 2))) 1) (/.f64 1 (+.f64 beta alpha)))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 (+.f64 beta 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 (+.f64 beta 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 (+.f64 beta 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 (+.f64 beta 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 (+.f64 beta 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 (+.f64 beta 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 (+.f64 beta 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 (+.f64 beta 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 (+.f64 beta 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 (+.f64 beta 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 (+.f64 beta 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 (+.f64 beta 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 (+.f64 beta 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 beta 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 (+.f64 beta alpha) 2)) (*.f64 (+.f64 (+.f64 beta 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 beta alpha) 2)) (*.f64 (+.f64 (+.f64 beta 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 beta alpha) 2)) (*.f64 (+.f64 (+.f64 beta alpha) 2) alpha)) (*.f64 (+.f64 (+.f64 beta alpha) 2) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 beta (-.f64 alpha 2)))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 beta alpha) 2)) (*.f64 (+.f64 (+.f64 beta alpha) 2) alpha)) (*.f64 (+.f64 (+.f64 beta 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 (+.f64 beta alpha) 2)) (*.f64 (+.f64 (+.f64 beta alpha) 2) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 (+.f64 beta alpha) 2))) (+.f64 beta (-.f64 alpha 2)))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 beta alpha) 2)) (*.f64 (+.f64 (+.f64 beta alpha) 2) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.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 beta alpha) 2)) (*.f64 (+.f64 (+.f64 beta 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 beta alpha) 2)) (*.f64 (+.f64 (+.f64 beta 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 (+.f64 beta alpha) 2)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 3)
(pow.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) (-.f64 beta alpha)) -1)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 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 (+.f64 beta alpha) 2)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta 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)))
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2
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2
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
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1
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(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 (*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (neg.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))
(/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (/.f64 (*.f64 (+.f64 alpha beta) (neg.f64 (-.f64 beta alpha))) (neg.f64 (-.f64 beta alpha))))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 (+.f64 beta alpha) 2))) (-.f64 (*.f64 alpha alpha) (*.f64 beta beta))) (-.f64 alpha beta))
(*.f64 (-.f64 alpha beta) (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (/.f64 1 (+.f64 2 (+.f64 alpha beta))))))
(/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 beta beta)) (-.f64 alpha beta)))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 1 (+.f64 (+.f64 beta 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 1 (+.f64 2 (+.f64 alpha beta))) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (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 alpha beta) (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (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 (+.f64 beta 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 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 (-.f64 (*.f64 beta (pow.f64 beta 3)) (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha beta) 2))) (/.f64 1 (+.f64 2 (+.f64 alpha beta))))) (-.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 (*.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 1 (+.f64 (+.f64 beta 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 2 (+.f64 alpha 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 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 alpha (+.f64 2 beta))) (+.f64 (pow.f64 beta 4) (*.f64 (*.f64 alpha (+.f64 alpha beta)) (-.f64 (*.f64 alpha (+.f64 alpha beta)) (*.f64 beta beta))))) (+.f64 (pow.f64 beta 6) (pow.f64 (*.f64 alpha (+.f64 alpha beta)) 3)))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (+.f64 beta 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 2 (+.f64 alpha 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 4 (+.f64 (*.f64 (+.f64 alpha beta) -2) (pow.f64 (+.f64 alpha beta) 2)))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (+.f64 beta 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) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (sqrt.f64 (-.f64 (+.f64 alpha beta) 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 (+.f64 beta 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 2 (+.f64 alpha beta))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))))) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (cbrt.f64 (+.f64 4 (+.f64 (*.f64 (+.f64 alpha beta) -2) (pow.f64 (+.f64 alpha beta) 2)))))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 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 alpha) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (cbrt.f64 (-.f64 (+.f64 alpha beta) 2)))
(*.f64 (/.f64 (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (cbrt.f64 (-.f64 alpha (-.f64 2 beta))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 beta alpha) 2)) (*.f64 (+.f64 (+.f64 beta 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 2 (+.f64 alpha beta))) (*.f64 alpha (+.f64 2 (+.f64 alpha 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 (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (*.f64 (+.f64 4 (+.f64 (*.f64 (+.f64 alpha beta) -2) (pow.f64 (+.f64 alpha beta) 2))) (+.f64 4 (+.f64 (*.f64 (+.f64 alpha beta) -2) (pow.f64 (+.f64 alpha beta) 2)))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 beta alpha) 2)) (*.f64 (+.f64 (+.f64 beta 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 2 (+.f64 alpha beta))) (*.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (*.f64 (-.f64 (+.f64 alpha beta) 2) (-.f64 (+.f64 alpha beta) 2)))
(*.f64 (-.f64 alpha (-.f64 2 beta)) (/.f64 (*.f64 (-.f64 alpha (-.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 beta alpha) 2)) (*.f64 (+.f64 (+.f64 beta alpha) 2) alpha)) (*.f64 (+.f64 (+.f64 beta alpha) 2) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 beta (-.f64 alpha 2)))
(*.f64 (-.f64 (+.f64 alpha beta) 2) (/.f64 (-.f64 (*.f64 beta (+.f64 2 (+.f64 alpha beta))) (*.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (*.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))))
(/.f64 (*.f64 (-.f64 alpha (-.f64 2 beta)) (*.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 (+.f64 beta alpha) 2)) (*.f64 (+.f64 (+.f64 beta alpha) 2) alpha)) (*.f64 (+.f64 (+.f64 beta 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 2 (+.f64 alpha beta))) (*.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (*.f64 (+.f64 2 (+.f64 alpha 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 4 (+.f64 (*.f64 (+.f64 alpha beta) -2) (pow.f64 (+.f64 alpha beta) 2)))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 beta alpha) 2)) (*.f64 (+.f64 (+.f64 beta alpha) 2) alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 (+.f64 beta alpha) 2))) (+.f64 beta (-.f64 alpha 2)))
(*.f64 (-.f64 (+.f64 alpha beta) 2) (/.f64 (-.f64 (*.f64 beta (+.f64 2 (+.f64 alpha beta))) (*.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (*.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))))
(/.f64 (*.f64 (-.f64 alpha (-.f64 2 beta)) (*.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 (+.f64 beta alpha) 2)) (*.f64 (+.f64 (+.f64 beta alpha) 2) alpha)) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 (+.f64 beta 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 2 (+.f64 alpha beta))) (*.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (*.f64 (+.f64 2 (+.f64 alpha 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 4 (+.f64 (*.f64 (+.f64 alpha beta) -2) (pow.f64 (+.f64 alpha beta) 2)))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 beta alpha) 2)) (*.f64 (+.f64 (+.f64 beta 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 2 (+.f64 alpha beta))) (*.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (*.f64 (-.f64 (+.f64 alpha beta) 2) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta))))))
(*.f64 (-.f64 alpha (-.f64 2 beta)) (*.f64 (+.f64 4 (+.f64 (*.f64 (+.f64 alpha beta) -2) (pow.f64 (+.f64 alpha beta) 2))) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))))
(*.f64 (/.f64 (-.f64 (*.f64 beta (+.f64 (+.f64 beta alpha) 2)) (*.f64 (+.f64 (+.f64 beta 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 2 (+.f64 alpha beta))) (*.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (*.f64 (-.f64 (+.f64 alpha beta) 2) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta))))))
(*.f64 (-.f64 alpha (-.f64 2 beta)) (*.f64 (+.f64 4 (+.f64 (*.f64 (+.f64 alpha beta) -2) (pow.f64 (+.f64 alpha beta) 2))) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 2)
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 3)
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) (-.f64 beta alpha)) -1)
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3) 1/3)
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha 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 -2 (+.f64 alpha beta)))
(/.f64 (neg.f64 (-.f64 beta alpha)) (-.f64 (-.f64 -2 beta) alpha))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha 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 (+.f64 beta alpha) 2))))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 1))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))
(/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))

eval184.0ms (0.9%)

Compiler

Compiled 12227 to 7570 computations (38.1% saved)

prune174.0ms (0.8%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New33816354
Fresh000
Picked011
Done000
Total33817355
Error
0.1b
Counts
355 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
18.4b
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) 1) 2)
18.2b
(/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 1/3) 2)
34.6b
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 6) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3) -1)) 2)
34.6b
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)) 1) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)))) 2)
34.6b
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) 2)
43.2b
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
18.2b
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) 2)
17.7b
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)) 2)
34.1b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
45.7b
(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) 2)
45.3b
(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) 2)
18.2b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
19.5b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
61.6b
(/.f64 (+.f64 -1 1) 2)
18.2b
(/.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3)) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))) (+.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) 1) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) 2)
44.7b
(/.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)
41.0b
(/.f64 2 2)
Compiler

Compiled 1039 to 711 computations (31.6% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 beta (+.f64 (+.f64 beta alpha) 2))
0.0b
(/.f64 alpha (+.f64 (+.f64 beta alpha) 2))
0.0b
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)) 2)
2.1b
(-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)
Compiler

Compiled 73 to 38 computations (47.9% saved)

series7.0ms (0%)

Counts
4 → 96
Calls

24 calls:

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

rewrite167.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1486×associate-/r/
908×associate-/l/
400×+-commutative
366×associate-+l+
342×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
013118
1321100
25001100
Stop Event
node limit
Counts
4 → 227
Calls
Call 1
Inputs
(-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)) 2)
(/.f64 alpha (+.f64 (+.f64 beta alpha) 2))
(/.f64 beta (+.f64 (+.f64 beta alpha) 2))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (*.f64 2 (+.f64 (+.f64 beta alpha) 2))) (neg.f64 (-.f64 (/.f64 alpha (*.f64 2 (+.f64 (+.f64 beta alpha) 2))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (-.f64 (/.f64 alpha (*.f64 2 (+.f64 (+.f64 beta alpha) 2))) 1/2)) (/.f64 beta (*.f64 2 (+.f64 (+.f64 beta alpha) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 beta (*.f64 2 (+.f64 (+.f64 beta alpha) 2))) (/.f64 alpha (*.f64 2 (+.f64 (+.f64 beta alpha) 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (*.f64 2 (+.f64 (+.f64 beta alpha) 2))) (-.f64 (/.f64 alpha (*.f64 2 (+.f64 (+.f64 beta alpha) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (-.f64 (/.f64 alpha 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simplify174.0ms (0.8%)

Algorithm
egg-herbie
Rules
1192×associate-*r*
1114×distribute-lft-in
1062×*-commutative
1032×associate-*l*
838×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
083019319
1273619169
Stop Event
node limit
Counts
323 → 574
Calls
Call 1
Inputs
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
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1
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1
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(/.f64 alpha (+.f64 2 alpha))
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(/.f64 alpha beta)
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(/.f64 alpha beta)
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(/.f64 beta (+.f64 2 alpha))
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1
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1
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(/.f64 beta (+.f64 beta 2))
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(/.f64 beta alpha)
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(/.f64 beta alpha)
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(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) (*.f64 (sqrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) 1))
(*.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 1 (+.f64 (+.f64 beta alpha) 2))))
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) 2) (*.f64 (cbrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) 1))
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 1 (+.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) alpha)
(*.f64 (neg.f64 alpha) (/.f64 1 (-.f64 -2 (+.f64 beta alpha))))
(*.f64 (/.f64 alpha 1) (/.f64 (+.f64 alpha (-.f64 beta 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))
(*.f64 (/.f64 alpha 1) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 beta alpha) 2))) (/.f64 alpha (sqrt.f64 (+.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (-.f64 beta 2)))
(*.f64 (/.f64 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 alpha (+.f64 alpha (-.f64 beta 2))))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (*.f64 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 alpha))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 (+.f64 beta alpha) 2)))
(*.f64 (/.f64 (sqrt.f64 alpha) (+.f64 (+.f64 beta alpha) 2)) (sqrt.f64 alpha))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2)) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 (+.f64 beta alpha) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 (+.f64 beta alpha) 2))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2)) 2)) (cbrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 alpha (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (neg.f64 (+.f64 alpha (-.f64 beta 2))))
(*.f64 (/.f64 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 alpha (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 alpha (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (-.f64 (-.f64 2 alpha) beta))
(*.f64 (/.f64 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 (+.f64 beta alpha) 2) (sqrt.f64 alpha))) (sqrt.f64 alpha))
(*.f64 (/.f64 1 (/.f64 (+.f64 (+.f64 beta alpha) 2) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 (+.f64 beta alpha) 2)) (cbrt.f64 alpha))
(*.f64 (/.f64 (neg.f64 alpha) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 alpha (-.f64 beta 2)))
(*.f64 (/.f64 (neg.f64 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 alpha) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 alpha (-.f64 beta 2)))
(*.f64 (/.f64 (*.f64 (neg.f64 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 alpha 1) 1) (/.f64 (+.f64 alpha (-.f64 beta 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))
(*.f64 (/.f64 (/.f64 alpha 1) 1) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))))
(*.f64 (/.f64 (/.f64 alpha 1) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (-.f64 beta 2)))
(*.f64 (/.f64 (/.f64 alpha 1) (+.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 alpha 1) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (neg.f64 (+.f64 alpha (-.f64 beta 2))))
(*.f64 (/.f64 (/.f64 alpha 1) (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 alpha 1) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (/.f64 alpha 1) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (-.f64 (-.f64 2 alpha) beta))
(*.f64 (/.f64 (/.f64 alpha 1) (+.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 (/.f64 alpha (sqrt.f64 (+.f64 (+.f64 beta 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 alpha (sqrt.f64 (+.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (sqrt.f64 (+.f64 alpha (-.f64 beta 2))))
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 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 alpha (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2)) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (cbrt.f64 (+.f64 alpha (-.f64 beta 2))))
(pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) 3)
(pow.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha) -1)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 3) 1/3)
(neg.f64 (/.f64 alpha (-.f64 -2 (+.f64 beta alpha))))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)))) 1)
(*.f64 beta (/.f64 1 (+.f64 (+.f64 beta alpha) 2)))
(*.f64 1 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)))
(*.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 1)
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))))
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 (+.f64 beta alpha) 2))))
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))))
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) beta)
(*.f64 (neg.f64 beta) (/.f64 1 (-.f64 -2 (+.f64 beta alpha))))
(*.f64 (/.f64 beta 1) (/.f64 (+.f64 alpha (-.f64 beta 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))
(*.f64 (/.f64 beta 1) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 beta alpha) 2))) (/.f64 beta (sqrt.f64 (+.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (-.f64 beta 2)))
(*.f64 (/.f64 beta (+.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 beta (+.f64 alpha (-.f64 beta 2))))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (*.f64 beta (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2)))))
(*.f64 (/.f64 1 (-.f64 -2 (+.f64 beta alpha))) (neg.f64 beta))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 (+.f64 beta alpha) 2)))
(*.f64 (/.f64 (sqrt.f64 beta) (+.f64 (+.f64 beta alpha) 2)) (sqrt.f64 beta))
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 (+.f64 beta alpha) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 (+.f64 beta alpha) 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 beta (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (neg.f64 (+.f64 alpha (-.f64 beta 2))))
(*.f64 (/.f64 beta (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 beta (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 beta (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (-.f64 (-.f64 2 alpha) beta))
(*.f64 (/.f64 beta (+.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 (+.f64 beta alpha) 2) (sqrt.f64 beta))) (sqrt.f64 beta))
(*.f64 (/.f64 1 (/.f64 (+.f64 (+.f64 beta alpha) 2) (pow.f64 (cbrt.f64 beta) 2))) (cbrt.f64 beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (+.f64 (+.f64 beta alpha) 2)) (cbrt.f64 beta))
(*.f64 (/.f64 (neg.f64 beta) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 alpha (-.f64 beta 2)))
(*.f64 (/.f64 (neg.f64 beta) (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 beta 1) 1) (/.f64 (+.f64 alpha (-.f64 beta 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))
(*.f64 (/.f64 (/.f64 beta 1) 1) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 4 (*.f64 (+.f64 beta alpha) 2))) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))))
(*.f64 (/.f64 (/.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (-.f64 beta 2)))
(*.f64 (/.f64 (/.f64 beta 1) (+.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 beta 1) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (neg.f64 (+.f64 alpha (-.f64 beta 2))))
(*.f64 (/.f64 (/.f64 beta 1) (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 1) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (/.f64 beta 1) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (-.f64 (-.f64 2 alpha) beta))
(*.f64 (/.f64 (/.f64 beta 1) (+.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 (/.f64 beta (sqrt.f64 (+.f64 (+.f64 beta 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 (sqrt.f64 (+.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (sqrt.f64 (+.f64 alpha (-.f64 beta 2))))
(*.f64 (/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 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 beta (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2)) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (cbrt.f64 (+.f64 alpha (-.f64 beta 2))))
(pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 1)
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))) 3)
(pow.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) beta) -1)
(pow.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 3) 1/3)
(neg.f64 (/.f64 beta (-.f64 -2 (+.f64 beta alpha))))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 2))
(log.f64 (exp.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)))))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))))
(exp.f64 (log.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))))
Outputs
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(+.f64 (/.f64 alpha (+.f64 beta 2)) -1)
(+.f64 -1 (/.f64 alpha (+.f64 beta 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) -1)
(+.f64 -1 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) -1)
(+.f64 -1 (+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(neg.f64 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(neg.f64 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
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1
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1
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1
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1
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1
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(*.f64 (-.f64 4 (-.f64 (*.f64 2 (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) 2))) (/.f64 (neg.f64 beta) (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))))
(*.f64 (/.f64 (/.f64 beta 1) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha 2)))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (-.f64 beta (+.f64 alpha 2)) (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(*.f64 (-.f64 (-.f64 beta alpha) 2) (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(*.f64 (/.f64 (/.f64 beta 1) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (-.f64 (-.f64 2 alpha) beta))
(*.f64 (-.f64 2 (+.f64 alpha beta)) (/.f64 beta (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))))
(/.f64 (*.f64 beta (-.f64 (-.f64 2 alpha) beta)) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)))
(*.f64 (/.f64 (/.f64 beta 1) (+.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 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))) (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
(*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (/.f64 beta (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
(*.f64 (/.f64 (/.f64 beta (sqrt.f64 (+.f64 (+.f64 beta 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 (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta))))) (/.f64 beta (*.f64 (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (sqrt.f64 (-.f64 4 (-.f64 (*.f64 2 (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) 2)))) (/.f64 beta (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))))
(*.f64 (/.f64 (/.f64 beta (sqrt.f64 (+.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (sqrt.f64 (+.f64 alpha (-.f64 beta 2))))
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta -2))) (/.f64 beta (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (sqrt.f64 (-.f64 beta (-.f64 2 alpha))) (/.f64 (/.f64 beta (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 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 (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 2 (+.f64 alpha beta))))) (/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))))
(/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (cbrt.f64 (-.f64 4 (-.f64 (*.f64 2 (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) 2))))))
(*.f64 (/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2)) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (cbrt.f64 (+.f64 alpha (-.f64 beta 2))))
(/.f64 (*.f64 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 alpha (+.f64 beta -2)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))
(*.f64 (cbrt.f64 (-.f64 beta (-.f64 2 alpha))) (/.f64 (/.f64 beta (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)))
(pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 1)
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))) 2)
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))) 3)
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) beta) -1)
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 3) 1/3)
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(neg.f64 (/.f64 beta (-.f64 -2 (+.f64 beta alpha))))
(*.f64 (neg.f64 beta) (/.f64 1 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (neg.f64 beta) (-.f64 -2 (+.f64 alpha beta)))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 2))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))))
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)))))
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 3))
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))))
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(exp.f64 (log.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))))
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))) 1))
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))))
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))

localize3.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize13.0ms (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)

series2.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite61.0ms (0.3%)

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

simplify55.0ms (0.3%)

Algorithm
egg-herbie
Rules
1830×associate-+r+
1094×associate-+l+
674×associate-*r/
476×associate-*l/
422×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0891024
1223976
2901760
34378760
Stop Event
node limit
Counts
44 → 46
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 (+.f64 2 (*.f64 2 beta)) alpha))) 1)
(*.f64 (+.f64 2 (*.f64 2 beta)) (/.f64 1 alpha))
(*.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 1)
(*.f64 1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 (sqrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (sqrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(*.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (*.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (/.f64 1 alpha)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2) (*.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (/.f64 1 alpha)))
(*.f64 (/.f64 1 alpha) (+.f64 2 (*.f64 2 beta)))
(*.f64 (neg.f64 (+.f64 2 (*.f64 2 beta))) (/.f64 1 (neg.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (*.f64 2 beta)) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 2 (*.f64 2 beta)) (cbrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) 1) (/.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (cbrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(pow.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 3) 1/3)
(pow.f64 (/.f64 alpha (+.f64 2 (*.f64 2 beta))) -1)
(neg.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) (neg.f64 alpha)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) 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 beta (/.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 beta (/.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 (exp.f64 (log1p.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))) 1)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (+.f64 2 (*.f64 2 beta)) (/.f64 1 alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 1)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (sqrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (sqrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (*.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) 2))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2) (*.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 1 alpha) (+.f64 2 (*.f64 2 beta)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (neg.f64 (+.f64 2 (*.f64 2 beta))) (/.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 (+.f64 2 (*.f64 2 beta)) (sqrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(/.f64 (fma.f64 2 beta 2) (*.f64 (sqrt.f64 alpha) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 2 (*.f64 2 beta)) (cbrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(/.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 (+.f64 2 (*.f64 2 beta))) 1) (/.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 2 (*.f64 2 beta)) (cbrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(/.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 (+.f64 2 (*.f64 2 beta))) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (*.f64 2 beta)) (sqrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(/.f64 (fma.f64 2 beta 2) (*.f64 (sqrt.f64 alpha) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) 2) (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 (+.f64 2 (*.f64 2 beta)) alpha) 1)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) 2)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) 3)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (pow.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 3) 1/3)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (/.f64 alpha (+.f64 2 (*.f64 2 beta))) -1)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(neg.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) (neg.f64 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(log.f64 (exp.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 3))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(exp.f64 (log.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) 1))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
0.1b
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3)
0.2b
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 1/3)
2.1b
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
Compiler

Compiled 84 to 45 computations (46.4% saved)

series36.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
8.0ms
beta
@0
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 1/3)
7.0ms
alpha
@inf
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 1/3)
6.0ms
alpha
@0
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 1/3)
4.0ms
alpha
@-inf
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 1/3)
2.0ms
beta
@inf
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 1/3)

rewrite213.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1654×associate-/l*
1456×associate-/r/
336×add-sqr-sqrt
318×add-cbrt-cube
318×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01568
135868
2459968
Stop Event
node limit
Counts
2 → 102
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 1/3)
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (+.f64 (neg.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))) (neg.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))) (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 1/3)) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 1/3)) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 1/3) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 1/3)) 2) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 1/3) 2) 1/3) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 1/3) 3/2) 1/3) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 1/3) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1)) (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3) 1)) (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) 3) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)) (-.f64 (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2))) (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))) (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 1/3) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 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expm1.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3)))))))

simplify267.0ms (1.3%)

Algorithm
egg-herbie
Rules
1424×associate-*r*
1156×associate-*l*
1140×+-commutative
1026×associate-+r+
716×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
083932770
1301032656
Stop Event
node limit
Counts
150 → 304
Calls
Call 1
Inputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (*.f64 1/3 (*.f64 (*.f64 beta (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)) 1/3)))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/3 (*.f64 (*.f64 beta (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)) 1/3))) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 1/3) (pow.f64 (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))) 2))))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.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 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))))) (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (-.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 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (*.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 1/27 (/.f64 (pow.f64 (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))) 3) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 5)) 1/3) (*.f64 (-.f64 (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 1/3) (pow.f64 (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))) 2)))) (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))))))))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))) (+.f64 1 (+.f64 (*.f64 1/3 (*.f64 (*.f64 beta (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)) 1/3))) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 1/3) (pow.f64 (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))) 2))))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 2 (*.f64 1/3 (/.f64 (+.f64 (*.f64 -4 (+.f64 2 (*.f64 2 alpha))) (*.f64 -8 (+.f64 2 (*.f64 2 alpha)))) (*.f64 beta (cbrt.f64 4)))))
(+.f64 2 (+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 -4 (+.f64 2 (*.f64 2 alpha))) (*.f64 -8 (+.f64 2 (*.f64 2 alpha)))) (*.f64 beta (cbrt.f64 4)))) (*.f64 1/12 (/.f64 (-.f64 (+.f64 (*.f64 4 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (+.f64 (*.f64 2 (+.f64 (*.f64 4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2))) (*.f64 4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 2/3 (/.f64 (pow.f64 (+.f64 (*.f64 -4 (+.f64 2 (*.f64 2 alpha))) (*.f64 -8 (+.f64 2 (*.f64 2 alpha)))) 2) (pow.f64 (cbrt.f64 4) 2)))) (pow.f64 beta 2)))))
(+.f64 2 (+.f64 (*.f64 1/12 (/.f64 (-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (+.f64 2 (*.f64 2 alpha)))) (+.f64 (*.f64 4 (-.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 -4 (*.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 (*.f64 2 alpha)))) (*.f64 2 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 (*.f64 2 alpha)))) (*.f64 4 (-.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (pow.f64 (+.f64 2 alpha) 3)))))))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (+.f64 (*.f64 -4 (+.f64 2 (*.f64 2 alpha))) (*.f64 -8 (+.f64 2 (*.f64 2 alpha)))) (-.f64 (+.f64 (*.f64 4 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (+.f64 (*.f64 2 (+.f64 (*.f64 4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2))) (*.f64 4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 2/3 (/.f64 (pow.f64 (+.f64 (*.f64 -4 (+.f64 2 (*.f64 2 alpha))) (*.f64 -8 (+.f64 2 (*.f64 2 alpha)))) 2) (pow.f64 (cbrt.f64 4) 2))))) (cbrt.f64 4))) (*.f64 1/108 (pow.f64 (+.f64 (*.f64 -4 (+.f64 2 (*.f64 2 alpha))) (*.f64 -8 (+.f64 2 (*.f64 2 alpha)))) 3)))) (pow.f64 beta 3))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 -4 (+.f64 2 (*.f64 2 alpha))) (*.f64 -8 (+.f64 2 (*.f64 2 alpha)))) (*.f64 beta (cbrt.f64 4)))) (*.f64 1/12 (/.f64 (-.f64 (+.f64 (*.f64 4 (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2)) (+.f64 (*.f64 2 (+.f64 (*.f64 4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 2 (*.f64 2 alpha)) 2))) (*.f64 4 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 2/3 (/.f64 (pow.f64 (+.f64 (*.f64 -4 (+.f64 2 (*.f64 2 alpha))) (*.f64 -8 (+.f64 2 (*.f64 2 alpha)))) 2) (pow.f64 (cbrt.f64 4) 2)))) (pow.f64 beta 2))))))
2
(+.f64 2 (*.f64 -1/3 (/.f64 (+.f64 (*.f64 -8 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -4 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 beta (cbrt.f64 4)))))
(+.f64 2 (+.f64 (*.f64 -1/3 (/.f64 (+.f64 (*.f64 -8 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -4 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) (*.f64 beta (cbrt.f64 4)))) (*.f64 1/12 (/.f64 (-.f64 (+.f64 (*.f64 4 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (+.f64 (*.f64 2 (+.f64 (*.f64 -4 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 -4 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))))) (*.f64 2/3 (/.f64 (pow.f64 (+.f64 (*.f64 -8 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -4 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) 2) (pow.f64 (cbrt.f64 4) 2)))) (pow.f64 beta 2)))))
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
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8
(+.f64 8 (+.f64 (*.f64 -4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (*.f64 -8 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))))
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8
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -8 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -4 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta)) 8)
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(pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3)
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(/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 3) (pow.f64 alpha 3))
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(+.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))
(+.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)))
(+.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1))
(+.f64 (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3))) 1)
(*.f64 1 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3))
(*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 1)
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) (*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)))
(*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3/2) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)))
(*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1))
(*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) 1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1))
(*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))
(*.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)) 2)) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)))
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) 3) (pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)) 2) 3) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1))
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1))
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1)) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3) 1)) (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2))))
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))) (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))) (+.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) 3) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)) (-.f64 (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3) 1)) (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2))))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)) (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)) (+.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) 3) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)) (-.f64 (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))))
(/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)))
(/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1))
(/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))
(/.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1) 3) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) 3))
(/.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) 3) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) 3))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 6))
(log.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3)))
(exp.f64 (*.f64 3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3)))
Outputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 1 (*.f64 1/3 (*.f64 (*.f64 beta (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)) 1/3)))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (*.f64 1/3 (*.f64 beta (*.f64 (*.f64 3 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))))) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))))))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (*.f64 (*.f64 1/3 (*.f64 beta (*.f64 3 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))))))) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/3 (*.f64 (*.f64 beta (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2)) 1/3))) (*.f64 1/3 (/.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))) 2))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) 1/3) (pow.f64 (+.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (*.f64 2 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))))) 2))))) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 2))))) (/.f64 alpha (+.f64 2 alpha)))
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(+.f64 (*.f64 1/3 (+.f64 (*.f64 (*.f64 3 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))))) (*.f64 beta (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2))))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (+.f64 (fma.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (+.f64 (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (*.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) 2))) (*.f64 2 (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) (pow.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 2))))) (*.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 1 (-.f64 1 (/.f64 alpha (+.f64 alpha 2)))))) (pow.f64 (*.f64 3 (*.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))))) 2))))))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
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2
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2 beta))) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) 2))) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 5))))) (*.f64 1/27 (/.f64 (pow.f64 (fma.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (fma.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (neg.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (neg.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) 3) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2))))) (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (pow.f64 alpha 3))) (fma.f64 1/3 (/.f64 (-.f64 (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (fma.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta 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2)))))) (neg.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) 2))) (/.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (*.f64 alpha alpha))) (+.f64 (/.f64 beta (+.f64 2 beta)) (*.f64 1/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2))) (fma.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (fma.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (neg.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (neg.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) alpha))))))
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
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(fma.f64 1/3 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2))) (*.f64 3 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (*.f64 beta (+.f64 2 beta)))))) (*.f64 alpha alpha)) (fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha)))
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(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))) 3)
(pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3)
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8
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8
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(+.f64 (fma.f64 -1 (/.f64 (*.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) -12) beta) 8) (fma.f64 4 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 beta beta)) (fma.f64 2 (/.f64 (fma.f64 -4 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (*.f64 beta beta)) (fma.f64 -1 (/.f64 (fma.f64 4 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (fma.f64 2 (fma.f64 2 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 -4 (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (fma.f64 -1 (*.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (fma.f64 -4 (*.f64 (+.f64 alpha 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2))) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 -4 (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))))) (pow.f64 beta 3)) (/.f64 (*.f64 -4 (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (/.f64 (*.f64 beta beta) (+.f64 alpha 2)))))))
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3)
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3)
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) alpha) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3))
(fma.f64 (fma.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (fma.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (neg.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (neg.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3))
(fma.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (neg.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (neg.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3))
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) alpha) (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) (pow.f64 alpha 2))))
(+.f64 (fma.f64 (fma.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (fma.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (neg.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (neg.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3)) (*.f64 (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (fma.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (neg.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) (fma.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)))))) (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)))))) (*.f64 alpha alpha)))
(+.f64 (fma.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (+.f64 (neg.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (neg.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3)) (*.f64 alpha (*.f64 alpha (+.f64 (*.f64 (*.f64 1 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) 2))) (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)))))))))
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) alpha) (+.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2)))) (pow.f64 alpha 2)) (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (+.f64 1 (/.f64 beta (+.f64 beta 2)))))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (*.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))))) (+.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (*.f64 -2 (*.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 -2 (*.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))))) (pow.f64 alpha 3)))))
(+.f64 (fma.f64 (fma.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (fma.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (neg.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (neg.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3)) (fma.f64 (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (fma.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (neg.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) (fma.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)))))) (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)))))) (*.f64 alpha alpha) (*.f64 (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))))))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (fma.f64 -1 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (neg.f64 (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (fma.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.f64 -2 (+.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3)))) (*.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))))) (neg.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))))))) (pow.f64 alpha 3))))
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(/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 3) (pow.f64 alpha 3))
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(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 3)
(exp.f64 (*.f64 3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))
(pow.f64 (exp.f64 3) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(pow.f64 (exp.f64 3) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) 1))
(pow.f64 (exp.f64 3) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(pow.f64 (exp.f64 3) (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3)))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 3)
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 3)

localize251.0ms (1.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4)
1.5b
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
2.1b
(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3))
3.6b
(-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) 1)
Compiler

Compiled 376 to 187 computations (50.3% saved)

series29.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite144.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1586×associate-/r/
460×+-commutative
436×add-sqr-sqrt
422×*-un-lft-identity
416×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018136
1434136
26123136
Stop Event
node limit
Counts
4 → 140
Calls
Call 1
Inputs
(-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) 1)
(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3))
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4)
Outputs
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simplify251.0ms (1.2%)

Algorithm
egg-herbie
Rules
1748×associate-+r+
1392×associate-+l+
1334×associate-*r*
968×associate-*l*
658×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0105029616
1351929550
Stop Event
node limit
Counts
236 → 464
Calls
Call 1
Inputs
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha)))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha))) (*.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha))))))) 1)
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2
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2
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(/.f64 (-.f64 (+.f64 beta (*.f64 2 (-.f64 beta (*.f64 -1 (+.f64 beta 2))))) (*.f64 -1 (+.f64 beta 2))) alpha)
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(*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 2 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (+.f64 beta 2)) alpha))
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(+.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
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(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))
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(-.f64 1 (/.f64 beta (+.f64 beta 2)))
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2
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2
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(/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 alpha) 4))
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1
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1
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1
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1
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(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4) 1)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 8)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 8)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4)) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2)))
(*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2)))
(*.f64 (pow.f64 (-.f64 beta alpha) 4) (pow.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 4))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 4) (pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 4))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2)) 4) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 4))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 8))
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4)))
(exp.f64 (*.f64 4 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))
(exp.f64 (*.f64 (*.f64 4 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4)))
Outputs
(-.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) 1)
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) -1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha)))) 1)
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (*.f64 -2 (/.f64 beta (/.f64 (+.f64 alpha 2) (*.f64 alpha (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))))))) 1))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha))) (*.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha))))))) 1)
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (fma.f64 -2 (/.f64 beta (/.f64 (+.f64 alpha 2) (*.f64 alpha (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)))))) (*.f64 (*.f64 beta beta) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (*.f64 -2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha)))))) 1))
(+.f64 (fma.f64 -2 (/.f64 beta (/.f64 (+.f64 alpha 2) (*.f64 alpha (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)))))) (*.f64 (*.f64 beta beta) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (*.f64 -2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha)))))) (+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) -1))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) alpha)) (+.f64 2 alpha))) (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) alpha) (+.f64 2 alpha))) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))) (*.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha)))))))) 1)
(+.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (fma.f64 -2 (/.f64 beta (/.f64 (+.f64 alpha 2) (*.f64 alpha (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)))))) (fma.f64 (pow.f64 beta 3) (fma.f64 -2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (+.f64 alpha 2) alpha)) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))))) (*.f64 (*.f64 beta beta) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (*.f64 -2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha)))))))) -1)
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (fma.f64 -2 (/.f64 beta (/.f64 (+.f64 alpha 2) (*.f64 alpha (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)))))) (fma.f64 (pow.f64 beta 3) (fma.f64 -2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (+.f64 alpha 2) alpha)) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))))) (*.f64 (*.f64 beta beta) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (*.f64 -2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha))))))) 1))
(/.f64 (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))) beta)
(/.f64 (-.f64 (*.f64 alpha -2) (+.f64 4 (*.f64 alpha 2))) beta)
(-.f64 (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 4 (/.f64 1 beta))))
(-.f64 (fma.f64 -2 (/.f64 alpha beta) (+.f64 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 beta beta)) (*.f64 -2 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))))) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta)))
(-.f64 (fma.f64 -2 (/.f64 alpha beta) (+.f64 (/.f64 (pow.f64 (-.f64 (-.f64 (neg.f64 alpha) 2) alpha) 2) (*.f64 beta beta)) (*.f64 -2 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (-.f64 (neg.f64 alpha) 2) alpha)))))) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta)))
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))) (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 3))))))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 4 (/.f64 1 beta))))
(-.f64 (fma.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 beta 3)) (fma.f64 -2 (/.f64 alpha beta) (+.f64 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 beta beta)) (*.f64 -2 (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (/.f64 (pow.f64 beta 3) (+.f64 alpha 2)))))))) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta)))
(-.f64 (fma.f64 2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (-.f64 (neg.f64 alpha) 2) alpha))) (fma.f64 -2 (/.f64 alpha beta) (+.f64 (/.f64 (pow.f64 (-.f64 (-.f64 (neg.f64 alpha) 2) alpha) 2) (*.f64 beta beta)) (*.f64 -2 (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (-.f64 (neg.f64 alpha) 2) alpha))) (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 3) (pow.f64 (-.f64 (-.f64 (neg.f64 alpha) 2) alpha) 2)))))))) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 4)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 3))) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 4)))))))))) (+.f64 (*.f64 4 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta))))
(-.f64 (fma.f64 -2 (/.f64 alpha beta) (+.f64 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 beta beta)) (+.f64 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (pow.f64 beta 3)) (fma.f64 2 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 -2 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (*.f64 -2 (+.f64 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (/.f64 (pow.f64 beta 3) (+.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (/.f64 (pow.f64 beta 4) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))))))))) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta)))
(-.f64 (fma.f64 -2 (/.f64 alpha beta) (+.f64 (/.f64 (pow.f64 (-.f64 (-.f64 (neg.f64 alpha) 2) alpha) 2) (*.f64 beta beta)) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 4) (pow.f64 (-.f64 (-.f64 (neg.f64 alpha) 2) alpha) 2))) (fma.f64 2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (-.f64 (neg.f64 alpha) 2) alpha))) (fma.f64 2 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 4) (pow.f64 (-.f64 (-.f64 (neg.f64 alpha) 2) alpha) 2))) (fma.f64 -2 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (-.f64 (neg.f64 alpha) 2) alpha))) (*.f64 -2 (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 3) (pow.f64 (-.f64 (-.f64 (neg.f64 alpha) 2) alpha) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (/.f64 (pow.f64 beta 4) (-.f64 (-.f64 (neg.f64 alpha) 2) alpha))))))))))) (fma.f64 2 (/.f64 alpha beta) (/.f64 4 beta)))
(*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))
(*.f64 2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta))
(*.f64 2 (/.f64 (-.f64 (-.f64 (neg.f64 alpha) 2) alpha) beta))
(+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))))
(+.f64 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 beta beta)) (fma.f64 -2 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (*.f64 2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta))))
(+.f64 (/.f64 (pow.f64 (-.f64 (-.f64 (neg.f64 alpha) 2) alpha) 2) (*.f64 beta beta)) (fma.f64 -2 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (-.f64 (neg.f64 alpha) 2) alpha))) (*.f64 2 (/.f64 (-.f64 (-.f64 (neg.f64 alpha) 2) alpha) beta))))
(+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 2 alpha) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2))) (*.f64 -2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))))) (pow.f64 beta 3))))))
(+.f64 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 beta beta)) (fma.f64 -2 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (fma.f64 2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) (neg.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2)) (*.f64 -2 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (pow.f64 beta 3))))))
(+.f64 (/.f64 (pow.f64 (-.f64 (-.f64 (neg.f64 alpha) 2) alpha) 2) (*.f64 beta beta)) (fma.f64 -2 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (-.f64 (neg.f64 alpha) 2) alpha))) (fma.f64 2 (/.f64 (-.f64 (-.f64 (neg.f64 alpha) 2) alpha) beta) (neg.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 alpha 2) (pow.f64 (-.f64 (-.f64 (neg.f64 alpha) 2) alpha) 2)) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 -2 (-.f64 (-.f64 (neg.f64 alpha) 2) alpha)))) (pow.f64 beta 3))))))
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2
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2
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(+.f64 1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)))
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(/.f64 (-.f64 (+.f64 beta (*.f64 2 (-.f64 beta (*.f64 -1 (+.f64 beta 2))))) (*.f64 -1 (+.f64 beta 2))) alpha)
(/.f64 (+.f64 beta (-.f64 (*.f64 2 (-.f64 beta (+.f64 (neg.f64 beta) -2))) (+.f64 (neg.f64 beta) -2))) alpha)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))))))) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (*.f64 alpha alpha)) (fma.f64 -2 (/.f64 (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2) (*.f64 alpha alpha)) (fma.f64 2 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) (+.f64 (/.f64 beta alpha) (neg.f64 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))))))) (/.f64 (+.f64 (neg.f64 beta) -2) alpha))
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(-.f64 (+.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha) (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))))) (/.f64 beta (+.f64 beta 2)))
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2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
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(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))
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(-.f64 (+.f64 2 (-.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (*.f64 alpha alpha)) (neg.f64 (/.f64 beta (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2)))))) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)))) (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))
2
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 (+.f64 beta 2) (*.f64 -1 beta)) alpha)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 beta (-.f64 2 (neg.f64 beta))) alpha)))
(+.f64 2 (neg.f64 (/.f64 (-.f64 (+.f64 2 beta) (neg.f64 beta)) alpha)))
(+.f64 2 (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 beta 2) (*.f64 -1 beta)) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))
(+.f64 2 (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (fma.f64 -1 (/.f64 (+.f64 beta (-.f64 2 (neg.f64 beta))) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))))
(+.f64 2 (+.f64 (/.f64 (*.f64 beta (+.f64 2 beta)) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (-.f64 (+.f64 2 beta) (neg.f64 beta)) alpha) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)))))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 beta 2) (*.f64 -1 beta)) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))
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(/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 alpha) 4))
(/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 alpha 2) 4))
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(fma.f64 -4 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (pow.f64 alpha 3)))) (fma.f64 (*.f64 beta beta) (fma.f64 4 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha))) (/.f64 (*.f64 (*.f64 2 (*.f64 alpha alpha)) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (*.f64 -2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha))))) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (pow.f64 beta 3) (fma.f64 -4 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 alpha (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (*.f64 -2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha)))))) (+.f64 alpha 2)) (*.f64 2 (/.f64 (fma.f64 -2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (+.f64 alpha 2) alpha)) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha))))) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 alpha 2) 4)))))
1
(-.f64 (+.f64 (*.f64 -4 (/.f64 alpha beta)) 1) (+.f64 (*.f64 8 (/.f64 1 beta)) (*.f64 4 (/.f64 alpha beta))))
(-.f64 (fma.f64 -4 (/.f64 alpha beta) 1) (fma.f64 4 (/.f64 alpha beta) (/.f64 8 beta)))
(-.f64 (+.f64 (*.f64 -4 (/.f64 alpha beta)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))) 2) (pow.f64 beta 2)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (*.f64 2 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2))))))) (+.f64 (*.f64 8 (/.f64 1 beta)) (*.f64 4 (/.f64 alpha beta))))
(-.f64 (+.f64 (fma.f64 -4 (/.f64 alpha beta) 1) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 alpha -2) (+.f64 4 (*.f64 alpha 2))) 2) (*.f64 beta beta)) (fma.f64 -4 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (*.f64 2 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 beta beta)))))) (fma.f64 4 (/.f64 alpha beta) (/.f64 8 beta)))
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(-.f64 (+.f64 (*.f64 -4 (/.f64 alpha beta)) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 1 (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (*.f64 4 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha))) 2) (pow.f64 beta 2)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (*.f64 2 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)))))))))) (+.f64 (*.f64 4 (/.f64 alpha beta)) (*.f64 8 (/.f64 1 beta))))
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(-.f64 (fma.f64 -4 (/.f64 alpha beta) (fma.f64 2 (/.f64 (fma.f64 -2 (*.f64 (+.f64 alpha 2) (-.f64 (-.f64 (neg.f64 alpha) 2) alpha)) (pow.f64 (-.f64 (-.f64 (neg.f64 alpha) 2) alpha) 2)) (/.f64 (pow.f64 beta 3) (-.f64 (*.f64 alpha -2) (+.f64 4 (*.f64 alpha 2))))) (+.f64 1 (fma.f64 -4 (/.f64 (+.f64 alpha 2) (/.f64 (pow.f64 beta 3) (pow.f64 (-.f64 (-.f64 (neg.f64 alpha) 2) alpha) 2))) (fma.f64 4 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (-.f64 (neg.f64 alpha) 2) alpha))) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 alpha -2) (+.f64 4 (*.f64 alpha 2))) 2) (*.f64 beta beta)) (fma.f64 -4 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (-.f64 (neg.f64 alpha) 2) alpha))) (*.f64 2 (/.f64 (pow.f64 (-.f64 (-.f64 (neg.f64 alpha) 2) alpha) 2) (*.f64 beta beta)))))))))) (fma.f64 4 (/.f64 alpha beta) (/.f64 8 beta)))
1
(+.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) 1)
(fma.f64 4 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) 1)
(fma.f64 4 (/.f64 (-.f64 (-.f64 (neg.f64 alpha) 2) alpha) beta) 1)
(+.f64 (*.f64 4 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 1 (+.f64 (*.f64 4 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (*.f64 2 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)))))))
(+.f64 (fma.f64 4 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) beta) 1) (fma.f64 4 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 beta beta)) (fma.f64 -4 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (*.f64 2 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 beta beta))))))
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(/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 beta 2) 4))
(/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 beta) 4))
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(+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 beta 2) 4)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 beta 3) (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (*.f64 (+.f64 (*.f64 -4 (/.f64 (*.f64 beta (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 2))) (*.f64 2 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (+.f64 beta 2))) (*.f64 -2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 2))))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3)) (*.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 4 (/.f64 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)))))
(+.f64 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 beta) 4)) (fma.f64 -4 (/.f64 (pow.f64 beta 3) (/.f64 (pow.f64 (+.f64 2 beta) 3) (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))) (fma.f64 (fma.f64 -4 (/.f64 beta (/.f64 (+.f64 2 beta) (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))))))))) (*.f64 2 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 -2 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (+.f64 2 beta)) (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))))))))) (pow.f64 alpha 3) (*.f64 (*.f64 alpha alpha) (fma.f64 2 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))))) (*.f64 4 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2)))))))))
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1
(+.f64 (*.f64 -4 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) 1)
(fma.f64 -4 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) 1)
(+.f64 (*.f64 -4 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 1 (+.f64 (*.f64 4 (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 4 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2)))))))
(+.f64 (fma.f64 -4 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) 1) (fma.f64 4 (/.f64 (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2) (*.f64 alpha alpha)) (fma.f64 2 (/.f64 (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2) (*.f64 alpha alpha)) (*.f64 4 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))))))
(+.f64 (*.f64 -4 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 1 (+.f64 (*.f64 -4 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (-.f64 beta (*.f64 -1 (+.f64 beta 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -4 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))))))))))
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1
(+.f64 1 (*.f64 4 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)))
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(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) 1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3)) (+.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2)) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 2 (+.f64 alpha beta))) (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 1))
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 2 (+.f64 alpha beta))) (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 2 (+.f64 alpha beta))) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 2 (+.f64 alpha beta))) (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 2 (+.f64 alpha beta)))) (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 2 (+.f64 alpha beta))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3))) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) 1))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3))) (neg.f64 (+.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2)) 1)))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) (-.f64 (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2))) (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2))) (+.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 2 (+.f64 alpha beta))) -1))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) (-.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 1)
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) 2)
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) 3)
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(pow.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 3) 1/3)
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 2))
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))))
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 3))
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(expm1.f64 (log.f64 (-.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))
(expm1.f64 (log.f64 (-.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 2 (+.f64 alpha beta)))))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 2 (+.f64 alpha beta)))) 1))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 2 (+.f64 alpha beta)))))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta)))))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4))) 1)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)
(*.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4) 1)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 8)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 8)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 8)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 8)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 8)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4)) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4)) (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2))))
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))))
(*.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4)) (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2))))
(*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))))
(*.f64 (pow.f64 (-.f64 beta alpha) 4) (pow.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) 4))
(*.f64 (pow.f64 (-.f64 beta alpha) 4) (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) 4))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 4) (pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 4))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 8)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 8)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2)) 4) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 4))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2)) 4) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 4))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 8))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 8))
(log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4) 3))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)
(exp.f64 (*.f64 4 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))
(pow.f64 (exp.f64 4) (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(pow.f64 (exp.f64 4) (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(exp.f64 (*.f64 (*.f64 4 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) 1))
(pow.f64 (exp.f64 4) (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(pow.f64 (exp.f64 4) (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)

eval2.5s (12.1%)

Compiler

Compiled 135509 to 87548 computations (35.4% saved)

prune858.0ms (4.1%)

Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New1847191866
Fresh7411
Picked101
Done235
Total1857261883
Error
0.0b
Counts
1883 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
18.4b
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) 1) 2)
34.1b
(/.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3) 2)
57.2b
(/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) 3) 1/3) 2)
56.9b
(/.f64 (pow.f64 (pow.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)))) 3) 1/3) 2)
34.5b
(/.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))) 1/3) 2)
18.1b
(/.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))) 1/3) 2)
43.2b
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
18.2b
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) 2)
58.5b
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2)
45.9b
(/.f64 (/.f64 2 alpha) 2)
18.4b
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2)
17.7b
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1) (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))))) 2)
17.7b
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)) 2)
45.7b
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))) 2)
45.3b
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) 2)
45.3b
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) 2)
17.7b
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) 2)
34.1b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
18.2b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
19.5b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
18.2b
(/.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3)) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))) (+.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 1)) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) 2)
58.5b
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
45.8b
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
35.1b
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) 2)) 1/2) (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)) (*.f64 (+.f64 (+.f64 beta alpha) 2) (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) -1)))) (*.f64 (+.f64 (+.f64 beta alpha) 2) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))
44.7b
(*.f64 1/2 (+.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha))))
41.0b
1
Compiler

Compiled 1546 to 1081 computations (30.1% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) 2)
0.0b
(exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))
2.1b
(-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)
2.1b
(log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))
Compiler

Compiled 98 to 55 computations (43.9% saved)

series6.0ms (0%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
beta
@-inf
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) 2)
1.0ms
beta
@0
(exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))
0.0ms
beta
@inf
(exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))
0.0ms
alpha
@0
(exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))
0.0ms
alpha
@inf
(exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))

rewrite145.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1446×associate-/r/
884×associate-/l/
378×+-commutative
376×add-sqr-sqrt
362×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016109
1368109
25293109
Stop Event
node limit
Counts
3 → 127
Calls
Call 1
Inputs
(log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))
(exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 alpha 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simplify178.0ms (0.9%)

Algorithm
egg-herbie
Rules
886×associate-*r*
836×distribute-lft-in
800×+-commutative
778×associate-*l*
712×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062515521
1201214321
Stop Event
node limit
Counts
199 → 362
Calls
Call 1
Inputs
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) 1)
-1
(-.f64 (/.f64 alpha beta) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1)
-1
(-.f64 (/.f64 alpha beta) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1)
(exp.f64 -1)
(+.f64 (/.f64 (*.f64 (exp.f64 -1) alpha) (+.f64 beta 2)) (exp.f64 -1))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (exp.f64 -1) (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 (exp.f64 -1) alpha) (+.f64 beta 2)) (exp.f64 -1)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (exp.f64 -1) (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (exp.f64 -1) (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 (*.f64 (exp.f64 -1) alpha) (+.f64 beta 2)) (exp.f64 -1))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 beta 2) 3)) (*.f64 2 (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))))
(exp.f64 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1))
(+.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)) (*.f64 -1 (/.f64 (*.f64 beta (*.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)) alpha)) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (*.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)) alpha)) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (pow.f64 beta 2) (*.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (*.f64 1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4))))))))
(+.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)) (+.f64 (*.f64 (pow.f64 beta 3) (*.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 6))) (+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 5))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (*.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)) alpha)) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (pow.f64 beta 2) (*.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (*.f64 1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))))))))
(exp.f64 -1)
(+.f64 (/.f64 (*.f64 (exp.f64 -1) alpha) beta) (exp.f64 -1))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) alpha)) (*.f64 1/2 (pow.f64 alpha 2))) (exp.f64 -1)) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (exp.f64 -1) alpha) beta) (exp.f64 -1)))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) alpha)) (*.f64 1/2 (pow.f64 alpha 2))) (exp.f64 -1)) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (exp.f64 -1) alpha) beta) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2))) (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (*.f64 1/6 (pow.f64 alpha 3)))) (exp.f64 -1)) (pow.f64 beta 3)) (exp.f64 -1))))
(exp.f64 -1)
(+.f64 (/.f64 (*.f64 (exp.f64 -1) alpha) beta) (exp.f64 -1))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) alpha)) (*.f64 1/2 (pow.f64 alpha 2))) (exp.f64 -1)) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (exp.f64 -1) alpha) beta) (exp.f64 -1)))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) alpha)) (*.f64 1/2 (pow.f64 alpha 2))) (exp.f64 -1)) (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (exp.f64 -1) alpha) beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (+.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 2)) (*.f64 -1/6 (pow.f64 alpha 3)))) (exp.f64 -1)) (pow.f64 beta 3))) (exp.f64 -1))))
(*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (*.f64 1/2 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))))
(+.f64 (*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 1/2 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))) (*.f64 1/2 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))) (+.f64 (*.f64 1/2 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha))))) (*.f64 1/2 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 2))) (+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 2))) (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)))
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 2))) (*.f64 -1/2 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta))))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 2))) (*.f64 -1/2 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)))))
(*.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2))))
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (*.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 1/2 (*.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 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (*.f64 1/2 (*.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 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3)))))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))))))
(*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
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(*.f64 (/.f64 1 (/.f64 2 (sqrt.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))))))) (sqrt.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))))))
(*.f64 (/.f64 1 (/.f64 2 (pow.f64 (cbrt.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))))) 2))) (cbrt.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))))) 2) (sqrt.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))))) 2) 2) (cbrt.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) 2)) 1/2) (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) 2))) (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) 2)) 1/2) (+.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 3) (pow.f64 (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) 3))) (-.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) 2)) (*.f64 (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) (/.f64 beta (+.f64 (+.f64 beta alpha) 2)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) 2)) 1/2) (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)) (*.f64 (+.f64 (+.f64 beta alpha) 2) (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) -1)))) (*.f64 (+.f64 (+.f64 beta alpha) 2) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) 2)) 1/2) (+.f64 (*.f64 beta (+.f64 1 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)))) (*.f64 (+.f64 (+.f64 beta alpha) 2) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 3))))) (*.f64 (+.f64 (+.f64 beta alpha) 2) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) 2)) 1/2) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (+.f64 1 (*.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) beta) (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) -1))))) (*.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) beta) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) 2)) 1/2) (+.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))) (*.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) beta) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 3))))) (*.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) beta) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) 2)) 1/2) (+.f64 (*.f64 (neg.f64 beta) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) -1)))) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) 2)) 1/2) (+.f64 (*.f64 (neg.f64 beta) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)))) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 3))))) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 3) (pow.f64 (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) 3)) 1/2) (-.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 2)) (*.f64 (*.f64 (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (+.f64 -1 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))))) (*.f64 (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (+.f64 -1 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)))))))) (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 2) (*.f64 (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (+.f64 -1 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)))))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 3) (pow.f64 (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) 3)) 1/2) (+.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 2) 3) (pow.f64 (*.f64 (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (+.f64 -1 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))))) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 2)) (-.f64 (*.f64 (*.f64 (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (+.f64 -1 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))))) (*.f64 (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (+.f64 -1 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)))))) (*.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 2) (*.f64 (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (+.f64 -1 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)))))))))
(pow.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) 2) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) 2)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) 2)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) 2) 3) 1/3)
(pow.f64 (/.f64 2 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))))) -1)
(neg.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) -2))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) 2) 1/4))
(log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) 2))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) 2) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) 2)))
(exp.f64 (log.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) 2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) 2)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) 2)))
Outputs
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(+.f64 (/.f64 alpha (+.f64 beta 2)) -1)
(+.f64 -1 (/.f64 alpha (+.f64 beta 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) -1)
(+.f64 -1 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) -1)
(+.f64 -1 (+.f64 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(neg.f64 (/.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -2 beta) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(neg.f64 (/.f64 (+.f64 beta 2) alpha))
(/.f64 (-.f64 -2 beta) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
(+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)
(+.f64 -1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) 1)
(+.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (neg.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)))) -1)
(+.f64 -1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) alpha)))
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) 1)
(+.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (neg.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha)))) -1)
(+.f64 (-.f64 (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 beta beta))) (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) alpha)) (+.f64 -1 (/.f64 alpha (+.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) 1)
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (+.f64 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha)) (fma.f64 -1 (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 4)) (neg.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))))) 1))
(+.f64 -1 (+.f64 (-.f64 (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 beta beta))) (*.f64 (pow.f64 beta 3) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)))) (-.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) alpha))))
-1
(-.f64 (/.f64 alpha beta) 1)
(+.f64 (/.f64 alpha beta) -1)
(+.f64 -1 (/.f64 alpha beta))
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1)
(+.f64 (/.f64 alpha beta) (-.f64 (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) 1))
(+.f64 -1 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) alpha)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1)
(+.f64 (/.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (-.f64 (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) 1)))
(+.f64 -1 (+.f64 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))
-1
(-.f64 (/.f64 alpha beta) 1)
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1
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1
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1
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1
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(*.f64 (-.f64 (-.f64 -2 alpha) beta) (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (/.f64 (*.f64 1/2 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2))) (+.f64 (*.f64 beta (-.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (-.f64 (-.f64 -2 alpha) beta))))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 3) (pow.f64 (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) 3)) 1/2) (-.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 2)) (*.f64 (*.f64 (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (+.f64 -1 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))))) (*.f64 (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (+.f64 -1 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)))))))) (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 2) (*.f64 (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (+.f64 -1 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)))))))
(*.f64 (/.f64 (*.f64 1/2 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 3))) (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 4) (*.f64 (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2) (*.f64 (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))))) (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (/.f64 1/2 (/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 4) (*.f64 (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (*.f64 (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2)))) (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 3)))) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 3) (pow.f64 (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) 3)) 1/2) (+.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 2) 3) (pow.f64 (*.f64 (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (+.f64 -1 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))))) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 2)) (-.f64 (*.f64 (*.f64 (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (+.f64 -1 (/.f64 beta (+.f64 (+.f64 beta alpha) 2))))) (*.f64 (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (+.f64 -1 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)))))) (*.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 2) (*.f64 (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (+.f64 -1 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)))))))))
(*.f64 (/.f64 (*.f64 1/2 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 3))) (+.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) 3) (pow.f64 (*.f64 (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 3))) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 4) (*.f64 (*.f64 (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (-.f64 (*.f64 (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)))))
(*.f64 (/.f64 1/2 (/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) 3) (pow.f64 (*.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 3)) (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 3)))) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 4) (*.f64 (*.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (-.f64 (*.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2)))))
(pow.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) 2) 1)
(-.f64 (/.f64 beta (+.f64 (*.f64 2 (+.f64 alpha beta)) 4)) (+.f64 (/.f64 (/.f64 alpha 2) (+.f64 beta (+.f64 alpha 2))) -1/2))
(*.f64 1/2 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) 2)) 2)
(-.f64 (/.f64 beta (+.f64 (*.f64 2 (+.f64 alpha beta)) 4)) (+.f64 (/.f64 (/.f64 alpha 2) (+.f64 beta (+.f64 alpha 2))) -1/2))
(*.f64 1/2 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) 2)) 3)
(-.f64 (/.f64 beta (+.f64 (*.f64 2 (+.f64 alpha beta)) 4)) (+.f64 (/.f64 (/.f64 alpha 2) (+.f64 beta (+.f64 alpha 2))) -1/2))
(*.f64 1/2 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(pow.f64 (pow.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) 2) 3) 1/3)
(-.f64 (/.f64 beta (+.f64 (*.f64 2 (+.f64 alpha beta)) 4)) (+.f64 (/.f64 (/.f64 alpha 2) (+.f64 beta (+.f64 alpha 2))) -1/2))
(*.f64 1/2 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(pow.f64 (/.f64 2 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))))) -1)
(-.f64 (/.f64 beta (+.f64 (*.f64 2 (+.f64 alpha beta)) 4)) (+.f64 (/.f64 (/.f64 alpha 2) (+.f64 beta (+.f64 alpha 2))) -1/2))
(*.f64 1/2 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(neg.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) -2))
(/.f64 (neg.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))) -2)
(/.f64 (neg.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) -2)
(sqrt.f64 (*.f64 (pow.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) 2) 1/4))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2) 1/4))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 2) 1/4))
(log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))))))
(log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))))
(log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) 2))))
(-.f64 (/.f64 beta (+.f64 (*.f64 2 (+.f64 alpha beta)) 4)) (+.f64 (/.f64 (/.f64 alpha 2) (+.f64 beta (+.f64 alpha 2))) -1/2))
(*.f64 1/2 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) 2) 3))
(-.f64 (/.f64 beta (+.f64 (*.f64 2 (+.f64 alpha beta)) 4)) (+.f64 (/.f64 (/.f64 alpha 2) (+.f64 beta (+.f64 alpha 2))) -1/2))
(*.f64 1/2 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) 2)))
(-.f64 (/.f64 beta (+.f64 (*.f64 2 (+.f64 alpha beta)) 4)) (+.f64 (/.f64 (/.f64 alpha 2) (+.f64 beta (+.f64 alpha 2))) -1/2))
(*.f64 1/2 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (log.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) 2)))
(-.f64 (/.f64 beta (+.f64 (*.f64 2 (+.f64 alpha beta)) 4)) (+.f64 (/.f64 (/.f64 alpha 2) (+.f64 beta (+.f64 alpha 2))) -1/2))
(*.f64 1/2 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) 2)) 1))
(-.f64 (/.f64 beta (+.f64 (*.f64 2 (+.f64 alpha beta)) 4)) (+.f64 (/.f64 (/.f64 alpha 2) (+.f64 beta (+.f64 alpha 2))) -1/2))
(*.f64 1/2 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) 2)))
(-.f64 (/.f64 beta (+.f64 (*.f64 2 (+.f64 alpha beta)) 4)) (+.f64 (/.f64 (/.f64 alpha 2) (+.f64 beta (+.f64 alpha 2))) -1/2))
(*.f64 1/2 (+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))

localize5.0ms (0%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 42 to 32 computations (23.8% saved)

series10.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
5.0ms
beta
@0
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))
2.0ms
beta
@-inf
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))
1.0ms
alpha
@0
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))
0.0ms
beta
@inf
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))
0.0ms
alpha
@-inf
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))

rewrite138.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1510×associate-*r/
1116×associate-*l/
1098×associate-/r*
1066×*-commutative
818×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01044
122136
2291636
Stop Event
node limit
Counts
2 → 175
Calls
Call 1
Inputs
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))
(/.f64 (+.f64 2 (*.f64 alpha 2)) beta)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 beta (+.f64 2 (*.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (*.f64 alpha 2)) (/.f64 beta -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 beta -1/2) (+.f64 2 (*.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2))) beta)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2))) (/.f64 beta 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -2 (*.f64 alpha 2)) (/.f64 (neg.f64 beta) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (neg.f64 (/.f64 beta (+.f64 2 (*.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2)))) (cbrt.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2))))) (/.f64 beta (cbrt.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (sqrt.f64 (+.f64 2 (*.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 2 (*.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 2 (*.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (+.f64 alpha 1)) (/.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/2 beta) (/.f64 1/2 (+.f64 alpha 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) (sqrt.f64 (/.f64 beta (+.f64 2 (*.f64 alpha 2)))))))) (#(struct:change 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simplify122.0ms (0.6%)

Algorithm
egg-herbie
Rules
1182×associate-/l*
632×distribute-lft-neg-out
556×distribute-lft-neg-in
536×times-frac
498×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04617363
112495709
259395279
Stop Event
node limit
Counts
223 → 270
Calls
Call 1
Inputs
(/.f64 -1 beta)
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(*.f64 -1 (/.f64 alpha beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(*.f64 -1 (/.f64 alpha beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))
(/.f64 2 beta)
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 2 (/.f64 1 beta)))
(*.f64 2 (/.f64 alpha beta))
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(*.f64 2 (/.f64 alpha beta))
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 2 (/.f64 alpha beta)))
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))) 1)
(/.f64 -1/2 (/.f64 beta (+.f64 2 (*.f64 alpha 2))))
(/.f64 (+.f64 2 (*.f64 alpha 2)) (/.f64 beta -1/2))
(/.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) 1)
(/.f64 1 (/.f64 (/.f64 beta -1/2) (+.f64 2 (*.f64 alpha 2))))
(/.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2))) beta)
(/.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2))) (/.f64 beta 1))
(/.f64 (-.f64 -2 (*.f64 alpha 2)) (/.f64 (neg.f64 beta) -1/2))
(/.f64 1/2 (neg.f64 (/.f64 beta (+.f64 2 (*.f64 alpha 2)))))
(/.f64 (sqrt.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2))))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2)))) (cbrt.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2))))) (/.f64 beta (cbrt.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2))))))
(/.f64 (*.f64 -1/2 (sqrt.f64 (+.f64 2 (*.f64 alpha 2)))) (/.f64 beta (sqrt.f64 (+.f64 2 (*.f64 alpha 2)))))
(/.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 alpha 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 2 (*.f64 alpha 2)))))
(/.f64 (*.f64 -1/2 (+.f64 alpha 1)) (/.f64 beta 2))
(/.f64 (/.f64 -1/2 beta) (/.f64 1/2 (+.f64 alpha 1)))
(/.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) (sqrt.f64 (/.f64 beta (+.f64 2 (*.f64 alpha 2)))))
(/.f64 (*.f64 -1/2 (-.f64 4 (*.f64 alpha (*.f64 alpha 4)))) (*.f64 beta (+.f64 2 (*.f64 alpha -2))))
(/.f64 (*.f64 -1/2 (+.f64 8 (*.f64 (pow.f64 alpha 3) 8))) (*.f64 beta (+.f64 (*.f64 alpha (*.f64 alpha 4)) (-.f64 4 (*.f64 alpha 4)))))
(/.f64 (*.f64 -1/2 (-.f64 -2 (*.f64 alpha 2))) (neg.f64 beta))
(/.f64 (/.f64 -1/2 (/.f64 (sqrt.f64 beta) (+.f64 2 (*.f64 alpha 2)))) (sqrt.f64 beta))
(/.f64 (/.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (+.f64 2 (*.f64 alpha 2)))) (cbrt.f64 beta))
(/.f64 (neg.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2)))) (neg.f64 beta))
(/.f64 (*.f64 -1/2 (/.f64 (-.f64 4 (*.f64 alpha (*.f64 alpha 4))) beta)) (+.f64 2 (*.f64 alpha -2)))
(/.f64 (*.f64 -1/2 (/.f64 (+.f64 8 (*.f64 (pow.f64 alpha 3) 8)) beta)) (+.f64 (*.f64 alpha (*.f64 alpha 4)) (-.f64 4 (*.f64 alpha 4))))
(/.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) (sqrt.f64 beta))) (sqrt.f64 beta))
(/.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) (pow.f64 (cbrt.f64 beta) 2))) (cbrt.f64 beta))
(/.f64 (*.f64 -1/2 (neg.f64 (-.f64 -2 (*.f64 alpha 2)))) (neg.f64 (neg.f64 beta)))
(/.f64 (*.f64 1 (*.f64 -1/2 (-.f64 -2 (*.f64 alpha 2)))) (neg.f64 beta))
(/.f64 (*.f64 1 (/.f64 -1/2 (/.f64 (sqrt.f64 beta) (+.f64 2 (*.f64 alpha 2))))) (sqrt.f64 beta))
(/.f64 (*.f64 1 (/.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (+.f64 2 (*.f64 alpha 2))))) (cbrt.f64 beta))
(/.f64 (*.f64 1 (neg.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2))))) (neg.f64 beta))
(/.f64 (*.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) (sqrt.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2))))) (sqrt.f64 beta))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2) (cbrt.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2))))) (cbrt.f64 beta))
(/.f64 (*.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2))) (/.f64 1 (sqrt.f64 beta))) (sqrt.f64 beta))
(/.f64 (*.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2))) (/.f64 1 (pow.f64 (cbrt.f64 beta) 2))) (cbrt.f64 beta))
(/.f64 (*.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2))) -1) (neg.f64 beta))
(/.f64 (*.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 1) (sqrt.f64 (/.f64 beta (+.f64 2 (*.f64 alpha 2)))))
(/.f64 (*.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) (sqrt.f64 (+.f64 2 (*.f64 alpha 2)))) (sqrt.f64 beta))
(/.f64 (*.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) (sqrt.f64 (-.f64 -2 (*.f64 alpha 2)))) (sqrt.f64 (neg.f64 beta)))
(/.f64 (*.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) 2)) 1) (cbrt.f64 (/.f64 beta (+.f64 2 (*.f64 alpha 2)))))
(/.f64 (*.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) 2)) (cbrt.f64 (+.f64 2 (*.f64 alpha 2)))) (cbrt.f64 beta))
(/.f64 (*.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) 2)) (cbrt.f64 (-.f64 -2 (*.f64 alpha 2)))) (cbrt.f64 (neg.f64 beta)))
(/.f64 (*.f64 (/.f64 -1/2 (sqrt.f64 beta)) (+.f64 2 (*.f64 alpha 2))) (sqrt.f64 beta))
(/.f64 (*.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 beta) 2)) (+.f64 2 (*.f64 alpha 2))) (cbrt.f64 beta))
(/.f64 (*.f64 1 (/.f64 -1/2 beta)) (/.f64 1/2 (+.f64 alpha 1)))
(/.f64 (*.f64 (-.f64 4 (*.f64 alpha (*.f64 alpha 4))) (/.f64 -1/2 beta)) (+.f64 2 (*.f64 alpha -2)))
(/.f64 (*.f64 (+.f64 8 (*.f64 (pow.f64 alpha 3) 8)) (/.f64 -1/2 beta)) (+.f64 (*.f64 alpha (*.f64 alpha 4)) (-.f64 4 (*.f64 alpha 4))))
(/.f64 (*.f64 (neg.f64 (-.f64 4 (*.f64 alpha (*.f64 alpha 4)))) (/.f64 -1/2 beta)) (neg.f64 (+.f64 2 (*.f64 alpha -2))))
(/.f64 (*.f64 (neg.f64 (+.f64 8 (*.f64 (pow.f64 alpha 3) 8))) (/.f64 -1/2 beta)) (neg.f64 (+.f64 (*.f64 alpha (*.f64 alpha 4)) (-.f64 4 (*.f64 alpha 4)))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha (*.f64 alpha 4)) 4) (/.f64 -1/2 beta)) (-.f64 (*.f64 alpha 2) 2))
(/.f64 (*.f64 (/.f64 (-.f64 4 (*.f64 alpha (*.f64 alpha 4))) beta) -1/2) (+.f64 2 (*.f64 alpha -2)))
(/.f64 (*.f64 (/.f64 (+.f64 8 (*.f64 (pow.f64 alpha 3) 8)) beta) -1/2) (+.f64 (*.f64 alpha (*.f64 alpha 4)) (-.f64 4 (*.f64 alpha 4))))
(/.f64 (*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) (sqrt.f64 beta)) -1/2) (sqrt.f64 beta))
(/.f64 (*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) (pow.f64 (cbrt.f64 beta) 2)) -1/2) (cbrt.f64 beta))
(/.f64 (*.f64 (neg.f64 (-.f64 -2 (*.f64 alpha 2))) -1/2) (neg.f64 (neg.f64 beta)))
(/.f64 (*.f64 (*.f64 -1/2 (-.f64 -2 (*.f64 alpha 2))) 1) (neg.f64 beta))
(/.f64 (*.f64 (/.f64 -1/2 (/.f64 (sqrt.f64 beta) (+.f64 2 (*.f64 alpha 2)))) 1) (sqrt.f64 beta))
(/.f64 (*.f64 (/.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (+.f64 2 (*.f64 alpha 2)))) 1) (cbrt.f64 beta))
(/.f64 (*.f64 (neg.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2)))) 1) (neg.f64 beta))
(/.f64 (*.f64 1 (*.f64 -1/2 (sqrt.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))) (sqrt.f64 (/.f64 beta (+.f64 2 (*.f64 alpha 2)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 2 (*.f64 alpha 2))) (*.f64 -1/2 (sqrt.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))) (sqrt.f64 beta))
(/.f64 (*.f64 (sqrt.f64 (-.f64 -2 (*.f64 alpha 2))) (*.f64 -1/2 (sqrt.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))) (sqrt.f64 (neg.f64 beta)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2)))) (sqrt.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))) (sqrt.f64 beta))
(/.f64 (*.f64 (cbrt.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2)))) (pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)) (cbrt.f64 beta))
(/.f64 (*.f64 (*.f64 -1/2 (-.f64 4 (*.f64 alpha (*.f64 alpha 4)))) (/.f64 1 beta)) (+.f64 2 (*.f64 alpha -2)))
(/.f64 (*.f64 (*.f64 -1/2 (+.f64 8 (*.f64 (pow.f64 alpha 3) 8))) (/.f64 1 beta)) (+.f64 (*.f64 alpha (*.f64 alpha 4)) (-.f64 4 (*.f64 alpha 4))))
(/.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) (cbrt.f64 beta))) (pow.f64 (cbrt.f64 beta) 2))
(/.f64 (/.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2))) (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2))
(/.f64 (/.f64 -1/2 (*.f64 (cbrt.f64 (/.f64 beta (+.f64 2 (*.f64 alpha 2)))) (cbrt.f64 (/.f64 beta (+.f64 2 (*.f64 alpha 2)))))) (cbrt.f64 (/.f64 beta (+.f64 2 (*.f64 alpha 2)))))
(/.f64 (/.f64 -1/2 (/.f64 beta (-.f64 4 (*.f64 alpha (*.f64 alpha 4))))) (+.f64 2 (*.f64 alpha -2)))
(/.f64 (/.f64 -1/2 (/.f64 beta (+.f64 8 (*.f64 (pow.f64 alpha 3) 8)))) (+.f64 (*.f64 alpha (*.f64 alpha 4)) (-.f64 4 (*.f64 alpha 4))))
(/.f64 (/.f64 -1/2 (/.f64 1 (sqrt.f64 (+.f64 2 (*.f64 alpha 2))))) (/.f64 beta (sqrt.f64 (+.f64 2 (*.f64 alpha 2)))))
(/.f64 (/.f64 -1/2 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 alpha 2))) 2))) (/.f64 beta (cbrt.f64 (+.f64 2 (*.f64 alpha 2)))))
(/.f64 (/.f64 -1/2 (/.f64 1 (+.f64 alpha 1))) (/.f64 beta 2))
(/.f64 (/.f64 -1/2 (/.f64 (sqrt.f64 beta) 1)) (/.f64 (sqrt.f64 beta) (+.f64 2 (*.f64 alpha 2))))
(/.f64 (/.f64 -1/2 (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 (*.f64 alpha 2))))) (/.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 (*.f64 alpha 2)))))
(/.f64 (/.f64 -1/2 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 alpha 2))) 2))) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 2 (*.f64 alpha 2)))))
(/.f64 (/.f64 -1/2 (/.f64 (sqrt.f64 beta) (+.f64 alpha 1))) (/.f64 (sqrt.f64 beta) 2))
(/.f64 (/.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1)) (/.f64 (cbrt.f64 beta) (+.f64 2 (*.f64 alpha 2))))
(/.f64 (/.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 2 (*.f64 alpha 2))))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 2 (*.f64 alpha 2)))))
(/.f64 (/.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 alpha 2))) 2))) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 2 (*.f64 alpha 2)))))
(/.f64 (/.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (+.f64 alpha 1))) (/.f64 (cbrt.f64 beta) 2))
(/.f64 (/.f64 (*.f64 -1/2 (-.f64 -2 (*.f64 alpha 2))) 1) (neg.f64 beta))
(/.f64 (/.f64 (*.f64 -1/2 (-.f64 -2 (*.f64 alpha 2))) (sqrt.f64 beta)) (neg.f64 (sqrt.f64 beta)))
(/.f64 (/.f64 (*.f64 -1/2 (-.f64 -2 (*.f64 alpha 2))) (pow.f64 (cbrt.f64 beta) 2)) (neg.f64 (cbrt.f64 beta)))
(/.f64 (/.f64 (*.f64 -1/2 (-.f64 -2 (*.f64 alpha 2))) (sqrt.f64 (neg.f64 beta))) (sqrt.f64 (neg.f64 beta)))
(/.f64 (/.f64 (*.f64 -1/2 (-.f64 -2 (*.f64 alpha 2))) (*.f64 (cbrt.f64 (neg.f64 beta)) (cbrt.f64 (neg.f64 beta)))) (cbrt.f64 (neg.f64 beta)))
(/.f64 (/.f64 (*.f64 -1/2 (-.f64 -2 (*.f64 alpha 2))) -1) beta)
(/.f64 (/.f64 (*.f64 -1/2 (-.f64 -2 (*.f64 alpha 2))) (neg.f64 (sqrt.f64 beta))) (sqrt.f64 beta))
(/.f64 (/.f64 (*.f64 -1/2 (-.f64 -2 (*.f64 alpha 2))) (neg.f64 (pow.f64 (cbrt.f64 beta) 2))) (cbrt.f64 beta))
(/.f64 (/.f64 (/.f64 -1/2 (/.f64 (sqrt.f64 beta) (+.f64 2 (*.f64 alpha 2)))) 1) (sqrt.f64 beta))
(/.f64 (/.f64 (/.f64 -1/2 (/.f64 (sqrt.f64 beta) (+.f64 2 (*.f64 alpha 2)))) (cbrt.f64 beta)) (cbrt.f64 (sqrt.f64 beta)))
(/.f64 (/.f64 (/.f64 -1/2 (/.f64 (sqrt.f64 beta) (+.f64 2 (*.f64 alpha 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 beta) 2))) (sqrt.f64 (cbrt.f64 beta)))
(/.f64 (/.f64 (/.f64 -1/2 (/.f64 (sqrt.f64 beta) (+.f64 2 (*.f64 alpha 2)))) (sqrt.f64 (sqrt.f64 beta))) (sqrt.f64 (sqrt.f64 beta)))
(/.f64 (/.f64 (/.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (+.f64 2 (*.f64 alpha 2)))) 1) (cbrt.f64 beta))
(/.f64 (/.f64 (/.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (+.f64 2 (*.f64 alpha 2)))) (sqrt.f64 (cbrt.f64 beta))) (sqrt.f64 (cbrt.f64 beta)))
(/.f64 (/.f64 (/.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (+.f64 2 (*.f64 alpha 2)))) (*.f64 (cbrt.f64 (cbrt.f64 beta)) (cbrt.f64 (cbrt.f64 beta)))) (cbrt.f64 (cbrt.f64 beta)))
(/.f64 (/.f64 (/.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (+.f64 2 (*.f64 alpha 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 beta) 2))) (cbrt.f64 (cbrt.f64 beta)))
(/.f64 (/.f64 (/.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (+.f64 2 (*.f64 alpha 2)))) (cbrt.f64 (sqrt.f64 beta))) (cbrt.f64 (sqrt.f64 beta)))
(/.f64 (/.f64 (neg.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2)))) 1) (neg.f64 beta))
(/.f64 (/.f64 (neg.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2)))) (sqrt.f64 beta)) (neg.f64 (sqrt.f64 beta)))
(/.f64 (/.f64 (neg.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2)))) (pow.f64 (cbrt.f64 beta) 2)) (neg.f64 (cbrt.f64 beta)))
(/.f64 (/.f64 (neg.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2)))) (sqrt.f64 (neg.f64 beta))) (sqrt.f64 (neg.f64 beta)))
(/.f64 (/.f64 (neg.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2)))) (*.f64 (cbrt.f64 (neg.f64 beta)) (cbrt.f64 (neg.f64 beta)))) (cbrt.f64 (neg.f64 beta)))
(/.f64 (/.f64 (neg.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2)))) -1) beta)
(/.f64 (/.f64 (neg.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2)))) (neg.f64 (sqrt.f64 beta))) (sqrt.f64 beta))
(/.f64 (/.f64 (neg.f64 (*.f64 -1/2 (+.f64 2 (*.f64 alpha 2)))) (neg.f64 (pow.f64 (cbrt.f64 beta) 2))) (cbrt.f64 beta))
(pow.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) 1)
(pow.f64 (sqrt.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 3)
(pow.f64 (pow.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) 1/4))
(log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))))
(exp.f64 (log.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))) 1)
(*.f64 (+.f64 2 (*.f64 alpha 2)) (/.f64 1 beta))
(*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 1)
(*.f64 1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))
(*.f64 (sqrt.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) (sqrt.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
(*.f64 (sqrt.f64 (+.f64 2 (*.f64 alpha 2))) (/.f64 (sqrt.f64 (+.f64 2 (*.f64 alpha 2))) beta))
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 alpha 2))) 2) (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) 2) (cbrt.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 alpha 2))) 2) (/.f64 (cbrt.f64 (+.f64 2 (*.f64 alpha 2))) beta))
(*.f64 (+.f64 alpha 1) (/.f64 2 beta))
(*.f64 (/.f64 1 beta) (+.f64 2 (*.f64 alpha 2)))
(*.f64 (-.f64 -2 (*.f64 alpha 2)) (/.f64 -1 beta))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (*.f64 alpha 2))) beta) (sqrt.f64 (+.f64 2 (*.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (*.f64 alpha 2))) beta) (/.f64 (sqrt.f64 (+.f64 2 (*.f64 alpha 2))) 1))
(*.f64 (/.f64 (cbrt.f64 (+.f64 2 (*.f64 alpha 2))) beta) (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 alpha 2))) 2))
(*.f64 (/.f64 (cbrt.f64 (+.f64 2 (*.f64 alpha 2))) beta) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 alpha 2))) 2) 1))
(*.f64 (/.f64 2 beta) (+.f64 alpha 1))
(*.f64 (/.f64 2 beta) (/.f64 (+.f64 alpha 1) 1))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (+.f64 2 (*.f64 alpha 2)) (sqrt.f64 beta)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (+.f64 2 (*.f64 alpha 2)) (cbrt.f64 beta)))
(*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) (sqrt.f64 beta)) (/.f64 1 (sqrt.f64 beta)))
(*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) (cbrt.f64 beta)) (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (/.f64 -1 beta) (-.f64 -2 (*.f64 alpha 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (*.f64 alpha 2))) 1) (/.f64 (sqrt.f64 (+.f64 2 (*.f64 alpha 2))) beta))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (*.f64 alpha 2))) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (+.f64 2 (*.f64 alpha 2))) (cbrt.f64 beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (*.f64 alpha 2))) (cbrt.f64 beta)) (/.f64 (sqrt.f64 (+.f64 2 (*.f64 alpha 2))) (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 alpha 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 (*.f64 alpha 2))) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 alpha 2))) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (+.f64 2 (*.f64 alpha 2))) (sqrt.f64 beta)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 2 (*.f64 alpha 2))) (sqrt.f64 beta)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 alpha 2))) 2) (sqrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 alpha 2))) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
(*.f64 (/.f64 (+.f64 alpha 1) 1) (/.f64 2 beta))
(*.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 beta)) (/.f64 2 (sqrt.f64 beta)))
(*.f64 (/.f64 2 (sqrt.f64 beta)) (/.f64 (+.f64 alpha 1) (sqrt.f64 beta)))
(*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 2 (cbrt.f64 beta)))
(*.f64 (/.f64 2 (cbrt.f64 beta)) (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (/.f64 (+.f64 alpha 1) beta) 2)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 alpha 2))) 2) beta) (cbrt.f64 (+.f64 2 (*.f64 alpha 2))))
(*.f64 (/.f64 1 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 2 (*.f64 alpha 2))) 2))) (cbrt.f64 (+.f64 2 (*.f64 alpha 2))))
(*.f64 (/.f64 1 (/.f64 beta (+.f64 alpha 1))) 2)
(*.f64 (/.f64 (/.f64 (-.f64 4 (*.f64 alpha (*.f64 alpha 4))) beta) (-.f64 4 (*.f64 alpha (*.f64 alpha 4)))) (+.f64 2 (*.f64 alpha 2)))
(*.f64 (/.f64 (/.f64 (-.f64 4 (*.f64 alpha (*.f64 alpha 4))) beta) (-.f64 8 (*.f64 (pow.f64 alpha 3) 8))) (+.f64 (+.f64 (*.f64 alpha (*.f64 alpha 4)) 4) (*.f64 alpha 4)))
(*.f64 (/.f64 (/.f64 (+.f64 8 (*.f64 (pow.f64 alpha 3) 8)) beta) (-.f64 16 (*.f64 (-.f64 (*.f64 alpha (*.f64 alpha 4)) (*.f64 alpha 4)) (-.f64 (*.f64 alpha (*.f64 alpha 4)) (*.f64 alpha 4))))) (+.f64 (-.f64 4 (*.f64 alpha (*.f64 alpha 4))) (*.f64 alpha 4)))
(*.f64 (/.f64 (/.f64 (+.f64 8 (*.f64 (pow.f64 alpha 3) 8)) beta) (+.f64 64 (pow.f64 (-.f64 (*.f64 alpha (*.f64 alpha 4)) (*.f64 alpha 4)) 3))) (-.f64 (+.f64 16 (*.f64 (-.f64 (*.f64 alpha (*.f64 alpha 4)) (*.f64 alpha 4)) (-.f64 (*.f64 alpha (*.f64 alpha 4)) (*.f64 alpha 4)))) (*.f64 4 (-.f64 (*.f64 alpha (*.f64 alpha 4)) (*.f64 alpha 4)))))
(pow.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 3) 1/3)
(pow.f64 (/.f64 beta (+.f64 2 (*.f64 alpha 2))) -1)
(neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) (neg.f64 beta)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
(exp.f64 (log.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
Outputs
(/.f64 -1 beta)
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(-.f64 (neg.f64 (/.f64 alpha beta)) (/.f64 1 beta))
(fma.f64 -1 (/.f64 alpha beta) (/.f64 -1 beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(-.f64 (neg.f64 (/.f64 alpha beta)) (/.f64 1 beta))
(fma.f64 -1 (/.f64 alpha beta) (/.f64 -1 beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(-.f64 (neg.f64 (/.f64 alpha beta)) (/.f64 1 beta))
(fma.f64 -1 (/.f64 alpha beta) (/.f64 -1 beta))
(*.f64 -1 (/.f64 alpha beta))
(neg.f64 (/.f64 alpha beta))
(/.f64 (neg.f64 alpha) beta)
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(-.f64 (neg.f64 (/.f64 alpha beta)) (/.f64 1 beta))
(fma.f64 -1 (/.f64 alpha beta) (/.f64 -1 beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(-.f64 (neg.f64 (/.f64 alpha beta)) (/.f64 1 beta))
(fma.f64 -1 (/.f64 alpha beta) (/.f64 -1 beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(-.f64 (neg.f64 (/.f64 alpha beta)) (/.f64 1 beta))
(fma.f64 -1 (/.f64 alpha beta) (/.f64 -1 beta))
(*.f64 -1 (/.f64 alpha beta))
(neg.f64 (/.f64 alpha beta))
(/.f64 (neg.f64 alpha) beta)
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(-.f64 (neg.f64 (/.f64 alpha beta)) (/.f64 1 beta))
(fma.f64 -1 (/.f64 alpha beta) (/.f64 -1 beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(-.f64 (neg.f64 (/.f64 alpha beta)) (/.f64 1 beta))
(fma.f64 -1 (/.f64 alpha beta) (/.f64 -1 beta))
(-.f64 (*.f64 -1 (/.f64 alpha beta)) (/.f64 1 beta))
(-.f64 (neg.f64 (/.f64 alpha beta)) (/.f64 1 beta))
(fma.f64 -1 (/.f64 alpha beta) (/.f64 -1 beta))
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))
(*.f64 -1/2 (*.f64 (/.f64 2 beta) (+.f64 alpha 1)))
(/.f64 (+.f64 -1 (neg.f64 alpha)) beta)
(/.f64 (-.f64 -1 alpha) beta)
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))
(*.f64 -1/2 (*.f64 (/.f64 2 beta) (+.f64 alpha 1)))
(/.f64 (+.f64 -1 (neg.f64 alpha)) beta)
(/.f64 (-.f64 -1 alpha) beta)
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))
(*.f64 -1/2 (*.f64 (/.f64 2 beta) (+.f64 alpha 1)))
(/.f64 (+.f64 -1 (neg.f64 alpha)) beta)
(/.f64 (-.f64 -1 alpha) beta)
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))
(*.f64 -1/2 (*.f64 (/.f64 2 beta) (+.f64 alpha 1)))
(/.f64 (+.f64 -1 (neg.f64 alpha)) beta)
(/.f64 (-.f64 -1 alpha) beta)
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))
(*.f64 -1/2 (*.f64 (/.f64 2 beta) (+.f64 alpha 1)))
(/.f64 (+.f64 -1 (neg.f64 alpha)) beta)
(/.f64 (-.f64 -1 alpha) beta)
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))
(*.f64 -1/2 (*.f64 (/.f64 2 beta) (+.f64 alpha 1)))
(/.f64 (+.f64 -1 (neg.f64 alpha)) beta)
(/.f64 (-.f64 -1 alpha) beta)
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))
(*.f64 -1/2 (*.f64 (/.f64 2 beta) (+.f64 alpha 1)))
(/.f64 (+.f64 -1 (neg.f64 alpha)) beta)
(/.f64 (-.f64 -1 alpha) beta)
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))
(*.f64 -1/2 (*.f64 (/.f64 2 beta) (+.f64 alpha 1)))
(/.f64 (+.f64 -1 (neg.f64 alpha)) beta)
(/.f64 (-.f64 -1 alpha) beta)
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))
(*.f64 -1/2 (*.f64 (/.f64 2 beta) (+.f64 alpha 1)))
(/.f64 (+.f64 -1 (neg.f64 alpha)) beta)
(/.f64 (-.f64 -1 alpha) beta)
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))
(*.f64 -1/2 (*.f64 (/.f64 2 beta) (+.f64 alpha 1)))
(/.f64 (+.f64 -1 (neg.f64 alpha)) beta)
(/.f64 (-.f64 -1 alpha) beta)
(*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))
(*.f64 -1/2 (*.f64 (/.f64 2 beta) (+.f64 alpha 1)))
(/.f64 (+.f64 -1 (neg.f64 alpha)) beta)
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(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) 1) 8) beta) (-.f64 16 (*.f64 (*.f64 alpha (-.f64 (*.f64 alpha 4) 4)) (*.f64 alpha (-.f64 (*.f64 alpha 4) 4))))) (-.f64 4 (*.f64 alpha (-.f64 (*.f64 alpha 4) 4))))
(*.f64 (/.f64 (fma.f64 8 (pow.f64 alpha 3) 8) (*.f64 beta (-.f64 16 (*.f64 alpha (*.f64 (fma.f64 alpha 4 -4) (*.f64 alpha (fma.f64 alpha 4 -4))))))) (-.f64 4 (*.f64 alpha (fma.f64 alpha 4 -4))))
(*.f64 (/.f64 (/.f64 (+.f64 8 (*.f64 (pow.f64 alpha 3) 8)) beta) (+.f64 64 (pow.f64 (-.f64 (*.f64 alpha (*.f64 alpha 4)) (*.f64 alpha 4)) 3))) (-.f64 (+.f64 16 (*.f64 (-.f64 (*.f64 alpha (*.f64 alpha 4)) (*.f64 alpha 4)) (-.f64 (*.f64 alpha (*.f64 alpha 4)) (*.f64 alpha 4)))) (*.f64 4 (-.f64 (*.f64 alpha (*.f64 alpha 4)) (*.f64 alpha 4)))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) 1) 8) beta) (+.f64 64 (pow.f64 (*.f64 alpha (-.f64 (*.f64 alpha 4) 4)) 3))) (+.f64 16 (-.f64 (*.f64 (*.f64 alpha (-.f64 (*.f64 alpha 4) 4)) (*.f64 alpha (-.f64 (*.f64 alpha 4) 4))) (*.f64 4 (*.f64 alpha (-.f64 (*.f64 alpha 4) 4))))))
(*.f64 (/.f64 (fma.f64 8 (pow.f64 alpha 3) 8) (*.f64 beta (+.f64 64 (pow.f64 (*.f64 alpha (fma.f64 alpha 4 -4)) 3)))) (+.f64 16 (*.f64 (*.f64 alpha (fma.f64 alpha 4 -4)) (-.f64 (*.f64 alpha (fma.f64 alpha 4 -4)) 4))))
(pow.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 1)
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) 2)
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)) 3)
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(pow.f64 (pow.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 3) 1/3)
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(pow.f64 (/.f64 beta (+.f64 2 (*.f64 alpha 2))) -1)
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(neg.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) (neg.f64 beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 2 beta) (+.f64 alpha 1)) 2))
(fabs.f64 (/.f64 (fma.f64 alpha 2 2) beta))
(log.f64 (exp.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta))))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 3))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(exp.f64 (log.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
(fma.f64 2 (/.f64 alpha beta) (/.f64 2 beta))
(/.f64 (fma.f64 alpha 2 2) beta)

localize58.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))
0.1b
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)
1.5b
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))
2.1b
(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))
Compiler

Compiled 172 to 85 computations (50.6% saved)

series51.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
12.0ms
beta
@0
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))
10.0ms
alpha
@-inf
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))
8.0ms
alpha
@0
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))
7.0ms
alpha
@inf
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))
2.0ms
beta
@inf
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))

rewrite156.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1408×associate-/l/
468×+-commutative
444×associate-+l+
428×add-sqr-sqrt
416×*-un-lft-identity
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017208
1416208
26205130
Stop Event
node limit
Counts
4 → 183
Calls
Call 1
Inputs
(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 6) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3/2)) (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 6)) (/.f64 1 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 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simplify708.0ms (3.4%)

Algorithm
egg-herbie
Rules
1632×associate-*r*
1352×associate-*l*
846×+-commutative
820×associate--l+
756×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0140656147
1504655681
Stop Event
node limit
Counts
279 → 518
Calls
Call 1
Inputs
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 beta (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha))))) (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) alpha) (+.f64 2 alpha)))))))))
(+.f64 1 (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) alpha) (+.f64 2 alpha))) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) alpha) (+.f64 2 alpha))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha)) (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha))))))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha))))) (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) alpha) (+.f64 2 alpha))))))))))
2
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (*.f64 -2 (/.f64 alpha beta)))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 6 (/.f64 1 beta)) (/.f64 alpha beta))))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 2)))))))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (*.f64 6 (/.f64 1 beta)))))
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2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -1 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta)))
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(+.f64 1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))
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(/.f64 (-.f64 (+.f64 beta (*.f64 2 (-.f64 beta (*.f64 -1 (+.f64 beta 2))))) (*.f64 -1 (+.f64 beta 2))) alpha)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))))))) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (-.f64 beta (*.f64 -1 (+.f64 beta 2)))) (pow.f64 alpha 3)))))))))) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 4)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 alpha 4))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (-.f64 beta (*.f64 -1 (+.f64 beta 2)))) (pow.f64 alpha 3))))))))))))))) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)))
(*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 2 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (+.f64 beta 2)) alpha))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 2 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (+.f64 beta 2))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (*.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (+.f64 beta 2))))) (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 2 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2))) (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2))))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 3) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -1 beta) (*.f64 2 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (-.f64 (*.f64 -1 beta) (+.f64 beta 2))) (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (+.f64 beta 2))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (*.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (+.f64 beta 2))))) (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 alpha 4)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2))) (+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (*.f64 -2 (*.f64 (pow.f64 (+.f64 beta 2) 3) (-.f64 (*.f64 -1 beta) (+.f64 beta 2)))))) (pow.f64 alpha 4))) (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2)) (*.f64 (pow.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) 2) (+.f64 beta 2))))) (pow.f64 alpha 4)))))))))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
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(/.f64 (+.f64 2 (*.f64 2 alpha)) beta)
(-.f64 (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 2 (/.f64 1 beta)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))) (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta))
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(-.f64 1 (/.f64 beta (+.f64 beta 2)))
(-.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))
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2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)))
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2
(+.f64 2 (*.f64 -1 (/.f64 (-.f64 (+.f64 beta 2) (*.f64 -1 beta)) alpha)))
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(*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3)))
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1
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1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -1 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (*.f64 -1 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)))) beta)) (*.f64 2 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2))))))))
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(/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))
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-1
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2
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(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))) 2) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))))
(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 1)
(*.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)))
(*.f64 (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (/.f64 1 (+.f64 -1 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)))))
(*.f64 (/.f64 1 (hypot.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))) (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (hypot.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) 2)) (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 4) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 2))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) 1)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 6) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 3))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 4) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3/2)) 1) (/.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3/2)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3/2)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) 2)) (/.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3/2)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))) 2) (hypot.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))) (hypot.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) 2)) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 3) 1/3)
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 1)
(pow.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) -1)
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (+.f64 -1 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)))))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) 3) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))
Outputs
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 1 (neg.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 beta (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 beta (*.f64 3 (/.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha)))))))
(+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 3 (*.f64 (/.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha))) beta))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha))))) (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) alpha) (+.f64 2 alpha)))))))))
(+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)) (fma.f64 beta (*.f64 3 (/.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha)))) (*.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (/.f64 (+.f64 alpha 2) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (*.f64 -2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha)))))) (+.f64 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha))) (*.f64 -2 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (/.f64 (+.f64 alpha 2) alpha)))))))))
(+.f64 1 (+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) alpha) (+.f64 2 alpha))) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) alpha) (+.f64 2 alpha))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha)) (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha))))))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) alpha) (+.f64 2 alpha))))) (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 alpha 2)) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) 2) alpha) (+.f64 2 alpha))))))))))
(+.f64 1 (fma.f64 (pow.f64 beta 3) (fma.f64 -1 (/.f64 (fma.f64 -2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (+.f64 alpha 2) alpha)) (*.f64 2 (*.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))))) (/.f64 (+.f64 alpha 2) alpha)) (fma.f64 -2 (/.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) (*.f64 alpha (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)))))) (+.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 4))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha))) (*.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (*.f64 -2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha)))))))) (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 alpha 2) 3)) (fma.f64 beta (*.f64 3 (/.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha)))) (*.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (/.f64 (+.f64 alpha 2) (+.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (*.f64 -2 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (+.f64 alpha 2) alpha)))))) (+.f64 (/.f64 (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 alpha alpha))) (*.f64 -2 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2))) 2) (/.f64 (+.f64 alpha 2) alpha))))))))))
2
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (*.f64 -2 (/.f64 alpha beta)))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (*.f64 6 (/.f64 1 beta)) (/.f64 alpha beta))))
(-.f64 (fma.f64 -1 (/.f64 alpha beta) (+.f64 2 (*.f64 -2 (/.f64 alpha beta)))) (fma.f64 2 (/.f64 alpha beta) (+.f64 (/.f64 alpha beta) (/.f64 6 beta))))
(-.f64 (+.f64 2 (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 (*.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 2))) (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (-.f64 (*.f64 -2 alpha) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 2)))))))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (*.f64 6 (/.f64 1 beta)))))
(+.f64 2 (-.f64 (fma.f64 -1 (/.f64 alpha beta) (fma.f64 -2 (/.f64 alpha beta) (+.f64 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 beta beta)) (fma.f64 -1 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (fma.f64 -2 (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (+.f64 alpha 2))) (/.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 beta beta) (-.f64 (*.f64 alpha -2) (+.f64 4 (*.f64 alpha 2)))))))))) (fma.f64 2 (/.f64 alpha beta) (+.f64 (/.f64 alpha beta) (/.f64 6 beta)))))
(+.f64 (fma.f64 -1 (/.f64 alpha beta) (fma.f64 -2 (/.f64 alpha beta) (+.f64 (/.f64 (pow.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) 2) (*.f64 beta beta)) (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (fma.f64 -2 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (/.f64 (*.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) (-.f64 (*.f64 alpha -2) (+.f64 4 (*.f64 alpha 2)))) (*.f64 beta beta))))))) (-.f64 2 (fma.f64 2 (/.f64 alpha beta) (+.f64 (/.f64 alpha beta) (/.f64 6 beta)))))
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2
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(/.f64 (-.f64 (+.f64 beta (*.f64 2 (-.f64 beta (*.f64 -1 (+.f64 beta 2))))) (*.f64 -1 (+.f64 beta 2))) alpha)
(/.f64 (+.f64 beta (-.f64 (*.f64 2 (-.f64 beta (+.f64 (neg.f64 beta) -2))) (+.f64 (neg.f64 beta) -2))) alpha)
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(-.f64 (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (*.f64 alpha alpha)) (fma.f64 -2 (/.f64 (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2) (*.f64 alpha alpha)) (+.f64 (fma.f64 2 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) (/.f64 beta alpha)) (/.f64 (*.f64 (+.f64 (neg.f64 beta) -2) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (*.f64 alpha alpha))))) (/.f64 (+.f64 (neg.f64 beta) -2) alpha))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2))) (*.f64 -2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (+.f64 beta 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (-.f64 beta (*.f64 -1 (+.f64 beta 2)))) (pow.f64 alpha 3)))))))))) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (*.f64 alpha alpha)) (+.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (*.f64 -2 (+.f64 (*.f64 (+.f64 2 beta) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (+.f64 (neg.f64 beta) -2))))) (pow.f64 alpha 3)) (fma.f64 -2 (/.f64 (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (fma.f64 2 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) (+.f64 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (fma.f64 2 (/.f64 (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta))) (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (/.f64 (pow.f64 alpha 3) (-.f64 beta (+.f64 (neg.f64 beta) -2)))))))))))) (/.f64 (+.f64 (neg.f64 beta) -2) alpha))
(+.f64 (neg.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (*.f64 alpha alpha))) (+.f64 (+.f64 (/.f64 (*.f64 2 (+.f64 (*.f64 (+.f64 2 beta) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (-.f64 beta (+.f64 (neg.f64 beta) -2))))) (pow.f64 alpha 3)) (fma.f64 -2 (/.f64 (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (fma.f64 2 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) (+.f64 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))) (fma.f64 2 (/.f64 (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta))) (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (/.f64 (pow.f64 alpha 3) (-.f64 beta (+.f64 (neg.f64 beta) -2)))))))))) (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha)))
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2
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2
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(+.f64 2 (neg.f64 (/.f64 (+.f64 beta (-.f64 2 (neg.f64 beta))) alpha)))
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1
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1
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(/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))
(/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))
(+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) alpha))
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(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (+.f64 beta 2))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) alpha)))
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(fma.f64 (+.f64 (/.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 (+.f64 2 beta) 2))))) (+.f64 2 beta)) (fma.f64 2 (/.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) (*.f64 alpha alpha) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (*.f64 (/.f64 (*.f64 beta (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (pow.f64 (+.f64 2 beta) 2)) (*.f64 -3 alpha))))
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 beta (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (+.f64 beta 2))) (*.f64 -2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 2))))) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -2 (/.f64 (*.f64 beta (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 3)) (+.f64 (*.f64 (+.f64 (/.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 (*.f64 beta (pow.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) 2)) (+.f64 beta 2))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (*.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (+.f64 beta 2) 2)))) alpha))))
(fma.f64 (+.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (*.f64 -2 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (+.f64 2 beta)) (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))))))) (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (/.f64 (*.f64 2 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 -1 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (*.f64 -2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))))))) (pow.f64 alpha 3) (fma.f64 (+.f64 (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (/.f64 (*.f64 2 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (pow.f64 (+.f64 2 beta) 2))))) (fma.f64 2 (/.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) (*.f64 alpha alpha) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (*.f64 alpha (*.f64 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) -3)))))
(fma.f64 (+.f64 (/.f64 (*.f64 (*.f64 beta -2) (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (+.f64 2 beta)) (/.f64 beta (/.f64 (+.f64 2 beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))))) (+.f64 2 beta)) (fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 (+.f64 2 beta) 2))))) (fma.f64 -1 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))) (*.f64 -2 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))))))) (pow.f64 alpha 3) (fma.f64 (+.f64 (/.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 2 (/.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (pow.f64 (+.f64 2 beta) 2))))) (+.f64 2 beta)) (fma.f64 2 (/.f64 beta (/.f64 (+.f64 2 beta) (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 2 beta) 3) (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))))) (*.f64 alpha alpha) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (*.f64 (/.f64 (*.f64 beta (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))))) (pow.f64 (+.f64 2 beta) 2)) (*.f64 -3 alpha)))))
-1
(-.f64 (+.f64 (*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
(-.f64 (fma.f64 2 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) (/.f64 beta alpha)) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1))
(+.f64 (*.f64 2 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha)) (-.f64 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) 1))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2))) (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2))) (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2)) (*.f64 alpha alpha)) (+.f64 (fma.f64 2 (/.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) alpha) (/.f64 beta alpha)) (fma.f64 -2 (/.f64 (pow.f64 (-.f64 beta (+.f64 (neg.f64 beta) -2)) 2) (*.f64 alpha alpha)) (/.f64 (neg.f64 (*.f64 (+.f64 2 beta) (-.f64 beta (+.f64 (neg.f64 beta) -2)))) (*.f64 alpha alpha))))) (fma.f64 -1 (/.f64 (+.f64 2 beta) alpha) 1))
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(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))
(*.f64 (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (/.f64 1 (+.f64 -1 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)))))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3)) 1) (-.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2)))
(*.f64 (-.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3)) (/.f64 1 (+.f64 -1 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2)))))
(*.f64 (/.f64 1 (hypot.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))) (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (hypot.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))))
(*.f64 (/.f64 1 (hypot.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))) (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3)) (hypot.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) 2)) (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) 2)) (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) 2)) (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3)) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 4) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 2))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) 1)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3)) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 2))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) -1)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 6) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 3))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 4) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 6) (pow.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 3))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3/2)) 1) (/.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3/2)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))))
(/.f64 (pow.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3/2)) 2) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))
(/.f64 (pow.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3/2)) 2) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3/2)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) 2)) (/.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3/2)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3/2)) (/.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3/2)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) 2))
(/.f64 (*.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3/2)) (/.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3/2)) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))) 2) (hypot.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))) (hypot.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3))) 2) (hypot.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3))) (hypot.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3))) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) 2)) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3))) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) (pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) 2))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) 2)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) 3)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 3) 1/3)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(pow.f64 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) -1)
(/.f64 1 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (+.f64 -1 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3))) (-.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3))) (+.f64 -1 (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2))))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 2))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 3))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) 3) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3)) 3) (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3)) 3) (pow.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) 3)))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))) 1))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))

localize87.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1) (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))))
0.1b
(*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))
0.1b
(pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)
2.1b
(-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1)
Compiler

Compiled 265 to 158 computations (40.4% saved)

series30.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
6.0ms
beta
@0
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1) (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))))
5.0ms
alpha
@-inf
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1) (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))))
3.0ms
alpha
@-inf
(-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1)
3.0ms
alpha
@inf
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1) (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))))
2.0ms
alpha
@inf
(-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1)

rewrite130.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
414×+-commutative
410×add-sqr-sqrt
400×*-un-lft-identity
398×pow1
382×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016178
1392106
26137106
Stop Event
node limit
Counts
4 → 159
Calls
Call 1
Inputs
(-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1)
(pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)
(*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1) (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))))
Outputs
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(hypot.f64 1 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) (/.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1)) (*.f64 (hypot.f64 1 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1)) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)))) 2)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 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(+.f64 (+.f64 beta alpha) 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) -1)))))

simplify221.0ms (1.1%)

Algorithm
egg-herbie
Rules
1452×associate-*r*
1196×+-commutative
1174×associate-*l*
910×associate-/r*
790×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
095030827
1327229243
Stop Event
node limit
Counts
255 → 437
Calls
Call 1
Inputs
-1
(-.f64 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 5)) (pow.f64 (+.f64 beta 2) 6))) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 5)) (pow.f64 (+.f64 beta 2) 6))) (+.f64 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (*.f64 -1 (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 (+.f64 beta 2) 8)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 2) 6))) (*.f64 -4 (/.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 (+.f64 beta 2) 8))))) (pow.f64 alpha 6))))) 1)
(*.f64 -1 (/.f64 (+.f64 8 (*.f64 4 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 8 (*.f64 4 beta)) alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 8 (*.f64 4 beta)) 2)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 8 (*.f64 4 beta)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 8 (*.f64 4 beta)) 2)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 8 (*.f64 4 beta)) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 8 (*.f64 4 beta)) 2)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (+.f64 8 (*.f64 4 beta)))))) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 8 (*.f64 4 beta)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 8 (*.f64 4 beta)) 2)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 8 (*.f64 4 beta)) 2)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (+.f64 (*.f64 -2 (*.f64 (+.f64 8 (*.f64 4 beta)) (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 8 (*.f64 4 beta)) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 8 (*.f64 4 beta)) 2)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (+.f64 8 (*.f64 4 beta)))))) (+.f64 8 (*.f64 4 beta))))))) (pow.f64 alpha 4))) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 8 (*.f64 4 beta)) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 8 (*.f64 4 beta)) 2)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (+.f64 8 (*.f64 4 beta)))))) (pow.f64 alpha 3))))))
(*.f64 -4 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 4 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -16 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (*.f64 -4 (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 4 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -16 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (+.f64 (*.f64 4 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 4 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 -4 (/.f64 (+.f64 beta 2) alpha)) (*.f64 4 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 4 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -16 (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 3)))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 4 (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 4 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -16 (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (*.f64 -16 (pow.f64 (+.f64 beta 2) 4)) (*.f64 4 (*.f64 (+.f64 (*.f64 -4 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 4 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 4 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2))) (*.f64 4 (*.f64 (+.f64 beta 2) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 4 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -16 (pow.f64 (+.f64 beta 2) 2)))))))) (+.f64 beta 2)))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 4 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -16 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (+.f64 (*.f64 4 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 4 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 -4 (/.f64 (+.f64 beta 2) alpha)) (*.f64 4 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 4 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -16 (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 3))))))))
(-.f64 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 alpha) 4)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (pow.f64 alpha 4) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 6)))) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (pow.f64 (+.f64 2 alpha) 8))) (/.f64 (*.f64 (pow.f64 alpha 4) (+.f64 (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2) (*.f64 2 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 2 alpha) 8))))) (+.f64 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (pow.f64 alpha 4) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 6))))) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (pow.f64 (+.f64 2 alpha) 8))) (/.f64 (*.f64 (pow.f64 alpha 4) (+.f64 (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2) (*.f64 2 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 2 alpha) 8))))) (+.f64 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (*.f64 -2 (/.f64 (*.f64 beta (*.f64 (pow.f64 alpha 4) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 6))) (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 4 (*.f64 2 alpha)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (pow.f64 (+.f64 2 alpha) 8))) (/.f64 (*.f64 (pow.f64 alpha 4) (+.f64 (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2) (*.f64 2 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 2 alpha) 8)))) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (*.f64 (+.f64 8 (*.f64 4 alpha)) (pow.f64 alpha 4)) (pow.f64 (+.f64 2 alpha) 8)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 alpha 4) (*.f64 (+.f64 (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2) (*.f64 2 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 10)))))))))) 1)
-1
(-.f64 (/.f64 (pow.f64 alpha 4) (pow.f64 beta 4)) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 4) (pow.f64 beta 4)) (*.f64 -1 (/.f64 (*.f64 (+.f64 8 (*.f64 4 alpha)) (pow.f64 alpha 4)) (pow.f64 beta 5)))) 1)
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 4) (pow.f64 beta 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 8 (*.f64 4 alpha)) (pow.f64 alpha 4)) (pow.f64 beta 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 8 (*.f64 4 alpha)) 2) (pow.f64 alpha 4))) (*.f64 (pow.f64 alpha 4) (+.f64 (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2) (*.f64 2 (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 6))))) 1)
-1
(-.f64 (/.f64 (pow.f64 alpha 4) (pow.f64 beta 4)) 1)
(-.f64 (+.f64 (*.f64 -4 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 4)) (pow.f64 beta 5))) (/.f64 (pow.f64 alpha 4) (pow.f64 beta 4))) 1)
(-.f64 (+.f64 (*.f64 -4 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 4)) (pow.f64 beta 5))) (+.f64 (/.f64 (pow.f64 alpha 4) (pow.f64 beta 4)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 4 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 alpha 4)) (*.f64 -16 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 4)))) (pow.f64 beta 6))))) 1)
(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -4 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5))) (+.f64 (*.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))))
1
(+.f64 1 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)))
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 1 (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) alpha)))
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(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 2))
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(/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))
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(/.f64 (pow.f64 alpha 2) (pow.f64 beta 2))
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(/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))
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1
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1
(+.f64 1 (*.f64 -4 (/.f64 (+.f64 beta 2) alpha)))
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(/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 alpha) 4))
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(/.f64 (pow.f64 alpha 4) (pow.f64 beta 4))
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(/.f64 (pow.f64 alpha 4) (pow.f64 beta 4))
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-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
(*.f64 -1/4 (/.f64 (+.f64 8 (*.f64 4 beta)) alpha))
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(*.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1)) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1)) (exp.f64 (neg.f64 (+.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) (log1p.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))))))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1) 2)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1)))
(*.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1)) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))))
(*.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))) (/.f64 1 (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) (neg.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))))))
(*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1) 1)
(*.f64 (exp.f64 (neg.f64 (+.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) (log1p.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)))))) (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1))
(*.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) -1))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))) (*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1)))
(*.f64 (/.f64 1 (*.f64 (hypot.f64 1 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1) (*.f64 (hypot.f64 1 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)))) 2)) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1) (cbrt.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))))))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1)) (-.f64 1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)))) (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 6))) (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) -1)))
(*.f64 (+.f64 1 (sqrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)))) (-.f64 (sqrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) 1))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1) (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) -1) (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1)) 1) (/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1)) (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1)) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)) (/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1)) (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)) (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) -1) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) (*.f64 (hypot.f64 1 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) -1) (*.f64 (hypot.f64 1 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)))) 2)) (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) -1) (cbrt.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))) (/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1)) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)))) 2)) (/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1)) (cbrt.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1)) 2) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)) (/.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1)) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1)) 2) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))) (/.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1)) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1)) 2) (*.f64 (hypot.f64 1 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) (/.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1)) (*.f64 (hypot.f64 1 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1)) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)))) 2)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1)))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1) 3) 1/3)
(pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1) 1)
(pow.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1)) -1)
(neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1) (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) (neg.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1) 3) (pow.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))) 3)))
(expm1.f64 (log.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))))
(exp.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1)))
(fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)
(fma.f64 1 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1)
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) -1)
Outputs
-1
(-.f64 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) 1)
(+.f64 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) -1)
(+.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 5)) (pow.f64 (+.f64 beta 2) 6))) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) 1)
(+.f64 (fma.f64 -2 (/.f64 (+.f64 4 (*.f64 beta 2)) (/.f64 (pow.f64 (+.f64 beta 2) 6) (pow.f64 alpha 5))) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) -1)
(+.f64 -1 (fma.f64 -2 (/.f64 (*.f64 (+.f64 beta 2) (*.f64 2 (pow.f64 alpha 5))) (pow.f64 (+.f64 beta 2) 6)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 5)) (pow.f64 (+.f64 beta 2) 6))) (+.f64 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (*.f64 -1 (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 (+.f64 beta 2) 8)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 2) 6))) (*.f64 -4 (/.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 (+.f64 beta 2) 8))))) (pow.f64 alpha 6))))) 1)
(+.f64 (+.f64 (fma.f64 -2 (/.f64 (+.f64 4 (*.f64 beta 2)) (/.f64 (pow.f64 (+.f64 beta 2) 6) (pow.f64 alpha 5))) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (neg.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 4 (*.f64 beta 2)) 2) (pow.f64 (+.f64 beta 2) 8)) (+.f64 (/.f64 2 (pow.f64 (+.f64 beta 2) 6)) (*.f64 (/.f64 (pow.f64 (+.f64 4 (*.f64 beta 2)) 2) (pow.f64 (+.f64 beta 2) 8)) -4))) (pow.f64 alpha 6)))) -1)
(+.f64 -1 (+.f64 (fma.f64 -2 (/.f64 (*.f64 (+.f64 beta 2) (*.f64 2 (pow.f64 alpha 5))) (pow.f64 (+.f64 beta 2) 6)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 4 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 8)) (+.f64 (/.f64 2 (pow.f64 (+.f64 beta 2) 6)) (*.f64 (/.f64 (*.f64 4 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 8)) -4))) (pow.f64 alpha 6)))))
(*.f64 -1 (/.f64 (+.f64 8 (*.f64 4 beta)) alpha))
(neg.f64 (/.f64 (+.f64 8 (*.f64 4 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 8 (*.f64 4 beta)) alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 8 (*.f64 4 beta)) 2)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (pow.f64 alpha 2))))
(*.f64 -1 (+.f64 (/.f64 (+.f64 8 (*.f64 4 beta)) alpha) (/.f64 (fma.f64 2 (pow.f64 (+.f64 beta 2) 2) (fma.f64 -1 (pow.f64 (+.f64 8 (*.f64 4 beta)) 2) (pow.f64 (+.f64 4 (*.f64 beta 2)) 2))) (*.f64 alpha alpha))))
(fma.f64 -1 (/.f64 (+.f64 8 (*.f64 4 beta)) alpha) (neg.f64 (/.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 8 (*.f64 4 beta)) 2)) (*.f64 6 (pow.f64 (+.f64 beta 2) 2))) (*.f64 alpha alpha))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 8 (*.f64 4 beta)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 8 (*.f64 4 beta)) 2)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 8 (*.f64 4 beta)) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 8 (*.f64 4 beta)) 2)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (+.f64 8 (*.f64 4 beta)))))) (pow.f64 alpha 3)))))
(fma.f64 -1 (/.f64 (+.f64 8 (*.f64 4 beta)) alpha) (*.f64 -1 (+.f64 (/.f64 (fma.f64 2 (*.f64 (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 -1 (*.f64 (+.f64 8 (*.f64 4 beta)) (fma.f64 2 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 4 (*.f64 beta 2)) 2))) (neg.f64 (*.f64 (+.f64 8 (*.f64 4 beta)) (fma.f64 2 (pow.f64 (+.f64 beta 2) 2) (fma.f64 -1 (pow.f64 (+.f64 8 (*.f64 4 beta)) 2) (pow.f64 (+.f64 4 (*.f64 beta 2)) 2))))))) (pow.f64 alpha 3)) (/.f64 (fma.f64 2 (pow.f64 (+.f64 beta 2) 2) (fma.f64 -1 (pow.f64 (+.f64 8 (*.f64 4 beta)) 2) (pow.f64 (+.f64 4 (*.f64 beta 2)) 2))) (*.f64 alpha alpha)))))
(fma.f64 -1 (/.f64 (+.f64 8 (*.f64 4 beta)) alpha) (*.f64 -1 (+.f64 (/.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 8 (*.f64 4 beta)) 2)) (*.f64 6 (pow.f64 (+.f64 beta 2) 2))) (*.f64 alpha alpha)) (/.f64 (fma.f64 2 (*.f64 2 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (+.f64 (*.f64 4 (*.f64 (pow.f64 (+.f64 beta 2) 3) 6)) (*.f64 (+.f64 8 (*.f64 4 beta)) (+.f64 (neg.f64 (pow.f64 (+.f64 8 (*.f64 4 beta)) 2)) (*.f64 6 (pow.f64 (+.f64 beta 2) 2))))))) (pow.f64 alpha 3)))))
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(/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))
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1
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1
(+.f64 1 (*.f64 -4 (/.f64 (+.f64 beta 2) alpha)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1)) 2) (*.f64 (hypot.f64 1 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) (/.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1)) (*.f64 (hypot.f64 1 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))))
(*.f64 (/.f64 1 (*.f64 (hypot.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 4)) (*.f64 (hypot.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 4)) (*.f64 (hypot.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (*.f64 (hypot.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1)) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)))) 2)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1)))
(*.f64 (cbrt.f64 (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 4))) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)))) 2)))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1)) 2)
(+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1)) 3)
(+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1) 3) 1/3)
(+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1) 1)
(+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (/.f64 1 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1)) -1)
(/.f64 1 (/.f64 1 (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))
(neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1) (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) (neg.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))))))
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 4)) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))))))
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 4)) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1) 2))
(sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1)))
(+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1))))
(+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1) 3))
(+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1) 3) (pow.f64 (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 4)) 3) (pow.f64 (*.f64 (+.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2))) 3)))
(expm1.f64 (log.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))))
(expm1.f64 (log.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1)))
(+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1)) 1))
(+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1)))
(+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)
(+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(fma.f64 1 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1)
(+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) -1)
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) 2) (cbrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) -1)

eval3.2s (15.2%)

Compiler

Compiled 141370 to 97360 computations (31.1% saved)

prune867.0ms (4.2%)

Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New189591904
Fresh71118
Picked101
Done347
Total1906241930
Error
0.0b
Counts
1930 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
18.4b
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) 1) 2)
34.1b
(/.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3) 2)
57.2b
(/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) 3) 1/3) 2)
34.5b
(/.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))) 1/3) 2)
43.2b
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
19.2b
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 6)) (*.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)))))) 2)
18.2b
(/.f64 (/.f64 (+.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (*.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) (-.f64 beta alpha)) (/.f64 (+.f64 (+.f64 beta alpha) 2) (-.f64 beta alpha))))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) 2)
58.5b
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2)
45.9b
(/.f64 (/.f64 2 alpha) 2)
18.4b
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2)
17.7b
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) 1) (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))))) 2)
17.7b
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)) 2)
45.7b
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) 2)
22.2b
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)))) 2)
34.1b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
18.2b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
19.5b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
18.2b
(/.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3)) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))) (+.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 1)) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) 2)
58.5b
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
43.9b
(+.f64 1 (/.f64 (neg.f64 alpha) beta))
45.4b
(+.f64 1 (/.f64 -1 beta))
44.7b
(*.f64 1/2 (+.f64 (/.f64 (*.f64 (+.f64 beta 1) 2) alpha) (/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta))) (*.f64 alpha alpha))))
45.3b
(*.f64 1/2 (+.f64 (/.f64 (*.f64 (+.f64 beta 1) 2) alpha) (+.f64 (/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta))) (*.f64 alpha alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3)))))
41.0b
1
Compiler

Compiled 1369 to 923 computations (32.6% saved)

localize144.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha)))
0.1b
(pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)
0.1b
(/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))
2.1b
(-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) 1)
Compiler

Compiled 317 to 178 computations (43.8% saved)

series9.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite102.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1372×distribute-rgt-in
1326×distribute-lft-in
318×add-sqr-sqrt
308×*-un-lft-identity
306×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014137
133581
2461181
Stop Event
node limit
Counts
3 → 134
Calls
Call 1
Inputs
(-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) 1)
(/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))
(*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) 1)) (sqrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) 1)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) 1)) 2) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) 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simplify154.0ms (0.7%)

Algorithm
egg-herbie
Rules
1238×associate-*r*
998×associate-*l*
982×*-commutative
940×distribute-lft-in
860×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070118896
1232516432
Stop Event
node limit
Counts
206 → 383
Calls
Call 1
Inputs
-1
(-.f64 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 5)) (pow.f64 (+.f64 beta 2) 6))) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) 1)
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 5)) (pow.f64 (+.f64 beta 2) 6))) (+.f64 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (*.f64 -1 (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 (+.f64 beta 2) 8)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 2) 6))) (*.f64 -4 (/.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 (+.f64 beta 2) 8))))) (pow.f64 alpha 6))))) 1)
(*.f64 -1 (/.f64 (+.f64 8 (*.f64 4 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 8 (*.f64 4 beta)) alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 8 (*.f64 4 beta)) 2)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 8 (*.f64 4 beta)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 8 (*.f64 4 beta)) 2)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 8 (*.f64 4 beta)) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 8 (*.f64 4 beta)) 2)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (+.f64 8 (*.f64 4 beta)))))) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 8 (*.f64 4 beta)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 8 (*.f64 4 beta)) 2)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 8 (*.f64 4 beta)) 2)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (+.f64 (*.f64 -2 (*.f64 (+.f64 8 (*.f64 4 beta)) (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 8 (*.f64 4 beta)) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 8 (*.f64 4 beta)) 2)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (+.f64 8 (*.f64 4 beta)))))) (+.f64 8 (*.f64 4 beta))))))) (pow.f64 alpha 4))) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 8 (*.f64 4 beta)) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 8 (*.f64 4 beta)) 2)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (+.f64 8 (*.f64 4 beta)))))) (pow.f64 alpha 3))))))
(*.f64 -4 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 4 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -16 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (*.f64 -4 (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 4 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -16 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (+.f64 (*.f64 4 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 4 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 -4 (/.f64 (+.f64 beta 2) alpha)) (*.f64 4 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 4 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -16 (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 3)))))))
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1
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1
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(/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))
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1
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1
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(/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 2 alpha) 4))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) 2) 1) (/.f64 (cbrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha)))
(*.f64 (/.f64 (sqrt.f64 alpha) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha)) (/.f64 (sqrt.f64 alpha) (+.f64 (+.f64 beta alpha) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha)) (/.f64 (cbrt.f64 alpha) (+.f64 (+.f64 beta alpha) 2)))
(*.f64 (/.f64 alpha (sqrt.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) (/.f64 (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) (sqrt.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))))
(*.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha)) 2)) (/.f64 (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) (cbrt.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha)) 2)) (/.f64 (sqrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) (cbrt.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) 2) (+.f64 (+.f64 beta alpha) 2)) (/.f64 (cbrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) (/.f64 1 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) 2) (sqrt.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) (/.f64 (cbrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) (sqrt.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha)) 2)) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) 2))
(pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) 1)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 4) 1/2)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) 3) 1/3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha) 2) -1)
(neg.f64 (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (-.f64 -2 (+.f64 beta alpha)) alpha)))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 4))
(fabs.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 3) (pow.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)))
(exp.f64 (log.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)))
(+.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) 0)
(+.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) -1))
(+.f64 (+.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) -1) 1)
(+.f64 0 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))))
(+.f64 (+.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) 1) -1)
(-.f64 (+.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) 1) 1)
(-.f64 (+.f64 1 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) 2) (+.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) 1))) (/.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) 1)))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) 3) (+.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) (+.f64 1 (pow.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) 2))))) (/.f64 1 (+.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) (+.f64 1 (pow.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) 2)))))
(/.f64 alpha (*.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2) alpha) (pow.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha) 2)))
(/.f64 alpha (*.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha) 2) (/.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2) alpha)))
(/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (pow.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha) 3))
(/.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha) 2))
(/.f64 1 (*.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha) 2) (pow.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha) 2)))
(/.f64 1 (/.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 3)))
(/.f64 (*.f64 alpha alpha) (*.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2) alpha) (/.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2) alpha)))
(/.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 3) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))
(/.f64 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 beta alpha) 2)) (*.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha) 2) (/.f64 (-.f64 -2 (+.f64 beta alpha)) alpha)))
(/.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 beta alpha) 2)) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 beta alpha) 2))) (*.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) alpha) (/.f64 (-.f64 -2 (+.f64 beta alpha)) alpha)))
(/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) alpha) (/.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2) alpha))
(/.f64 (*.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) alpha) (*.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha) (/.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2) alpha)))
(/.f64 (*.f64 alpha (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) (*.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2) alpha) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha)))
(/.f64 (*.f64 alpha (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) (/.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2) alpha))
(/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 beta alpha) 2))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) alpha))
(/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 3) 1) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))
(/.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 beta alpha) 2)) (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) (*.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) alpha) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha)))
(/.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 beta alpha) 2)) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) (/.f64 (-.f64 -2 (+.f64 beta alpha)) alpha))
(/.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 3) (+.f64 (+.f64 beta alpha) 2)) (/.f64 1 alpha))
(/.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 3) 1) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))
(/.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 3) (sqrt.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) (sqrt.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha)))
(/.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 3) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha)))
(/.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 beta alpha) 2)) alpha) (*.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) alpha) (/.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2) alpha)))
(/.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 (+.f64 beta alpha) 2)) 1) (*.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) alpha) (pow.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha) 2)))
(/.f64 (*.f64 alpha (/.f64 (neg.f64 alpha) (+.f64 (+.f64 beta alpha) 2))) (*.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2) alpha) (/.f64 (-.f64 -2 (+.f64 beta alpha)) alpha)))
(/.f64 (*.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (neg.f64 alpha) (+.f64 (+.f64 beta alpha) 2))) (*.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha) (/.f64 (-.f64 -2 (+.f64 beta alpha)) alpha)))
(/.f64 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 3)) (/.f64 (-.f64 -2 (+.f64 beta alpha)) alpha))
(pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 4)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) 2)
(pow.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha)))))
Outputs
-1
(-.f64 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) 1)
(+.f64 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) -1)
(+.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 5)) (pow.f64 (+.f64 beta 2) 6))) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) 1)
(+.f64 (fma.f64 -2 (/.f64 (+.f64 4 (*.f64 beta 2)) (/.f64 (pow.f64 (+.f64 beta 2) 6) (pow.f64 alpha 5))) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) -1)
(+.f64 -1 (fma.f64 -2 (*.f64 (/.f64 (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 6)) (pow.f64 alpha 5)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 5)) (pow.f64 (+.f64 beta 2) 6))) (+.f64 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (*.f64 -1 (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 (+.f64 beta 2) 8)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 2) 6))) (*.f64 -4 (/.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 (+.f64 beta 2) 8))))) (pow.f64 alpha 6))))) 1)
(+.f64 (+.f64 (fma.f64 -2 (/.f64 (+.f64 4 (*.f64 beta 2)) (/.f64 (pow.f64 (+.f64 beta 2) 6) (pow.f64 alpha 5))) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (neg.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 4 (*.f64 beta 2)) 2) (pow.f64 (+.f64 beta 2) 8)) (+.f64 (/.f64 2 (pow.f64 (+.f64 beta 2) 6)) (*.f64 (/.f64 (pow.f64 (+.f64 4 (*.f64 beta 2)) 2) (pow.f64 (+.f64 beta 2) 8)) -4))) (pow.f64 alpha 6)))) -1)
(+.f64 -1 (+.f64 (fma.f64 -2 (*.f64 (/.f64 (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 6)) (pow.f64 alpha 5)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (neg.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 4 (*.f64 beta 2)) 2) (pow.f64 (+.f64 beta 2) 8)) (+.f64 (/.f64 2 (pow.f64 (+.f64 beta 2) 6)) (/.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 8) (pow.f64 (+.f64 4 (*.f64 beta 2)) 2))))) (pow.f64 alpha 6)))))
(*.f64 -1 (/.f64 (+.f64 8 (*.f64 4 beta)) alpha))
(neg.f64 (/.f64 (+.f64 8 (*.f64 4 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 8 (*.f64 4 beta)) alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 8 (*.f64 4 beta)) 2)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (+.f64 8 (*.f64 4 beta)) alpha) (neg.f64 (/.f64 (fma.f64 2 (pow.f64 (+.f64 beta 2) 2) (fma.f64 -1 (pow.f64 (+.f64 8 (*.f64 4 beta)) 2) (pow.f64 (+.f64 4 (*.f64 beta 2)) 2))) (*.f64 alpha alpha))))
(*.f64 -1 (+.f64 (/.f64 (+.f64 8 (*.f64 4 beta)) alpha) (/.f64 (fma.f64 2 (pow.f64 (+.f64 beta 2) 2) (fma.f64 -1 (pow.f64 (+.f64 8 (*.f64 4 beta)) 2) (pow.f64 (+.f64 4 (*.f64 beta 2)) 2))) (*.f64 alpha alpha))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 8 (*.f64 4 beta)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 8 (*.f64 4 beta)) 2)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 8 (*.f64 4 beta)) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (pow.f64 (+.f64 8 (*.f64 4 beta)) 2)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (+.f64 8 (*.f64 4 beta)))))) (pow.f64 alpha 3)))))
(fma.f64 -1 (/.f64 (+.f64 8 (*.f64 4 beta)) alpha) (*.f64 -1 (+.f64 (/.f64 (fma.f64 2 (pow.f64 (+.f64 beta 2) 2) (fma.f64 -1 (pow.f64 (+.f64 8 (*.f64 4 beta)) 2) (pow.f64 (+.f64 4 (*.f64 beta 2)) 2))) (*.f64 alpha alpha)) (/.f64 (fma.f64 2 (*.f64 (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (+.f64 (*.f64 (+.f64 8 (*.f64 4 beta)) (fma.f64 2 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 4 (*.f64 beta 2)) 2))) (*.f64 (+.f64 8 (*.f64 4 beta)) (fma.f64 2 (pow.f64 (+.f64 beta 2) 2) (fma.f64 -1 (pow.f64 (+.f64 8 (*.f64 4 beta)) 2) (pow.f64 (+.f64 4 (*.f64 beta 2)) 2))))))) (pow.f64 alpha 3)))))
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1
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1
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(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha)))) 3)
(*.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) (+.f64 beta (+.f64 alpha 2))) alpha)
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) 3) 1/3)
(*.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) (+.f64 beta (+.f64 alpha 2))) alpha)
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) (+.f64 beta (+.f64 alpha 2))) alpha) 2))
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha)))))
(*.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) (+.f64 beta (+.f64 alpha 2))) alpha)
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))))))
(*.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) (+.f64 beta (+.f64 alpha 2))) alpha)
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4)
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) 3))
(*.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) (+.f64 beta (+.f64 alpha 2))) alpha)
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4)
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha)))))
(*.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) (+.f64 beta (+.f64 alpha 2))) alpha)
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4)
(exp.f64 (log.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha)))))
(*.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) (+.f64 beta (+.f64 alpha 2))) alpha)
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4)
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha)))) 1))
(*.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) (+.f64 beta (+.f64 alpha 2))) alpha)
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4)
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha)))))
(*.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) (+.f64 beta (+.f64 alpha 2))) alpha)
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4)

localize5.0ms (0%)

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite62.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
118019
2243119
Stop Event
node limit
Counts
1 → 33
Calls
Call 1
Inputs
(+.f64 (/.f64 beta (+.f64 beta 2)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1)))))

simplify63.0ms (0.3%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
01081525
12651491
28141341
341571339
Stop Event
node limit
Counts
45 → 60
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 1/2 beta))
(+.f64 1 (+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) 1)
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(*.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))
(*.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))
(/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1)
(fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1)
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1)
Outputs
1
(+.f64 1 (*.f64 1/2 beta))
(fma.f64 1/2 beta 1)
(+.f64 1 (+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2))))
(+.f64 1 (fma.f64 1/2 beta (*.f64 -1/4 (*.f64 beta beta))))
(+.f64 1 (fma.f64 1/2 beta (*.f64 beta (*.f64 beta -1/4))))
(fma.f64 1/2 beta (fma.f64 beta (*.f64 beta -1/4) 1))
(+.f64 1 (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))))
(+.f64 1 (fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3)))))
(+.f64 1 (fma.f64 1/2 beta (*.f64 (*.f64 beta beta) (+.f64 (*.f64 beta 1/8) -1/4))))
(+.f64 1 (*.f64 beta (+.f64 1/2 (*.f64 beta (+.f64 -1/4 (*.f64 beta 1/8))))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)))
(+.f64 (/.f64 4 (*.f64 beta beta)) (-.f64 2 (/.f64 2 beta)))
(+.f64 2 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)))
(+.f64 (+.f64 2 (/.f64 -2 beta)) (/.f64 4 (*.f64 beta beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (/.f64 8 (pow.f64 beta 3))) (/.f64 2 beta))
(+.f64 (-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (/.f64 8 (pow.f64 beta 3))) (/.f64 -2 beta))
(+.f64 2 (+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 (/.f64 -2 beta) (/.f64 -8 (pow.f64 beta 3)))))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 2 (/.f64 -2 beta))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)))
(+.f64 (/.f64 4 (*.f64 beta beta)) (-.f64 2 (/.f64 2 beta)))
(+.f64 2 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 -2 beta)))
(+.f64 (+.f64 2 (/.f64 -2 beta)) (/.f64 4 (*.f64 beta beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (/.f64 8 (pow.f64 beta 3))) (/.f64 2 beta))
(+.f64 (-.f64 (+.f64 2 (/.f64 4 (*.f64 beta beta))) (/.f64 8 (pow.f64 beta 3))) (/.f64 -2 beta))
(+.f64 2 (+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 (/.f64 -2 beta) (/.f64 -8 (pow.f64 beta 3)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))
(*.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) 1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))))
(/.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)))
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) 1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) 1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) 1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(+.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) 1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))))
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) 2)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 3)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3) 1/3)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))) 1))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 (+.f64 beta alpha) 2))
0.0b
(/.f64 beta (+.f64 (+.f64 beta alpha) 2))
0.0b
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2)
18.4b
(fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)
Compiler

Compiled 77 to 43 computations (44.2% saved)

series6.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite92.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1656×associate-/r*
1272×associate-/l*
354×add-sqr-sqrt
340×pow1
340×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015103
134499
2476699
Stop Event
node limit
Counts
3 → 77
Calls
Call 1
Inputs
(fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2)
(/.f64 1 (+.f64 (+.f64 beta alpha) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 0 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) (sqrt.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) (pow.f64 (cbrt.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2) (cbrt.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) 1) (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 3)) (+.f64 (*.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) (-.f64 1 (*.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 0 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 1/2) (neg.f64 (/.f64 (-.f64 1 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (-.f64 1 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) -2)) (*.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 1/2) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha 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2)) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (+.f64 beta alpha) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 (+.f64 beta alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (+.f64 (+.f64 beta alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) -1/2) (pow.f64 (+.f64 (+.f64 beta alpha) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 beta alpha) 2)) -1) (pow.f64 (sqrt.f64 (+.f64 (+.f64 beta alpha) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 beta alpha) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 (+.f64 beta alpha) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (+.f64 beta alpha) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (+.f64 beta alpha) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 (+.f64 beta alpha) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 beta alpha) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (+.f64 beta alpha) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (+.f64 beta alpha) 2))))))))

simplify113.0ms (0.5%)

Algorithm
egg-herbie
Rules
1156×associate-*r/
1020×associate-+r+
976×+-commutative
920×associate-+l+
868×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04097735
111617331
246147301
Stop Event
node limit
Counts
149 → 295
Calls
Call 1
Inputs
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) 1)
-1
(-.f64 (/.f64 alpha beta) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1)
-1
(-.f64 (/.f64 alpha beta) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1)
(*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (*.f64 1/2 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))
(+.f64 (*.f64 1/2 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha))))))
(+.f64 (*.f64 1/2 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 1/2 (*.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 -1/2 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/2 (-.f64 1 (/.f64 alpha (+.f64 2 alpha)))))))
1
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 2))) (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))))
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 2))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))))))
1
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) 1)
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 1 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 2)))))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) beta)) (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 2 alpha) alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 2))) (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha)) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))))))
(*.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2))))
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (*.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (*.f64 1/2 (*.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 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 1/2 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (*.f64 1/2 (*.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 1/2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))))))
(*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2)))))
(+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))))))
(/.f64 1 (+.f64 2 alpha))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (+.f64 2 alpha)))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))
(/.f64 1 (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 4))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha))))
(+.f64 -1 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)))
(+.f64 -1 (*.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1))
(+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1)
(+.f64 (*.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) -1)
(-.f64 (exp.f64 (log.f64 (+.f64 0 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))))) 1)
(*.f64 1 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1))
(*.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1) 1)
(*.f64 (sqrt.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) (sqrt.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)))
(*.f64 (cbrt.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) (pow.f64 (cbrt.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2) (cbrt.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)))
(/.f64 (-.f64 (*.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) 1) (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 3)) (+.f64 (*.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) (-.f64 1 (*.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1))))
(pow.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1) 1)
(pow.f64 (sqrt.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2)
(pow.f64 (cbrt.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 3)
(pow.f64 (pow.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1) 2))
(log.f64 (exp.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1))))
(cbrt.f64 (pow.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1) 3))
(expm1.f64 (log.f64 (+.f64 0 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)))))
(exp.f64 (log.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 1))
(log1p.f64 (expm1.f64 (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)))
(+.f64 (*.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 1/2) (neg.f64 (/.f64 (-.f64 1 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) -2)))
(+.f64 (neg.f64 (/.f64 (-.f64 1 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) -2)) (*.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 1/2))
(-.f64 (*.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 1/2) (/.f64 (-.f64 1 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) -2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2))) 1)
(*.f64 1 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2))
(*.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 1/2)
(*.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2)) (sqrt.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2)))
(*.f64 (sqrt.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1))) (*.f64 (sqrt.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1))) 1/2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2)) 2) (cbrt.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1))) 2) (*.f64 (cbrt.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1))) 1/2))
(*.f64 1/2 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)))
(*.f64 (neg.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1))) -1/2)
(pow.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2) 3) 1/3)
(pow.f64 (/.f64 2 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1))) -1)
(neg.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) -2))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2) 1/4))
(log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2)))
(exp.f64 (log.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (+.f64 beta alpha) 2)))) 1)
(*.f64 1 (/.f64 1 (+.f64 (+.f64 beta alpha) 2)))
(*.f64 (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) 1)
(*.f64 -1 (/.f64 -1 (+.f64 (+.f64 beta alpha) 2)))
(*.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) -1/2) (pow.f64 (+.f64 (+.f64 beta alpha) 2) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2))) (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2)))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) 2))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 beta alpha) 2)) -1) (pow.f64 (sqrt.f64 (+.f64 (+.f64 beta alpha) 2)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2)) -1))
(pow.f64 (+.f64 (+.f64 beta alpha) 2) -1)
(pow.f64 (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) 1)
(pow.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (+.f64 beta alpha) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (+.f64 beta alpha) 2)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (+.f64 beta alpha) 2))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (+.f64 beta alpha) 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 beta alpha) 2)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (+.f64 beta alpha) 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (+.f64 beta alpha) 2))))
Outputs
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(+.f64 (/.f64 alpha (+.f64 beta 2)) -1)
(+.f64 -1 (/.f64 alpha (+.f64 beta 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) -1)
(+.f64 -1 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) -1)
(+.f64 -1 (+.f64 (-.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 (neg.f64 beta) -2) alpha)
(/.f64 (fma.f64 -1 beta -2) alpha)
(/.f64 (-.f64 -2 beta) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
(-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (/.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3)))
(-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (+.f64 beta 2) alpha)))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 (neg.f64 beta) -2) alpha)
(/.f64 (fma.f64 -1 beta -2) alpha)
(/.f64 (-.f64 -2 beta) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
(-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (/.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3)))
(-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))
(+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 (+.f64 beta 2) alpha)) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (+.f64 beta 2) alpha)))
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
(+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)
(+.f64 -1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) 1)
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (neg.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))) 1))
(+.f64 -1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) alpha)))
(+.f64 -1 (-.f64 (/.f64 alpha (+.f64 alpha 2)) (*.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))))
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) 1)
(+.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3))) (neg.f64 (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha)))) -1)
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3)) (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) alpha))))
(+.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha 2))) (-.f64 (/.f64 (*.f64 alpha beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) beta)) (*.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)))))
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) 1)
(+.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 -1 (+.f64 (/.f64 (pow.f64 beta 3) (/.f64 (pow.f64 (+.f64 alpha 2) 4) alpha)) (/.f64 beta (/.f64 (pow.f64 (+.f64 alpha 2) 2) alpha))))) -1)
(+.f64 -1 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (-.f64 (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (pow.f64 beta 3) (/.f64 (pow.f64 (+.f64 alpha 2) 4) alpha))) (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) alpha))))
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 -1 (-.f64 (/.f64 (*.f64 alpha beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) beta)) (+.f64 (*.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)))))))
-1
(-.f64 (/.f64 alpha beta) 1)
(+.f64 (/.f64 alpha beta) -1)
(+.f64 -1 (/.f64 alpha beta))
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1)
(+.f64 (/.f64 alpha beta) (-.f64 (/.f64 (neg.f64 (*.f64 alpha (+.f64 alpha 2))) (*.f64 beta beta)) 1))
(+.f64 -1 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))))
(+.f64 (/.f64 alpha beta) (+.f64 -1 (/.f64 (*.f64 (-.f64 -2 alpha) (/.f64 alpha beta)) beta)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1)
(+.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) (/.f64 alpha beta)) (/.f64 (neg.f64 (*.f64 alpha (+.f64 alpha 2))) (*.f64 beta beta))) -1)
(+.f64 -1 (+.f64 (-.f64 (/.f64 alpha beta) (*.f64 (/.f64 alpha beta) (/.f64 (+.f64 alpha 2) beta))) (/.f64 (*.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3))))
(+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) (+.f64 -1 (/.f64 (*.f64 (-.f64 -2 alpha) (/.f64 alpha beta)) beta))))
-1
(-.f64 (/.f64 alpha beta) 1)
(+.f64 (/.f64 alpha beta) -1)
(+.f64 -1 (/.f64 alpha beta))
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(/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 alpha (+.f64 beta -2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 (+.f64 alpha beta) -2))
(/.f64 (+.f64 alpha (+.f64 beta -2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) 2))))
(/.f64 (*.f64 1 (-.f64 (+.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (*.f64 2 (+.f64 alpha beta)))) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))
(/.f64 (+.f64 4 (*.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) 2))) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))
(/.f64 (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 alpha (-.f64 beta 2)))) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 beta alpha) 2)) -1) (pow.f64 (sqrt.f64 (+.f64 (+.f64 beta alpha) 2)) -1))
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -2)
(pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2)) -1))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (+.f64 (+.f64 beta alpha) 2) -1)
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) 1)
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) -1/2) 2)
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2))) 3)
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) 3) 1/3)
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2))
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (+.f64 beta alpha) 2))))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (+.f64 beta alpha) 2)))))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) 3))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (+.f64 beta alpha) 2))))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(exp.f64 (neg.f64 (log.f64 (+.f64 (+.f64 beta alpha) 2))))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 beta alpha) 2)) -1))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (+.f64 beta alpha) 2))) 1))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (+.f64 beta alpha) 2))))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))

localize81.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))
3.5b
(/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3))
4.1b
(/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta))) (*.f64 alpha alpha))
12.0b
(+.f64 (/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta))) (*.f64 alpha alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3)))
Compiler

Compiled 214 to 146 computations (31.8% saved)

series8.0ms (0%)

Counts
4 → 84
Calls

21 calls:

TimeVariablePointExpression
1.0ms
alpha
@0
(+.f64 (/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta))) (*.f64 alpha alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3)))
1.0ms
beta
@0
(+.f64 (/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta))) (*.f64 alpha alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3)))
1.0ms
beta
@-inf
(+.f64 (/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta))) (*.f64 alpha alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3)))
1.0ms
alpha
@inf
(+.f64 (/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta))) (*.f64 alpha alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3)))
0.0ms
beta
@inf
(+.f64 (/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta))) (*.f64 alpha alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3)))

rewrite138.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
550×associate-+r+
494×+-commutative
458×add-sqr-sqrt
444×*-un-lft-identity
440×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019204
1468192
27550192
Stop Event
node limit
Counts
4 → 207
Calls
Call 1
Inputs
(+.f64 (/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta))) (*.f64 alpha alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3)))
(/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta))) (*.f64 alpha alpha))
(/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3))
(*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3)) (/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta))) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta))) (*.f64 alpha alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta)) 2) (pow.f64 alpha 4)) (-.f64 (/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta))) (*.f64 alpha alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3)))) (/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2) (pow.f64 (+.f64 beta 2) 4)) (pow.f64 alpha 6)) (-.f64 (/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta))) (*.f64 alpha alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta))) (*.f64 alpha alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta))) (*.f64 alpha alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (/.f64 (+.f64 beta 2) (sqrt.f64 (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 beta 2))))) (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta))) alpha)) (hypot.f64 (/.f64 (+.f64 beta 2) (sqrt.f64 (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 beta 2))))) (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta))) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta))) (*.f64 alpha alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta))) (*.f64 alpha alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta))) (*.f64 alpha alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3)))) 2) (cbrt.f64 (+.f64 (/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta))) (*.f64 alpha alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta)) 2) (pow.f64 alpha 4)) (/.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2) (pow.f64 (+.f64 beta 2) 4)) (pow.f64 alpha 6))) (/.f64 1 (-.f64 (/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta))) (*.f64 alpha alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta)) 3) (pow.f64 alpha 6)) (pow.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3)) 3)) (/.f64 1 (+.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2) (pow.f64 (+.f64 beta 2) 4)) (pow.f64 alpha 6)) (/.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta)) 2) (pow.f64 alpha 4))) (/.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta)) (pow.f64 alpha 3) (*.f64 (*.f64 alpha alpha) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))))) (/.f64 1 (pow.f64 alpha 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta))) (*.f64 alpha alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3))) (-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta)) 2) (pow.f64 alpha 4)) (/.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2) (pow.f64 (+.f64 beta 2) 4)) (pow.f64 alpha 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2) (pow.f64 (+.f64 beta 2) 4)) (pow.f64 alpha 6)) (/.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta)) 2) (pow.f64 alpha 4))) (/.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 5))) (+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta)) 3) (pow.f64 alpha 6)) (pow.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 alpha 5) (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta)) (pow.f64 alpha 3) (*.f64 (*.f64 alpha alpha) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta)) 2) (pow.f64 alpha 4)) (/.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2) (pow.f64 (+.f64 beta 2) 4)) (pow.f64 alpha 6))) (-.f64 (/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta))) (*.f64 alpha alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta)) 3) (pow.f64 alpha 6)) (pow.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3)) 3)) (+.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2) (pow.f64 (+.f64 beta 2) 4)) (pow.f64 alpha 6)) (/.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta)) 2) (pow.f64 alpha 4))) (/.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta)) 3) (pow.f64 alpha 6)) (pow.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3)) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2) (pow.f64 (+.f64 beta 2) 4)) (pow.f64 alpha 6)) (-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta)) 2) (pow.f64 alpha 4)) (/.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta)) (pow.f64 alpha 3) (*.f64 (*.f64 alpha alpha) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))))) (pow.f64 alpha 5))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta)) (pow.f64 alpha 3) (*.f64 (*.f64 alpha alpha) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))))) (*.f64 alpha alpha)) (pow.f64 alpha 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2) (pow.f64 (+.f64 beta 2) 4)) (pow.f64 alpha 6)) (/.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta)) 2) (pow.f64 alpha 4))) (+.f64 (/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta))) (*.f64 alpha alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta)) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 beta 2))))) (*.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 alpha alpha) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta)) (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))))) (*.f64 (*.f64 alpha alpha) (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 alpha alpha) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (neg.f64 (+.f64 beta beta)) -2))) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta)) (neg.f64 (pow.f64 alpha 3)))) 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(pow.f64 (pow.f64 (+.f64 beta 2) 3) 3)) (+.f64 (*.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (pow.f64 (+.f64 beta 2) 2))) (-.f64 (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3) (*.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 beta 2) (sqrt.f64 (+.f64 beta (+.f64 beta 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2) (pow.f64 (+.f64 beta 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3) (pow.f64 (+.f64 beta (+.f64 beta 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 3) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 beta 2) 2) beta (pow.f64 (+.f64 beta 2) 3))))))

simplify148.0ms (0.7%)

Algorithm
egg-herbie
Rules
1128×associate-*r*
986×associate-*l*
900×associate-/r*
734×associate-/l*
700×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062820179
1185619189
Stop Event
node limit
Counts
291 → 399
Calls
Call 1
Inputs
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 beta (-.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 3))) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (*.f64 beta (-.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 3))) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 10 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (*.f64 beta (-.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 3))) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 10 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 10 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (*.f64 beta (-.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 3))) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 10 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (*.f64 beta (-.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 3))) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 10 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 10 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 16 (/.f64 1 (pow.f64 alpha 3)))))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 10 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 16 (/.f64 1 (pow.f64 alpha 3)))))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 10 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(+.f64 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(+.f64 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(/.f64 -4 (pow.f64 alpha 2))
(-.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(/.f64 8 (pow.f64 alpha 3))
(+.f64 (*.f64 16 (/.f64 beta (pow.f64 alpha 3))) (*.f64 8 (/.f64 1 (pow.f64 alpha 3))))
(+.f64 (*.f64 16 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (*.f64 10 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))) (*.f64 8 (/.f64 1 (pow.f64 alpha 3)))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (*.f64 16 (/.f64 beta (pow.f64 alpha 3))) (+.f64 (*.f64 10 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))) (*.f64 8 (/.f64 1 (pow.f64 alpha 3))))))
(*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 10 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (*.f64 16 (/.f64 beta (pow.f64 alpha 3))) (*.f64 10 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (*.f64 16 (/.f64 beta (pow.f64 alpha 3))) (*.f64 10 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))))))
(*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 10 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (*.f64 16 (/.f64 beta (pow.f64 alpha 3))) (*.f64 10 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3)))))
(+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (*.f64 16 (/.f64 beta (pow.f64 alpha 3))) (*.f64 10 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 3))))))
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))
8
(+.f64 8 (*.f64 16 beta))
(+.f64 (*.f64 10 (pow.f64 beta 2)) (+.f64 8 (*.f64 16 beta)))
(+.f64 (*.f64 2 (pow.f64 beta 3)) (+.f64 (*.f64 10 (pow.f64 beta 2)) (+.f64 8 (*.f64 16 beta))))
(*.f64 2 (pow.f64 beta 3))
(+.f64 (*.f64 10 (pow.f64 beta 2)) (*.f64 2 (pow.f64 beta 3)))
(+.f64 (*.f64 10 (pow.f64 beta 2)) (+.f64 (*.f64 2 (pow.f64 beta 3)) (*.f64 16 beta)))
(+.f64 (*.f64 10 (pow.f64 beta 2)) (+.f64 8 (+.f64 (*.f64 2 (pow.f64 beta 3)) (*.f64 16 beta))))
(*.f64 2 (pow.f64 beta 3))
(+.f64 (*.f64 10 (pow.f64 beta 2)) (*.f64 2 (pow.f64 beta 3)))
(+.f64 (*.f64 10 (pow.f64 beta 2)) (+.f64 (*.f64 2 (pow.f64 beta 3)) (*.f64 16 beta)))
(+.f64 (*.f64 10 (pow.f64 beta 2)) (+.f64 8 (+.f64 (*.f64 2 (pow.f64 beta 3)) (*.f64 16 beta))))
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(expm1.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3))))
(exp.f64 (log.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3))))
(+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3))
(+.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta beta)) (*.f64 (pow.f64 (+.f64 beta 2) 2) 2))
(+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) 2) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta beta)))
(+.f64 (*.f64 (+.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (*.f64 2 (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (*.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) 1) (*.f64 (pow.f64 (+.f64 beta 2) 3) 1))
(+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 3) 1) (*.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) 1))
(+.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 2) 2) 2))
(+.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 2 (pow.f64 (+.f64 beta 2) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))))) 1)
(/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (-.f64 beta (+.f64 beta 2)))
(/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta beta))) (+.f64 beta (-.f64 2 beta)))
(/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3))) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 beta)))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 beta (+.f64 beta 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta beta)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (-.f64 2 beta)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 beta)))))
(/.f64 (-.f64 (*.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3)) (-.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)))
(/.f64 (+.f64 (pow.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) 3) (pow.f64 (pow.f64 (+.f64 beta 2) 3) 3)) (+.f64 (*.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (pow.f64 (+.f64 beta 2) 2))) (-.f64 (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3) (*.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)))))
(pow.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) 1)
(pow.f64 (*.f64 (+.f64 beta 2) (sqrt.f64 (+.f64 beta (+.f64 beta 2)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2) (pow.f64 (+.f64 beta 2) 4)))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3) (pow.f64 (+.f64 beta (+.f64 beta 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 3) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))))
(fma.f64 beta (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 3))
(fma.f64 (pow.f64 (+.f64 beta 2) 2) beta (pow.f64 (+.f64 beta 2) 3))
Outputs
(-.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 beta (-.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 3))) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (*.f64 beta (-.f64 (/.f64 16 (pow.f64 alpha 3)) (/.f64 6 (*.f64 alpha alpha)))) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (*.f64 beta (+.f64 (/.f64 16 (pow.f64 alpha 3)) (/.f64 -6 (*.f64 alpha alpha)))) (/.f64 -4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (*.f64 beta (-.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 3))) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 10 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (fma.f64 beta (-.f64 (/.f64 16 (pow.f64 alpha 3)) (/.f64 6 (*.f64 alpha alpha))) (*.f64 (*.f64 beta beta) (-.f64 (/.f64 10 (pow.f64 alpha 3)) (/.f64 2 (*.f64 alpha alpha))))) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (fma.f64 beta (+.f64 (/.f64 16 (pow.f64 alpha 3)) (/.f64 -6 (*.f64 alpha alpha))) (*.f64 beta (*.f64 beta (+.f64 (/.f64 10 (pow.f64 alpha 3)) (/.f64 -2 (*.f64 alpha alpha)))))) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (*.f64 beta (-.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 3))) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 10 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (fma.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 beta (-.f64 (/.f64 16 (pow.f64 alpha 3)) (/.f64 6 (*.f64 alpha alpha))) (*.f64 (*.f64 beta beta) (-.f64 (/.f64 10 (pow.f64 alpha 3)) (/.f64 2 (*.f64 alpha alpha))))))) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (fma.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 beta (+.f64 (/.f64 16 (pow.f64 alpha 3)) (/.f64 -6 (*.f64 alpha alpha))) (*.f64 beta (*.f64 beta (+.f64 (/.f64 10 (pow.f64 alpha 3)) (/.f64 -2 (*.f64 alpha alpha))))))) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha))))
(*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(/.f64 (pow.f64 beta 3) (/.f64 (pow.f64 alpha 3) 2))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 10 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))))
(fma.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 (*.f64 beta beta) (-.f64 (/.f64 10 (pow.f64 alpha 3)) (/.f64 2 (*.f64 alpha alpha)))))
(fma.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 beta (*.f64 beta (+.f64 (/.f64 10 (pow.f64 alpha 3)) (/.f64 -2 (*.f64 alpha alpha))))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (*.f64 beta (-.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 3))) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 10 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))
(fma.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 beta (-.f64 (/.f64 16 (pow.f64 alpha 3)) (/.f64 6 (*.f64 alpha alpha))) (*.f64 (*.f64 beta beta) (-.f64 (/.f64 10 (pow.f64 alpha 3)) (/.f64 2 (*.f64 alpha alpha))))))
(fma.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 beta (+.f64 (/.f64 16 (pow.f64 alpha 3)) (/.f64 -6 (*.f64 alpha alpha))) (*.f64 beta (*.f64 beta (+.f64 (/.f64 10 (pow.f64 alpha 3)) (/.f64 -2 (*.f64 alpha alpha)))))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (*.f64 beta (-.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 3))) (*.f64 6 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 10 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (fma.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 beta (-.f64 (/.f64 16 (pow.f64 alpha 3)) (/.f64 6 (*.f64 alpha alpha))) (*.f64 (*.f64 beta beta) (-.f64 (/.f64 10 (pow.f64 alpha 3)) (/.f64 2 (*.f64 alpha alpha))))))) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (fma.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 beta (+.f64 (/.f64 16 (pow.f64 alpha 3)) (/.f64 -6 (*.f64 alpha alpha))) (*.f64 beta (*.f64 beta (+.f64 (/.f64 10 (pow.f64 alpha 3)) (/.f64 -2 (*.f64 alpha alpha))))))) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha))))
(*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(/.f64 (pow.f64 beta 3) (/.f64 (pow.f64 alpha 3) 2))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 10 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))))
(fma.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 (*.f64 beta beta) (-.f64 (/.f64 10 (pow.f64 alpha 3)) (/.f64 2 (*.f64 alpha alpha)))))
(fma.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 beta (*.f64 beta (+.f64 (/.f64 10 (pow.f64 alpha 3)) (/.f64 -2 (*.f64 alpha alpha))))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 16 (/.f64 1 (pow.f64 alpha 3)))))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 10 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))
(fma.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 -1 (*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 3)))) (*.f64 (*.f64 beta beta) (-.f64 (/.f64 10 (pow.f64 alpha 3)) (/.f64 2 (*.f64 alpha alpha))))))
(fma.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 -1 (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -16 (pow.f64 alpha 3)))) (*.f64 beta (*.f64 beta (+.f64 (/.f64 10 (pow.f64 alpha 3)) (/.f64 -2 (*.f64 alpha alpha)))))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 16 (/.f64 1 (pow.f64 alpha 3)))))) (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 10 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (fma.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 -1 (*.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 16 (pow.f64 alpha 3)))) (*.f64 (*.f64 beta beta) (-.f64 (/.f64 10 (pow.f64 alpha 3)) (/.f64 2 (*.f64 alpha alpha)))))) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (fma.f64 2 (/.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 -1 (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -16 (pow.f64 alpha 3)))) (*.f64 beta (*.f64 beta (+.f64 (/.f64 10 (pow.f64 alpha 3)) (/.f64 -2 (*.f64 alpha alpha))))))) (/.f64 -4 (*.f64 alpha alpha))))
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 2 beta))))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))
(fma.f64 -1 (/.f64 (+.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 2 beta)))))
(+.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3))) (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (/.f64 (-.f64 -2 beta) alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))
(fma.f64 -1 (/.f64 (+.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 2 beta)))))
(+.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3))) (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (/.f64 (-.f64 -2 beta) alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))
(fma.f64 -1 (/.f64 (+.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 2 beta)))))
(+.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3))) (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (/.f64 (-.f64 -2 beta) alpha)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(neg.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))))
(*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (/.f64 (-.f64 -2 beta) alpha))
(+.f64 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (+.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 2 beta)))))
(+.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3))) (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (/.f64 (-.f64 -2 beta) alpha)))
(+.f64 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (+.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 2 beta)))))
(+.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3))) (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (/.f64 (-.f64 -2 beta) alpha)))
(+.f64 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (+.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 2 beta)))))
(+.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3))) (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (/.f64 (-.f64 -2 beta) alpha)))
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)))
(neg.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))))
(*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (/.f64 (-.f64 -2 beta) alpha))
(+.f64 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (+.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 2 beta)))))
(+.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3))) (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (/.f64 (-.f64 -2 beta) alpha)))
(+.f64 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (+.f64 beta (+.f64 2 beta)) (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 2 beta)))))
(+.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3))) (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (/.f64 (-.f64 -2 beta) alpha)))
(+.f64 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))))
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8
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(*.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3/2)) (/.f64 (+.f64 beta (+.f64 beta 2)) (pow.f64 alpha 3/2)))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 2 beta))))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3)))
(*.f64 (/.f64 (*.f64 (+.f64 beta 2) (sqrt.f64 (+.f64 beta (+.f64 beta 2)))) alpha) (/.f64 (*.f64 (+.f64 beta 2) (sqrt.f64 (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha alpha)))
(/.f64 (*.f64 (/.f64 (+.f64 2 beta) (/.f64 (*.f64 alpha alpha) (sqrt.f64 (+.f64 beta (+.f64 2 beta))))) (*.f64 (+.f64 2 beta) (sqrt.f64 (+.f64 beta (+.f64 2 beta))))) alpha)
(/.f64 (pow.f64 (*.f64 (+.f64 2 beta) (sqrt.f64 (+.f64 beta (+.f64 2 beta)))) 2) (pow.f64 alpha 3))
(*.f64 (/.f64 (*.f64 (+.f64 beta 2) (sqrt.f64 (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha alpha)) (/.f64 (*.f64 (+.f64 beta 2) (sqrt.f64 (+.f64 beta (+.f64 beta 2)))) alpha))
(/.f64 (*.f64 (/.f64 (+.f64 2 beta) (/.f64 (*.f64 alpha alpha) (sqrt.f64 (+.f64 beta (+.f64 2 beta))))) (*.f64 (+.f64 2 beta) (sqrt.f64 (+.f64 beta (+.f64 2 beta))))) alpha)
(/.f64 (pow.f64 (*.f64 (+.f64 2 beta) (sqrt.f64 (+.f64 beta (+.f64 2 beta)))) 2) (pow.f64 alpha 3))
(*.f64 (/.f64 (*.f64 (+.f64 beta 2) (sqrt.f64 (+.f64 beta (+.f64 beta 2)))) 1) (/.f64 (*.f64 (+.f64 beta 2) (sqrt.f64 (+.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3)))
(/.f64 (*.f64 (/.f64 (+.f64 2 beta) (/.f64 (*.f64 alpha alpha) (sqrt.f64 (+.f64 beta (+.f64 2 beta))))) (*.f64 (+.f64 2 beta) (sqrt.f64 (+.f64 beta (+.f64 2 beta))))) alpha)
(/.f64 (pow.f64 (*.f64 (+.f64 2 beta) (sqrt.f64 (+.f64 beta (+.f64 2 beta)))) 2) (pow.f64 alpha 3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))) 2) alpha) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha alpha)))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 2 beta))))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))) 2) (*.f64 alpha alpha)) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))) alpha))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 2 beta))))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3)))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 2 beta))))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))) 2) (pow.f64 alpha 3/2)) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3/2)))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 2 beta))))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3)))
(pow.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3)) 1)
(/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 2 beta))))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3)))
(pow.f64 (/.f64 (+.f64 beta 2) (sqrt.f64 (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 beta 2))))) 2)
(pow.f64 (/.f64 (+.f64 2 beta) (sqrt.f64 (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 2 beta))))) 2)
(pow.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))) alpha) 3)
(/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 2 beta))))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3)))
(pow.f64 (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))) -1)
(/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 2 beta))))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3)))
(pow.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3)) 3) 1/3)
(/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 2 beta))))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3)))
(neg.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (neg.f64 (pow.f64 alpha 3))))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 (+.f64 -2 (neg.f64 (+.f64 beta beta))) (/.f64 1 (neg.f64 (pow.f64 alpha 3)))))
(/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 -2 (*.f64 beta -2))) (neg.f64 (pow.f64 alpha 3)))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2) (pow.f64 (+.f64 beta 2) 4)) (pow.f64 alpha 6)))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 2 beta) 4))))
(sqrt.f64 (*.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) (pow.f64 alpha 6)) (pow.f64 (+.f64 2 beta) 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha -3)))
(*.f64 (pow.f64 alpha -3) (*.f64 (pow.f64 (+.f64 2 beta) 2) (log.f64 (exp.f64 (+.f64 beta (+.f64 2 beta))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3)))))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 2 beta))))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3)) 3))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 2 beta))))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3))))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 2 beta))))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3)))
(exp.f64 (log.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3))))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 2 beta))))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3))) 1))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 2 beta))))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3))))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 2 beta))))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 beta (+.f64 2 beta)) (pow.f64 alpha 3)))
(+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))
(+.f64 (pow.f64 (+.f64 beta 2) 3) (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))
(+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta beta)) (*.f64 (pow.f64 (+.f64 beta 2) 2) 2))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))
(+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) 2) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta beta)))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))
(+.f64 (*.f64 (+.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (*.f64 2 (pow.f64 (+.f64 beta 2) 2)))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))
(+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))
(+.f64 (*.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) 1) (*.f64 (pow.f64 (+.f64 beta 2) 3) 1))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))
(+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 3) 1) (*.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) 1))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))
(+.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 2) 2) 2))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))
(+.f64 (+.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 2 (pow.f64 (+.f64 beta 2) 2)))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))))) 1)
(*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))
(/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (-.f64 beta (+.f64 beta 2)))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (-.f64 beta (+.f64 2 beta)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))))
(*.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) -2) (*.f64 (+.f64 beta (+.f64 2 beta)) -2))
(/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta beta))) (+.f64 beta (-.f64 2 beta)))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 beta (-.f64 2 beta)) (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta beta))))
(*.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) 2) (*.f64 2 (+.f64 beta (+.f64 2 beta))))
(/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3))) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 beta)))))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (fma.f64 beta beta (*.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 beta)))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))))
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 beta beta (+.f64 4 (+.f64 beta beta)))) (pow.f64 (+.f64 2 beta) 2))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 beta (+.f64 beta 2)))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (-.f64 beta (+.f64 2 beta)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))))
(*.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) -2) (*.f64 (+.f64 beta (+.f64 2 beta)) -2))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta beta)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (-.f64 2 beta)))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (+.f64 beta (-.f64 2 beta)) (-.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta beta))))
(*.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) 2) (*.f64 2 (+.f64 beta (+.f64 2 beta))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 beta)))))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (/.f64 (fma.f64 beta beta (*.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 beta)))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))))
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 beta beta (+.f64 4 (+.f64 beta beta)))) (pow.f64 (+.f64 2 beta) 2))
(/.f64 (-.f64 (*.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3)) (-.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)))
(/.f64 (-.f64 (*.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 4)) (pow.f64 (pow.f64 (+.f64 2 beta) 2) 3)) (fma.f64 beta (pow.f64 (+.f64 2 beta) 2) (neg.f64 (pow.f64 (+.f64 2 beta) 3))))
(/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 4) (*.f64 (+.f64 beta (+.f64 2 beta)) -2)) (*.f64 (pow.f64 (+.f64 2 beta) 2) -2))
(/.f64 (+.f64 (pow.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) 3) (pow.f64 (pow.f64 (+.f64 beta 2) 3) 3)) (+.f64 (*.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (pow.f64 (+.f64 beta 2) 2))) (-.f64 (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3) (*.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 3)))))
(/.f64 (+.f64 (pow.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) 3) (pow.f64 (pow.f64 (+.f64 2 beta) 3) 3)) (+.f64 (*.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 4)) (-.f64 (pow.f64 (pow.f64 (+.f64 2 beta) 2) 3) (*.f64 beta (*.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 beta) 3))))))
(/.f64 (+.f64 (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 6)) (pow.f64 (pow.f64 (+.f64 2 beta) 3) 3)) (+.f64 (*.f64 beta (*.f64 (pow.f64 (+.f64 2 beta) 4) beta)) (-.f64 (pow.f64 (+.f64 2 beta) 6) (*.f64 (+.f64 2 beta) (*.f64 (pow.f64 (+.f64 2 beta) 4) beta)))))
(pow.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) 1)
(*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))
(pow.f64 (*.f64 (+.f64 beta 2) (sqrt.f64 (+.f64 beta (+.f64 beta 2)))) 2)
(pow.f64 (*.f64 (+.f64 2 beta) (sqrt.f64 (+.f64 beta (+.f64 2 beta)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))) 3)
(*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) 3) 1/3)
(*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2) (pow.f64 (+.f64 beta 2) 4)))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2) (pow.f64 (+.f64 2 beta) 4)))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (log.f64 (exp.f64 (+.f64 beta (+.f64 2 beta)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))))))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) 3))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3) (pow.f64 (+.f64 beta (+.f64 beta 2)) 3)))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 3) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3)))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))) 1))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2)))))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))
(fma.f64 beta (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 3))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))
(fma.f64 (pow.f64 (+.f64 beta 2) 2) beta (pow.f64 (+.f64 beta 2) 3))
(*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta (+.f64 2 beta)))

eval2.2s (10.4%)

Compiler

Compiled 79284 to 53990 computations (31.9% saved)

prune532.0ms (2.6%)

Pruning

26 alts after pruning (19 fresh and 7 done)

PrunedKeptTotal
New147091479
Fresh51015
Picked101
Done178
Total1477261503
Error
0.0b
Counts
1503 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
19.5b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1) 2)
57.2b
(/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) 3) 1/3) 2)
34.5b
(/.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))) 1/3) 2)
43.2b
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
19.2b
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 6)) (*.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)))))) 2)
18.2b
(/.f64 (/.f64 (+.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (*.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) (-.f64 beta alpha)) (/.f64 (+.f64 (+.f64 beta alpha) 2) (-.f64 beta alpha))))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) 2)
58.5b
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2)
45.9b
(/.f64 (/.f64 2 alpha) 2)
18.4b
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2)
17.7b
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) 1) (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))))))) 2)
17.7b
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (/.f64 (-.f64 (*.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) 1) (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1))) 2)
17.7b
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (/.f64 (log.f64 (exp.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) 1))) (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))))) 2)
17.7b
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)) 2)
45.7b
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (+.f64 beta 2) alpha)))) 2)
34.1b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
18.2b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
19.5b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
36.5b
(/.f64 (+.f64 1 (*.f64 1/2 beta)) 2)
18.2b
(/.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3)) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))) (+.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 1)) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) 2)
58.5b
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
34.2b
(/.f64 1 2)
43.9b
(+.f64 1 (/.f64 (neg.f64 alpha) beta))
45.4b
(+.f64 1 (/.f64 -1 beta))
43.5b
(*.f64 1/2 (+.f64 (/.f64 (*.f64 (+.f64 beta 1) 2) alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha)))))
44.0b
(*.f64 1/2 (+.f64 (/.f64 (*.f64 (+.f64 beta 1) 2) alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (/.f64 (-.f64 -2 beta) alpha))))
41.0b
1
Compiler

Compiled 775 to 517 computations (33.3% saved)

regimes802.0ms (3.9%)

Counts
55 → 2
Calls
Call 1
Inputs
1
(/.f64 1 2)
(/.f64 2 2)
(+.f64 1 (/.f64 -1 beta))
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(+.f64 1 (/.f64 (neg.f64 alpha) beta))
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 1 (*.f64 1/2 beta)) 2)
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
(/.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 beta (+.f64 (+.f64 beta alpha) 2)) (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)) 2)
(*.f64 1/2 (+.f64 (/.f64 (*.f64 (+.f64 beta 1) 2) alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (/.f64 (-.f64 -2 beta) alpha))))
(*.f64 1/2 (+.f64 (/.f64 (*.f64 (+.f64 beta 1) 2) alpha) (/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta))) (*.f64 alpha alpha))))
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (/.f64 (-.f64 (*.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) 1) (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1) 2)
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2)
(*.f64 1/2 (+.f64 (/.f64 (*.f64 (+.f64 beta 1) 2) alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha)))))
(*.f64 1/2 (+.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) (/.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2))) (*.f64 alpha alpha))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)))) 2)
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2)
(/.f64 (/.f64 (+.f64 1 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (*.f64 (/.f64 (+.f64 (+.f64 beta alpha) 2) (-.f64 beta alpha)) (/.f64 (+.f64 (+.f64 beta alpha) 2) (-.f64 beta alpha))))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) 1) (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) (+.f64 1 (*.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))))))) 2)
(/.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 3) 1/3) 2)
(/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 3) 1/3) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (log.f64 (exp.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))) 2)
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) 2)
(*.f64 1/2 (+.f64 (/.f64 (*.f64 (+.f64 beta 1) 2) alpha) (+.f64 (/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta))) (*.f64 alpha alpha)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha 3)))))
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) 1) (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))))) 2)
(/.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3)) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))) (+.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 1)) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) 2)
(/.f64 (pow.f64 (pow.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)))) 3) 1/3) 2)
(/.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))) 1/3) 2)
(/.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) -1) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))) 1/3) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2)) 1) (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))))) 2)
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)) 1) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2)))) 2)
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 6) -1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3) -1)) 2)
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) 2) (pow.f64 (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) 2)) 1/2) (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)) (*.f64 (+.f64 (+.f64 beta alpha) 2) (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) -1)))) (*.f64 (+.f64 (+.f64 beta alpha) 2) (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)))
(/.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 3)) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 4) (*.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))))) (+.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))) 2) 1) (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 alpha beta))))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (/.f64 (log.f64 (exp.f64 (-.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 (+.f64 beta alpha) 2) alpha))) 1))) (*.f64 (+.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1) (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 2))))) 2)
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 2) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 6)) (*.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 3)))))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (+.f64 beta 2) alpha)))) 2)
(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))) 2)
(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) 2)
(/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 4))) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) 3) 1/3) 2)
Outputs
(*.f64 1/2 (+.f64 (/.f64 (*.f64 (+.f64 beta 1) 2) alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha)))))
(/.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))) 1/3) 2)
Calls

5 calls:

613.0ms
beta
108.0ms
alpha
25.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
9.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
9.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
ErrorSegmentsBranch
3.7b2alpha
13.4b7beta
0.1b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.1b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.1b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 1793 to 1141 computations (36.4% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.999998737623655
-0.9999421352381669
Compiler

Compiled 20 to 15 computations (25% saved)

regimes349.0ms (1.7%)

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

5 calls:

159.0ms
beta
86.0ms
alpha
63.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
10.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
7.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
ErrorSegmentsBranch
3.7b2alpha
13.4b7beta
0.1b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.1b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.1b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 856 to 541 computations (36.8% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.999998737623655
-0.9999421352381669
Compiler

Compiled 20 to 15 computations (25% saved)

regimes267.0ms (1.3%)

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

5 calls:

127.0ms
beta
106.0ms
alpha
13.0ms
(/.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
3.7b2alpha
13.5b7beta
0.1b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.1b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.1b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 307 to 213 computations (30.6% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.999998737623655
-0.9999421352381669
Compiler

Compiled 20 to 15 computations (25% saved)

regimes295.0ms (1.4%)

Counts
22 → 2
Calls
Call 1
Inputs
1
(/.f64 1 2)
(/.f64 2 2)
(+.f64 1 (/.f64 -1 beta))
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(+.f64 1 (/.f64 (neg.f64 alpha) beta))
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 1 (*.f64 1/2 beta)) 2)
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta)))
(/.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 beta (+.f64 (+.f64 beta alpha) 2)) (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)) 2)
(*.f64 1/2 (+.f64 (/.f64 (*.f64 (+.f64 beta 1) 2) alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (/.f64 (-.f64 -2 beta) alpha))))
(*.f64 1/2 (+.f64 (/.f64 (*.f64 (+.f64 beta 1) 2) alpha) (/.f64 (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta 2) beta))) (*.f64 alpha alpha))))
(/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (/.f64 (-.f64 (*.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) (/.f64 alpha (+.f64 (+.f64 beta alpha) 2))) 1) (-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) -1))) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1) 2)
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) 1) 2)
Outputs
(*.f64 1/2 (+.f64 (/.f64 (*.f64 (+.f64 beta 1) 2) alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (/.f64 (-.f64 -2 beta) alpha))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Calls

5 calls:

155.0ms
beta
64.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
47.0ms
alpha
18.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
5.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
ErrorSegmentsBranch
3.7b2alpha
13.5b7beta
0.1b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.1b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.1b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 287 to 201 computations (30% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.999998737623655
-0.9999421352381669
Compiler

Compiled 20 to 15 computations (25% saved)

regimes98.0ms (0.5%)

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

5 calls:

45.0ms
beta
27.0ms
alpha
11.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
6.0ms
(+.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
3.7b2alpha
14.6b5beta
0.3b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.3b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.3b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 179 to 131 computations (26.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999977
-0.9999999908250559
Compiler

Compiled 20 to 15 computations (25% saved)

regimes67.0ms (0.3%)

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

2 calls:

41.0ms
beta
21.0ms
alpha
Results
ErrorSegmentsBranch
4.4b2alpha
16.0b5beta
Compiler

Compiled 95 to 76 computations (20% saved)

bsearch17.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
2.4481591233344877e+35
1.4802656665850555e+39
Results
15.0ms128×body256valid
Compiler

Compiled 212 to 175 computations (17.5% saved)

regimes73.0ms (0.4%)

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

2 calls:

49.0ms
beta
22.0ms
alpha
Results
ErrorSegmentsBranch
7.5b2alpha
16.0b5beta
Compiler

Compiled 75 to 60 computations (20% saved)

bsearch17.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
2.4481591233344877e+35
1.4802656665850555e+39
Results
15.0ms128×body256valid
Compiler

Compiled 180 to 151 computations (16.1% saved)

regimes72.0ms (0.3%)

Counts
10 → 8
Calls
Call 1
Inputs
1
(/.f64 1 2)
(/.f64 2 2)
(+.f64 1 (/.f64 -1 beta))
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(+.f64 1 (/.f64 (neg.f64 alpha) beta))
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 1 (*.f64 1/2 beta)) 2)
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2)
Outputs
(/.f64 (+.f64 1 (*.f64 1/2 beta)) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 1 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 1 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 1 2)
(+.f64 1 (/.f64 -1 beta))
Calls

2 calls:

47.0ms
beta
23.0ms
alpha
Results
ErrorSegmentsBranch
18.4b3alpha
15.6b8beta
Compiler

Compiled 57 to 46 computations (19.3% saved)

bsearch137.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
26.0ms
1.3553649013557838e-9
34.66296454109796
21.0ms
1.3668115290999415e-231
7.182628261639136e-230
22.0ms
3.8790112970119955e-277
8.822168481600435e-273
24.0ms
-1.9139298047416038e-258
-8.569971278041384e-265
14.0ms
-1.405270627691186e-221
-3.6669826093955316e-222
17.0ms
-3.915783483002608e-112
-8.248356046996702e-113
13.0ms
-5.970647523095984e-57
-2.3724548648981292e-57
Results
62.0ms563×body256valid
45.0ms154×body1024valid
12.0ms62×body512valid
7.0ms21×body2048valid
Compiler

Compiled 740 to 680 computations (8.1% saved)

regimes64.0ms (0.3%)

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

2 calls:

41.0ms
beta
21.0ms
alpha
Results
ErrorSegmentsBranch
18.4b3alpha
15.8b8beta
Compiler

Compiled 43 to 35 computations (18.6% saved)

bsearch136.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
28.0ms
1.3553649013557838e-9
34.66296454109796
18.0ms
1.3668115290999415e-231
7.182628261639136e-230
22.0ms
3.8790112970119955e-277
8.822168481600435e-273
25.0ms
-1.9139298047416038e-258
-8.569971278041384e-265
13.0ms
-1.405270627691186e-221
-3.6669826093955316e-222
18.0ms
-3.915783483002608e-112
-8.248356046996702e-113
12.0ms
-5.970647523095984e-57
-2.3724548648981292e-57
Results
65.0ms561×body256valid
39.0ms152×body1024valid
13.0ms66×body512valid
7.0ms21×body2048valid
Compiler

Compiled 720 to 665 computations (7.6% saved)

regimes20.0ms (0.1%)

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

2 calls:

9.0ms
alpha
9.0ms
beta
Results
ErrorSegmentsBranch
30.3b2alpha
20.4b2beta
Compiler

Compiled 25 to 22 computations (12% saved)

bsearch25.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
25.0ms
1.3553649013557838e-9
34.66296454109796
Results
12.0ms109×body256valid
8.0ms34×body1024valid
3.0ms17×body512valid
Compiler

Compiled 160 to 145 computations (9.4% saved)

regimes15.0ms (0.1%)

Accuracy

Total -34.0b remaining (-164.7%)

Threshold costs -34.0b (-164.7%)

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

2 calls:

8.0ms
beta
6.0ms
alpha
Results
ErrorSegmentsBranch
30.3b2alpha
20.6b2beta
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch30.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
30.0ms
1.3553649013557838e-9
34.66296454109796
Results
14.0ms117×body256valid
11.0ms32×body1024valid
2.0msbody512valid
1.0msbody2048valid
Compiler

Compiled 120 to 115 computations (4.2% saved)

simplify28.0ms (0.1%)

Algorithm
egg-herbie
Rules
44×+-commutative
22×*-commutative
16×sub-neg
neg-mul-1
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01254294968232
11594294968232
21744294968232
31824294968232
41864294968232
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9006748894778255/9007199254740992) (*.f64 1/2 (+.f64 (/.f64 (*.f64 (+.f64 beta 1) 2) alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha))))) (/.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))) 1/3) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9006748894778255/9007199254740992) (*.f64 1/2 (+.f64 (/.f64 (*.f64 (+.f64 beta 1) 2) alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha))))) (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9006748894778255/9007199254740992) (*.f64 1/2 (+.f64 (/.f64 (*.f64 (+.f64 beta 1) 2) alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (/.f64 (-.f64 -2 beta) alpha)))) (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9006748894778255/9007199254740992) (*.f64 1/2 (+.f64 (/.f64 (*.f64 (+.f64 beta 1) 2) alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (/.f64 (-.f64 -2 beta) alpha)))) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -2251799802426249/2251799813685248) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 265000000000000004600641037579321344) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 250000000000000010605159343504490496) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta -8480865910936245/3533694129556768659166595001485837031654967793751237916243212402585239552) (/.f64 (+.f64 1 (*.f64 1/2 beta)) 2) (if (<=.f64 beta -4223988987137179/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta -7814079413531079/1627933211152308172382776316094057079381044512284157265721742629825204403764070329961287158415906809263410622703474912218234570716337735615323084973713581554222450580936038710562274972146438970881094974642550439936936217782587026682413056) (/.f64 1 2) (if (<=.f64 beta -7790019838314065/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 639536231998125/304541062856249971261043199621099634714882089299843985214622076787904646586450815702050470808812820600790778632231520880733099058287596688955562103009770419360352428123639782183462176734064176511024987296225574339802674935168589842054573862983405175400866837597008673346307143437247315968) (/.f64 1 2) (if (<=.f64 beta 1267285482232321/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 1 2) (+.f64 1 (/.f64 -1 beta)))))))))
(if (<=.f64 beta -8480865910936245/3533694129556768659166595001485837031654967793751237916243212402585239552) (/.f64 1 2) (if (<=.f64 beta -974766689339349/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta -2075614844219193/406983302788077043095694079023514269845261128071039316430435657456301100941017582490321789603976702315852655675868728054558642679084433903830771243428395388555612645234009677640568743036609742720273743660637609984234054445646756670603264) (/.f64 1 2) (if (<=.f64 beta -1298336639719011/1081947199765842424529591879509026010150599323721976877318063532086628152436172512203606540057921920808293160946190599534351047801861499980289103827892100253508375928829962412377562148201321351276593628996016513851695161943555198441141036848674890703850575013678567420592128) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2588599034278125/304541062856249971261043199621099634714882089299843985214622076787904646586450815702050470808812820600790778632231520880733099058287596688955562103009770419360352428123639782183462176734064176511024987296225574339802674935168589842054573862983405175400866837597008673346307143437247315968) (/.f64 1 2) (if (<=.f64 beta 2447171965689999/1747979975492856518824388667826833403974715525645181428798916607807071777670465341756914322865272727992514618482604963383447074020817466839626771608982213111603568988524121832413745194182066575698549805189925857389888339453536229468710863470854144) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 1 2) (+.f64 1 (/.f64 -1 beta)))))))))
(if (<=.f64 beta 2) (/.f64 1 2) (+.f64 1 (/.f64 -1 beta)))
(if (<=.f64 beta 2206763817411543/1125899906842624) (/.f64 1 2) 1)
1
Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9006748894778255/9007199254740992) (*.f64 1/2 (+.f64 (/.f64 (*.f64 (+.f64 beta 1) 2) alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha))))) (/.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))) 1/3) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -9006748894778255/9007199254740992) (*.f64 1/2 (+.f64 (/.f64 (*.f64 2 (+.f64 beta 1)) alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha))))) (/.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 2) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 2))) 1/3) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -9006748894778255/9007199254740992) (*.f64 1/2 (+.f64 (/.f64 (*.f64 2 (+.f64 beta 1)) alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha))))) (/.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 2) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 2))) 1/3) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9006748894778255/9007199254740992) (*.f64 1/2 (+.f64 (/.f64 (*.f64 (+.f64 beta 1) 2) alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha))))) (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -9006748894778255/9007199254740992) (*.f64 1/2 (+.f64 (/.f64 (*.f64 2 (+.f64 beta 1)) alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha))))) (/.f64 (-.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) (fma.f64 alpha (/.f64 1 (+.f64 2 (+.f64 beta alpha))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -9006748894778255/9007199254740992) (*.f64 1/2 (+.f64 (/.f64 (*.f64 2 (+.f64 beta 1)) alpha) (+.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha))))) (/.f64 (-.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) (fma.f64 alpha (/.f64 1 (+.f64 2 (+.f64 beta alpha))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9006748894778255/9007199254740992) (*.f64 1/2 (+.f64 (/.f64 (*.f64 (+.f64 beta 1) 2) alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (/.f64 (-.f64 -2 beta) alpha)))) (/.f64 (-.f64 (/.f64 beta (+.f64 (+.f64 beta alpha) 2)) (fma.f64 alpha (/.f64 1 (+.f64 (+.f64 beta alpha) 2)) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -9006748894778255/9007199254740992) (*.f64 1/2 (+.f64 (/.f64 (*.f64 2 (+.f64 beta 1)) alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) (/.f64 (-.f64 -2 beta) alpha)))) (/.f64 (-.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) (fma.f64 alpha (/.f64 1 (+.f64 2 (+.f64 beta alpha))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -9006748894778255/9007199254740992) (*.f64 1/2 (+.f64 (/.f64 (*.f64 (+.f64 beta 1) 2) alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) (/.f64 (-.f64 -2 beta) alpha)))) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -9006748894778255/9007199254740992) (*.f64 1/2 (+.f64 (/.f64 (*.f64 2 (+.f64 beta 1)) alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) (/.f64 (-.f64 -2 beta) alpha)))) (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -2251799802426249/2251799813685248) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) -2251799802426249/2251799813685248) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) 2))
(if (<=.f64 alpha 265000000000000004600641037579321344) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 265000000000000004600641037579321344) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 250000000000000010605159343504490496) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 250000000000000010605159343504490496) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta -8480865910936245/3533694129556768659166595001485837031654967793751237916243212402585239552) (/.f64 (+.f64 1 (*.f64 1/2 beta)) 2) (if (<=.f64 beta -4223988987137179/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta -7814079413531079/1627933211152308172382776316094057079381044512284157265721742629825204403764070329961287158415906809263410622703474912218234570716337735615323084973713581554222450580936038710562274972146438970881094974642550439936936217782587026682413056) (/.f64 1 2) (if (<=.f64 beta -7790019838314065/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 639536231998125/304541062856249971261043199621099634714882089299843985214622076787904646586450815702050470808812820600790778632231520880733099058287596688955562103009770419360352428123639782183462176734064176511024987296225574339802674935168589842054573862983405175400866837597008673346307143437247315968) (/.f64 1 2) (if (<=.f64 beta 1267285482232321/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 1 2) (+.f64 1 (/.f64 -1 beta)))))))))
(if (<=.f64 beta -8480865910936245/3533694129556768659166595001485837031654967793751237916243212402585239552) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta -4223988987137179/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta -7814079413531079/1627933211152308172382776316094057079381044512284157265721742629825204403764070329961287158415906809263410622703474912218234570716337735615323084973713581554222450580936038710562274972146438970881094974642550439936936217782587026682413056) 1/2 (if (<=.f64 beta -7790019838314065/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 639536231998125/304541062856249971261043199621099634714882089299843985214622076787904646586450815702050470808812820600790778632231520880733099058287596688955562103009770419360352428123639782183462176734064176511024987296225574339802674935168589842054573862983405175400866837597008673346307143437247315968) 1/2 (if (<=.f64 beta 1267285482232321/873989987746428259412194333913416701987357762822590714399458303903535888835232670878457161432636363996257309241302481691723537010408733419813385804491106555801784494262060916206872597091033287849274902594962928694944169726768114734355431735427072) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) 1/2 (+.f64 1 (/.f64 -1 beta)))))))))
(if (<=.f64 beta -8480865910936245/3533694129556768659166595001485837031654967793751237916243212402585239552) (/.f64 1 2) (if (<=.f64 beta -974766689339349/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta -2075614844219193/406983302788077043095694079023514269845261128071039316430435657456301100941017582490321789603976702315852655675868728054558642679084433903830771243428395388555612645234009677640568743036609742720273743660637609984234054445646756670603264) (/.f64 1 2) (if (<=.f64 beta -1298336639719011/1081947199765842424529591879509026010150599323721976877318063532086628152436172512203606540057921920808293160946190599534351047801861499980289103827892100253508375928829962412377562148201321351276593628996016513851695161943555198441141036848674890703850575013678567420592128) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2588599034278125/304541062856249971261043199621099634714882089299843985214622076787904646586450815702050470808812820600790778632231520880733099058287596688955562103009770419360352428123639782183462176734064176511024987296225574339802674935168589842054573862983405175400866837597008673346307143437247315968) (/.f64 1 2) (if (<=.f64 beta 2447171965689999/1747979975492856518824388667826833403974715525645181428798916607807071777670465341756914322865272727992514618482604963383447074020817466839626771608982213111603568988524121832413745194182066575698549805189925857389888339453536229468710863470854144) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 1 2) (+.f64 1 (/.f64 -1 beta)))))))))
(if (<=.f64 beta -8480865910936245/3533694129556768659166595001485837031654967793751237916243212402585239552) 1/2 (if (<=.f64 beta -974766689339349/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta -2075614844219193/406983302788077043095694079023514269845261128071039316430435657456301100941017582490321789603976702315852655675868728054558642679084433903830771243428395388555612645234009677640568743036609742720273743660637609984234054445646756670603264) 1/2 (if (<=.f64 beta -1298336639719011/1081947199765842424529591879509026010150599323721976877318063532086628152436172512203606540057921920808293160946190599534351047801861499980289103827892100253508375928829962412377562148201321351276593628996016513851695161943555198441141036848674890703850575013678567420592128) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2588599034278125/304541062856249971261043199621099634714882089299843985214622076787904646586450815702050470808812820600790778632231520880733099058287596688955562103009770419360352428123639782183462176734064176511024987296225574339802674935168589842054573862983405175400866837597008673346307143437247315968) 1/2 (if (<=.f64 beta 2447171965689999/1747979975492856518824388667826833403974715525645181428798916607807071777670465341756914322865272727992514618482604963383447074020817466839626771608982213111603568988524121832413745194182066575698549805189925857389888339453536229468710863470854144) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) 1/2 (+.f64 1 (/.f64 -1 beta)))))))))
(if (<=.f64 beta 2) (/.f64 1 2) (+.f64 1 (/.f64 -1 beta)))
(if (<=.f64 beta 2) 1/2 (+.f64 1 (/.f64 -1 beta)))
(if (<=.f64 beta 2206763817411543/1125899906842624) (/.f64 1 2) 1)
(if (<=.f64 beta 2206763817411543/1125899906842624) 1/2 1)
1
Compiler

Compiled 455 to 328 computations (27.9% saved)

soundness530.0ms (2.6%)

Algorithm
egg-herbie
Rules
1128×associate-*r*
986×associate-*l*
982×associate-/l*
982×associate-/l*
900×associate-/r*
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01237
12537
24137
36937
411737
525533
646333
784533
8172033
9394033
062515521
1201214321
062820179
1185619189
01237
12537
24137
36937
411737
525533
646333
784533
8172033
9394033
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 439 to 346 computations (21.2% saved)

end180.0ms (0.9%)

Compiler

Compiled 433 to 297 computations (31.4% saved)

Profiling

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