Details

Time bar (total: 13.7s)

analyze36.0ms (0.3%)

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

Compiled 22 to 16 computations (27.3% saved)

sample2.5s (18.3%)

Results
1.2s6457×body256valid
1.1s1049×body1024valid
117.0ms654×body512valid
31.0ms96×body2048valid
Bogosity

preprocess69.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 17 to 13 computations (23.5% saved)

simplify290.0ms (2.1%)

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
13.3b
Counts
6 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
13.3b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
2.2b
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
Compiler

Compiled 50 to 23 computations (54% saved)

series57.0ms (0.4%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
51.0ms
alpha
@-inf
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms
alpha
@0
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
1.0ms
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))

rewrite92.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01156
125956
2384456
Stop Event
node limit
Counts
2 → 134
Calls
Call 1
Inputs
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 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simplify140.0ms (1%)

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

Useful iterations: 1 (0.0ms)

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

eval324.0ms (2.4%)

Compiler

Compiled 12222 to 7914 computations (35.2% saved)

prune90.0ms (0.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New34311354
Fresh000
Picked011
Done000
Total34312355
Error
0.1b
Counts
355 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
13.3b
(/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) 2)
13.9b
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3) 2)
29.6b
(/.f64 (/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) 2)
48.4b
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
13.4b
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2)
28.6b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
13.3b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
14.5b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
13.3b
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
61.7b
(/.f64 (+.f64 -1 1) 2)
50.6b
(/.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)
40.5b
(/.f64 2 2)
Compiler

Compiled 441 to 329 computations (25.4% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
0.1b
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3)
0.2b
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)
2.2b
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
Compiler

Compiled 84 to 52 computations (38.1% saved)

series38.0ms (0.3%)

Counts
4 → 96
Calls

24 calls:

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

rewrite170.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1866×associate-/r*
1528×associate-/l*
342×add-sqr-sqrt
324×add-cbrt-cube
324×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015124
1361124
24708124
Stop Event
node limit
Counts
4 → 211
Calls
Call 1
Inputs
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)
(pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3)
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 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simplify346.0ms (2.5%)

Algorithm
egg-herbie
Rules
1662×associate-*r*
1452×+-commutative
1362×associate-+r+
1028×associate-+l+
608×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0109743621
1373043549
Stop Event
node limit
Counts
307 → 415
Calls
Call 1
Inputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
2
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
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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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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 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1))
(/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3))) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1) 3) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1) 3))
(/.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) 3) (pow.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 3))
(/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)) 1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1))
(/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1))) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)))
(/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)) (*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)))) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)))
(/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1)) (+.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) (-.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1))
(/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3))) 1) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3))) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2)) 1) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2)) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1))) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)))) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) -1) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2)) (+.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) (-.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2)) 1) (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 2)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 6))
(log.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 3)))
(exp.f64 (*.f64 3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 3)))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 0)
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1))
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1)
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) 1))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 2)
(-.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)) (+.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)) 1))
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 -1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3)
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) -1)
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 -2 (+.f64 beta alpha))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
Outputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (*.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (-.f64 (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))))) (/.f64 alpha (+.f64 alpha 2))))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) (*.f64 beta beta)))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (/.f64 (-.f64 (*.f64 alpha (+.f64 alpha 2)) (neg.f64 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 alpha 2) 2)) alpha) (pow.f64 beta 3)))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
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2
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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
(+.f64 8 (+.f64 (*.f64 -4 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (*.f64 -8 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta))))
(+.f64 8 (*.f64 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) -12))
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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)
(fma.f64 -1 (/.f64 (*.f64 (-.f64 (neg.f64 alpha) (+.f64 alpha 2)) -12) beta) 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)) (+.f64 8 (+.f64 (*.f64 4 (/.f64 (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2) (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -4 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha))) (pow.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) 2)) (pow.f64 beta 2))) (*.f64 -4 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2)))))))
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(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))) (*.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)))))) (neg.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.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))))
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(+.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))) (*.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)))))) (neg.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.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))) (*.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))))))) (fma.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) 2) (*.f64 (*.f64 2 (-.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 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))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))) (*.f64 alpha alpha) (*.f64 (pow.f64 alpha 3) (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 (/.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)))))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.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)))))) (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 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))))))))
(+.f64 (fma.f64 (fma.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) (*.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)))))) (neg.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))) alpha (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 3)) (fma.f64 (+.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 2 (-.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 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))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))) (*.f64 alpha alpha) (*.f64 (pow.f64 alpha 3) (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 (/.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)))))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.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)))))) (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 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4))) (pow.f64 (+.f64 1 (/.f64 beta (+.f64 2 beta))) 2)))))))))
(/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 3) (pow.f64 alpha 3))
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 3) (pow.f64 alpha 3)) (/.f64 (*.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (-.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 4))))
(fma.f64 2 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (/.f64 (pow.f64 alpha 4) (-.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (*.f64 beta (+.f64 2 beta))))) (+.f64 (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 3) (pow.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 2 (*.f64 2 beta)) 2) (/.f64 (pow.f64 alpha 4) (-.f64 (neg.f64 (pow.f64 (+.f64 2 beta) 2)) (*.f64 beta (+.f64 2 beta)))))))
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1
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1
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-1
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(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 3)
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(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 3)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 3)))
(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 alpha (+.f64 beta 2))))))
(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 alpha (+.f64 beta 2))))) 1))
(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 alpha (+.f64 beta 2))) 1) 3)))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) 3)
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 0)
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(+.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(+.f64 (neg.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(-.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1) 1)
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (+.f64 (-.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) 1))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))) 2)
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)) (+.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) -1)) 1))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (/.f64 1 (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))))
(*.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (-.f64 beta alpha) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (*.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (cbrt.f64 (-.f64 beta alpha))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 beta alpha))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 -1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (neg.f64 (-.f64 beta alpha)) (/.f64 -1 (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (-.f64 beta alpha) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 (-.f64 beta alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) 1) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 beta alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (sqrt.f64 (-.f64 beta alpha)) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (cbrt.f64 (-.f64 beta alpha)) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1)
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2)
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3)
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 beta alpha)) -1)
(/.f64 1 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)))
(pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(/.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)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))

localize3.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite69.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
118032
2243132
Stop Event
node limit
Counts
2 → 70
Calls
Call 1
Inputs
(/.f64 beta (+.f64 beta 2))
(+.f64 (/.f64 beta (+.f64 beta 2)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 beta (*.f64 (/.f64 1 (+.f64 beta 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (*.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 2)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 beta) (/.f64 1 (+.f64 (neg.f64 beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 beta (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 beta (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta 2) beta) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 beta (+.f64 (neg.f64 beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 beta (+.f64 beta 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (/.f64 beta (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1)))))

simplify86.0ms (0.6%)

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

Useful iterations: 2 (0.0ms)

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

localize11.0ms (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)

series5.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite59.0ms (0.4%)

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

Useful iterations: 1 (0.0ms)

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

simplify53.0ms (0.4%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
089972
1214960
2838732
33745732
Stop Event
node limit
Counts
44 → 44
Calls
Call 1
Inputs
(/.f64 2 alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) 1)
(*.f64 (fma.f64 2 beta 2) (/.f64 1 alpha))
(*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)
(*.f64 1 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))
(*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2))
(*.f64 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 (neg.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3)
(pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1)
(neg.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
Outputs
(/.f64 2 alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 2 (/.f64 beta alpha))
(/.f64 2 (/.f64 alpha beta))
(*.f64 (/.f64 2 alpha) beta)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 2 (/.f64 beta alpha))
(/.f64 2 (/.f64 alpha beta))
(*.f64 (/.f64 2 alpha) beta)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha))) 1)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (fma.f64 2 beta 2) (/.f64 1 alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 1 (/.f64 (fma.f64 2 beta 2) alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 1 alpha) (fma.f64 2 beta 2))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (neg.f64 (fma.f64 2 beta 2)) (/.f64 1 (neg.f64 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (fma.f64 2 beta 2) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha)))
(/.f64 (fma.f64 2 beta 2) (*.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (fma.f64 2 beta 2) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha)))
(/.f64 (fma.f64 2 beta 2) (*.f64 (cbrt.f64 alpha) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 (cbrt.f64 alpha) 2))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (pow.f64 (cbrt.f64 alpha) 2)))
(pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 3)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3) 1/3)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (/.f64 alpha (fma.f64 2 beta 2)) -1)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(neg.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 2))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(log.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha))))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 2 beta 2) alpha) 3))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 1))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)

localize57.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (+.f64 2 beta) 2)
0.2b
(/.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)
2.3b
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))
4.4b
(+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))
Compiler

Compiled 142 to 87 computations (38.7% saved)

series14.0ms (0.1%)

Counts
4 → 84
Calls

21 calls:

TimeVariablePointExpression
7.0ms
beta
@0
(+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))
1.0ms
alpha
@0
(+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))
1.0ms
beta
@-inf
(+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))
1.0ms
beta
@inf
(+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))
1.0ms
alpha
@0
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))

rewrite147.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
488×add-sqr-sqrt
478×+-commutative
474×*-un-lft-identity
472×pow1
454×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019208
1465170
27686170
Stop Event
node limit
Counts
4 → 186
Calls
Call 1
Inputs
(+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))
(/.f64 (*.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)
(pow.f64 (+.f64 2 beta) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta alpha) (-.f64 (/.f64 (+.f64 beta 2) alpha) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)) (/.f64 beta alpha)) (/.f64 (+.f64 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 2) (/.f64 (-.f64 (+.f64 beta (+.f64 beta -2)) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) alpha)) alpha)) (/.f64 (pow.f64 (*.f64 (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 beta 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 2 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 beta (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (+.f64 beta 2) 2) (*.f64 beta beta)) (*.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (+.f64 beta 2) 2) (*.f64 beta 2)) (*.f64 beta beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (+.f64 beta 2) 2) (*.f64 (*.f64 beta 2) 1)) (*.f64 (*.f64 beta beta) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 beta beta)) (*.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 beta 2)) (*.f64 beta beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 (*.f64 beta 2) 1)) (*.f64 (*.f64 beta beta) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 beta 2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 2) (+.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta 2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 beta 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 (cbrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 2) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 4 (*.f64 beta beta)) (+.f64 4 (*.f64 beta beta))) (pow.f64 (+.f64 beta 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta beta))) (+.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 beta 2) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 4 (*.f64 beta beta)) (+.f64 beta 2)) (+.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 beta 2)) (+.f64 4 (*.f64 beta (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 4 (*.f64 beta beta)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 4 (*.f64 beta beta))) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 beta 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 beta 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 beta 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 beta 2) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 beta 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 beta 2) 2)))))))

simplify194.0ms (1.4%)

Algorithm
egg-herbie
Rules
1448×associate-+r+
952×+-commutative
834×associate-*r*
816×associate-*l*
634×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052317146
1152514810
2659414810
Stop Event
node limit
Counts
270 → 357
Calls
Call 1
Inputs
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(/.f64 4 (pow.f64 alpha 2))
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
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(*.f64 (sqrt.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) 1/2))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 1/2)) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 2) 1/4)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 2) 1/4)) (cbrt.f64 (*.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) 2) (*.f64 (cbrt.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) 1/2))
(*.f64 1/2 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)))
(*.f64 -1/2 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)))
(pow.f64 (*.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 1/2) 1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 1/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 1/2)) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 1/2) 3) 1/3)
(pow.f64 (/.f64 2 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) -1)
(neg.f64 (*.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 1/2))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 2) 1/4))
(log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 1/2))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 1/2) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 1/2)))
(exp.f64 (log.f64 (*.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 1/2)) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 1/2)))
(+.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 beta 2) 2))
(+.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 2 (+.f64 beta 2)))
(+.f64 (*.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 beta (+.f64 beta 2)))
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) 2) (*.f64 beta beta)) (*.f64 beta 2))
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) 2) (*.f64 beta 2)) (*.f64 beta beta))
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) 2) (*.f64 (*.f64 beta 2) 1)) (*.f64 (*.f64 beta beta) 1))
(+.f64 (+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 beta beta)) (*.f64 beta 2))
(+.f64 (+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 beta 2)) (*.f64 beta beta))
(+.f64 (+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 (*.f64 beta 2) 1)) (*.f64 (*.f64 beta beta) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 beta 2) 2))) 1)
(*.f64 (+.f64 beta 2) (+.f64 beta 2))
(*.f64 (pow.f64 (+.f64 beta 2) 2) 1)
(*.f64 1 (pow.f64 (+.f64 beta 2) 2))
(*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 (cbrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))
(*.f64 (*.f64 (+.f64 beta 2) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)))
(*.f64 (*.f64 (+.f64 beta 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (+.f64 beta 2)))
(/.f64 (*.f64 (+.f64 4 (*.f64 beta beta)) (+.f64 4 (*.f64 beta beta))) (pow.f64 (+.f64 beta 2) 2))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(/.f64 (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta beta))) (+.f64 beta 2))
(/.f64 (*.f64 (+.f64 beta 2) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (*.f64 (+.f64 4 (*.f64 beta beta)) (+.f64 beta 2)) (+.f64 beta 2))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 beta 2)) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (*.f64 (+.f64 4 (*.f64 beta beta)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 4 (*.f64 beta beta))) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (+.f64 beta 2)))
(sqrt.f64 (pow.f64 (+.f64 beta 2) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 beta 2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 beta 2) 2))))
(cbrt.f64 (pow.f64 (+.f64 beta 2) 6))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 beta 2) 2)))
(exp.f64 (*.f64 2 (log.f64 (+.f64 beta 2))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 beta 2))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 beta 2) 2)))
Outputs
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 alpha))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 4 (*.f64 alpha alpha))) (/.f64 2 alpha))
(+.f64 (fma.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)) (/.f64 4 (*.f64 alpha alpha))) (/.f64 -2 alpha))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha)))) (/.f64 2 alpha))
(+.f64 (fma.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha)))) (/.f64 -2 alpha))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha)))) (/.f64 2 alpha))
(+.f64 (fma.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha)))) (/.f64 -2 alpha))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(/.f64 (*.f64 2 (*.f64 beta beta)) (*.f64 alpha alpha))
(*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 (*.f64 2 (*.f64 beta beta)) (*.f64 alpha alpha)))
(fma.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)) (*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha)))) (/.f64 2 alpha))
(+.f64 (fma.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha)))) (/.f64 -2 alpha))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha)))) (/.f64 2 alpha))
(+.f64 (fma.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha)))) (/.f64 -2 alpha))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(/.f64 (*.f64 2 (*.f64 beta beta)) (*.f64 alpha alpha))
(*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 -1 (*.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha)))) (/.f64 (*.f64 2 (*.f64 beta beta)) (*.f64 alpha alpha)))
(-.f64 (*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (*.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (fma.f64 -1 (*.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha)))) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha)))) (/.f64 2 alpha))
(fma.f64 (neg.f64 beta) (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (+.f64 (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha))) (/.f64 -2 alpha)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (fma.f64 -1 (*.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha)))) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha)))) (/.f64 2 alpha))
(fma.f64 (neg.f64 beta) (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha))) (+.f64 (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha))) (/.f64 -2 alpha)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))
(*.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (fma.f64 2 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (fma.f64 2 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(neg.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))
(neg.f64 (/.f64 (fma.f64 2 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (fma.f64 2 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (fma.f64 2 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(neg.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))
(neg.f64 (/.f64 (fma.f64 2 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (fma.f64 2 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (fma.f64 2 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha))) (/.f64 (fma.f64 2 beta 2) alpha))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
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4
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(/.f64 (+.f64 2 beta) (/.f64 (+.f64 2 beta) (+.f64 4 (*.f64 beta beta))))
(*.f64 1 (fma.f64 beta beta 4))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 beta 2)) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (+.f64 8 (pow.f64 beta 3)) (/.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (+.f64 2 beta)))
(/.f64 (+.f64 8 (pow.f64 beta 3)) (/.f64 (fma.f64 beta (+.f64 beta -2) 4) (+.f64 2 beta)))
(/.f64 (*.f64 (+.f64 4 (*.f64 beta beta)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(/.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 beta beta)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2)))) (+.f64 2 beta))
(/.f64 (/.f64 (*.f64 (fma.f64 beta beta 4) (+.f64 8 (pow.f64 beta 3))) (+.f64 2 beta)) (fma.f64 beta (+.f64 beta -2) 4))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 4 (*.f64 beta beta))) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (+.f64 beta 2)))
(/.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 beta beta)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2)))) (+.f64 2 beta))
(/.f64 (/.f64 (*.f64 (fma.f64 beta beta 4) (+.f64 8 (pow.f64 beta 3))) (+.f64 2 beta)) (fma.f64 beta (+.f64 beta -2) 4))
(sqrt.f64 (pow.f64 (+.f64 beta 2) 4))
(sqrt.f64 (pow.f64 (+.f64 2 beta) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 beta 2) 2)))
(pow.f64 (+.f64 2 beta) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 beta 2) 2))))
(pow.f64 (+.f64 2 beta) 2)
(cbrt.f64 (pow.f64 (+.f64 beta 2) 6))
(cbrt.f64 (pow.f64 (+.f64 2 beta) 6))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 beta 2) 2)))
(pow.f64 (+.f64 2 beta) 2)
(exp.f64 (*.f64 2 (log.f64 (+.f64 beta 2))))
(pow.f64 (+.f64 2 beta) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 beta 2))) 1))
(pow.f64 (+.f64 2 beta) 2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 beta 2) 2)))
(pow.f64 (+.f64 2 beta) 2)

eval977.0ms (7.1%)

Compiler

Compiled 50354 to 36981 computations (26.6% saved)

prune288.0ms (2.1%)

Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New93910949
Fresh156
Picked101
Done055
Total94120961
Error
0.0b
Counts
961 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
13.3b
(/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) 2)
13.9b
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3) 2)
29.6b
(/.f64 (/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) 2)
48.4b
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
13.4b
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2)
50.4b
(/.f64 (/.f64 2 alpha) 2)
45.7b
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
28.6b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
13.3b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
14.5b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
13.3b
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
14.5b
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) beta) 1) 2)
30.7b
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
59.5b
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
58.3b
(/.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha alpha)) (*.f64 (neg.f64 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))) (*.f64 (neg.f64 alpha) (*.f64 alpha alpha)))) 2)
61.4b
(/.f64 (*.f64 -1 (-.f64 (*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (*.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha)))))) 2)
50.6b
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 4 (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2)
49.4b
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 (/.f64 (+.f64 2 beta) (neg.f64 alpha)) (neg.f64 (/.f64 (fma.f64 2 beta 2) alpha))))) 2)
40.5b
(/.f64 2 2)
51.8b
(*.f64 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha)) -1/2)
Compiler

Compiled 675 to 493 computations (27% saved)

localize23.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 63 to 39 computations (38.1% saved)

series4.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite124.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01275
128275
2402475
Stop Event
node limit
Counts
3 → 267
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1)
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 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simplify179.0ms (1.3%)

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

Useful iterations: 1 (0.0ms)

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

localize5.0ms (0%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 19 to 15 computations (21.1% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite56.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1512×add-sqr-sqrt
1486×*-un-lft-identity
1398×add-cube-cbrt
1388×add-cbrt-cube
1378×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
113913
2181813
Stop Event
node limit
Counts
1 → 29
Calls
Call 1
Inputs
(-.f64 2 (/.f64 2 beta))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (/.f64 -2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 (/.f64 -2 beta) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 beta) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (/.f64 -2 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 2 (/.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 beta))) (sqrt.f64 (+.f64 2 (/.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) 2) (cbrt.f64 (+.f64 2 (/.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta))) (/.f64 1 (+.f64 2 (/.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (/.f64 1 (+.f64 4 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 4 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2 (/.f64 2 beta)) (-.f64 4 (/.f64 4 (*.f64 beta beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 4 beta))) (-.f64 8 (/.f64 8 (pow.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta))) (+.f64 2 (/.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (+.f64 4 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 4 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 (/.f64 -2 beta) (/.f64 -2 beta))) (-.f64 2 (/.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (/.f64 -2 beta) 3)) (+.f64 4 (-.f64 (*.f64 (/.f64 -2 beta) (/.f64 -2 beta)) (*.f64 2 (/.f64 -2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta)))) (neg.f64 (+.f64 2 (/.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3)))) (neg.f64 (+.f64 4 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 4 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (/.f64 -2 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 beta))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 -2 beta)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 2 (/.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 beta)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 2 (/.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 2 (/.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 2 (/.f64 -2 beta))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 2 (/.f64 -2 beta))))))))

simplify54.0ms (0.4%)

Algorithm
egg-herbie
Rules
1060×associate-*r/
990×associate-/r*
952×associate-*r*
920×*-commutative
884×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
082893
1205813
2764803
33584803
Stop Event
node limit
Counts
41 → 38
Calls
Call 1
Inputs
(/.f64 -2 beta)
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(+.f64 2 (/.f64 -2 beta))
(+.f64 2 (*.f64 (/.f64 -2 beta) 1))
(+.f64 (/.f64 -2 beta) 2)
(*.f64 (+.f64 2 (/.f64 -2 beta)) 1)
(*.f64 1 (+.f64 2 (/.f64 -2 beta)))
(*.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 beta))) (sqrt.f64 (+.f64 2 (/.f64 -2 beta))))
(*.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) 2) (cbrt.f64 (+.f64 2 (/.f64 -2 beta))))
(*.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta))) (/.f64 1 (+.f64 2 (/.f64 2 beta))))
(*.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (/.f64 1 (+.f64 4 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 4 beta)))))
(/.f64 1 (/.f64 (+.f64 2 (/.f64 2 beta)) (-.f64 4 (/.f64 4 (*.f64 beta beta)))))
(/.f64 1 (/.f64 (+.f64 4 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 4 beta))) (-.f64 8 (/.f64 8 (pow.f64 beta 3)))))
(/.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta))) (+.f64 2 (/.f64 2 beta)))
(/.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (+.f64 4 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 4 beta))))
(/.f64 (-.f64 4 (*.f64 (/.f64 -2 beta) (/.f64 -2 beta))) (-.f64 2 (/.f64 -2 beta)))
(/.f64 (+.f64 8 (pow.f64 (/.f64 -2 beta) 3)) (+.f64 4 (-.f64 (*.f64 (/.f64 -2 beta) (/.f64 -2 beta)) (*.f64 2 (/.f64 -2 beta)))))
(/.f64 (neg.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta)))) (neg.f64 (+.f64 2 (/.f64 2 beta))))
(/.f64 (neg.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3)))) (neg.f64 (+.f64 4 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 4 beta)))))
(pow.f64 (+.f64 2 (/.f64 -2 beta)) 1)
(pow.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 beta))) 2)
(pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) 3)
(pow.f64 (pow.f64 (+.f64 2 (/.f64 -2 beta)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 beta)) 2))
(log.f64 (exp.f64 (+.f64 2 (/.f64 -2 beta))))
(cbrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 beta)) 3))
(expm1.f64 (log1p.f64 (+.f64 2 (/.f64 -2 beta))))
(exp.f64 (log.f64 (+.f64 2 (/.f64 -2 beta))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 (/.f64 -2 beta))) 1))
(log1p.f64 (expm1.f64 (+.f64 2 (/.f64 -2 beta))))
Outputs
(/.f64 -2 beta)
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
2
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(-.f64 2 (*.f64 2 (/.f64 1 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(+.f64 2 (/.f64 -2 beta))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(+.f64 2 (*.f64 (/.f64 -2 beta) 1))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(+.f64 (/.f64 -2 beta) 2)
(-.f64 2 (/.f64 2 beta))
(*.f64 (+.f64 2 (/.f64 -2 beta)) 1)
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(*.f64 1 (+.f64 2 (/.f64 -2 beta)))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(*.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 beta))) (sqrt.f64 (+.f64 2 (/.f64 -2 beta))))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(*.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) 2))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) 2) (cbrt.f64 (+.f64 2 (/.f64 -2 beta))))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(*.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta))) (/.f64 1 (+.f64 2 (/.f64 2 beta))))
(/.f64 (+.f64 4 (/.f64 -4 (*.f64 beta beta))) (+.f64 2 (/.f64 2 beta)))
(/.f64 (+.f64 4 (/.f64 (/.f64 -4 beta) beta)) (+.f64 2 (/.f64 2 beta)))
(*.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (/.f64 1 (+.f64 4 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 4 beta)))))
(*.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (/.f64 1 (+.f64 (+.f64 4 (/.f64 4 (*.f64 beta beta))) (/.f64 4 beta))))
(/.f64 (+.f64 8 (/.f64 -8 (pow.f64 beta 3))) (fma.f64 (/.f64 -2 beta) (+.f64 -2 (/.f64 -2 beta)) 4))
(/.f64 (+.f64 8 (/.f64 -8 (pow.f64 beta 3))) (+.f64 4 (/.f64 (+.f64 4 (/.f64 4 beta)) beta)))
(/.f64 1 (/.f64 (+.f64 2 (/.f64 2 beta)) (-.f64 4 (/.f64 4 (*.f64 beta beta)))))
(*.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta))) (/.f64 1 (+.f64 2 (/.f64 2 beta))))
(/.f64 (+.f64 4 (/.f64 -4 (*.f64 beta beta))) (+.f64 2 (/.f64 2 beta)))
(/.f64 (+.f64 4 (/.f64 (/.f64 -4 beta) beta)) (+.f64 2 (/.f64 2 beta)))
(/.f64 1 (/.f64 (+.f64 4 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 4 beta))) (-.f64 8 (/.f64 8 (pow.f64 beta 3)))))
(*.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (/.f64 1 (+.f64 (+.f64 4 (/.f64 4 (*.f64 beta beta))) (/.f64 4 beta))))
(/.f64 (+.f64 8 (/.f64 -8 (pow.f64 beta 3))) (fma.f64 (/.f64 -2 beta) (+.f64 -2 (/.f64 -2 beta)) 4))
(/.f64 (+.f64 8 (/.f64 -8 (pow.f64 beta 3))) (+.f64 4 (/.f64 (+.f64 4 (/.f64 4 beta)) beta)))
(/.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta))) (+.f64 2 (/.f64 2 beta)))
(*.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta))) (/.f64 1 (+.f64 2 (/.f64 2 beta))))
(/.f64 (+.f64 4 (/.f64 -4 (*.f64 beta beta))) (+.f64 2 (/.f64 2 beta)))
(/.f64 (+.f64 4 (/.f64 (/.f64 -4 beta) beta)) (+.f64 2 (/.f64 2 beta)))
(/.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (+.f64 4 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 4 beta))))
(*.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (/.f64 1 (+.f64 (+.f64 4 (/.f64 4 (*.f64 beta beta))) (/.f64 4 beta))))
(/.f64 (+.f64 8 (/.f64 -8 (pow.f64 beta 3))) (fma.f64 (/.f64 -2 beta) (+.f64 -2 (/.f64 -2 beta)) 4))
(/.f64 (+.f64 8 (/.f64 -8 (pow.f64 beta 3))) (+.f64 4 (/.f64 (+.f64 4 (/.f64 4 beta)) beta)))
(/.f64 (-.f64 4 (*.f64 (/.f64 -2 beta) (/.f64 -2 beta))) (-.f64 2 (/.f64 -2 beta)))
(*.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta))) (/.f64 1 (+.f64 2 (/.f64 2 beta))))
(/.f64 (+.f64 4 (/.f64 -4 (*.f64 beta beta))) (+.f64 2 (/.f64 2 beta)))
(/.f64 (+.f64 4 (/.f64 (/.f64 -4 beta) beta)) (+.f64 2 (/.f64 2 beta)))
(/.f64 (+.f64 8 (pow.f64 (/.f64 -2 beta) 3)) (+.f64 4 (-.f64 (*.f64 (/.f64 -2 beta) (/.f64 -2 beta)) (*.f64 2 (/.f64 -2 beta)))))
(*.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (/.f64 1 (+.f64 (+.f64 4 (/.f64 4 (*.f64 beta beta))) (/.f64 4 beta))))
(/.f64 (+.f64 8 (/.f64 -8 (pow.f64 beta 3))) (fma.f64 (/.f64 -2 beta) (+.f64 -2 (/.f64 -2 beta)) 4))
(/.f64 (+.f64 8 (/.f64 -8 (pow.f64 beta 3))) (+.f64 4 (/.f64 (+.f64 4 (/.f64 4 beta)) beta)))
(/.f64 (neg.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta)))) (neg.f64 (+.f64 2 (/.f64 2 beta))))
(*.f64 (-.f64 4 (/.f64 4 (*.f64 beta beta))) (/.f64 1 (+.f64 2 (/.f64 2 beta))))
(/.f64 (+.f64 4 (/.f64 -4 (*.f64 beta beta))) (+.f64 2 (/.f64 2 beta)))
(/.f64 (+.f64 4 (/.f64 (/.f64 -4 beta) beta)) (+.f64 2 (/.f64 2 beta)))
(/.f64 (neg.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3)))) (neg.f64 (+.f64 4 (+.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 4 beta)))))
(*.f64 (-.f64 8 (/.f64 8 (pow.f64 beta 3))) (/.f64 1 (+.f64 (+.f64 4 (/.f64 4 (*.f64 beta beta))) (/.f64 4 beta))))
(/.f64 (+.f64 8 (/.f64 -8 (pow.f64 beta 3))) (fma.f64 (/.f64 -2 beta) (+.f64 -2 (/.f64 -2 beta)) 4))
(/.f64 (+.f64 8 (/.f64 -8 (pow.f64 beta 3))) (+.f64 4 (/.f64 (+.f64 4 (/.f64 4 beta)) beta)))
(pow.f64 (+.f64 2 (/.f64 -2 beta)) 1)
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(pow.f64 (sqrt.f64 (+.f64 2 (/.f64 -2 beta))) 2)
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(pow.f64 (cbrt.f64 (+.f64 2 (/.f64 -2 beta))) 3)
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(pow.f64 (pow.f64 (+.f64 2 (/.f64 -2 beta)) 3) 1/3)
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(sqrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 beta)) 2))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(log.f64 (exp.f64 (+.f64 2 (/.f64 -2 beta))))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(cbrt.f64 (pow.f64 (+.f64 2 (/.f64 -2 beta)) 3))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(expm1.f64 (log1p.f64 (+.f64 2 (/.f64 -2 beta))))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(exp.f64 (log.f64 (+.f64 2 (/.f64 -2 beta))))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(exp.f64 (*.f64 (log.f64 (+.f64 2 (/.f64 -2 beta))) 1))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)
(log1p.f64 (expm1.f64 (+.f64 2 (/.f64 -2 beta))))
(-.f64 2 (/.f64 2 beta))
(+.f64 (/.f64 -2 beta) 2)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 40 to 31 computations (22.5% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite90.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1258×associate-*r/
894×associate-*l/
838×*-commutative
652×associate-/r*
436×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0945
120345
2263445
Stop Event
node limit
Counts
3 → 215
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (+.f64 beta 2)) beta)
(/.f64 1 (+.f64 beta 2))
(+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) beta) 1)
Outputs
((#(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 beta (+.f64 beta 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) beta) (*.f64 (/.f64 beta (fma.f64 beta beta -4)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (*.f64 beta beta)) (*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta -2))) (*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (/.f64 beta (fma.f64 beta beta -4))) (*.f64 -2 (/.f64 beta (fma.f64 beta beta -4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 beta beta) (/.f64 beta (+.f64 8 (pow.f64 beta 3)))) (*.f64 (+.f64 4 (*.f64 beta -2)) (/.f64 beta (+.f64 8 (pow.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 4 (*.f64 beta -2)) (/.f64 beta (+.f64 8 (pow.f64 beta 3)))) (*.f64 (*.f64 beta beta) (/.f64 beta (+.f64 8 (pow.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 beta (+.f64 beta 2))))) 2)))) (#(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 (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 beta 2) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 beta (+.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 beta (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 beta) (/.f64 (+.f64 beta 2) (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 beta) (/.f64 (+.f64 beta 2) (pow.f64 (cbrt.f64 beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 beta) (/.f64 (/.f64 (+.f64 beta 2) (sqrt.f64 beta)) (cbrt.f64 (sqrt.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 beta) (/.f64 (/.f64 (+.f64 beta 2) (cbrt.f64 beta)) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (+.f64 beta 2) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (-.f64 -2 beta) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (/.f64 (+.f64 beta 2) (sqrt.f64 beta)) (sqrt.f64 (cbrt.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (/.f64 (+.f64 beta 2) (cbrt.f64 beta)) (sqrt.f64 (pow.f64 (cbrt.f64 beta) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sqrt.f64 beta)) (/.f64 (/.f64 (+.f64 beta 2) (sqrt.f64 beta)) 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(neg.f64 beta) (-.f64 -2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 beta (+.f64 beta -2)) (fma.f64 beta beta -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 beta (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 beta 1)) (+.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 beta (sqrt.f64 (+.f64 beta 2)))) (sqrt.f64 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))) (cbrt.f64 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 beta)) (sqrt.f64 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 beta)) (cbrt.f64 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 beta (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 -1)) (sqrt.f64 (-.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 beta (cbrt.f64 (pow.f64 (+.f64 beta 2) -2))) 1) (cbrt.f64 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 beta (cbrt.f64 (pow.f64 (+.f64 beta 2) -2))) -1) (cbrt.f64 (-.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (fma.f64 beta beta -4)) (+.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 (pow.f64 beta 3) 8)) (+.f64 (*.f64 beta beta) (*.f64 2 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (+.f64 4 (*.f64 beta -2)) (+.f64 4 (*.f64 beta -2))))) (+.f64 (fma.f64 beta beta -4) (*.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (+.f64 (pow.f64 (*.f64 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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)))))

simplify143.0ms (1%)

Algorithm
egg-herbie
Rules
1292×associate-+l+
1144×associate-+r+
844×+-commutative
714×associate-/l*
524×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060610093
116959061
264509061
Stop Event
node limit
Counts
251 → 369
Calls
Call 1
Inputs
(*.f64 1/2 beta)
(+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2)))
(+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))
(+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
1/2
(+.f64 (*.f64 -1/4 beta) 1/2)
(+.f64 (*.f64 -1/4 beta) (+.f64 1/2 (*.f64 1/8 (pow.f64 beta 2))))
(+.f64 (*.f64 -1/4 beta) (+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 beta 2)) (*.f64 -1/16 (pow.f64 beta 3)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 4))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 4))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))
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 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(+.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) beta) (*.f64 (/.f64 beta (fma.f64 beta beta -4)) -2))
(+.f64 (*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (*.f64 beta beta)) (*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta -2))))
(+.f64 (*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta -2))) (*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (*.f64 beta beta)))
(+.f64 (*.f64 beta (/.f64 beta (fma.f64 beta beta -4))) (*.f64 -2 (/.f64 beta (fma.f64 beta beta -4))))
(+.f64 (*.f64 (*.f64 beta beta) (/.f64 beta (+.f64 8 (pow.f64 beta 3)))) (*.f64 (+.f64 4 (*.f64 beta -2)) (/.f64 beta (+.f64 8 (pow.f64 beta 3)))))
(+.f64 (*.f64 (+.f64 4 (*.f64 beta -2)) (/.f64 beta (+.f64 8 (pow.f64 beta 3)))) (*.f64 (*.f64 beta beta) (/.f64 beta (+.f64 8 (pow.f64 beta 3)))))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1)
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 beta (+.f64 beta 2))))) 2)
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (+.f64 (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) 1))
(/.f64 1 (/.f64 (+.f64 beta 2) beta))
(/.f64 beta (+.f64 beta 2))
(/.f64 (/.f64 beta (+.f64 beta 2)) 1)
(/.f64 (sqrt.f64 beta) (/.f64 (+.f64 beta 2) (sqrt.f64 beta)))
(/.f64 (cbrt.f64 beta) (/.f64 (+.f64 beta 2) (pow.f64 (cbrt.f64 beta) 2)))
(/.f64 (cbrt.f64 beta) (/.f64 (/.f64 (+.f64 beta 2) (sqrt.f64 beta)) (cbrt.f64 (sqrt.f64 beta))))
(/.f64 (cbrt.f64 beta) (/.f64 (/.f64 (+.f64 beta 2) (cbrt.f64 beta)) (cbrt.f64 beta)))
(/.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (+.f64 beta 2) (cbrt.f64 beta)))
(/.f64 -1 (/.f64 (-.f64 -2 beta) beta))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (/.f64 (+.f64 beta 2) (sqrt.f64 beta)) (sqrt.f64 (cbrt.f64 beta))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (/.f64 (+.f64 beta 2) (cbrt.f64 beta)) (sqrt.f64 (pow.f64 (cbrt.f64 beta) 2))))
(/.f64 (sqrt.f64 (sqrt.f64 beta)) (/.f64 (/.f64 (+.f64 beta 2) (sqrt.f64 beta)) (sqrt.f64 (sqrt.f64 beta))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 beta) 2))) (/.f64 (/.f64 (+.f64 beta 2) (cbrt.f64 beta)) (cbrt.f64 (pow.f64 (cbrt.f64 beta) 2))))
(/.f64 (*.f64 beta (cbrt.f64 (pow.f64 (+.f64 beta 2) -2))) (cbrt.f64 (+.f64 beta 2)))
(/.f64 (/.f64 beta 1) (+.f64 beta 2))
(/.f64 (/.f64 beta (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)))
(/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (+.f64 beta 2)))
(/.f64 (/.f64 beta (fma.f64 beta beta -4)) (/.f64 1 (+.f64 beta -2)))
(/.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (/.f64 1 (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(/.f64 (neg.f64 beta) (-.f64 -2 beta))
(/.f64 (*.f64 beta (+.f64 beta -2)) (fma.f64 beta beta -4))
(/.f64 (/.f64 beta (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))
(/.f64 (*.f64 1 (/.f64 beta 1)) (+.f64 beta 2))
(/.f64 (*.f64 1 (/.f64 beta (sqrt.f64 (+.f64 beta 2)))) (sqrt.f64 (+.f64 beta 2)))
(/.f64 (*.f64 1 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))) (cbrt.f64 (+.f64 beta 2)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 beta)) (sqrt.f64 (+.f64 beta 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 beta)) (cbrt.f64 (+.f64 beta 2)))
(/.f64 (*.f64 (/.f64 beta (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 -1)) (sqrt.f64 (-.f64 -2 beta)))
(/.f64 (*.f64 (*.f64 beta (cbrt.f64 (pow.f64 (+.f64 beta 2) -2))) 1) (cbrt.f64 (+.f64 beta 2)))
(/.f64 (*.f64 (*.f64 beta (cbrt.f64 (pow.f64 (+.f64 beta 2) -2))) -1) (cbrt.f64 (-.f64 -2 beta)))
(/.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (fma.f64 beta beta -4)) (+.f64 beta 2))
(/.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) (-.f64 (pow.f64 beta 3) 8)) (+.f64 (*.f64 beta beta) (*.f64 2 (+.f64 beta 2))))
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(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)) (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))) (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2)) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) 1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) 3) 1) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) 1) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) (-.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3) (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3))))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) 1) (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))) (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (*.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) -1)))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (+.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta 2))))) (-.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1))
(/.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 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) (sqrt.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)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))) (cbrt.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)) 2)) 1) (-.f64 1 (/.f64 beta (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (sqrt.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2))))) (sqrt.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (cbrt.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) (cbrt.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2)))))
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))
(neg.f64 (/.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)))))))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 beta (+.f64 beta 2)))))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(fma.f64 1 (/.f64 beta (+.f64 beta 2)) 1)
(fma.f64 beta (/.f64 1 (+.f64 beta 2)) 1)
(fma.f64 (/.f64 1 (+.f64 beta 2)) beta 1)
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta 2))) (sqrt.f64 (/.f64 beta (+.f64 beta 2))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta 2))) 1)
Outputs
(*.f64 1/2 beta)
(+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2)))
(fma.f64 1/2 beta (*.f64 -1/4 (*.f64 beta beta)))
(+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3))))
(fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3))))
(fma.f64 1/2 beta (fma.f64 1/8 (pow.f64 beta 3) (*.f64 -1/4 (*.f64 beta beta))))
(+.f64 (*.f64 -1/16 (pow.f64 beta 4)) (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))))
(fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3)))))
(fma.f64 -1/16 (pow.f64 beta 4) (fma.f64 1/2 beta (fma.f64 1/8 (pow.f64 beta 3) (*.f64 -1/4 (*.f64 beta beta)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)))
(+.f64 1 (-.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 2 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))))
(-.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 2 beta))) (/.f64 8 (pow.f64 beta 3)))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (/.f64 2 beta)))
(+.f64 1 (-.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 2 beta)))
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(+.f64 1 (-.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))))
(-.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 2 beta))) (/.f64 8 (pow.f64 beta 3)))
1/2
(+.f64 (*.f64 -1/4 beta) 1/2)
(fma.f64 -1/4 beta 1/2)
(fma.f64 beta -1/4 1/2)
(+.f64 (*.f64 -1/4 beta) (+.f64 1/2 (*.f64 1/8 (pow.f64 beta 2))))
(+.f64 (fma.f64 -1/4 beta 1/2) (*.f64 1/8 (*.f64 beta beta)))
(fma.f64 beta -1/4 (fma.f64 1/8 (*.f64 beta beta) 1/2))
(+.f64 (*.f64 -1/4 beta) (+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 beta 2)) (*.f64 -1/16 (pow.f64 beta 3)))))
(+.f64 (fma.f64 -1/4 beta 1/2) (fma.f64 1/8 (*.f64 beta beta) (*.f64 (pow.f64 beta 3) -1/16)))
(+.f64 (fma.f64 beta -1/4 1/2) (fma.f64 (pow.f64 beta 3) -1/16 (*.f64 1/8 (*.f64 beta beta))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (/.f64 1 beta) (/.f64 2 (*.f64 beta beta)))
(+.f64 (/.f64 1 beta) (/.f64 -2 (*.f64 beta beta)))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 4 (pow.f64 beta 3))) (/.f64 2 (*.f64 beta beta)))
(+.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (/.f64 -2 (*.f64 beta beta))))
(+.f64 (+.f64 (/.f64 1 beta) (/.f64 -2 (*.f64 beta beta))) (/.f64 4 (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 4))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 8 (pow.f64 beta 4)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (/.f64 1 beta) (/.f64 2 (*.f64 beta beta)))
(+.f64 (/.f64 1 beta) (/.f64 -2 (*.f64 beta beta)))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 4 (pow.f64 beta 3))) (/.f64 2 (*.f64 beta beta)))
(+.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (/.f64 -2 (*.f64 beta beta))))
(+.f64 (+.f64 (/.f64 1 beta) (/.f64 -2 (*.f64 beta beta))) (/.f64 4 (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 4))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 4 (pow.f64 beta 3)) (+.f64 (/.f64 2 (*.f64 beta beta)) (/.f64 8 (pow.f64 beta 4)))))
1
(+.f64 1 (*.f64 1/2 beta))
(+.f64 (*.f64 1/2 beta) 1)
(fma.f64 1/2 beta 1)
(+.f64 1 (+.f64 (*.f64 1/2 beta) (*.f64 -1/4 (pow.f64 beta 2))))
(+.f64 (fma.f64 1/2 beta (*.f64 -1/4 (*.f64 beta beta))) 1)
(+.f64 (*.f64 -1/4 (*.f64 beta beta)) (fma.f64 1/2 beta 1))
(+.f64 1 (+.f64 (*.f64 1/2 beta) (+.f64 (*.f64 -1/4 (pow.f64 beta 2)) (*.f64 1/8 (pow.f64 beta 3)))))
(+.f64 (fma.f64 1/2 beta (fma.f64 -1/4 (*.f64 beta beta) (*.f64 1/8 (pow.f64 beta 3)))) 1)
(+.f64 (fma.f64 1/8 (pow.f64 beta 3) (*.f64 -1/4 (*.f64 beta beta))) (fma.f64 1/2 beta 1))
2
(-.f64 2 (*.f64 2 (/.f64 1 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 2 (-.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 2 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))))
(+.f64 2 (-.f64 (-.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 2 beta)) (/.f64 8 (pow.f64 beta 3))))
2
(-.f64 2 (*.f64 2 (/.f64 1 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 2 (-.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 2 beta)))
(-.f64 (+.f64 2 (*.f64 4 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(+.f64 2 (-.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 (/.f64 2 beta) (/.f64 8 (pow.f64 beta 3)))))
(+.f64 2 (-.f64 (-.f64 (/.f64 (/.f64 4 beta) beta) (/.f64 2 beta)) (/.f64 8 (pow.f64 beta 3))))
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 beta (+.f64 beta 2))
(+.f64 (/.f64 beta (+.f64 beta 2)) 0)
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 beta (+.f64 beta 2))
(+.f64 (*.f64 (/.f64 beta (fma.f64 beta beta -4)) beta) (*.f64 (/.f64 beta (fma.f64 beta beta -4)) -2))
(*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2))
(*.f64 beta (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4)))
(+.f64 (*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (*.f64 beta beta)) (*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta -2))))
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (+.f64 (+.f64 4 (*.f64 beta -2)) (*.f64 beta beta)))
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (fma.f64 beta (+.f64 beta -2) 4))
(+.f64 (*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta -2))) (*.f64 (/.f64 beta (+.f64 8 (pow.f64 beta 3))) (*.f64 beta beta)))
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (+.f64 (+.f64 4 (*.f64 beta -2)) (*.f64 beta beta)))
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (fma.f64 beta (+.f64 beta -2) 4))
(+.f64 (*.f64 beta (/.f64 beta (fma.f64 beta beta -4))) (*.f64 -2 (/.f64 beta (fma.f64 beta beta -4))))
(*.f64 (/.f64 beta (fma.f64 beta beta -4)) (+.f64 beta -2))
(*.f64 beta (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4)))
(+.f64 (*.f64 (*.f64 beta beta) (/.f64 beta (+.f64 8 (pow.f64 beta 3)))) (*.f64 (+.f64 4 (*.f64 beta -2)) (/.f64 beta (+.f64 8 (pow.f64 beta 3)))))
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (+.f64 (+.f64 4 (*.f64 beta -2)) (*.f64 beta beta)))
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (fma.f64 beta (+.f64 beta -2) 4))
(+.f64 (*.f64 (+.f64 4 (*.f64 beta -2)) (/.f64 beta (+.f64 8 (pow.f64 beta 3)))) (*.f64 (*.f64 beta beta) (/.f64 beta (+.f64 8 (pow.f64 beta 3)))))
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (+.f64 (+.f64 4 (*.f64 beta -2)) (*.f64 beta beta)))
(*.f64 (/.f64 beta (+.f64 (pow.f64 beta 3) 8)) (fma.f64 beta (+.f64 beta -2) 4))
(-.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1)
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 beta (+.f64 beta 2))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 beta (+.f64 beta 2))))) 2)
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 beta (+.f64 beta 2))
(-.f64 (/.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (+.f64 (/.f64 beta (+.f64 beta 2)) -1)) (+.f64 (/.f64 1 (+.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 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 -1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))))
(+.f64 -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 2) beta))
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 beta (+.f64 beta 2))
(/.f64 beta (+.f64 beta 2))
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 (/.f64 beta (+.f64 beta 2)) 1)
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 beta (+.f64 beta 2))
(/.f64 (sqrt.f64 beta) (/.f64 (+.f64 beta 2) (sqrt.f64 beta)))
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 beta (+.f64 beta 2))
(/.f64 (cbrt.f64 beta) (/.f64 (+.f64 beta 2) (pow.f64 (cbrt.f64 beta) 2)))
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 beta (+.f64 beta 2))
(/.f64 (cbrt.f64 beta) (/.f64 (/.f64 (+.f64 beta 2) (sqrt.f64 beta)) (cbrt.f64 (sqrt.f64 beta))))
(*.f64 (cbrt.f64 (sqrt.f64 beta)) (*.f64 (/.f64 (cbrt.f64 beta) (+.f64 beta 2)) (sqrt.f64 beta)))
(/.f64 (cbrt.f64 beta) (/.f64 (/.f64 (+.f64 beta 2) (cbrt.f64 beta)) (cbrt.f64 beta)))
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 beta (+.f64 beta 2))
(/.f64 (pow.f64 (cbrt.f64 beta) 2) (/.f64 (+.f64 beta 2) (cbrt.f64 beta)))
(+.f64 1 (+.f64 (/.f64 beta (+.f64 beta 2)) -1))
(/.f64 beta (+.f64 beta 2))
(/.f64 -1 (/.f64 (-.f64 -2 beta) beta))
(*.f64 (/.f64 -1 (-.f64 -2 beta)) beta)
(/.f64 (neg.f64 beta) (-.f64 -2 beta))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (/.f64 (+.f64 beta 2) (sqrt.f64 beta)) (sqrt.f64 (cbrt.f64 beta))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (+.f64 beta 2) (sqrt.f64 beta))) (sqrt.f64 (cbrt.f64 beta)))
(*.f64 (sqrt.f64 (cbrt.f64 beta)) (*.f64 (/.f64 (fabs.f64 (cbrt.f64 beta)) (+.f64 beta 2)) (sqrt.f64 beta)))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (/.f64 (+.f64 beta 2) (cbrt.f64 beta)) (sqrt.f64 (pow.f64 (cbrt.f64 beta) 2))))
(*.f64 (fabs.f64 (cbrt.f64 beta)) (*.f64 (/.f64 (fabs.f64 (cbrt.f64 beta)) (+.f64 beta 2)) (cbrt.f64 beta)))
(/.f64 (sqrt.f64 (sqrt.f64 beta)) (/.f64 (/.f64 (+.f64 beta 2) (sqrt.f64 beta)) (sqrt.f64 (sqrt.f64 beta))))
(/.f64 (sqrt.f64 (sqrt.f64 beta)) (/.f64 (+.f64 beta 2) (*.f64 (sqrt.f64 (sqrt.f64 beta)) (sqrt.f64 beta))))
(*.f64 (/.f64 (sqrt.f64 (sqrt.f64 beta)) (+.f64 beta 2)) (*.f64 (sqrt.f64 beta) (sqrt.f64 (sqrt.f64 beta))))
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(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) 1) (-.f64 1 (/.f64 beta (+.f64 beta 2))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (sqrt.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2))))) (sqrt.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2)))) (cbrt.f64 (-.f64 1 (/.f64 beta (+.f64 beta 2)))))) (cbrt.f64 (-.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))))
(pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 2)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))) 3)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3) 1/3)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) -1) (-.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))))
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))))
(/.f64 (-.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2) (-.f64 1 (/.f64 beta (+.f64 beta 2))))))
(/.f64 (-.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta 2)) 3)) (-.f64 (neg.f64 (pow.f64 (/.f64 beta (+.f64 beta 2)) 2)) (-.f64 1 (/.f64 beta (+.f64 beta 2)))))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2))
(fabs.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))
(log.f64 (exp.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 3))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2)))))
(+.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 beta (/.f64 1 (+.f64 beta 2)) 1)
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(fma.f64 (/.f64 1 (+.f64 beta 2)) beta 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)))

localize49.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
3.6b
(+.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha alpha)) (*.f64 (neg.f64 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))))
3.7b
(*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha alpha))
4.5b
(*.f64 (neg.f64 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))
14.9b
(/.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha alpha)) (*.f64 (neg.f64 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))) (*.f64 (neg.f64 alpha) (*.f64 alpha alpha)))
Compiler

Compiled 173 to 75 computations (56.6% saved)

series12.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite100.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
618×associate-+l+
526×associate-+r+
424×add-sqr-sqrt
414×pow1
414×*-un-lft-identity
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017204
1402138
26626130
Stop Event
node limit
Counts
4 → 140
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha alpha)) (*.f64 (neg.f64 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))) (*.f64 (neg.f64 alpha) (*.f64 alpha alpha)))
(*.f64 (neg.f64 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))
(*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha alpha))
(+.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha alpha)) (*.f64 (neg.f64 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) (pow.f64 alpha 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) (/.f64 1 (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) (pow.f64 alpha 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))) (*.f64 (sqrt.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))) (/.f64 1 (pow.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify128.0ms (0.9%)

Algorithm
egg-herbie
Rules
944×+-commutative
936×associate--r+
746×associate-*r*
642×fma-def
554×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038110030
111549178
262659178
Stop Event
node limit
Counts
236 → 289
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha)) (pow.f64 alpha 3)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha)) (pow.f64 alpha 3))) (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 alpha) (*.f64 2 alpha)) (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 alpha) (*.f64 2 alpha)) (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
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(exp.f64 (log.f64 (/.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) (pow.f64 alpha 3))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) (pow.f64 alpha 3))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) (pow.f64 alpha 3))))
(+.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))) (*.f64 alpha (+.f64 beta beta)))
(+.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))) (*.f64 (+.f64 beta beta) alpha))
(+.f64 (*.f64 (*.f64 alpha (+.f64 2 beta)) 2) (*.f64 (*.f64 alpha (+.f64 2 beta)) (+.f64 beta beta)))
(+.f64 (*.f64 (*.f64 alpha (+.f64 2 beta)) (+.f64 beta beta)) (*.f64 (*.f64 alpha (+.f64 2 beta)) 2))
(+.f64 (*.f64 (*.f64 alpha (+.f64 2 beta)) (+.f64 2 beta)) (*.f64 (*.f64 alpha (+.f64 2 beta)) beta))
(+.f64 (*.f64 (*.f64 alpha (+.f64 2 beta)) beta) (*.f64 (*.f64 alpha (+.f64 2 beta)) (+.f64 2 beta)))
(+.f64 (*.f64 alpha (+.f64 beta beta)) (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(+.f64 (*.f64 2 (*.f64 alpha (+.f64 2 beta))) (*.f64 (+.f64 beta beta) (*.f64 alpha (+.f64 2 beta))))
(+.f64 (*.f64 (+.f64 beta beta) (*.f64 alpha (+.f64 2 beta))) (*.f64 2 (*.f64 alpha (+.f64 2 beta))))
(+.f64 (*.f64 (+.f64 2 beta) (*.f64 alpha (+.f64 2 beta))) (*.f64 beta (*.f64 alpha (+.f64 2 beta))))
(+.f64 (*.f64 beta (*.f64 alpha (+.f64 2 beta))) (*.f64 (+.f64 2 beta) (*.f64 alpha (+.f64 2 beta))))
(+.f64 (*.f64 (+.f64 beta beta) alpha) (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(-.f64 0 (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))))) 1)
(/.f64 (*.f64 (*.f64 alpha (+.f64 2 beta)) (-.f64 4 (+.f64 beta beta))) (+.f64 2 (*.f64 -2 beta)))
(/.f64 (*.f64 (*.f64 alpha (+.f64 2 beta)) (+.f64 beta (+.f64 beta 8))) (+.f64 beta (+.f64 beta (-.f64 4 (+.f64 beta beta)))))
(pow.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))) 1)
(pow.f64 (sqrt.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4)))) 2)
(pow.f64 (cbrt.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4)))) 3)
(pow.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))) 3) 1/3)
(neg.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(sqrt.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta (+.f64 beta 4))) alpha))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))))))
(cbrt.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))) 3))
(expm1.f64 (log1p.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4)))))
(exp.f64 (log.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4)))))
(exp.f64 (*.f64 (log.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4)))) 1))
(log1p.f64 (expm1.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4)))))
(+.f64 (*.f64 (*.f64 alpha alpha) 2) (*.f64 (*.f64 alpha alpha) (+.f64 beta beta)))
(+.f64 (*.f64 (*.f64 alpha alpha) (+.f64 beta beta)) (*.f64 (*.f64 alpha alpha) 2))
(+.f64 (*.f64 (*.f64 alpha alpha) (+.f64 2 beta)) (*.f64 (*.f64 alpha alpha) beta))
(+.f64 (*.f64 (*.f64 alpha alpha) beta) (*.f64 (*.f64 alpha alpha) (+.f64 2 beta)))
(+.f64 (*.f64 2 (*.f64 alpha alpha)) (*.f64 (+.f64 beta beta) (*.f64 alpha alpha)))
(+.f64 (*.f64 (+.f64 beta beta) (*.f64 alpha alpha)) (*.f64 2 (*.f64 alpha alpha)))
(+.f64 (*.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (*.f64 beta (*.f64 alpha alpha)))
(+.f64 (*.f64 beta (*.f64 alpha alpha)) (*.f64 (+.f64 2 beta) (*.f64 alpha alpha)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)))) 1)
(/.f64 (*.f64 (*.f64 alpha alpha) (-.f64 4 (+.f64 beta beta))) (+.f64 2 (*.f64 -2 beta)))
(/.f64 (*.f64 (*.f64 alpha alpha) (+.f64 beta (+.f64 beta 8))) (+.f64 beta (+.f64 beta (-.f64 4 (+.f64 beta beta)))))
(/.f64 (*.f64 (-.f64 4 (+.f64 beta beta)) (*.f64 alpha alpha)) (+.f64 2 (*.f64 -2 beta)))
(/.f64 (*.f64 (+.f64 beta (+.f64 beta 8)) (*.f64 alpha alpha)) (+.f64 beta (+.f64 beta (-.f64 4 (+.f64 beta beta)))))
(pow.f64 (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)) 1)
(pow.f64 (*.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 alpha) alpha) (fma.f64 2 beta 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha))))
(exp.f64 (log.f64 (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha))) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha))))
(-.f64 (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)) (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4)) (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))) (/.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))) 2) (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))))
(-.f64 (+.f64 (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)) 0) (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(-.f64 (+.f64 (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)) (exp.f64 (log1p.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4)))))) 1)
(-.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))) (exp.f64 (log1p.f64 (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha))))) 1)
(*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))
(*.f64 (fma.f64 2 beta 2) (-.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))
(*.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) 1)
(*.f64 1 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))) (sqrt.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))) 2) (cbrt.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))))
(*.f64 (pow.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) 2) (/.f64 1 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))))
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)) 3) (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) 2) (*.f64 (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)) (*.f64 alpha (+.f64 beta (+.f64 beta 4)))))))
(*.f64 (+.f64 (*.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))) (sqrt.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))))) (-.f64 (*.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))) (sqrt.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))))))
(/.f64 1 (/.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) (pow.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) 2) (*.f64 (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)) (*.f64 alpha (+.f64 beta (+.f64 beta 4))))) (+.f64 (pow.f64 (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)) 3) (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))) 3))))
(/.f64 (pow.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) 2) (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)) 3) (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))) 3)) (+.f64 (pow.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) 2) (*.f64 (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)) (*.f64 alpha (+.f64 beta (+.f64 beta 4))))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) 2)) (neg.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)) 3) (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) 2) (*.f64 (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)) (*.f64 alpha (+.f64 beta (+.f64 beta 4)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))) 2) (*.f64 (pow.f64 (fma.f64 2 beta 2) 2) (pow.f64 alpha 4))) (-.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))) (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)) 3) (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4))) 3)) (+.f64 (pow.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) 2) (*.f64 (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)) (*.f64 alpha (+.f64 beta (+.f64 beta 4))))))
(pow.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) 1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) 2))
(log.f64 (exp.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))))
(log.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 alpha) alpha) (fma.f64 2 beta 2)) (pow.f64 (exp.f64 (+.f64 beta (+.f64 beta 4))) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))))
(exp.f64 (log.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))))
(fma.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha) (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(fma.f64 alpha (+.f64 beta (+.f64 beta 4)) (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)))
(fma.f64 (*.f64 alpha alpha) (fma.f64 2 beta 2) (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(fma.f64 (+.f64 beta (+.f64 beta 4)) alpha (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)))
(fma.f64 1 (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)) (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(fma.f64 1 (*.f64 alpha (+.f64 beta (+.f64 beta 4))) (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)))
(fma.f64 (*.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))) (*.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))) (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(fma.f64 (sqrt.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4)))) (sqrt.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4)))) (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha))) 2) (cbrt.f64 (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha))) (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4)))) 2) (cbrt.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4)))) (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)))
(fma.f64 (*.f64 (fma.f64 2 beta 2) alpha) alpha (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(fma.f64 (*.f64 alpha (+.f64 2 beta)) (fma.f64 2 beta 2) (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)))
Outputs
(*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha)) (pow.f64 alpha 3)))
(neg.f64 (/.f64 (fma.f64 2 (*.f64 alpha alpha) (*.f64 alpha -4)) (pow.f64 alpha 3)))
(/.f64 (neg.f64 (*.f64 alpha (+.f64 (*.f64 2 alpha) -4))) (pow.f64 alpha 3))
(/.f64 (neg.f64 (*.f64 alpha (+.f64 -4 (*.f64 2 alpha)))) (pow.f64 alpha 3))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha)) (pow.f64 alpha 3))) (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 alpha) (*.f64 2 alpha)) (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))))
(*.f64 -1 (+.f64 (/.f64 (fma.f64 2 (*.f64 alpha alpha) (*.f64 alpha -4)) (pow.f64 alpha 3)) (*.f64 beta (fma.f64 -1 (/.f64 (*.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 2 alpha)))))
(-.f64 (*.f64 beta (+.f64 (/.f64 (*.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 -2 alpha))) (/.f64 (*.f64 alpha (+.f64 (*.f64 2 alpha) -4)) (pow.f64 alpha 3)))
(-.f64 (*.f64 beta (+.f64 (/.f64 (*.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 -2 alpha))) (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 2 alpha))) (pow.f64 alpha 3)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 alpha) (*.f64 2 alpha)) (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 alpha alpha) (*.f64 alpha -4)) (pow.f64 alpha 3)) (fma.f64 -1 (*.f64 beta (fma.f64 -1 (/.f64 (*.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 2 alpha))) (*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))
(-.f64 (fma.f64 beta (+.f64 (/.f64 (*.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 -2 alpha)) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))) (/.f64 (*.f64 alpha (+.f64 (*.f64 2 alpha) -4)) (pow.f64 alpha 3)))
(-.f64 (fma.f64 beta (+.f64 (/.f64 (*.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 -2 alpha)) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))) (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 2 alpha))) (pow.f64 alpha 3)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 alpha) (*.f64 2 alpha)) (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 alpha alpha) (*.f64 alpha -4)) (pow.f64 alpha 3)) (fma.f64 -1 (*.f64 beta (fma.f64 -1 (/.f64 (*.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 2 alpha))) (*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))
(-.f64 (fma.f64 beta (+.f64 (/.f64 (*.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 -2 alpha)) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))) (/.f64 (*.f64 alpha (+.f64 (*.f64 2 alpha) -4)) (pow.f64 alpha 3)))
(-.f64 (fma.f64 beta (+.f64 (/.f64 (*.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 -2 alpha)) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))) (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 2 alpha))) (pow.f64 alpha 3)))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 alpha) (*.f64 2 alpha)) (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 -1 (*.f64 beta (fma.f64 -1 (/.f64 (*.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 2 alpha))) (*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(fma.f64 beta (+.f64 (/.f64 (*.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 -2 alpha)) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))
(+.f64 (*.f64 -1 (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 alpha) (*.f64 2 alpha)) (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 -1 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (fma.f64 -1 (*.f64 beta (fma.f64 -1 (/.f64 (*.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 2 alpha))) (*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))
(-.f64 (fma.f64 beta (+.f64 (/.f64 (*.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 -2 alpha)) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))))
(+.f64 (fma.f64 beta (+.f64 (/.f64 (*.f64 alpha 6) (pow.f64 alpha 3)) (/.f64 -2 alpha)) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))) (-.f64 (/.f64 -2 alpha) (/.f64 -4 (*.f64 alpha alpha))))
(+.f64 (*.f64 -1 (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 4 alpha) (*.f64 2 alpha)) (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
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(fma.f64 (fma.f64 2 beta 2) (*.f64 alpha (log.f64 (exp.f64 alpha))) (*.f64 alpha (+.f64 (*.f64 beta -2) -4)))
(fma.f64 (fma.f64 2 beta 2) (*.f64 alpha (log.f64 (exp.f64 alpha))) (*.f64 alpha (+.f64 -4 (*.f64 beta -2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))))))
(*.f64 (fma.f64 2 beta 2) (*.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(*.f64 alpha (*.f64 (+.f64 alpha (+.f64 2 beta)) (fma.f64 2 beta 2)))
(*.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha beta)) (fma.f64 2 beta 2)))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta)))) 3))
(*.f64 (fma.f64 2 beta 2) (*.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(*.f64 alpha (*.f64 (+.f64 alpha (+.f64 2 beta)) (fma.f64 2 beta 2)))
(*.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha beta)) (fma.f64 2 beta 2)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))))
(*.f64 (fma.f64 2 beta 2) (*.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(*.f64 alpha (*.f64 (+.f64 alpha (+.f64 2 beta)) (fma.f64 2 beta 2)))
(*.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha beta)) (fma.f64 2 beta 2)))
(exp.f64 (log.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))))
(*.f64 (fma.f64 2 beta 2) (*.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(*.f64 alpha (*.f64 (+.f64 alpha (+.f64 2 beta)) (fma.f64 2 beta 2)))
(*.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha beta)) (fma.f64 2 beta 2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))) 1))
(*.f64 (fma.f64 2 beta 2) (*.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(*.f64 alpha (*.f64 (+.f64 alpha (+.f64 2 beta)) (fma.f64 2 beta 2)))
(*.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha beta)) (fma.f64 2 beta 2)))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 2 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 2 beta))))))
(*.f64 (fma.f64 2 beta 2) (*.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(*.f64 alpha (*.f64 (+.f64 alpha (+.f64 2 beta)) (fma.f64 2 beta 2)))
(*.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha beta)) (fma.f64 2 beta 2)))
(fma.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha) (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(*.f64 alpha (+.f64 (fma.f64 2 beta 4) (*.f64 alpha (fma.f64 2 beta 2))))
(fma.f64 alpha (+.f64 beta (+.f64 beta 4)) (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)))
(fma.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha) (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(*.f64 alpha (+.f64 (fma.f64 2 beta 4) (*.f64 alpha (fma.f64 2 beta 2))))
(fma.f64 (*.f64 alpha alpha) (fma.f64 2 beta 2) (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(fma.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha) (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(*.f64 alpha (+.f64 (fma.f64 2 beta 4) (*.f64 alpha (fma.f64 2 beta 2))))
(fma.f64 (+.f64 beta (+.f64 beta 4)) alpha (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)))
(fma.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha) (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(*.f64 alpha (+.f64 (fma.f64 2 beta 4) (*.f64 alpha (fma.f64 2 beta 2))))
(fma.f64 1 (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)) (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(fma.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha) (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(*.f64 alpha (+.f64 (fma.f64 2 beta 4) (*.f64 alpha (fma.f64 2 beta 2))))
(fma.f64 1 (*.f64 alpha (+.f64 beta (+.f64 beta 4))) (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)))
(fma.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha) (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(*.f64 alpha (+.f64 (fma.f64 2 beta 4) (*.f64 alpha (fma.f64 2 beta 2))))
(fma.f64 (*.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))) (*.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))) (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(+.f64 (pow.f64 (*.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))) 2) (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(+.f64 (*.f64 alpha (fma.f64 2 beta 4)) (pow.f64 (*.f64 alpha (sqrt.f64 (fma.f64 2 beta 2))) 2))
(fma.f64 (sqrt.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4)))) (sqrt.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4)))) (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)))
(fma.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha) (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(*.f64 alpha (+.f64 (fma.f64 2 beta 4) (*.f64 alpha (fma.f64 2 beta 2))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha))) 2) (cbrt.f64 (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha))) (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(fma.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha) (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(*.f64 alpha (+.f64 (fma.f64 2 beta 4) (*.f64 alpha (fma.f64 2 beta 2))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4)))) 2) (cbrt.f64 (*.f64 alpha (+.f64 beta (+.f64 beta 4)))) (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)))
(fma.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha) (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(*.f64 alpha (+.f64 (fma.f64 2 beta 4) (*.f64 alpha (fma.f64 2 beta 2))))
(fma.f64 (*.f64 (fma.f64 2 beta 2) alpha) alpha (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(fma.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha) (*.f64 alpha (+.f64 beta (+.f64 beta 4))))
(*.f64 alpha (+.f64 (fma.f64 2 beta 4) (*.f64 alpha (fma.f64 2 beta 2))))
(fma.f64 (*.f64 alpha (+.f64 2 beta)) (fma.f64 2 beta 2) (*.f64 (fma.f64 2 beta 2) (*.f64 alpha alpha)))
(*.f64 (fma.f64 2 beta 2) (*.f64 alpha (+.f64 alpha (+.f64 2 beta))))
(*.f64 alpha (*.f64 (+.f64 alpha (+.f64 2 beta)) (fma.f64 2 beta 2)))
(*.f64 alpha (*.f64 (+.f64 2 (+.f64 alpha beta)) (fma.f64 2 beta 2)))

eval944.0ms (6.9%)

Compiler

Compiled 38908 to 25464 computations (34.6% saved)

prune550.0ms (4%)

Pruning

21 alts after pruning (12 fresh and 9 done)

PrunedKeptTotal
New131931322
Fresh1910
Picked101
Done099
Total1321211342
Error
0.0b
Counts
1342 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
13.3b
(/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) 2)
13.6b
(/.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) 2)
29.6b
(/.f64 (/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) 2)
48.4b
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
13.4b
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2)
50.4b
(/.f64 (/.f64 2 alpha) 2)
45.7b
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
28.6b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
13.3b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
14.5b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
13.3b
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
14.5b
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) beta) 1) 2)
43.2b
(/.f64 (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2)
30.7b
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
59.5b
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
58.2b
(/.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha alpha)) (*.f64 alpha -4)) (*.f64 (neg.f64 alpha) (*.f64 alpha alpha)))) 2)
61.4b
(/.f64 (*.f64 -1 (-.f64 (*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (*.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha)))))) 2)
50.6b
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 4 (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2)
49.4b
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 (/.f64 (+.f64 2 beta) (neg.f64 alpha)) (neg.f64 (/.f64 (fma.f64 2 beta 2) alpha))))) 2)
40.5b
(/.f64 2 2)
51.8b
(*.f64 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha)) -1/2)
Compiler

Compiled 637 to 467 computations (26.7% saved)

localize60.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)
0.1b
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)
0.9b
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
2.2b
(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
Compiler

Compiled 172 to 100 computations (41.9% saved)

series29.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
12.0ms
beta
@0
(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
2.0ms
alpha
@-inf
(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
2.0ms
alpha
@inf
(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
2.0ms
alpha
@0
(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
1.0ms
beta
@inf
(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))

rewrite131.0ms (1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
015130
1361130
25173130
Stop Event
node limit
Counts
4 → 229
Calls
Call 1
Inputs
(+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))
(-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3))) (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 6) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3/2)) (hypot.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 6)) (/.f64 1 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 9)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 6) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 6)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 9)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 6) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 9))) (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 6) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 6))) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3)) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 9))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 9)))) (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 6) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 6))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 6)))) (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3)) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 6) 1) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 6))) (neg.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 9))) (neg.f64 (+.f64 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simplify575.0ms (4.2%)

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

Useful iterations: 1 (0.0ms)

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

localize7.0ms (0%)

Compiler

Compiled 20 to 10 computations (50% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite129.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
118032
2243132
Stop Event
node limit
Counts
2 → 139
Calls
Call 1
Inputs
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(/.f64 alpha (+.f64 alpha 2))
Outputs
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simplify100.0ms (0.7%)

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

Useful iterations: 2 (0.0ms)

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 39 to 22 computations (43.6% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite86.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1468×associate-*l/
940×*-commutative
658×associate-/r*
614×distribute-lft-in
596×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
120232
2278732
Stop Event
node limit
Counts
2 → 192
Calls
Call 1
Inputs
(*.f64 (/.f64 1 beta) (-.f64 beta alpha))
(+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1)
Outputs
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simplify126.0ms (0.9%)

Algorithm
egg-herbie
Rules
1112×associate-+r-
954×associate-/l*
754×+-commutative
574×times-frac
548×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05258386
115737738
274257724
Stop Event
node limit
Counts
240 → 307
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 alpha beta))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
1
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)
1
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)
1
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)
(*.f64 -1 (/.f64 alpha beta))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(*.f64 -1 (/.f64 alpha beta))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(*.f64 -1 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
2
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)
2
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)
2
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)
(*.f64 -1 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(*.f64 -1 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) beta) -1))
(+.f64 (/.f64 (-.f64 beta alpha) beta) 0)
(+.f64 (/.f64 (-.f64 beta alpha) beta) (*.f64 (/.f64 1 beta) (fma.f64 (neg.f64 alpha) 1 alpha)))
(+.f64 (/.f64 (-.f64 beta alpha) beta) (*.f64 (/.f64 1 beta) (fma.f64 (neg.f64 (sqrt.f64 alpha)) (sqrt.f64 alpha) alpha)))
(+.f64 (/.f64 (-.f64 beta alpha) beta) (*.f64 (/.f64 1 beta) (fma.f64 (neg.f64 (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2) alpha)))
(+.f64 (/.f64 (-.f64 beta alpha) beta) (*.f64 (fma.f64 (neg.f64 alpha) 1 alpha) (/.f64 1 beta)))
(+.f64 (/.f64 (-.f64 beta alpha) beta) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 alpha)) (sqrt.f64 alpha) alpha) (/.f64 1 beta)))
(+.f64 (/.f64 (-.f64 beta alpha) beta) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2) alpha) (/.f64 1 beta)))
(+.f64 (/.f64 beta beta) (/.f64 (neg.f64 alpha) beta))
(+.f64 (/.f64 beta beta) (*.f64 (/.f64 (neg.f64 alpha) beta) 1))
(+.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 beta beta))
(+.f64 (*.f64 1 (/.f64 beta beta)) (*.f64 1 (/.f64 (neg.f64 alpha) beta)))
(-.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) beta)) 1)
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) beta)))) 2)
(-.f64 (/.f64 beta beta) (/.f64 alpha beta))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2) (+.f64 (/.f64 (-.f64 beta alpha) beta) -1)) (+.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) beta) -1)) 1))
(/.f64 1 (/.f64 beta (-.f64 beta alpha)))
(/.f64 1 (/.f64 (*.f64 beta (+.f64 beta alpha)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(/.f64 1 (/.f64 (*.f64 beta (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))))
(/.f64 (/.f64 1 beta) (/.f64 1 (-.f64 beta alpha)))
(/.f64 (-.f64 beta alpha) beta)
(/.f64 (/.f64 (-.f64 beta alpha) beta) 1)
(/.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 beta (sqrt.f64 (-.f64 beta alpha))))
(/.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 beta (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)))
(/.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 (/.f64 beta (sqrt.f64 (-.f64 beta alpha))) (cbrt.f64 (sqrt.f64 (-.f64 beta alpha)))))
(/.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 (/.f64 beta (cbrt.f64 (-.f64 beta alpha))) (cbrt.f64 (-.f64 beta alpha))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 beta (cbrt.f64 (-.f64 beta alpha))))
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 beta (+.f64 beta alpha)))
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 beta (/.f64 1 (+.f64 beta alpha))))
(/.f64 (+.f64 beta alpha) (/.f64 (*.f64 beta (+.f64 beta alpha)) (-.f64 beta alpha)))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 beta (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 beta (/.f64 1 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))))
(/.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (/.f64 (*.f64 beta (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) (-.f64 beta alpha)))
(/.f64 -1 (/.f64 (neg.f64 beta) (-.f64 beta alpha)))
(/.f64 -1 (/.f64 (*.f64 (+.f64 beta alpha) (neg.f64 beta)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(/.f64 -1 (/.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (neg.f64 beta)) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (/.f64 (*.f64 beta (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) (sqrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 (/.f64 beta (sqrt.f64 (-.f64 beta alpha))) (sqrt.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 (*.f64 beta (+.f64 beta alpha)) (sqrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (*.f64 (/.f64 beta (sqrt.f64 (-.f64 beta alpha))) (sqrt.f64 (+.f64 beta alpha))))
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 beta alpha))) (/.f64 (/.f64 beta (sqrt.f64 (-.f64 beta alpha))) (sqrt.f64 (sqrt.f64 (-.f64 beta alpha)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (/.f64 (/.f64 beta (sqrt.f64 (-.f64 beta alpha))) (sqrt.f64 (cbrt.f64 (-.f64 beta alpha)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (/.f64 (/.f64 beta (cbrt.f64 (-.f64 beta alpha))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (/.f64 (*.f64 beta (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (/.f64 (*.f64 beta (+.f64 beta alpha)) (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2))) (/.f64 (/.f64 beta (cbrt.f64 (-.f64 beta alpha))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2))))
(/.f64 (*.f64 (-.f64 beta alpha) (cbrt.f64 (pow.f64 beta -2))) (cbrt.f64 beta))
(/.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) beta) (+.f64 beta alpha))
(/.f64 (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) beta) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))
(/.f64 (neg.f64 (-.f64 beta alpha)) (neg.f64 beta))
(/.f64 (/.f64 (-.f64 beta alpha) (sqrt.f64 beta)) (sqrt.f64 beta))
(/.f64 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta))
(/.f64 (+.f64 (sqrt.f64 alpha) (sqrt.f64 beta)) (/.f64 beta (-.f64 (sqrt.f64 beta) (sqrt.f64 alpha))))
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 (neg.f64 alpha) (neg.f64 alpha))) (*.f64 beta (-.f64 beta (neg.f64 alpha))))
(/.f64 (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha))) (*.f64 (*.f64 beta (+.f64 beta alpha)) (+.f64 (*.f64 alpha alpha) (*.f64 beta beta))))
(/.f64 (-.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (*.f64 (pow.f64 alpha 3) (pow.f64 alpha 3))) (*.f64 (*.f64 beta (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (neg.f64 alpha) 3)) (*.f64 beta (+.f64 (*.f64 beta beta) (*.f64 (neg.f64 alpha) (-.f64 (neg.f64 alpha) beta)))))
(/.f64 (-.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 alpha alpha) 3)) (*.f64 (*.f64 beta (+.f64 beta alpha)) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (*.f64 alpha alpha) (+.f64 (*.f64 alpha alpha) (*.f64 beta beta))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 beta 3) 3) (pow.f64 (pow.f64 alpha 3) 3)) (*.f64 (*.f64 beta (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) (+.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (*.f64 (pow.f64 alpha 3) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3))))))
(/.f64 (/.f64 (-.f64 beta alpha) (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2))
(/.f64 (*.f64 (neg.f64 (+.f64 beta alpha)) (-.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (neg.f64 beta)))
(/.f64 (*.f64 (neg.f64 (+.f64 beta alpha)) (-.f64 beta alpha)) (*.f64 beta (neg.f64 (+.f64 beta alpha))))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (neg.f64 beta)))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 beta (neg.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 beta alpha)) (sqrt.f64 (/.f64 (-.f64 beta alpha) beta))) (sqrt.f64 beta))
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(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) beta)) 3))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) beta))))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) beta)))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) beta))))
(fma.f64 1 (/.f64 (-.f64 beta alpha) beta) 1)
(fma.f64 (/.f64 1 beta) (-.f64 beta alpha) 1)
(fma.f64 (-.f64 beta alpha) (/.f64 1 beta) 1)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) beta)) (sqrt.f64 (/.f64 (-.f64 beta alpha) beta)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) beta)) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) beta)) 1)
Outputs
(*.f64 -1 (/.f64 alpha beta))
(/.f64 (neg.f64 alpha) beta)
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
1
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
1
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
1
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(*.f64 -1 (/.f64 alpha beta))
(/.f64 (neg.f64 alpha) beta)
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(*.f64 -1 (/.f64 alpha beta))
(/.f64 (neg.f64 alpha) beta)
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(+.f64 1 (*.f64 -1 (/.f64 alpha beta)))
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(*.f64 -1 (/.f64 alpha beta))
(/.f64 (neg.f64 alpha) beta)
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
2
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)
(-.f64 2 (/.f64 alpha beta))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)
(-.f64 2 (/.f64 alpha beta))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)
(-.f64 2 (/.f64 alpha beta))
2
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)
(-.f64 2 (/.f64 alpha beta))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)
(-.f64 2 (/.f64 alpha beta))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)
(-.f64 2 (/.f64 alpha beta))
2
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)
(-.f64 2 (/.f64 alpha beta))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)
(-.f64 2 (/.f64 alpha beta))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)
(-.f64 2 (/.f64 alpha beta))
(*.f64 -1 (/.f64 alpha beta))
(/.f64 (neg.f64 alpha) beta)
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(*.f64 -1 (/.f64 alpha beta))
(/.f64 (neg.f64 alpha) beta)
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(+.f64 2 (*.f64 -1 (/.f64 alpha beta)))
(-.f64 2 (/.f64 alpha beta))
(+.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) beta) -1))
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(+.f64 (/.f64 (-.f64 beta alpha) beta) 0)
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(+.f64 (/.f64 (-.f64 beta alpha) beta) (*.f64 (/.f64 1 beta) (fma.f64 (neg.f64 alpha) 1 alpha)))
(+.f64 (-.f64 1 (/.f64 alpha beta)) (/.f64 (+.f64 alpha (neg.f64 alpha)) beta))
(+.f64 (/.f64 (-.f64 beta alpha) beta) (*.f64 (/.f64 1 beta) (fma.f64 (neg.f64 (sqrt.f64 alpha)) (sqrt.f64 alpha) alpha)))
(+.f64 (-.f64 1 (/.f64 alpha beta)) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 alpha)) (sqrt.f64 alpha) alpha) beta))
(+.f64 (/.f64 (-.f64 beta alpha) beta) (*.f64 (/.f64 1 beta) (fma.f64 (neg.f64 (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2) alpha)))
(+.f64 (-.f64 1 (/.f64 alpha beta)) (/.f64 (fma.f64 (neg.f64 (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2) alpha) beta))
(+.f64 (/.f64 (-.f64 beta alpha) beta) (*.f64 (fma.f64 (neg.f64 alpha) 1 alpha) (/.f64 1 beta)))
(+.f64 (/.f64 (-.f64 beta alpha) beta) (*.f64 (/.f64 1 beta) (fma.f64 (neg.f64 alpha) 1 alpha)))
(+.f64 (-.f64 1 (/.f64 alpha beta)) (/.f64 (+.f64 alpha (neg.f64 alpha)) beta))
(+.f64 (/.f64 (-.f64 beta alpha) beta) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 alpha)) (sqrt.f64 alpha) alpha) (/.f64 1 beta)))
(+.f64 (/.f64 (-.f64 beta alpha) beta) (*.f64 (/.f64 1 beta) (fma.f64 (neg.f64 (sqrt.f64 alpha)) (sqrt.f64 alpha) alpha)))
(+.f64 (-.f64 1 (/.f64 alpha beta)) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 alpha)) (sqrt.f64 alpha) alpha) beta))
(+.f64 (/.f64 (-.f64 beta alpha) beta) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2) alpha) (/.f64 1 beta)))
(+.f64 (/.f64 (-.f64 beta alpha) beta) (*.f64 (/.f64 1 beta) (fma.f64 (neg.f64 (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2) alpha)))
(+.f64 (-.f64 1 (/.f64 alpha beta)) (/.f64 (fma.f64 (neg.f64 (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2) alpha) beta))
(+.f64 (/.f64 beta beta) (/.f64 (neg.f64 alpha) beta))
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(+.f64 (/.f64 beta beta) (*.f64 (/.f64 (neg.f64 alpha) beta) 1))
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(+.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 beta beta))
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(+.f64 (*.f64 1 (/.f64 beta beta)) (*.f64 1 (/.f64 (neg.f64 alpha) beta)))
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(-.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) beta)) 1)
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) beta)))) 2)
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(-.f64 (/.f64 beta beta) (/.f64 alpha beta))
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2) (+.f64 (/.f64 (-.f64 beta alpha) beta) -1)) (+.f64 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) beta) -1)) 1))
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(/.f64 1 (/.f64 beta (-.f64 beta alpha)))
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(/.f64 1 (/.f64 (*.f64 beta (+.f64 beta alpha)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(/.f64 1 (/.f64 (*.f64 beta (+.f64 alpha beta)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(/.f64 (-.f64 beta (/.f64 alpha (/.f64 beta alpha))) (+.f64 alpha beta))
(/.f64 1 (/.f64 (*.f64 beta (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))))
(*.f64 (/.f64 1 (*.f64 beta (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))))) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(/.f64 (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) beta) (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))))
(/.f64 (/.f64 1 beta) (/.f64 1 (-.f64 beta alpha)))
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(/.f64 (/.f64 (-.f64 beta alpha) beta) 1)
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(/.f64 (sqrt.f64 (-.f64 beta alpha)) (/.f64 beta (sqrt.f64 (-.f64 beta alpha))))
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(/.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 beta (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)))
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(/.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 (/.f64 beta (sqrt.f64 (-.f64 beta alpha))) (cbrt.f64 (sqrt.f64 (-.f64 beta alpha)))))
(/.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 beta (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 beta alpha))) (sqrt.f64 (-.f64 beta alpha)))))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 beta alpha))) (*.f64 (/.f64 (cbrt.f64 (-.f64 beta alpha)) beta) (sqrt.f64 (-.f64 beta alpha))))
(/.f64 (cbrt.f64 (-.f64 beta alpha)) (/.f64 (/.f64 beta (cbrt.f64 (-.f64 beta alpha))) (cbrt.f64 (-.f64 beta alpha))))
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (/.f64 beta (cbrt.f64 (-.f64 beta alpha))))
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 beta (+.f64 beta alpha)))
(/.f64 1 (/.f64 (*.f64 beta (+.f64 alpha beta)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(/.f64 (-.f64 beta (/.f64 alpha (/.f64 beta alpha))) (+.f64 alpha beta))
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 beta (/.f64 1 (+.f64 beta alpha))))
(/.f64 1 (/.f64 (*.f64 beta (+.f64 alpha beta)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(/.f64 (-.f64 beta (/.f64 alpha (/.f64 beta alpha))) (+.f64 alpha beta))
(/.f64 (+.f64 beta alpha) (/.f64 (*.f64 beta (+.f64 beta alpha)) (-.f64 beta alpha)))
(/.f64 1 (/.f64 (*.f64 beta (+.f64 alpha beta)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(/.f64 (-.f64 beta (/.f64 alpha (/.f64 beta alpha))) (+.f64 alpha beta))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (*.f64 beta (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (*.f64 beta (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))))) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(/.f64 (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) beta) (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (/.f64 beta (/.f64 1 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))))
(*.f64 (/.f64 1 (*.f64 beta (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))))) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(/.f64 (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) beta) (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))))
(/.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (/.f64 (*.f64 beta (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) (-.f64 beta alpha)))
(*.f64 (/.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))) (*.f64 beta (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))))) (-.f64 beta alpha))
(/.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))) (*.f64 (/.f64 beta (-.f64 beta alpha)) (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta)))))
(/.f64 -1 (/.f64 (neg.f64 beta) (-.f64 beta alpha)))
(/.f64 (-.f64 beta alpha) beta)
(-.f64 1 (/.f64 alpha beta))
(/.f64 -1 (/.f64 (*.f64 (+.f64 beta alpha) (neg.f64 beta)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(/.f64 1 (/.f64 (*.f64 beta (+.f64 alpha beta)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(/.f64 (-.f64 beta (/.f64 alpha (/.f64 beta alpha))) (+.f64 alpha beta))
(/.f64 -1 (/.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (neg.f64 beta)) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))))
(*.f64 (/.f64 1 (*.f64 beta (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))))) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))
(/.f64 (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) beta) (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (/.f64 (*.f64 beta (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) (sqrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 beta (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))))) (sqrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 beta (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 (/.f64 beta (sqrt.f64 (-.f64 beta alpha))) (sqrt.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 (/.f64 beta (sqrt.f64 (-.f64 beta alpha))) (sqrt.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (sqrt.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))))) (/.f64 (sqrt.f64 (-.f64 beta alpha)) beta))
(/.f64 (sqrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 (*.f64 beta (+.f64 beta alpha)) (sqrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (*.f64 beta (+.f64 alpha beta))) (sqrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (sqrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (*.f64 beta (+.f64 alpha beta)))
(/.f64 (sqrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (*.f64 (/.f64 beta (sqrt.f64 (-.f64 beta alpha))) (sqrt.f64 (+.f64 beta alpha))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (*.f64 (/.f64 beta (sqrt.f64 (-.f64 beta alpha))) (sqrt.f64 (+.f64 alpha beta))))
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 beta alpha))) (/.f64 (/.f64 beta (sqrt.f64 (-.f64 beta alpha))) (sqrt.f64 (sqrt.f64 (-.f64 beta alpha)))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 beta alpha))) (*.f64 (/.f64 (sqrt.f64 (sqrt.f64 (-.f64 beta alpha))) beta) (sqrt.f64 (-.f64 beta alpha))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (/.f64 (/.f64 beta (sqrt.f64 (-.f64 beta alpha))) (sqrt.f64 (cbrt.f64 (-.f64 beta alpha)))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (/.f64 beta (sqrt.f64 (-.f64 beta alpha)))) (sqrt.f64 (cbrt.f64 (-.f64 beta alpha))))
(*.f64 (sqrt.f64 (cbrt.f64 (-.f64 beta alpha))) (*.f64 (/.f64 (fabs.f64 (cbrt.f64 (-.f64 beta alpha))) beta) (sqrt.f64 (-.f64 beta alpha))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (/.f64 (/.f64 beta (cbrt.f64 (-.f64 beta alpha))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (/.f64 beta (cbrt.f64 (-.f64 beta alpha)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 beta alpha))) (*.f64 (/.f64 (fabs.f64 (cbrt.f64 (-.f64 beta alpha))) beta) (cbrt.f64 (-.f64 beta alpha))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (/.f64 (*.f64 beta (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (*.f64 beta (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta))))) (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) beta)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (/.f64 (*.f64 beta (+.f64 beta alpha)) (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (*.f64 beta (+.f64 alpha beta))) (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(*.f64 (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (*.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (+.f64 alpha beta)) (/.f64 (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) beta)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2))) (/.f64 (/.f64 beta (cbrt.f64 (-.f64 beta alpha))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2))))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (/.f64 (/.f64 beta (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (-.f64 beta alpha)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (/.f64 (/.f64 beta (cbrt.f64 (-.f64 beta alpha))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)))))
(/.f64 (*.f64 (-.f64 beta alpha) (cbrt.f64 (pow.f64 beta -2))) (cbrt.f64 beta))
(*.f64 (/.f64 (-.f64 beta alpha) (cbrt.f64 beta)) (cbrt.f64 (pow.f64 beta -2)))
(/.f64 (/.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)) beta) (+.f64 beta alpha))
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(-.f64 2 (/.f64 alpha beta))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 3))) 1) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) beta)))))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) beta)))))
(/.f64 (-.f64 -1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3)) (-.f64 (neg.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2)) (+.f64 0 (/.f64 alpha beta))))
(/.f64 (-.f64 -1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3)) (-.f64 (/.f64 (neg.f64 alpha) beta) (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2) -1)) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) beta)))) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) -1)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 2 (/.f64 alpha beta))) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2)))) (sqrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) beta))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 2 (/.f64 alpha beta))) (sqrt.f64 (+.f64 -1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2)))) (sqrt.f64 (/.f64 (neg.f64 alpha) beta)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 3))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) beta)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) beta)))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 3))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) beta)))) (sqrt.f64 (-.f64 2 (/.f64 alpha beta)))))
(/.f64 (sqrt.f64 (-.f64 2 (/.f64 alpha beta))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (+.f64 0 (/.f64 alpha beta)))) (hypot.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3/2))))
(/.f64 (sqrt.f64 (-.f64 2 (/.f64 alpha beta))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (+.f64 (/.f64 alpha beta) 0))) (hypot.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3/2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) beta))) 2)) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) -1)))
(/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2))) (/.f64 (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) beta))) (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 alpha beta))) 2)))
(/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2))) (/.f64 (cbrt.f64 (/.f64 (neg.f64 alpha) beta)) (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 alpha beta))) 2)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) beta))) 2)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) beta)))))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 3))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) beta)))) (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 alpha beta))) 2)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (+.f64 0 (/.f64 alpha beta))))) (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 alpha beta))) 2))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (+.f64 (/.f64 alpha beta) 0)))) (pow.f64 (cbrt.f64 (-.f64 2 (/.f64 alpha beta))) 2))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2) (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2)) 1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) beta) -1))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2)))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 4) -1) (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) beta)) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2))))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 4)) (*.f64 (/.f64 (neg.f64 alpha) beta) (+.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2) 3) 1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) beta) -1))) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2) (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2)) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2) 3) -1) (*.f64 (+.f64 -1 (/.f64 (-.f64 beta alpha) beta)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 4) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2)))))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 6)) (*.f64 (/.f64 (neg.f64 alpha) beta) (+.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 4) (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2)) 1)))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 6)) (*.f64 (/.f64 (neg.f64 alpha) beta) (+.f64 1 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (pow.f64 (-.f64 1 (/.f64 alpha beta)) 4)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 3) (pow.f64 (/.f64 (-.f64 beta alpha) beta) 3)) 1) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) beta))))) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 3) 1))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 6) -1) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) beta))) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 3) -1)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 6)) (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (+.f64 0 (/.f64 alpha beta)))) (+.f64 -1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 6)) (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (+.f64 (/.f64 alpha beta) 0))) (+.f64 -1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) beta))))) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 3) (pow.f64 (/.f64 (-.f64 beta alpha) beta) 3)) (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 3))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) beta))) (+.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 3)) (pow.f64 (/.f64 (-.f64 beta alpha) beta) 6))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3) 3)) (*.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (+.f64 0 (/.f64 alpha beta))) (+.f64 (-.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3)) (pow.f64 (-.f64 1 (/.f64 alpha beta)) 6))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3) 3)) (*.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (+.f64 (/.f64 alpha beta) 0)) (+.f64 (-.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3)) (pow.f64 (-.f64 1 (/.f64 alpha beta)) 6))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2)) 1) (-.f64 1 (/.f64 (-.f64 beta alpha) beta)))
(-.f64 2 (/.f64 alpha beta))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2) -1) 1) (+.f64 (/.f64 (-.f64 beta alpha) beta) -1))
(-.f64 2 (/.f64 alpha beta))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2) -1) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) -1))) (sqrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) -1)))
(-.f64 2 (/.f64 alpha beta))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2) -1) (*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) -1)) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) -1)))) (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) -1)))
(-.f64 2 (/.f64 alpha beta))
(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2) -1) (+.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) beta)))) (-.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) beta)) 1))
(-.f64 2 (/.f64 alpha beta))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 3)) 1) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) beta))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) beta)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3)) (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (+.f64 0 (/.f64 alpha beta))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3)) (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (+.f64 (/.f64 alpha beta) 0)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 3)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) beta))))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) beta)))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) beta)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3)) (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (+.f64 0 (/.f64 alpha beta))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3)) (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (+.f64 (/.f64 alpha beta) 0)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) beta)))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) beta)))))) (cbrt.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) beta)))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) beta)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3)) (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (+.f64 0 (/.f64 alpha beta))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 3)) (+.f64 (pow.f64 (-.f64 1 (/.f64 alpha beta)) 2) (+.f64 (/.f64 alpha beta) 0)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2)) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) beta)))) (sqrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) beta))))
(-.f64 2 (/.f64 alpha beta))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) beta) 2)) (*.f64 (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) beta))) (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) beta))))) (cbrt.f64 (-.f64 1 (/.f64 (-.f64 beta alpha) beta))))
(-.f64 2 (/.f64 alpha beta))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) beta)) 1)
(-.f64 2 (/.f64 alpha beta))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) beta))) 2)
(-.f64 2 (/.f64 alpha beta))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) beta))) 3)
(-.f64 2 (/.f64 alpha beta))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) beta)) 3) 1/3)
(-.f64 2 (/.f64 alpha beta))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) beta)) 2))
(sqrt.f64 (pow.f64 (-.f64 2 (/.f64 alpha beta)) 2))
(fabs.f64 (-.f64 2 (/.f64 alpha beta)))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) beta))))
(-.f64 2 (/.f64 alpha beta))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) beta)))))
(-.f64 2 (/.f64 alpha beta))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) beta)) 3))
(-.f64 2 (/.f64 alpha beta))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) beta))))
(-.f64 2 (/.f64 alpha beta))
(exp.f64 (log1p.f64 (/.f64 (-.f64 beta alpha) beta)))
(exp.f64 (log1p.f64 (-.f64 1 (/.f64 alpha beta))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) beta))))
(-.f64 2 (/.f64 alpha beta))
(fma.f64 1 (/.f64 (-.f64 beta alpha) beta) 1)
(-.f64 2 (/.f64 alpha beta))
(fma.f64 (/.f64 1 beta) (-.f64 beta alpha) 1)
(-.f64 2 (/.f64 alpha beta))
(fma.f64 (-.f64 beta alpha) (/.f64 1 beta) 1)
(-.f64 2 (/.f64 alpha beta))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 beta alpha) beta)) (sqrt.f64 (/.f64 (-.f64 beta alpha) beta)) 1)
(-.f64 2 (/.f64 alpha beta))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 beta alpha) beta)) 2) (cbrt.f64 (/.f64 (-.f64 beta alpha) beta)) 1)
(-.f64 2 (/.f64 alpha beta))

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (neg.f64 alpha) (*.f64 alpha alpha))
0.2b
(/.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha alpha)) (*.f64 alpha -4)) (*.f64 (neg.f64 alpha) (*.f64 alpha alpha)))) 2)
3.7b
(*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha alpha))
18.2b
(/.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha alpha)) (*.f64 alpha -4)) (*.f64 (neg.f64 alpha) (*.f64 alpha alpha)))
Compiler

Compiled 117 to 49 computations (58.1% saved)

series5.0ms (0%)

Counts
3 → 60
Calls

15 calls:

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

rewrite107.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1084×associate-/r/
442×add-sqr-sqrt
424×associate-+l+
424×pow1
424×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019137
143691
2654691
Stop Event
node limit
Counts
3 → 130
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha alpha)) (*.f64 alpha -4)) (*.f64 (neg.f64 alpha) (*.f64 alpha alpha)))
(/.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha alpha)) (*.f64 alpha -4)) (*.f64 (neg.f64 alpha) (*.f64 alpha alpha)))) 2)
(*.f64 (neg.f64 alpha) (*.f64 alpha alpha))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 alpha 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (pow.f64 alpha 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (pow.f64 alpha 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 alpha 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 alpha 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 alpha 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 alpha (sqrt.f64 alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 alpha 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 alpha 3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 alpha 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 alpha 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 alpha 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 alpha 3)))))))

simplify143.0ms (1%)

Algorithm
egg-herbie
Rules
1122×distribute-lft-neg-in
1044×distribute-rgt-neg-in
614×associate-*l*
592×associate-*r*
506×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03438476
110747452
255287280
Stop Event
node limit
Counts
190 → 229
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha)) (pow.f64 alpha 3)))
(+.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha)) (pow.f64 alpha 3))))
(+.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha)) (pow.f64 alpha 3))))
(+.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha)) (pow.f64 alpha 3))))
(*.f64 -2 (/.f64 beta alpha))
(+.f64 (*.f64 -1 (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 beta alpha)))
(+.f64 (*.f64 -1 (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 beta alpha)))
(+.f64 (*.f64 -1 (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 beta alpha)))
(*.f64 -2 (/.f64 beta alpha))
(+.f64 (*.f64 -1 (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 beta alpha)))
(+.f64 (*.f64 -1 (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 beta alpha)))
(+.f64 (*.f64 -1 (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 beta alpha)))
(/.f64 4 (pow.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 1/2 (/.f64 (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha)) (pow.f64 alpha 3)))
(+.f64 (/.f64 beta alpha) (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha)) (pow.f64 alpha 3))))
(+.f64 (/.f64 beta alpha) (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha)) (pow.f64 alpha 3))))
(+.f64 (/.f64 beta alpha) (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha)) (pow.f64 alpha 3))))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (*.f64 1/2 (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))))
(+.f64 (/.f64 beta alpha) (*.f64 1/2 (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))))
(+.f64 (/.f64 beta alpha) (*.f64 1/2 (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (*.f64 1/2 (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))))
(+.f64 (/.f64 beta alpha) (*.f64 1/2 (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))))
(+.f64 (/.f64 beta alpha) (*.f64 1/2 (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))))
(/.f64 -2 (pow.f64 alpha 2))
(-.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 2 (/.f64 1 (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 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 2 (/.f64 1 (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 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 -1 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(+.f64 0 (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 alpha 3)))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 alpha 3))))) 1)
(-.f64 0 (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 alpha 3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 alpha 3)))) 1)
(*.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) (/.f64 -1 (pow.f64 alpha 3)))
(*.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) (*.f64 (/.f64 -1 (pow.f64 alpha 3)) -1))
(*.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) (neg.f64 (/.f64 -1 (pow.f64 alpha 3))))
(*.f64 (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 alpha 3)) -1)
(*.f64 (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 alpha 3)) 1)
(*.f64 -1 (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 alpha 3)))
(*.f64 1 (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 alpha 3)))
(*.f64 (sqrt.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha)))) (*.f64 (sqrt.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha)))) (/.f64 -1 (pow.f64 alpha 3))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 alpha 3))) (sqrt.f64 (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 alpha 3))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 alpha 3))) (*.f64 (sqrt.f64 (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 alpha 3))) -1))
(*.f64 (sqrt.f64 (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 alpha 3))) (neg.f64 (sqrt.f64 (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 alpha 3)))))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha)))) alpha) 2) (/.f64 (cbrt.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha)))) alpha))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha)))) alpha) 2) (neg.f64 (/.f64 (cbrt.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha)))) alpha)))
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(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 alpha 3)) 1/2)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 alpha 3)) 1/2)))
(+.f64 0 (pow.f64 alpha 3))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (pow.f64 alpha 3)))) 1)
(-.f64 0 (pow.f64 alpha 3))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 alpha 3))) 1)
(pow.f64 alpha 3)
(pow.f64 (pow.f64 alpha 3) 1)
(pow.f64 (*.f64 alpha (sqrt.f64 alpha)) 2)
(pow.f64 (pow.f64 (pow.f64 alpha 3) 3) 1/3)
(neg.f64 (pow.f64 alpha 3))
(sqrt.f64 (pow.f64 (pow.f64 alpha 3) 2))
(log.f64 (exp.f64 (pow.f64 alpha 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 alpha 3))))
(cbrt.f64 (pow.f64 (pow.f64 alpha 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 alpha 3)))
(exp.f64 (log.f64 (pow.f64 alpha 3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 alpha 3)) 1))
(log1p.f64 (expm1.f64 (pow.f64 alpha 3)))
Outputs
(*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha)) (pow.f64 alpha 3)))
(neg.f64 (/.f64 (fma.f64 2 (*.f64 alpha alpha) (*.f64 alpha -4)) (pow.f64 alpha 3)))
(/.f64 (neg.f64 (fma.f64 2 (*.f64 alpha alpha) (*.f64 alpha -4))) (pow.f64 alpha 3))
(/.f64 (neg.f64 (*.f64 alpha (+.f64 -4 (*.f64 alpha 2)))) (pow.f64 alpha 3))
(+.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha)) (pow.f64 alpha 3))))
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 (fma.f64 2 (*.f64 alpha alpha) (*.f64 alpha -4)) (pow.f64 alpha 3))))
(fma.f64 -2 (/.f64 beta alpha) (/.f64 (neg.f64 (fma.f64 2 (*.f64 alpha alpha) (*.f64 alpha -4))) (pow.f64 alpha 3)))
(fma.f64 -2 (/.f64 beta alpha) (/.f64 (neg.f64 (*.f64 alpha (+.f64 -4 (*.f64 alpha 2)))) (pow.f64 alpha 3)))
(+.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha)) (pow.f64 alpha 3))))
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 (fma.f64 2 (*.f64 alpha alpha) (*.f64 alpha -4)) (pow.f64 alpha 3))))
(fma.f64 -2 (/.f64 beta alpha) (/.f64 (neg.f64 (fma.f64 2 (*.f64 alpha alpha) (*.f64 alpha -4))) (pow.f64 alpha 3)))
(fma.f64 -2 (/.f64 beta alpha) (/.f64 (neg.f64 (*.f64 alpha (+.f64 -4 (*.f64 alpha 2)))) (pow.f64 alpha 3)))
(+.f64 (*.f64 -2 (/.f64 beta alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha)) (pow.f64 alpha 3))))
(fma.f64 -2 (/.f64 beta alpha) (neg.f64 (/.f64 (fma.f64 2 (*.f64 alpha alpha) (*.f64 alpha -4)) (pow.f64 alpha 3))))
(fma.f64 -2 (/.f64 beta alpha) (/.f64 (neg.f64 (fma.f64 2 (*.f64 alpha alpha) (*.f64 alpha -4))) (pow.f64 alpha 3)))
(fma.f64 -2 (/.f64 beta alpha) (/.f64 (neg.f64 (*.f64 alpha (+.f64 -4 (*.f64 alpha 2)))) (pow.f64 alpha 3)))
(*.f64 -2 (/.f64 beta alpha))
(/.f64 (*.f64 -2 beta) alpha)
(/.f64 -2 (/.f64 alpha beta))
(+.f64 (*.f64 -1 (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 beta alpha)))
(fma.f64 -1 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (/.f64 (*.f64 -2 beta) alpha))
(-.f64 (/.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))))
(+.f64 (-.f64 (/.f64 -2 (/.f64 alpha beta)) (/.f64 2 alpha)) (/.f64 (/.f64 4 alpha) alpha))
(+.f64 (*.f64 -1 (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 beta alpha)))
(fma.f64 -1 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (/.f64 (*.f64 -2 beta) alpha))
(-.f64 (/.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))))
(+.f64 (-.f64 (/.f64 -2 (/.f64 alpha beta)) (/.f64 2 alpha)) (/.f64 (/.f64 4 alpha) alpha))
(+.f64 (*.f64 -1 (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 beta alpha)))
(fma.f64 -1 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (/.f64 (*.f64 -2 beta) alpha))
(-.f64 (/.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))))
(+.f64 (-.f64 (/.f64 -2 (/.f64 alpha beta)) (/.f64 2 alpha)) (/.f64 (/.f64 4 alpha) alpha))
(*.f64 -2 (/.f64 beta alpha))
(/.f64 (*.f64 -2 beta) alpha)
(/.f64 -2 (/.f64 alpha beta))
(+.f64 (*.f64 -1 (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 beta alpha)))
(fma.f64 -1 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (/.f64 (*.f64 -2 beta) alpha))
(-.f64 (/.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))))
(+.f64 (-.f64 (/.f64 -2 (/.f64 alpha beta)) (/.f64 2 alpha)) (/.f64 (/.f64 4 alpha) alpha))
(+.f64 (*.f64 -1 (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 beta alpha)))
(fma.f64 -1 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (/.f64 (*.f64 -2 beta) alpha))
(-.f64 (/.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))))
(+.f64 (-.f64 (/.f64 -2 (/.f64 alpha beta)) (/.f64 2 alpha)) (/.f64 (/.f64 4 alpha) alpha))
(+.f64 (*.f64 -1 (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 -2 (/.f64 beta alpha)))
(fma.f64 -1 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) (/.f64 (*.f64 -2 beta) alpha))
(-.f64 (/.f64 -2 (/.f64 alpha beta)) (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))))
(+.f64 (-.f64 (/.f64 -2 (/.f64 alpha beta)) (/.f64 2 alpha)) (/.f64 (/.f64 4 alpha) alpha))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 4 (*.f64 alpha alpha)))
(-.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 (fma.f64 2 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 4 (*.f64 alpha alpha)))
(-.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 (fma.f64 2 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 4 (*.f64 alpha alpha)))
(-.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(neg.f64 (/.f64 (fma.f64 2 beta 2) alpha))
(/.f64 (-.f64 -2 (*.f64 2 beta)) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 4 (*.f64 alpha alpha)))
(-.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 (fma.f64 2 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 4 (*.f64 alpha alpha)))
(-.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 (fma.f64 2 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 4 (*.f64 alpha alpha)))
(-.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(neg.f64 (/.f64 (fma.f64 2 beta 2) alpha))
(/.f64 (-.f64 -2 (*.f64 2 beta)) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 4 (*.f64 alpha alpha)))
(-.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 (fma.f64 2 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 4 (*.f64 alpha alpha)))
(-.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 (fma.f64 2 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 4 (*.f64 alpha alpha)))
(-.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 1/2 (/.f64 (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha)) (pow.f64 alpha 3)))
(/.f64 (*.f64 1/2 (fma.f64 2 (*.f64 alpha alpha) (*.f64 alpha -4))) (pow.f64 alpha 3))
(*.f64 (/.f64 (fma.f64 2 (*.f64 alpha alpha) (*.f64 alpha -4)) (pow.f64 alpha 3)) 1/2)
(*.f64 (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 alpha 2))) (pow.f64 alpha 3)) 1/2)
(+.f64 (/.f64 beta alpha) (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha)) (pow.f64 alpha 3))))
(+.f64 (/.f64 beta alpha) (/.f64 (*.f64 1/2 (fma.f64 2 (*.f64 alpha alpha) (*.f64 alpha -4))) (pow.f64 alpha 3)))
(fma.f64 (/.f64 (fma.f64 2 (*.f64 alpha alpha) (*.f64 alpha -4)) (pow.f64 alpha 3)) 1/2 (/.f64 beta alpha))
(fma.f64 (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 alpha 2))) (pow.f64 alpha 3)) 1/2 (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha)) (pow.f64 alpha 3))))
(+.f64 (/.f64 beta alpha) (/.f64 (*.f64 1/2 (fma.f64 2 (*.f64 alpha alpha) (*.f64 alpha -4))) (pow.f64 alpha 3)))
(fma.f64 (/.f64 (fma.f64 2 (*.f64 alpha alpha) (*.f64 alpha -4)) (pow.f64 alpha 3)) 1/2 (/.f64 beta alpha))
(fma.f64 (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 alpha 2))) (pow.f64 alpha 3)) 1/2 (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 (pow.f64 alpha 2)) (*.f64 -4 alpha)) (pow.f64 alpha 3))))
(+.f64 (/.f64 beta alpha) (/.f64 (*.f64 1/2 (fma.f64 2 (*.f64 alpha alpha) (*.f64 alpha -4))) (pow.f64 alpha 3)))
(fma.f64 (/.f64 (fma.f64 2 (*.f64 alpha alpha) (*.f64 alpha -4)) (pow.f64 alpha 3)) 1/2 (/.f64 beta alpha))
(fma.f64 (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 alpha 2))) (pow.f64 alpha 3)) 1/2 (/.f64 beta alpha))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (*.f64 1/2 (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))))
(+.f64 (/.f64 beta alpha) (*.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 1/2))
(fma.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) 1/2 (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (*.f64 1/2 (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))))
(+.f64 (/.f64 beta alpha) (*.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 1/2))
(fma.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) 1/2 (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (*.f64 1/2 (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))))
(+.f64 (/.f64 beta alpha) (*.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 1/2))
(fma.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) 1/2 (/.f64 beta alpha))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (*.f64 1/2 (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))))
(+.f64 (/.f64 beta alpha) (*.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 1/2))
(fma.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) 1/2 (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (*.f64 1/2 (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))))
(+.f64 (/.f64 beta alpha) (*.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 1/2))
(fma.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) 1/2 (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (*.f64 1/2 (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))))
(+.f64 (/.f64 beta alpha) (*.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 1/2))
(fma.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) 1/2 (/.f64 beta alpha))
(/.f64 -2 (pow.f64 alpha 2))
(/.f64 -2 (*.f64 alpha alpha))
(-.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2) (/.f64 2 (*.f64 alpha alpha)))
(fma.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2 (/.f64 -2 (*.f64 alpha alpha)))
(-.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2) (/.f64 2 (*.f64 alpha alpha)))
(fma.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2 (/.f64 -2 (*.f64 alpha alpha)))
(-.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2) (/.f64 2 (*.f64 alpha alpha)))
(fma.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2 (/.f64 -2 (*.f64 alpha alpha)))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2)
(-.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2) (/.f64 2 (*.f64 alpha alpha)))
(fma.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2 (/.f64 -2 (*.f64 alpha alpha)))
(-.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2) (/.f64 2 (*.f64 alpha alpha)))
(fma.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2 (/.f64 -2 (*.f64 alpha alpha)))
(-.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2) (/.f64 2 (*.f64 alpha alpha)))
(fma.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2 (/.f64 -2 (*.f64 alpha alpha)))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2)
(-.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2) (/.f64 2 (*.f64 alpha alpha)))
(fma.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2 (/.f64 -2 (*.f64 alpha alpha)))
(-.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2) (/.f64 2 (*.f64 alpha alpha)))
(fma.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2 (/.f64 -2 (*.f64 alpha alpha)))
(-.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2) (/.f64 2 (*.f64 alpha alpha)))
(fma.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2 (/.f64 -2 (*.f64 alpha alpha)))
(*.f64 -1 (pow.f64 alpha 3))
(neg.f64 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(neg.f64 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(neg.f64 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(neg.f64 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(neg.f64 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(neg.f64 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(neg.f64 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(neg.f64 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(neg.f64 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(neg.f64 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(neg.f64 (pow.f64 alpha 3))
(*.f64 -1 (pow.f64 alpha 3))
(neg.f64 (pow.f64 alpha 3))
(+.f64 0 (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 alpha 3)))
(/.f64 alpha (/.f64 (pow.f64 alpha 3) (+.f64 -4 (*.f64 alpha (fma.f64 2 beta 2)))))
(*.f64 (/.f64 alpha (pow.f64 alpha 3)) (fma.f64 alpha (fma.f64 2 beta 2) -4))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 alpha 3))))) 1)
(neg.f64 (/.f64 alpha (/.f64 (pow.f64 alpha 3) (+.f64 -4 (*.f64 alpha (fma.f64 2 beta 2))))))
(/.f64 (*.f64 -1 (/.f64 (fma.f64 alpha (fma.f64 2 beta 2) -4) alpha)) alpha)
(/.f64 (/.f64 (-.f64 4 (*.f64 alpha (fma.f64 2 beta 2))) alpha) alpha)
(-.f64 0 (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 alpha 3)))
(neg.f64 (/.f64 alpha (/.f64 (pow.f64 alpha 3) (+.f64 -4 (*.f64 alpha (fma.f64 2 beta 2))))))
(/.f64 (*.f64 -1 (/.f64 (fma.f64 alpha (fma.f64 2 beta 2) -4) alpha)) alpha)
(/.f64 (/.f64 (-.f64 4 (*.f64 alpha (fma.f64 2 beta 2))) alpha) alpha)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 alpha 3)))) 1)
(/.f64 alpha (/.f64 (pow.f64 alpha 3) (+.f64 -4 (*.f64 alpha (fma.f64 2 beta 2)))))
(*.f64 (/.f64 alpha (pow.f64 alpha 3)) (fma.f64 alpha (fma.f64 2 beta 2) -4))
(*.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) (/.f64 -1 (pow.f64 alpha 3)))
(neg.f64 (/.f64 alpha (/.f64 (pow.f64 alpha 3) (+.f64 -4 (*.f64 alpha (fma.f64 2 beta 2))))))
(/.f64 (*.f64 -1 (/.f64 (fma.f64 alpha (fma.f64 2 beta 2) -4) alpha)) alpha)
(/.f64 (/.f64 (-.f64 4 (*.f64 alpha (fma.f64 2 beta 2))) alpha) alpha)
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(log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 alpha (pow.f64 alpha 3)) (fma.f64 alpha (fma.f64 2 beta 2) -4)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 alpha 3)) 1/2))))
(*.f64 1/2 (/.f64 alpha (/.f64 (pow.f64 alpha 3) (+.f64 -4 (*.f64 alpha (fma.f64 2 beta 2))))))
(*.f64 1/2 (*.f64 (/.f64 alpha (pow.f64 alpha 3)) (fma.f64 alpha (fma.f64 2 beta 2) -4)))
(*.f64 (/.f64 (/.f64 (-.f64 4 (*.f64 alpha (fma.f64 2 beta 2))) alpha) alpha) -1/2)
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 alpha 3)) 1/2) 3))
(*.f64 1/2 (/.f64 alpha (/.f64 (pow.f64 alpha 3) (+.f64 -4 (*.f64 alpha (fma.f64 2 beta 2))))))
(*.f64 1/2 (*.f64 (/.f64 alpha (pow.f64 alpha 3)) (fma.f64 alpha (fma.f64 2 beta 2) -4)))
(*.f64 (/.f64 (/.f64 (-.f64 4 (*.f64 alpha (fma.f64 2 beta 2))) alpha) alpha) -1/2)
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 alpha 3)) 1/2)))
(*.f64 1/2 (/.f64 alpha (/.f64 (pow.f64 alpha 3) (+.f64 -4 (*.f64 alpha (fma.f64 2 beta 2))))))
(*.f64 1/2 (*.f64 (/.f64 alpha (pow.f64 alpha 3)) (fma.f64 alpha (fma.f64 2 beta 2) -4)))
(*.f64 (/.f64 (/.f64 (-.f64 4 (*.f64 alpha (fma.f64 2 beta 2))) alpha) alpha) -1/2)
(exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 alpha 3)) 1/2)))
(*.f64 1/2 (/.f64 alpha (/.f64 (pow.f64 alpha 3) (+.f64 -4 (*.f64 alpha (fma.f64 2 beta 2))))))
(*.f64 1/2 (*.f64 (/.f64 alpha (pow.f64 alpha 3)) (fma.f64 alpha (fma.f64 2 beta 2) -4)))
(*.f64 (/.f64 (/.f64 (-.f64 4 (*.f64 alpha (fma.f64 2 beta 2))) alpha) alpha) -1/2)
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 alpha 3)) 1/2)) 1))
(*.f64 1/2 (/.f64 alpha (/.f64 (pow.f64 alpha 3) (+.f64 -4 (*.f64 alpha (fma.f64 2 beta 2))))))
(*.f64 1/2 (*.f64 (/.f64 alpha (pow.f64 alpha 3)) (fma.f64 alpha (fma.f64 2 beta 2) -4)))
(*.f64 (/.f64 (/.f64 (-.f64 4 (*.f64 alpha (fma.f64 2 beta 2))) alpha) alpha) -1/2)
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 alpha (+.f64 -4 (*.f64 (fma.f64 2 beta 2) alpha))) (pow.f64 alpha 3)) 1/2)))
(*.f64 1/2 (/.f64 alpha (/.f64 (pow.f64 alpha 3) (+.f64 -4 (*.f64 alpha (fma.f64 2 beta 2))))))
(*.f64 1/2 (*.f64 (/.f64 alpha (pow.f64 alpha 3)) (fma.f64 alpha (fma.f64 2 beta 2) -4)))
(*.f64 (/.f64 (/.f64 (-.f64 4 (*.f64 alpha (fma.f64 2 beta 2))) alpha) alpha) -1/2)
(+.f64 0 (pow.f64 alpha 3))
(pow.f64 alpha 3)
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (pow.f64 alpha 3)))) 1)
(neg.f64 (pow.f64 alpha 3))
(-.f64 0 (pow.f64 alpha 3))
(neg.f64 (pow.f64 alpha 3))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 alpha 3))) 1)
(pow.f64 alpha 3)
(pow.f64 alpha 3)
(pow.f64 (pow.f64 alpha 3) 1)
(pow.f64 alpha 3)
(pow.f64 (*.f64 alpha (sqrt.f64 alpha)) 2)
(pow.f64 (pow.f64 (pow.f64 alpha 3) 3) 1/3)
(pow.f64 alpha 3)
(neg.f64 (pow.f64 alpha 3))
(sqrt.f64 (pow.f64 (pow.f64 alpha 3) 2))
(sqrt.f64 (pow.f64 alpha 6))
(log.f64 (exp.f64 (pow.f64 alpha 3)))
(pow.f64 alpha 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 alpha 3))))
(pow.f64 alpha 3)
(cbrt.f64 (pow.f64 (pow.f64 alpha 3) 3))
(pow.f64 alpha 3)
(expm1.f64 (log1p.f64 (pow.f64 alpha 3)))
(pow.f64 alpha 3)
(exp.f64 (log.f64 (pow.f64 alpha 3)))
(pow.f64 alpha 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 alpha 3)) 1))
(pow.f64 alpha 3)
(log1p.f64 (expm1.f64 (pow.f64 alpha 3)))
(pow.f64 alpha 3)

eval1.3s (9.6%)

Compiler

Compiled 70409 to 45262 computations (35.7% saved)

prune686.0ms (5%)

Pruning

23 alts after pruning (13 fresh and 10 done)

PrunedKeptTotal
New148781495
Fresh257
Picked011
Done4913
Total1493231516
Error
0b
Counts
1516 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
29.6b
(/.f64 (/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) 2)
48.4b
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
14.0b
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))) 2)
14.0b
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2)))) (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2))))))) 2)
13.4b
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2)
50.4b
(/.f64 (/.f64 2 alpha) 2)
51.8b
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
43.2b
(/.f64 (-.f64 2 (/.f64 alpha beta)) 2)
45.7b
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
28.6b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
29.5b
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
13.3b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
14.5b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
13.3b
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
14.5b
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) beta) 1) 2)
30.7b
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
58.2b
(/.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha alpha)) (*.f64 alpha -4)) (*.f64 (neg.f64 alpha) (*.f64 alpha alpha)))) 2)
61.4b
(/.f64 (*.f64 -1 (-.f64 (*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (*.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha)))))) 2)
50.6b
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 4 (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2)
49.4b
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 (/.f64 (+.f64 2 beta) (neg.f64 alpha)) (neg.f64 (/.f64 (fma.f64 2 beta 2) alpha))))) 2)
59.5b
(/.f64 beta alpha)
40.5b
(/.f64 2 2)
28.8b
(/.f64 1 2)
Compiler

Compiled 500 to 350 computations (30% saved)

regimes174.0ms (1.3%)

Counts
34 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 beta alpha)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (-.f64 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 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha)) -1/2)
(/.f64 (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) beta) 1) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 4 (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2)
(/.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha alpha)) (*.f64 alpha -4)) (*.f64 (neg.f64 alpha) (*.f64 alpha alpha)))) 2)
(/.f64 (*.f64 -1 (-.f64 (*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (*.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha)))))) 2)
(/.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha alpha)) (*.f64 (neg.f64 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))) (*.f64 (neg.f64 alpha) (*.f64 alpha alpha)))) 2)
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 (/.f64 (+.f64 2 beta) (neg.f64 alpha)) (neg.f64 (/.f64 (fma.f64 2 beta 2) alpha))))) 2)
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2)
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3) 2)
(/.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) 2)
(/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) 2)
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2)
(/.f64 (/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 4)) (+.f64 -1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 2))) 2)
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))) (/.f64 (neg.f64 (-.f64 beta alpha)) (+.f64 alpha (+.f64 2 beta))))) (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))))) 2)
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2)))) (/.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha)))) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) 2))))))) 2)
Outputs
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 (/.f64 (+.f64 2 beta) (neg.f64 alpha)) (neg.f64 (/.f64 (fma.f64 2 beta 2) alpha))))) 2)
(/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) 2)
Calls

5 calls:

84.0ms
alpha
20.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
16.0ms
beta
9.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
9.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
ErrorSegmentsBranch
2.1b2alpha
13.3b1beta
0.0b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.0b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.0b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 697 to 447 computations (35.9% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999980567
-0.993161255615482
Compiler

Compiled 20 to 15 computations (25% saved)

regimes120.0ms (0.9%)

Counts
29 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 beta alpha)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (-.f64 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 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha)) -1/2)
(/.f64 (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) beta) 1) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 4 (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2)
(/.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha alpha)) (*.f64 alpha -4)) (*.f64 (neg.f64 alpha) (*.f64 alpha alpha)))) 2)
(/.f64 (*.f64 -1 (-.f64 (*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (*.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha)))))) 2)
(/.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha alpha)) (*.f64 (neg.f64 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))) (*.f64 (neg.f64 alpha) (*.f64 alpha alpha)))) 2)
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 (/.f64 (+.f64 2 beta) (neg.f64 alpha)) (neg.f64 (/.f64 (fma.f64 2 beta 2) alpha))))) 2)
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2)
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3) 2)
(/.f64 (pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) 2)
Outputs
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 (/.f64 (+.f64 2 beta) (neg.f64 alpha)) (neg.f64 (/.f64 (fma.f64 2 beta 2) alpha))))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Calls

5 calls:

62.0ms
alpha
17.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
15.0ms
beta
8.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
7.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
ErrorSegmentsBranch
2.1b2alpha
13.3b1beta
0.0b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.0b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.0b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 453 to 298 computations (34.2% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999980567
-0.993161255615482
Compiler

Compiled 20 to 15 computations (25% saved)

regimes86.0ms (0.6%)

Counts
24 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 beta alpha)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (-.f64 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 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha)) -1/2)
(/.f64 (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) beta) 1) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 4 (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2)
(/.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha alpha)) (*.f64 alpha -4)) (*.f64 (neg.f64 alpha) (*.f64 alpha alpha)))) 2)
(/.f64 (*.f64 -1 (-.f64 (*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (*.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha)))))) 2)
(/.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 2 (+.f64 beta beta)) (*.f64 alpha alpha)) (*.f64 (neg.f64 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta))))) (*.f64 (neg.f64 alpha) (*.f64 alpha alpha)))) 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:

33.0ms
alpha
19.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
13.0ms
beta
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
2.1b2alpha
13.3b1beta
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 319 to 215 computations (32.6% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999980567
-0.993161255615482
Compiler

Compiled 20 to 15 computations (25% saved)

regimes97.0ms (0.7%)

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

2 calls:

82.0ms
alpha
10.0ms
beta
Results
ErrorSegmentsBranch
2.9b2alpha
14.5b1beta
Compiler

Compiled 133 to 102 computations (23.3% saved)

bsearch20.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
163181258543.77267
11164966319136064.0
Results
17.0ms144×body256valid
Compiler

Compiled 254 to 213 computations (16.1% saved)

regimes35.0ms (0.3%)

Counts
15 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 beta alpha)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (-.f64 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 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha)) -1/2)
(/.f64 (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2)
Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
Calls

2 calls:

22.0ms
alpha
9.0ms
beta
Results
ErrorSegmentsBranch
2.9b2alpha
14.5b1beta
Compiler

Compiled 111 to 86 computations (22.5% saved)

bsearch34.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
33.0ms
163181258543.77267
11164966319136064.0
Results
32.0ms144×body256valid
Compiler

Compiled 236 to 195 computations (17.4% saved)

regimes32.0ms (0.2%)

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

21.0ms
alpha
9.0ms
beta
Results
ErrorSegmentsBranch
5.3b2alpha
14.5b1beta
Compiler

Compiled 80 to 63 computations (21.3% saved)

bsearch16.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
16.0ms
163181258543.77267
11164966319136064.0
Results
14.0ms144×body256valid
Compiler

Compiled 200 to 168 computations (16% saved)

regimes32.0ms (0.2%)

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

2 calls:

16.0ms
beta
11.0ms
alpha
Results
ErrorSegmentsBranch
17.7b2alpha
14.8b2beta
Compiler

Compiled 62 to 49 computations (21% saved)

bsearch22.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
4.3301274162051027e-7
50.11743769810957
Results
14.0ms117×body256valid
4.0ms16×body1024valid
2.0ms11×body512valid
Compiler

Compiled 200 to 177 computations (11.5% saved)

regimes28.0ms (0.2%)

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

2 calls:

13.0ms
alpha
10.0ms
beta
Results
ErrorSegmentsBranch
17.7b2alpha
14.9b2beta
Compiler

Compiled 48 to 38 computations (20.8% saved)

bsearch29.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
29.0ms
4.3301274162051027e-7
50.11743769810957
Results
20.0ms111×body256valid
3.0ms15×body1024valid
2.0ms15×body512valid
1.0msbody2048valid
Compiler

Compiled 164 to 150 computations (8.5% saved)

regimes21.0ms (0.2%)

Accuracy

Total -47.3b remaining (-306.4%)

Threshold costs -47.3b (-306.4%)

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

2 calls:

10.0ms
beta
9.0ms
alpha
Results
ErrorSegmentsBranch
18.1b2alpha
15.4b2beta
Compiler

Compiled 34 to 26 computations (23.5% saved)

bsearch20.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
4.3301274162051027e-7
50.11743769810957
Results
11.0ms119×body256valid
3.0ms13×body1024valid
2.0msbody2048valid
2.0ms10×body512valid
Compiler

Compiled 128 to 123 computations (3.9% saved)

simplify37.0ms (0.3%)

Algorithm
egg-herbie
Rules
128×distribute-lft-neg-in
112×*-commutative
92×+-commutative
70×neg-sub0
62×distribute-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0814294967798
11174294967794
21524294967786
31964294967786
42604294967786
53304294967786
63734294967786
74074294967786
84484294967786
94834294967786
104984294967786
115004294967786
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8962163258467287/9007199254740992) (/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 (/.f64 (+.f64 2 beta) (neg.f64 alpha)) (neg.f64 (/.f64 (fma.f64 2 beta 2) alpha))))) 2) (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8962163258467287/9007199254740992) (/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 (/.f64 (+.f64 2 beta) (neg.f64 alpha)) (neg.f64 (/.f64 (fma.f64 2 beta 2) alpha))))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8962163258467287/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 165000000000) (/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) beta) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 350000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 375000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2))
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))
(/.f64 1 2)
Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8962163258467287/9007199254740992) (/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 (/.f64 (+.f64 2 beta) (neg.f64 alpha)) (neg.f64 (/.f64 (fma.f64 2 beta 2) alpha))))) 2) (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8962163258467287/9007199254740992) (/.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (*.f64 (/.f64 (+.f64 beta 2) (neg.f64 alpha)) (neg.f64 (/.f64 (fma.f64 2 beta 2) alpha))))) 2) (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8962163258467287/9007199254740992) (/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (*.f64 (/.f64 (+.f64 beta 2) (neg.f64 alpha)) (/.f64 (fma.f64 2 beta 2) alpha)))) 2) (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8962163258467287/9007199254740992) (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 beta 2) (neg.f64 alpha)) (/.f64 (fma.f64 2 beta 2) alpha)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8962163258467287/9007199254740992) (/.f64 (-.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (-.f64 -2 beta) (neg.f64 alpha)))) 2) (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8962163258467287/9007199254740992) (/.f64 (-.f64 (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (-.f64 -2 beta) (neg.f64 alpha)))) 2) (/.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8962163258467287/9007199254740992) (/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (*.f64 (/.f64 (+.f64 2 beta) (neg.f64 alpha)) (neg.f64 (/.f64 (fma.f64 2 beta 2) alpha))))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8962163258467287/9007199254740992) (/.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (*.f64 (/.f64 (+.f64 beta 2) (neg.f64 alpha)) (neg.f64 (/.f64 (fma.f64 2 beta 2) alpha))))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8962163258467287/9007199254740992) (/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 beta 2)) alpha) (*.f64 (/.f64 (+.f64 beta 2) (neg.f64 alpha)) (/.f64 (fma.f64 2 beta 2) alpha)))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8962163258467287/9007199254740992) (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 beta 2) (neg.f64 alpha)) (/.f64 (fma.f64 2 beta 2) alpha)) (/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8962163258467287/9007199254740992) (/.f64 (-.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (-.f64 -2 beta) (neg.f64 alpha)))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8962163258467287/9007199254740992) (/.f64 (-.f64 (/.f64 (-.f64 beta (-.f64 -2 beta)) alpha) (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) (/.f64 (-.f64 -2 beta) (neg.f64 alpha)))) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -8962163258467287/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -8962163258467287/9007199254740992) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 165000000000) (/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) beta) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 165000000000) (/.f64 (+.f64 1 (*.f64 beta (/.f64 1 (+.f64 beta 2)))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 350000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 350000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 375000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 alpha 375000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 2 alpha) 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2))
(if (<=.f64 beta 2) (/.f64 (-.f64 1 (*.f64 beta -1/2)) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) 1)
(if (<=.f64 beta 2) (/.f64 (-.f64 1 (*.f64 beta -1/2)) 2) 1)
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 2) 1/2 1)
(/.f64 1 2)
1/2
Compiler

Compiled 255 to 190 computations (25.5% saved)

soundness512.0ms (3.7%)

Algorithm
egg-herbie
Rules
1448×associate-+r+
982×associate-/l*
982×associate-/l*
952×+-commutative
924×distribute-lft-in
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01237
12537
24137
36937
411737
525533
646333
784533
8172033
9394033
060812724
1216112284
052317146
1152514810
2659414810
01237
12537
24137
36937
411737
525533
646333
784533
8172033
9394033
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 571 to 384 computations (32.7% saved)

end173.0ms (1.3%)

Compiler

Compiled 237 to 167 computations (29.5% saved)

Profiling

Loading profile data...