Details

Time bar (total: 8.4s)

analyze87.0ms (1%)

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

Compiled 22 to 16 computations (27.3% saved)

sample1.7s (19.9%)

Results
895.0ms6502×body256valid
520.0ms1030×body1024valid
186.0ms614×body512valid
46.0ms110×body2048valid
Bogosity

preprocess74.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 17 to 13 computations (23.5% saved)

simplify66.0ms (0.8%)

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
16.3b
Counts
6 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
16.3b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
2.4b
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
Compiler

Compiled 50 to 23 computations (54% saved)

series7.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite122.0ms (1.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01156
125956
2384456
Stop Event
node limit
Counts
2 → 134
Calls
Call 1
Inputs
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 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simplify120.0ms (1.4%)

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 (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)))

eval205.0ms (2.4%)

Compiler

Compiled 12222 to 7914 computations (35.2% saved)

prune73.0ms (0.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New3468354
Fresh000
Picked011
Done000
Total3469355
Error
0.0b
Counts
355 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
16.4b
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
45.3b
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
33.4b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
16.3b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
18.1b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
61.7b
(/.f64 (+.f64 -1 1) 2)
46.9b
(/.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)
45.3b
(/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2)
38.8b
(/.f64 2 2)
Compiler

Compiled 223 to 177 computations (20.6% saved)

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
16.5b
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
Compiler

Compiled 50 to 31 computations (38% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite80.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1812×associate-*l/
1318×distribute-lft-in
606×associate-/r*
420×associate-/r/
346×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01252
126950
2366350
Stop Event
node limit
Counts
2 → 74
Calls
Call 1
Inputs
(fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 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 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 1) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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(+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))))

simplify151.0ms (1.8%)

Algorithm
egg-herbie
Rules
986×associate-*r/
946×associate-+l-
898×associate-+r-
780×associate-*l/
650×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04247058
113526678
251396670
Stop Event
node limit
Counts
122 → 236
Calls
Call 1
Inputs
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))
(+.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 -1 (/.f64 alpha (+.f64 2 alpha))))))
(+.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 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))))
2
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))))))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2))) alpha) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 (+.f64 (/.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 (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2))) alpha) (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (+.f64 (*.f64 (+.f64 (/.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 (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (+.f64 beta 2))) alpha) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (/.f64 1 (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 3)) (/.f64 beta (+.f64 beta 2))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 2 (/.f64 1 alpha)))))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (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 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (*.f64 2 (/.f64 1 alpha)))))))))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 beta) (*.f64 -1 (+.f64 beta 2))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))))
(/.f64 1 (+.f64 2 alpha))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (+.f64 2 alpha)))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))
(/.f64 1 (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 4))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)
(*.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3)) 1) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (*.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))
(+.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 beta (+.f64 alpha 2)))) (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 beta (+.f64 alpha 2)))))
(*.f64 -1 (/.f64 1 (-.f64 -2 (+.f64 beta alpha))))
(*.f64 (/.f64 1 (-.f64 -2 (+.f64 beta alpha))) -1)
(*.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 (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 (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)))))
(*.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 beta (+.f64 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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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)))))
(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 beta (+.f64 alpha 2)))) 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 -1 (/.f64 alpha (+.f64 2 alpha))))
(+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha)))))
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(+.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 -1 (/.f64 alpha (+.f64 2 alpha))))))
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (+.f64 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 (fma.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta beta) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))) (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1))
(+.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 (*.f64 -1 (/.f64 alpha (+.f64 2 alpha))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))))
(fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) (+.f64 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))) (fma.f64 -1 (/.f64 alpha (+.f64 alpha 2)) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))))))))
(+.f64 (fma.f64 (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta beta) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1))
2
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))))
(fma.f64 -1 (/.f64 alpha beta) (+.f64 2 (/.f64 (+.f64 (neg.f64 alpha) -2) beta)))
(-.f64 (+.f64 2 (/.f64 (-.f64 -2 alpha) beta)) (/.f64 alpha beta))
(+.f64 (/.f64 (-.f64 -2 alpha) beta) (-.f64 2 (/.f64 alpha beta)))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(fma.f64 -1 (/.f64 alpha beta) (+.f64 2 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))))
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2
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(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
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(/.f64 (neg.f64 (-.f64 (-.f64 -2 beta) beta)) alpha)
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(+.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 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (+.f64 beta (-.f64 -2 alpha)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))
(/.f64 (+.f64 2 (-.f64 alpha beta)) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))
(+.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 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (+.f64 beta (-.f64 -2 alpha)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))
(/.f64 (+.f64 2 (-.f64 alpha beta)) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))
(+.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 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (+.f64 beta (-.f64 -2 alpha)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))
(/.f64 (+.f64 2 (-.f64 alpha beta)) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))
(+.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 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 (fma.f64 (+.f64 alpha 2) (+.f64 2 (-.f64 alpha beta)) (*.f64 beta beta)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))
(+.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 (/.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 (fma.f64 (+.f64 alpha 2) (+.f64 2 (-.f64 alpha beta)) (*.f64 beta beta)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 1)
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(*.f64 1 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)) (cbrt.f64 (+.f64 alpha (+.f64 2 beta))))
(*.f64 -1 (/.f64 1 (-.f64 -2 (+.f64 beta alpha))))
(/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))
(/.f64 -1 (-.f64 (-.f64 -2 beta) alpha))
(*.f64 (/.f64 1 (-.f64 -2 (+.f64 beta alpha))) -1)
(/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))
(/.f64 -1 (-.f64 (-.f64 -2 beta) alpha))
(*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (+.f64 beta (-.f64 -2 alpha)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))
(/.f64 (+.f64 2 (-.f64 alpha beta)) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))
(*.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 (fma.f64 (+.f64 alpha 2) (+.f64 2 (-.f64 alpha beta)) (*.f64 beta beta)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -1) (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -2)
(pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) -2)
(*.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 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(*.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 6) (pow.f64 (+.f64 alpha 2) 6))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))
(*.f64 (/.f64 (fma.f64 (+.f64 alpha 2) (+.f64 2 (-.f64 alpha beta)) (*.f64 beta 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 (+.f64 alpha 2) (+.f64 2 (-.f64 alpha beta)) (*.f64 beta beta)) (/.f64 (+.f64 (pow.f64 (pow.f64 beta 3) 3) (pow.f64 (pow.f64 (+.f64 alpha 2) 3) 3)) (fma.f64 (pow.f64 (+.f64 alpha 2) 3) (-.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (pow.f64 beta 6))))
(*.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 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (+.f64 beta (-.f64 -2 alpha)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))
(/.f64 (+.f64 2 (-.f64 alpha beta)) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))
(*.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 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(/.f64 (fma.f64 (+.f64 alpha 2) (+.f64 2 (-.f64 alpha beta)) (*.f64 beta beta)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (+.f64 alpha (-.f64 2 beta)))
(*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (+.f64 beta (-.f64 -2 alpha)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))
(/.f64 (+.f64 2 (-.f64 alpha beta)) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))
(*.f64 (/.f64 1 (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) 4)) (+.f64 beta (+.f64 alpha -2)))
(/.f64 (*.f64 1 (+.f64 (+.f64 alpha beta) -2)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) -4))
(/.f64 (+.f64 alpha (+.f64 -2 beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) -4))
(*.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 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) 4) (*.f64 -2 (+.f64 alpha beta))) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))
(*.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 alpha (+.f64 2 beta)) -1/2) (sqrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (sqrt.f64 (+.f64 beta (-.f64 -2 alpha))))
(*.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 alpha (+.f64 2 beta)) -1/2) (hypot.f64 (pow.f64 beta 3/2) (pow.f64 (+.f64 alpha 2) 3/2))) (sqrt.f64 (fma.f64 (+.f64 alpha 2) (+.f64 2 (-.f64 alpha beta)) (*.f64 beta beta))))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (+.f64 beta (-.f64 -2 alpha)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))
(/.f64 (+.f64 2 (-.f64 alpha beta)) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))
(*.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 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 (fma.f64 (+.f64 alpha 2) (+.f64 2 (-.f64 alpha beta)) (*.f64 beta beta)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))
(*.f64 (/.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)) (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (cbrt.f64 (+.f64 beta (-.f64 -2 alpha))))
(*.f64 (/.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)) (cbrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))) (cbrt.f64 (fma.f64 (+.f64 alpha 2) (+.f64 2 (-.f64 alpha beta)) (*.f64 beta 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 beta (-.f64 -2 alpha)) (-.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 4))) (fma.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 (+.f64 (pow.f64 beta 4) (pow.f64 (+.f64 alpha 2) 4)) (*.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (-.f64 (pow.f64 beta 6) (pow.f64 (pow.f64 (+.f64 alpha 2) 2) 3)))
(*.f64 (/.f64 (+.f64 beta (-.f64 -2 alpha)) (-.f64 (pow.f64 beta 6) (pow.f64 (+.f64 alpha 2) 6))) (fma.f64 (pow.f64 (+.f64 alpha 2) 2) (fma.f64 beta beta (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 4)))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) -1)
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) 2)
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) 3)
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 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 alpha (+.f64 2 beta)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))
(/.f64 1 (+.f64 beta (+.f64 alpha 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 alpha (+.f64 2 beta)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha (+.f64 2 beta)))

localize3.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize13.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite74.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

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

simplify61.0ms (0.7%)

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

Useful iterations: 3 (0.0ms)

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

localize13.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 29 to 21 computations (27.6% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite96.0ms (1.1%)

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)))))))

simplify77.0ms (0.9%)

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)

localize51.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (neg.f64 beta) (+.f64 2 beta))
0.0b
(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))
3.1b
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))
3.4b
(+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))
Compiler

Compiled 142 to 87 computations (38.7% saved)

series8.0ms (0.1%)

Counts
4 → 72
Calls

18 calls:

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

rewrite125.0ms (1.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
016162
1391132
26623132
Stop Event
node limit
Counts
4 → 240
Calls
Call 1
Inputs
(+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))
(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))
(-.f64 (neg.f64 beta) (+.f64 2 beta))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 alpha) (*.f64 (/.f64 alpha (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) (+.f64 beta (+.f64 beta 2)))) (*.f64 (/.f64 alpha (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha) alpha) (*.f64 alpha (+.f64 (+.f64 beta beta) -2))) (*.f64 alpha alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 alpha (*.f64 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha) (/.f64 alpha (+.f64 (+.f64 beta beta) -2)))) (*.f64 alpha (/.f64 alpha (+.f64 (+.f64 beta beta) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha) (neg.f64 alpha)) (*.f64 alpha (+.f64 beta (+.f64 beta 2)))) (*.f64 alpha (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 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egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (+.f64 beta beta) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 beta (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 beta (+.f64 beta -2))))))

simplify144.0ms (1.7%)

Algorithm
egg-herbie
Rules
978×times-frac
850×associate-*l*
818×associate-*r*
810×associate-/r*
730×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063817526
1184716822
Stop Event
node limit
Counts
312 → 448
Calls
Call 1
Inputs
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(/.f64 4 (pow.f64 alpha 2))
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
4
(+.f64 (*.f64 6 beta) 4)
(+.f64 (*.f64 6 beta) (+.f64 4 (*.f64 2 (pow.f64 beta 2))))
(+.f64 (*.f64 6 beta) (+.f64 4 (*.f64 2 (pow.f64 beta 2))))
(*.f64 2 (pow.f64 beta 2))
(+.f64 (*.f64 6 beta) (*.f64 2 (pow.f64 beta 2)))
(+.f64 (*.f64 6 beta) (+.f64 4 (*.f64 2 (pow.f64 beta 2))))
(+.f64 (*.f64 6 beta) (+.f64 4 (*.f64 2 (pow.f64 beta 2))))
(*.f64 2 (pow.f64 beta 2))
(+.f64 (*.f64 6 beta) (*.f64 2 (pow.f64 beta 2)))
(+.f64 (*.f64 6 beta) (+.f64 4 (*.f64 2 (pow.f64 beta 2))))
(+.f64 (*.f64 6 beta) (+.f64 4 (*.f64 2 (pow.f64 beta 2))))
-2
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(*.f64 -2 beta)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(*.f64 -2 beta)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (/.f64 beta alpha) (-.f64 (/.f64 (+.f64 beta 2) alpha) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha))) (-.f64 1 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)))) (-.f64 1 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2) (/.f64 (+.f64 (+.f64 beta beta) -2) alpha)))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)) (/.f64 beta alpha)) (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha) 2) (/.f64 (-.f64 (+.f64 (+.f64 beta beta) -2) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) alpha)) (/.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2) (pow.f64 alpha 4)) (/.f64 (-.f64 (+.f64 (+.f64 beta beta) -2) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) alpha)))
(-.f64 (/.f64 (+.f64 beta -2) alpha) (-.f64 (/.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2))))
(-.f64 (+.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha) (exp.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2))))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)) (exp.f64 (log1p.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha)))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)) (/.f64 (+.f64 beta -2) alpha)) (/.f64 beta alpha))
(*.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2) (/.f64 (+.f64 (+.f64 beta beta) -2) alpha)) 1)
(*.f64 1 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2) (/.f64 (+.f64 (+.f64 beta beta) -2) alpha)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2) (/.f64 (+.f64 (+.f64 beta beta) -2) alpha))) (sqrt.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2) (/.f64 (+.f64 (+.f64 beta beta) -2) alpha))))
(*.f64 (cbrt.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2) (/.f64 (+.f64 (+.f64 beta beta) -2) alpha))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2) (/.f64 (+.f64 (+.f64 beta beta) -2) alpha))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2) (/.f64 (+.f64 (+.f64 beta beta) -2) alpha))) 2) (cbrt.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2) (/.f64 (+.f64 (+.f64 beta beta) -2) alpha))))
(*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha) 2) (/.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2) (pow.f64 alpha 4))) (/.f64 1 (/.f64 (-.f64 (+.f64 (+.f64 beta beta) -2) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) alpha)))
(*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha) 3) (pow.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)) 3)) (/.f64 1 (+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2) (pow.f64 alpha 4)) (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha) 2) (/.f64 (*.f64 (+.f64 (+.f64 beta beta) -2) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3))))))
(*.f64 (fma.f64 (+.f64 (+.f64 beta beta) -2) (*.f64 alpha alpha) (*.f64 alpha (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))))) (/.f64 1 (pow.f64 alpha 3)))
(/.f64 1 (/.f64 (/.f64 (-.f64 (+.f64 (+.f64 beta beta) -2) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) alpha) (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha) 2) (/.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2) (pow.f64 alpha 4)))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2) (pow.f64 alpha 4)) (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha) 2) (/.f64 (*.f64 (+.f64 (+.f64 beta beta) -2) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3)))) (+.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha) 3) (pow.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)) 3))))
(/.f64 1 (/.f64 (pow.f64 alpha 3) (fma.f64 (+.f64 (+.f64 beta beta) -2) (*.f64 alpha alpha) (*.f64 alpha (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha) 2) (/.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2) (pow.f64 alpha 4))) (/.f64 (-.f64 (+.f64 (+.f64 beta beta) -2) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) alpha))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha) 3) (pow.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)) 3)) (+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2) (pow.f64 alpha 4)) (-.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha) 2) (/.f64 (*.f64 (+.f64 (+.f64 beta beta) -2) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) (pow.f64 alpha 3)))))
(/.f64 (fma.f64 (+.f64 (+.f64 beta beta) -2) (*.f64 alpha alpha) (*.f64 alpha (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))))) (pow.f64 alpha 3))
(/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta beta) -2) (*.f64 alpha alpha) (*.f64 alpha (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))))) alpha) (*.f64 alpha alpha))
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2) (pow.f64 alpha 4)) (pow.f64 (/.f64 (+.f64 (+.f64 beta beta) -2) alpha) 2)) (-.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)) (/.f64 (+.f64 (+.f64 beta beta) -2) alpha)))
(/.f64 (+.f64 alpha (*.f64 (+.f64 (+.f64 beta beta) -2) (/.f64 alpha (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)))) (*.f64 alpha (/.f64 alpha (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha))))
(/.f64 (+.f64 (*.f64 (+.f64 (+.f64 beta beta) -2) alpha) (*.f64 alpha (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha))) (*.f64 alpha alpha))
(/.f64 (+.f64 (*.f64 (+.f64 (+.f64 beta beta) -2) (*.f64 alpha (neg.f64 alpha))) (*.f64 alpha (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))))) (*.f64 alpha (*.f64 alpha (neg.f64 alpha))))
(/.f64 (+.f64 (*.f64 alpha alpha) (*.f64 (/.f64 alpha (+.f64 (+.f64 beta beta) -2)) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))))) (*.f64 (/.f64 alpha (+.f64 (+.f64 beta beta) -2)) (*.f64 alpha alpha)))
(/.f64 (+.f64 (/.f64 alpha (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha)) (*.f64 (/.f64 alpha (+.f64 (+.f64 beta beta) -2)) 1)) (*.f64 (/.f64 alpha (+.f64 (+.f64 beta beta) -2)) (/.f64 alpha (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha))))
(/.f64 (+.f64 alpha (*.f64 (/.f64 alpha (+.f64 (+.f64 beta beta) -2)) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) alpha))) (*.f64 (/.f64 alpha (+.f64 (+.f64 beta beta) -2)) alpha))
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(-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) (-.f64 (/.f64 (pow.f64 (*.f64 beta (+.f64 beta 2)) 2) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) (fma.f64 (*.f64 beta (+.f64 beta 2)) 1 (*.f64 beta (+.f64 beta 2)))))
(-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) (-.f64 (/.f64 (pow.f64 (*.f64 beta (+.f64 beta 2)) 2) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 beta (+.f64 beta 2)))) (sqrt.f64 (*.f64 beta (+.f64 beta 2))) (*.f64 beta (+.f64 beta 2)))))
(-.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) (-.f64 (/.f64 (pow.f64 (*.f64 beta (+.f64 beta 2)) 2) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 beta (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (*.f64 beta (+.f64 beta 2))) 2) (*.f64 beta (+.f64 beta 2)))))
(-.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (exp.f64 (log1p.f64 (*.f64 beta (+.f64 beta 2))))) 1)
(-.f64 (+.f64 (*.f64 beta (+.f64 beta 2)) (exp.f64 (log1p.f64 (pow.f64 (+.f64 beta 2) 2)))) 1)
(*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))
(*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 1)
(*.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))))
(*.f64 (hypot.f64 (+.f64 beta 2) (sqrt.f64 (*.f64 beta (+.f64 beta 2)))) (hypot.f64 (+.f64 beta 2) (sqrt.f64 (*.f64 beta (+.f64 beta 2)))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2)) (cbrt.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))))
(*.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2) (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))))
(*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 6) (pow.f64 (*.f64 beta (+.f64 beta 2)) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2) (*.f64 (pow.f64 (+.f64 beta 2) 3) beta))))
(*.f64 (+.f64 beta (+.f64 2 (sqrt.f64 (*.f64 beta (+.f64 beta 2))))) (-.f64 (+.f64 beta 2) (sqrt.f64 (*.f64 beta (+.f64 beta 2)))))
(/.f64 1 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2)))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2) (*.f64 (pow.f64 (+.f64 beta 2) 3) beta)) (+.f64 (pow.f64 (+.f64 beta 2) 6) (pow.f64 (*.f64 beta (+.f64 beta 2)) 3))))
(/.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 6) (pow.f64 (*.f64 beta (+.f64 beta 2)) 3)) (-.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2) (*.f64 (pow.f64 (+.f64 beta 2) 3) beta)))
(/.f64 (neg.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2)) (neg.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta 2) 6) (pow.f64 (*.f64 beta (+.f64 beta 2)) 3))) (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2) (*.f64 (pow.f64 (+.f64 beta 2) 3) beta))))
(/.f64 (-.f64 (pow.f64 (*.f64 beta (+.f64 beta 2)) 2) (pow.f64 (+.f64 beta 2) 4)) (-.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 6) (pow.f64 (*.f64 beta (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2) (*.f64 (pow.f64 (+.f64 beta 2) 3) beta)))
(pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 1)
(pow.f64 (hypot.f64 (+.f64 beta 2) (sqrt.f64 (*.f64 beta (+.f64 beta 2)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))))
(log.f64 (/.f64 (exp.f64 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (exp.f64 (+.f64 beta 2)) beta)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))))
(exp.f64 (log.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))))
(fma.f64 beta (+.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))
(fma.f64 (+.f64 beta 2) beta (pow.f64 (+.f64 beta 2) 2))
(fma.f64 (+.f64 beta 2) (+.f64 beta 2) (*.f64 beta (+.f64 beta 2)))
(fma.f64 1 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))
(fma.f64 1 (*.f64 beta (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))
(fma.f64 (sqrt.f64 (*.f64 beta (+.f64 beta 2))) (sqrt.f64 (*.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 beta (+.f64 beta 2))) 2) (cbrt.f64 (*.f64 beta (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) 4)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 beta (+.f64 beta 2)))
(+.f64 beta (+.f64 beta -2))
(+.f64 beta (*.f64 (+.f64 beta -2) 1))
(+.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2))))
(+.f64 beta (+.f64 (*.f64 (+.f64 beta -2) 1) (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2))))
(+.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))))
(+.f64 beta (+.f64 (*.f64 (+.f64 beta -2) 1) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))))
(+.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))))
(+.f64 beta (+.f64 (*.f64 (+.f64 beta -2) 1) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))))
(+.f64 (+.f64 (+.f64 beta beta) -2) (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)))
(+.f64 (+.f64 (+.f64 beta beta) -2) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))
(+.f64 (+.f64 (+.f64 beta beta) -2) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)))
(+.f64 (+.f64 (+.f64 beta beta) -2) (+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)) (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2))))
(+.f64 (+.f64 (+.f64 beta beta) -2) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)) (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2))))
(+.f64 (+.f64 (+.f64 beta beta) -2) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)) (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2))))
(+.f64 (+.f64 (+.f64 beta beta) -2) (+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))))
(+.f64 (+.f64 (+.f64 beta beta) -2) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))))
(+.f64 (+.f64 (+.f64 beta beta) -2) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))))
(+.f64 (+.f64 (+.f64 beta beta) -2) (+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))))
(+.f64 (+.f64 (+.f64 beta beta) -2) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))))
(+.f64 (+.f64 (+.f64 beta beta) -2) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))))
(+.f64 (+.f64 beta -2) beta)
(+.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2))))
(+.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))))
(+.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))))
(+.f64 0 (+.f64 (+.f64 beta beta) -2))
(+.f64 (+.f64 beta beta) -2)
(+.f64 (*.f64 (+.f64 beta -2) 1) beta)
(+.f64 -2 (+.f64 beta beta))
(+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)) (+.f64 (+.f64 beta beta) -2))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)) (+.f64 (+.f64 beta beta) -2))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)) (+.f64 (+.f64 beta beta) -2))
(+.f64 (+.f64 (+.f64 beta -2) 0) beta)
(*.f64 (+.f64 (+.f64 beta beta) -2) 1)
(*.f64 1 (+.f64 (+.f64 beta beta) -2))
(*.f64 (sqrt.f64 (+.f64 (+.f64 beta beta) -2)) (sqrt.f64 (+.f64 (+.f64 beta beta) -2)))
(*.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) -2)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) -2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) -2)) 2) (cbrt.f64 (+.f64 (+.f64 beta beta) -2)))
(*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (+.f64 beta (+.f64 beta 2))))
(*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))
(/.f64 1 (/.f64 (+.f64 beta (+.f64 beta 2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))))
(/.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 beta 2)))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))))
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (+.f64 beta beta) -2))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))))))
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 beta -2) (+.f64 beta -2))) (-.f64 beta (+.f64 beta -2)))
(/.f64 (-.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (*.f64 beta beta)) (+.f64 (+.f64 beta beta) -2))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (+.f64 (*.f64 beta beta) (-.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (*.f64 beta (+.f64 beta -2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 beta -2) 3) (pow.f64 beta 3)) (+.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 beta -2) beta))))
(pow.f64 (+.f64 (+.f64 beta beta) -2) 1)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 beta beta) -2)) 2)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) -2)) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 beta beta) -2) 3) 1/3)
(neg.f64 (+.f64 beta (+.f64 beta 2)))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 beta beta) -2) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 beta beta) -2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 beta beta) -2))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 beta beta) -2) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 beta beta) -2)))
(exp.f64 (log.f64 (+.f64 (+.f64 beta beta) -2)))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 beta beta) -2)) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 beta beta) -2)))
(fma.f64 1 beta (+.f64 beta -2))
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta -2))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 beta -2))
(fma.f64 -1 beta (+.f64 beta -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 (/.f64 4 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 (/.f64 6 alpha) alpha) (/.f64 -2 alpha)) (/.f64 (/.f64 4 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 (/.f64 6 alpha) alpha) (/.f64 -2 alpha)) (fma.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 (/.f64 4 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 (/.f64 6 alpha) alpha) (/.f64 -2 alpha)) (fma.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 (/.f64 4 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 alpha) (/.f64 beta alpha)))
(+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 (*.f64 2 (*.f64 beta beta)) (*.f64 alpha alpha)))
(fma.f64 beta (+.f64 (/.f64 (/.f64 6 alpha) alpha) (/.f64 -2 alpha)) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha)))) (/.f64 2 alpha))
(+.f64 (fma.f64 beta (+.f64 (/.f64 (/.f64 6 alpha) alpha) (/.f64 -2 alpha)) (fma.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 (/.f64 4 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 (/.f64 6 alpha) alpha) (/.f64 -2 alpha)) (fma.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 (/.f64 4 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 alpha) (/.f64 beta alpha)))
(+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 -1 (*.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha)))) (/.f64 (*.f64 2 (*.f64 beta beta)) (*.f64 alpha alpha)))
(-.f64 (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))) (*.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 (/.f64 6 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))
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(-.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))
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(/.f64 (fma.f64 -2 beta -2) alpha)
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(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(/.f64 (/.f64 4 alpha) alpha)
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(/.f64 (*.f64 2 (*.f64 beta beta)) (*.f64 alpha alpha))
(*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
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(fma.f64 6 (/.f64 (/.f64 beta alpha) alpha) (*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha))))
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(*.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)))
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(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
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(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha alpha))
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(/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha alpha))
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(/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha alpha))
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(/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (*.f64 alpha alpha))
4
(+.f64 (*.f64 6 beta) 4)
(fma.f64 6 beta 4)
(+.f64 (*.f64 6 beta) (+.f64 4 (*.f64 2 (pow.f64 beta 2))))
(+.f64 (fma.f64 6 beta 4) (*.f64 2 (*.f64 beta beta)))
(+.f64 4 (fma.f64 6 beta (*.f64 beta (+.f64 beta beta))))
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(+.f64 (fma.f64 6 beta 4) (*.f64 2 (*.f64 beta beta)))
(+.f64 4 (fma.f64 6 beta (*.f64 beta (+.f64 beta beta))))
(*.f64 2 (pow.f64 beta 2))
(*.f64 2 (*.f64 beta beta))
(*.f64 beta (+.f64 beta beta))
(+.f64 (*.f64 6 beta) (*.f64 2 (pow.f64 beta 2)))
(fma.f64 6 beta (*.f64 2 (*.f64 beta beta)))
(fma.f64 6 beta (*.f64 beta (+.f64 beta beta)))
(+.f64 (*.f64 6 beta) (+.f64 4 (*.f64 2 (pow.f64 beta 2))))
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(+.f64 (fma.f64 6 beta 4) (*.f64 2 (*.f64 beta beta)))
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(*.f64 2 (pow.f64 beta 2))
(*.f64 2 (*.f64 beta beta))
(*.f64 beta (+.f64 beta beta))
(+.f64 (*.f64 6 beta) (*.f64 2 (pow.f64 beta 2)))
(fma.f64 6 beta (*.f64 2 (*.f64 beta beta)))
(fma.f64 6 beta (*.f64 beta (+.f64 beta beta)))
(+.f64 (*.f64 6 beta) (+.f64 4 (*.f64 2 (pow.f64 beta 2))))
(+.f64 (fma.f64 6 beta 4) (*.f64 2 (*.f64 beta beta)))
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(+.f64 (fma.f64 6 beta 4) (*.f64 2 (*.f64 beta beta)))
(+.f64 4 (fma.f64 6 beta (*.f64 beta (+.f64 beta beta))))
-2
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(*.f64 -2 beta)
(*.f64 beta -2)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(*.f64 -2 beta)
(*.f64 beta -2)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
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(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2) (/.f64 (+.f64 (+.f64 beta beta) -2) alpha)))) 1)
(fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))
(-.f64 (+.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))) (pow.f64 alpha -2)) (/.f64 beta alpha)) (/.f64 (+.f64 beta 2) alpha))
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(-.f64 (/.f64 beta alpha) (+.f64 (/.f64 (+.f64 2 beta) alpha) (*.f64 (pow.f64 alpha -2) (*.f64 (+.f64 2 beta) (fma.f64 -2 beta -2)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) 2) (/.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 alpha 4))) (/.f64 (-.f64 (+.f64 beta (+.f64 beta -2)) (/.f64 (+.f64 2 beta) (/.f64 alpha (+.f64 2 (+.f64 beta beta))))) alpha))
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(*.f64 (+.f64 2 beta) (*.f64 (+.f64 2 (+.f64 beta beta)) (pow.f64 alpha -2)))
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(-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2)))
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(*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) beta))
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(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 -2 (+.f64 2 (+.f64 beta beta))))
(+.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))))
(+.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))
(+.f64 beta (+.f64 beta (+.f64 -2 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)))))
(+.f64 beta (+.f64 (*.f64 (+.f64 beta -2) 1) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))))
(+.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))
(+.f64 beta (+.f64 beta (+.f64 -2 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)))))
(+.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))))
(+.f64 beta (+.f64 beta (+.f64 -2 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)))))
(+.f64 beta (+.f64 (*.f64 (+.f64 beta -2) 1) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))))
(+.f64 beta (+.f64 beta (+.f64 -2 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)))))
(+.f64 (+.f64 (+.f64 beta beta) -2) (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (+.f64 beta -2) (+.f64 2 beta)))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 -2 (+.f64 2 (+.f64 beta beta))))
(+.f64 (+.f64 (+.f64 beta beta) -2) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)))
(+.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))
(+.f64 beta (+.f64 beta (+.f64 -2 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)))))
(+.f64 (+.f64 (+.f64 beta beta) -2) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)))
(+.f64 beta (+.f64 beta (+.f64 -2 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)))))
(+.f64 (+.f64 (+.f64 beta beta) -2) (+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)) (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2))))
(+.f64 (+.f64 beta beta) (+.f64 -2 (*.f64 2 (+.f64 (+.f64 beta -2) (+.f64 2 beta)))))
(+.f64 (+.f64 beta beta) (+.f64 -2 (*.f64 2 (+.f64 -2 (+.f64 2 (+.f64 beta beta))))))
(+.f64 (+.f64 (+.f64 beta beta) -2) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)) (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2))))
(+.f64 (+.f64 beta beta) (+.f64 -2 (+.f64 (+.f64 (+.f64 beta -2) (+.f64 2 beta)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)))))
(+.f64 (+.f64 -2 (+.f64 beta (+.f64 -2 (+.f64 2 (+.f64 beta beta))))) (+.f64 beta (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))
(+.f64 (+.f64 (+.f64 beta beta) -2) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)) (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (+.f64 (+.f64 beta -2) (+.f64 2 beta)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))
(+.f64 beta (+.f64 beta (+.f64 (+.f64 -2 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))) (+.f64 -2 (+.f64 2 (+.f64 beta beta))))))
(+.f64 (+.f64 (+.f64 beta beta) -2) (+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))))
(+.f64 (+.f64 beta beta) (+.f64 -2 (+.f64 (+.f64 (+.f64 beta -2) (+.f64 2 beta)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)))))
(+.f64 (+.f64 -2 (+.f64 beta (+.f64 -2 (+.f64 2 (+.f64 beta beta))))) (+.f64 beta (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))
(+.f64 (+.f64 (+.f64 beta beta) -2) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))
(+.f64 beta (+.f64 beta (+.f64 -2 (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))))
(+.f64 (+.f64 (+.f64 beta beta) -2) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)) (+.f64 beta (+.f64 beta (+.f64 -2 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))))
(+.f64 (+.f64 (+.f64 beta beta) -2) (+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (+.f64 (+.f64 beta -2) (+.f64 2 beta)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))
(+.f64 beta (+.f64 beta (+.f64 (+.f64 -2 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))) (+.f64 -2 (+.f64 2 (+.f64 beta beta))))))
(+.f64 (+.f64 (+.f64 beta beta) -2) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)) (+.f64 beta (+.f64 beta (+.f64 -2 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))))
(+.f64 (+.f64 (+.f64 beta beta) -2) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))
(+.f64 beta (+.f64 (+.f64 beta -2) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)))))
(+.f64 (+.f64 beta -2) beta)
(+.f64 beta (+.f64 beta -2))
(+.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (+.f64 beta -2) (+.f64 2 beta)))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 -2 (+.f64 2 (+.f64 beta beta))))
(+.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))))
(+.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))
(+.f64 beta (+.f64 beta (+.f64 -2 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)))))
(+.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))))
(+.f64 beta (+.f64 beta (+.f64 -2 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)))))
(+.f64 0 (+.f64 (+.f64 beta beta) -2))
(+.f64 beta (+.f64 beta -2))
(+.f64 (+.f64 beta beta) -2)
(+.f64 beta (+.f64 beta -2))
(+.f64 (*.f64 (+.f64 beta -2) 1) beta)
(+.f64 beta (+.f64 beta -2))
(+.f64 -2 (+.f64 beta beta))
(+.f64 beta (+.f64 beta -2))
(+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 beta 2)) (+.f64 (+.f64 beta beta) -2))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (+.f64 beta -2) (+.f64 2 beta)))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 -2 (+.f64 2 (+.f64 beta beta))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)) (+.f64 (+.f64 beta beta) -2))
(+.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))
(+.f64 beta (+.f64 beta (+.f64 -2 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)) (+.f64 (+.f64 beta beta) -2))
(+.f64 beta (+.f64 beta (+.f64 -2 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)))))
(+.f64 (+.f64 (+.f64 beta -2) 0) beta)
(+.f64 beta (+.f64 beta -2))
(*.f64 (+.f64 (+.f64 beta beta) -2) 1)
(+.f64 beta (+.f64 beta -2))
(*.f64 1 (+.f64 (+.f64 beta beta) -2))
(+.f64 beta (+.f64 beta -2))
(*.f64 (sqrt.f64 (+.f64 (+.f64 beta beta) -2)) (sqrt.f64 (+.f64 (+.f64 beta beta) -2)))
(+.f64 beta (+.f64 beta -2))
(*.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) -2)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) -2)) 2))
(+.f64 beta (+.f64 beta -2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) -2)) 2) (cbrt.f64 (+.f64 (+.f64 beta beta) -2)))
(+.f64 beta (+.f64 beta -2))
(*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (+.f64 beta (+.f64 beta 2))))
(*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 (+.f64 beta beta))))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) (+.f64 2 (+.f64 beta beta)))
(*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))))))
(*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 beta beta (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 beta))))
(/.f64 1 (/.f64 (+.f64 beta (+.f64 beta 2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))))
(*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 (+.f64 beta beta))))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) (+.f64 2 (+.f64 beta beta)))
(/.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))))
(*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 beta beta (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 beta 2)))
(*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 (+.f64 beta beta))))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) (+.f64 2 (+.f64 beta beta)))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2)))))
(*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 beta beta (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (+.f64 beta beta) -2))
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 beta (+.f64 beta -2)))
(/.f64 (+.f64 (*.f64 beta (neg.f64 beta)) (pow.f64 (+.f64 2 beta) 2)) (+.f64 beta (+.f64 beta -2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 beta 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))))
(*.f64 1 (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 beta beta (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))))
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 beta -2) (+.f64 beta -2))) (-.f64 beta (+.f64 beta -2)))
(/.f64 (+.f64 beta (+.f64 beta -2)) 1)
(/.f64 (-.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (*.f64 beta beta)) (+.f64 (+.f64 beta beta) -2))
(/.f64 (-.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (*.f64 beta beta)) (+.f64 beta (+.f64 beta -2)))
(*.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 beta (+.f64 beta -2))) -2)
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (+.f64 (*.f64 beta beta) (-.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (*.f64 beta (+.f64 beta -2)))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta -2) (-.f64 (+.f64 beta -2) beta))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (fma.f64 beta beta (+.f64 4 (*.f64 beta -2))))
(/.f64 (-.f64 (pow.f64 (+.f64 beta -2) 3) (pow.f64 beta 3)) (+.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 beta -2) beta))))
(/.f64 (-.f64 (pow.f64 (+.f64 beta -2) 3) (pow.f64 beta 3)) (fma.f64 (+.f64 beta -2) (+.f64 beta -2) (*.f64 beta (+.f64 beta (+.f64 beta -2)))))
(pow.f64 (+.f64 (+.f64 beta beta) -2) 1)
(+.f64 beta (+.f64 beta -2))
(pow.f64 (sqrt.f64 (+.f64 (+.f64 beta beta) -2)) 2)
(+.f64 beta (+.f64 beta -2))
(pow.f64 (cbrt.f64 (+.f64 (+.f64 beta beta) -2)) 3)
(+.f64 beta (+.f64 beta -2))
(pow.f64 (pow.f64 (+.f64 (+.f64 beta beta) -2) 3) 1/3)
(+.f64 beta (+.f64 beta -2))
(neg.f64 (+.f64 beta (+.f64 beta 2)))
(fma.f64 -2 beta -2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 beta beta) -2) 2))
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 beta beta) -2)))
(+.f64 beta (+.f64 beta -2))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 beta beta) -2))))
(+.f64 beta (+.f64 beta -2))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 beta beta) -2) 3))
(+.f64 beta (+.f64 beta -2))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 beta beta) -2)))
(+.f64 beta (+.f64 beta -2))
(exp.f64 (log.f64 (+.f64 (+.f64 beta beta) -2)))
(+.f64 beta (+.f64 beta -2))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 beta beta) -2)) 1))
(+.f64 beta (+.f64 beta -2))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 beta beta) -2)))
(+.f64 beta (+.f64 beta -2))
(fma.f64 1 beta (+.f64 beta -2))
(+.f64 beta (+.f64 beta -2))
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta -2))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 beta -2))
(fma.f64 -1 beta (+.f64 beta -2))
-2

eval523.0ms (6.2%)

Compiler

Compiled 25305 to 17197 computations (32% saved)

prune239.0ms (2.9%)

Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New77810788
Fresh213
Picked101
Done145
Total78215797
Error
0b
Counts
797 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
35.0b
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)
45.3b
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
45.3b
(/.f64 (/.f64 (neg.f64 (-.f64 (-.f64 -2 beta) beta)) alpha) 2)
56.1b
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2)
50.8b
(/.f64 (/.f64 2 alpha) 2)
43.0b
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
33.4b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
16.3b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
18.1b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
36.9b
(/.f64 (+.f64 1 (*.f64 1/2 beta)) 2)
56.1b
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
56.9b
(/.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 (+.f64 beta (+.f64 beta -2)) (/.f64 (+.f64 2 beta) (/.f64 alpha (+.f64 2 (+.f64 beta beta)))))) (*.f64 alpha alpha))) 2)
46.6b
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (*.f64 beta (+.f64 beta beta)) (*.f64 alpha alpha)))) 2)
38.8b
(/.f64 2 2)
34.3b
(/.f64 1 2)
Compiler

Compiled 364 to 270 computations (25.8% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 29 to 21 computations (27.6% saved)

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))

rewrite99.0ms (1.2%)

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

Useful iterations: 0 (0.0ms)

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

simplify100.0ms (1.2%)

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

Useful iterations: 2 (0.0ms)

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

localize3.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize8.0ms (0.1%)

Compiler

Compiled 20 to 10 computations (50% saved)

localize7.0ms (0.1%)

Compiler

Compiled 19 to 15 computations (21.1% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 38 to 25 computations (34.2% saved)

series1.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite103.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1516×associate-*l/
1158×associate-/r*
1028×*-commutative
986×associate-/l*
528×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01036
123132
2337732
Stop Event
node limit
Counts
2 → 308
Calls
Call 1
Inputs
(-.f64 (-.f64 -2 beta) beta)
(/.f64 (neg.f64 (-.f64 (-.f64 -2 beta) beta)) alpha)
Outputs
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(sqrt.f64 (+.f64 beta (+.f64 2 beta))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) alpha) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) (sqrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta (+.f64 2 beta)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 beta (+.f64 2 beta)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2) alpha) (cbrt.f64 (+.f64 beta (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2))) (cbrt.f64 (+.f64 beta (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 alpha -1)) (+.f64 beta (+.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 alpha 1)) (+.f64 beta (+.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 alpha (sqrt.f64 (+.f64 beta (+.f64 2 beta))))) (sqrt.f64 (+.f64 beta (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2))) (cbrt.f64 (+.f64 beta (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 alpha -1)) (+.f64 beta (+.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 beta))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))))))

simplify135.0ms (1.6%)

Algorithm
egg-herbie
Rules
1004×associate-/l*
814×associate-*r*
774×associate-*l*
576×associate-+l+
522×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066612222
1205411358
Stop Event
node limit
Counts
344 → 454
Calls
Call 1
Inputs
-2
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(*.f64 -2 beta)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(*.f64 -2 beta)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(/.f64 2 alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(+.f64 -2 (+.f64 (neg.f64 beta) (neg.f64 beta)))
(+.f64 -2 (-.f64 (neg.f64 beta) beta))
(+.f64 -2 (neg.f64 (+.f64 beta beta)))
(+.f64 -2 (+.f64 (+.f64 (neg.f64 beta) (neg.f64 beta)) (fma.f64 (neg.f64 beta) 1 beta)))
(+.f64 -2 (+.f64 (-.f64 (neg.f64 beta) beta) (fma.f64 (neg.f64 beta) 1 beta)))
(+.f64 -2 (+.f64 (neg.f64 (+.f64 beta beta)) (fma.f64 (neg.f64 beta) 1 beta)))
(+.f64 -2 (+.f64 (+.f64 (neg.f64 beta) (neg.f64 beta)) (fma.f64 (neg.f64 (sqrt.f64 beta)) (sqrt.f64 beta) beta)))
(+.f64 -2 (+.f64 (-.f64 (neg.f64 beta) beta) (fma.f64 (neg.f64 (sqrt.f64 beta)) (sqrt.f64 beta) beta)))
(+.f64 -2 (+.f64 (neg.f64 (+.f64 beta beta)) (fma.f64 (neg.f64 (sqrt.f64 beta)) (sqrt.f64 beta) beta)))
(+.f64 -2 (+.f64 (+.f64 (neg.f64 beta) (neg.f64 beta)) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta)))
(+.f64 -2 (+.f64 (-.f64 (neg.f64 beta) beta) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta)))
(+.f64 -2 (+.f64 (neg.f64 (+.f64 beta beta)) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta)))
(+.f64 beta (+.f64 2 beta))
(+.f64 (-.f64 -2 beta) (neg.f64 beta))
(+.f64 (-.f64 -2 beta) (+.f64 (neg.f64 beta) (fma.f64 (neg.f64 beta) 1 beta)))
(+.f64 (-.f64 -2 beta) (+.f64 (neg.f64 beta) (fma.f64 (neg.f64 (sqrt.f64 beta)) (sqrt.f64 beta) beta)))
(+.f64 (-.f64 -2 beta) (+.f64 (neg.f64 beta) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta)))
(+.f64 (+.f64 beta (+.f64 2 beta)) 0)
(+.f64 (+.f64 beta (+.f64 2 beta)) (fma.f64 (neg.f64 beta) 1 beta))
(+.f64 (+.f64 beta (+.f64 2 beta)) (fma.f64 (neg.f64 (sqrt.f64 beta)) (sqrt.f64 beta) beta))
(+.f64 (+.f64 beta (+.f64 2 beta)) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta))
(+.f64 (+.f64 beta (+.f64 2 beta)) (+.f64 (fma.f64 (neg.f64 beta) 1 beta) (fma.f64 (neg.f64 beta) 1 beta)))
(+.f64 (+.f64 beta (+.f64 2 beta)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 beta)) (sqrt.f64 beta) beta) (fma.f64 (neg.f64 beta) 1 beta)))
(+.f64 (+.f64 beta (+.f64 2 beta)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta) (fma.f64 (neg.f64 beta) 1 beta)))
(+.f64 (+.f64 beta (+.f64 2 beta)) (+.f64 (fma.f64 (neg.f64 beta) 1 beta) (fma.f64 (neg.f64 (sqrt.f64 beta)) (sqrt.f64 beta) beta)))
(+.f64 (+.f64 beta (+.f64 2 beta)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 beta)) (sqrt.f64 beta) beta) (fma.f64 (neg.f64 (sqrt.f64 beta)) (sqrt.f64 beta) beta)))
(+.f64 (+.f64 beta (+.f64 2 beta)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta) (fma.f64 (neg.f64 (sqrt.f64 beta)) (sqrt.f64 beta) beta)))
(+.f64 (+.f64 beta (+.f64 2 beta)) (+.f64 (fma.f64 (neg.f64 beta) 1 beta) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta)))
(+.f64 (+.f64 beta (+.f64 2 beta)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 beta)) (sqrt.f64 beta) beta) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta)))
(+.f64 (+.f64 beta (+.f64 2 beta)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta)))
(+.f64 (+.f64 beta beta) 2)
(+.f64 (neg.f64 beta) (-.f64 -2 beta))
(+.f64 (neg.f64 beta) (+.f64 (-.f64 -2 beta) (fma.f64 (neg.f64 beta) 1 beta)))
(+.f64 (neg.f64 beta) (+.f64 (-.f64 -2 beta) (fma.f64 (neg.f64 (sqrt.f64 beta)) (sqrt.f64 beta) beta)))
(+.f64 (neg.f64 beta) (+.f64 (-.f64 -2 beta) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta)))
(+.f64 0 (+.f64 beta (+.f64 2 beta)))
(+.f64 2 (+.f64 beta beta))
(+.f64 2 (-.f64 beta (neg.f64 beta)))
(+.f64 2 (+.f64 (+.f64 beta beta) (fma.f64 (neg.f64 beta) 1 beta)))
(+.f64 2 (+.f64 (+.f64 beta beta) (fma.f64 (neg.f64 (sqrt.f64 beta)) (sqrt.f64 beta) beta)))
(+.f64 2 (+.f64 (+.f64 beta beta) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta)))
(+.f64 (+.f64 (neg.f64 beta) (neg.f64 beta)) -2)
(+.f64 (+.f64 2 beta) beta)
(+.f64 (+.f64 2 beta) (+.f64 beta (fma.f64 (neg.f64 beta) 1 beta)))
(+.f64 (+.f64 2 beta) (+.f64 beta (fma.f64 (neg.f64 (sqrt.f64 beta)) (sqrt.f64 beta) beta)))
(+.f64 (+.f64 2 beta) (+.f64 beta (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta)))
(+.f64 (-.f64 (neg.f64 beta) beta) -2)
(+.f64 (*.f64 (neg.f64 beta) -1) (*.f64 (-.f64 -2 beta) -1))
(+.f64 (*.f64 (-.f64 -2 beta) -1) (*.f64 (neg.f64 beta) -1))
(+.f64 (*.f64 (-.f64 -2 beta) -1) (+.f64 (*.f64 (neg.f64 beta) -1) (fma.f64 (neg.f64 beta) 1 beta)))
(+.f64 (*.f64 (-.f64 -2 beta) -1) (+.f64 (*.f64 (neg.f64 beta) -1) (fma.f64 (neg.f64 (sqrt.f64 beta)) (sqrt.f64 beta) beta)))
(+.f64 (*.f64 (-.f64 -2 beta) -1) (+.f64 (*.f64 (neg.f64 beta) -1) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta)))
(+.f64 (neg.f64 (-.f64 -2 beta)) (neg.f64 (neg.f64 beta)))
(+.f64 (neg.f64 (-.f64 -2 beta)) (+.f64 (neg.f64 (neg.f64 beta)) (fma.f64 (neg.f64 beta) 1 beta)))
(+.f64 (neg.f64 (-.f64 -2 beta)) (+.f64 (neg.f64 (neg.f64 beta)) (fma.f64 (neg.f64 (sqrt.f64 beta)) (sqrt.f64 beta) beta)))
(+.f64 (neg.f64 (-.f64 -2 beta)) (+.f64 (neg.f64 (neg.f64 beta)) (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta)))
(+.f64 (neg.f64 (neg.f64 beta)) (neg.f64 (-.f64 -2 beta)))
(+.f64 (neg.f64 (+.f64 beta beta)) -2)
(+.f64 (fma.f64 (neg.f64 beta) 1 beta) (+.f64 beta (+.f64 2 beta)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 beta)) (sqrt.f64 beta) beta) (+.f64 beta (+.f64 2 beta)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2) beta) (+.f64 beta (+.f64 2 beta)))
(+.f64 (+.f64 0 (-.f64 -2 beta)) (neg.f64 beta))
(+.f64 (+.f64 0 (neg.f64 beta)) (-.f64 -2 beta))
(+.f64 (+.f64 0 (+.f64 2 beta)) beta)
(+.f64 (+.f64 0 (*.f64 (-.f64 -2 beta) -1)) (*.f64 (neg.f64 beta) -1))
(+.f64 (+.f64 0 (neg.f64 (-.f64 -2 beta))) (neg.f64 (neg.f64 beta)))
(+.f64 (-.f64 0 (+.f64 2 beta)) (neg.f64 beta))
(+.f64 (-.f64 (-.f64 -2 beta) (exp.f64 (log1p.f64 beta))) 1)
(+.f64 (-.f64 0 (exp.f64 (log.f64 (+.f64 3 (+.f64 beta beta))))) 1)
(+.f64 (-.f64 0 (/.f64 (pow.f64 (-.f64 -2 beta) 2) (-.f64 -2 (-.f64 beta beta)))) (/.f64 (*.f64 beta beta) (-.f64 -2 (-.f64 beta beta))))
(+.f64 (-.f64 0 (/.f64 (pow.f64 (-.f64 -2 beta) 3) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (-.f64 -2 (-.f64 beta beta)))))) (/.f64 (pow.f64 beta 3) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (-.f64 -2 (-.f64 beta beta))))))
(+.f64 (-.f64 (+.f64 2 beta) 0) beta)
(*.f64 (+.f64 beta (+.f64 2 beta)) 1)
(*.f64 (+.f64 beta (+.f64 2 beta)) -1)
(*.f64 1 (+.f64 beta (+.f64 2 beta)))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) (sqrt.f64 (+.f64 beta (+.f64 2 beta))))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) -1))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta)))))
(*.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2))
(*.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2) -1))
(*.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2) (cbrt.f64 (+.f64 beta (+.f64 2 beta))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2) (neg.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta)))))
(*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (/.f64 1 (-.f64 -2 (-.f64 beta beta))))
(*.f64 -1 (+.f64 beta (+.f64 2 beta)))
(*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (-.f64 -2 (-.f64 beta beta))))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) -1) (sqrt.f64 (+.f64 beta (+.f64 2 beta))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2) -1) (cbrt.f64 (+.f64 beta (+.f64 2 beta))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta)))) (sqrt.f64 (+.f64 beta (+.f64 2 beta))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2)) (cbrt.f64 (+.f64 beta (+.f64 2 beta))))
(*.f64 (neg.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2))
(*.f64 (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)))
(*.f64 (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)) (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)))
(*.f64 (/.f64 1 (-.f64 -2 (-.f64 beta beta))) (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (-.f64 -2 (-.f64 beta beta))))) (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta))) (+.f64 beta (+.f64 2 beta)))
(*.f64 (/.f64 (-.f64 0 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) 1) (/.f64 1 (+.f64 beta (+.f64 2 beta))))
(*.f64 (/.f64 (-.f64 0 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta))) (-.f64 -2 (-.f64 beta beta)))
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(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) 1) (-.f64 -2 (-.f64 beta beta)))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (sqrt.f64 (-.f64 -2 (-.f64 beta beta)))) (sqrt.f64 (-.f64 -2 (-.f64 beta beta))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) (*.f64 (cbrt.f64 (-.f64 -2 (-.f64 beta beta))) (cbrt.f64 (-.f64 -2 (-.f64 beta beta))))) (cbrt.f64 (-.f64 -2 (-.f64 beta beta))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) 1) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (-.f64 -2 (-.f64 beta beta)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (-.f64 -2 (-.f64 beta beta)))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (-.f64 -2 (-.f64 beta beta))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (-.f64 -2 (-.f64 beta beta))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (-.f64 -2 (-.f64 beta beta))))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (-.f64 -2 (-.f64 beta beta))))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) -1) 1) (-.f64 -2 (-.f64 beta beta)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) -1) (sqrt.f64 (-.f64 -2 (-.f64 beta beta)))) (sqrt.f64 (-.f64 -2 (-.f64 beta beta))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta)) -1) (*.f64 (cbrt.f64 (-.f64 -2 (-.f64 beta beta))) (cbrt.f64 (-.f64 -2 (-.f64 beta beta))))) (cbrt.f64 (-.f64 -2 (-.f64 beta beta))))
(/.f64 (/.f64 (*.f64 -1 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) 1) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (-.f64 -2 (-.f64 beta beta)))))
(/.f64 (/.f64 (*.f64 -1 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (-.f64 -2 (-.f64 beta beta)))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (-.f64 -2 (-.f64 beta beta))))))
(/.f64 (/.f64 (*.f64 -1 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (-.f64 -2 (-.f64 beta beta))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (-.f64 -2 (-.f64 beta beta))))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (-.f64 -2 (-.f64 beta beta))))))
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta))) 1) (-.f64 -2 (-.f64 beta beta)))
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta))) (sqrt.f64 (-.f64 -2 (-.f64 beta beta)))) (sqrt.f64 (-.f64 -2 (-.f64 beta beta))))
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta))) (*.f64 (cbrt.f64 (-.f64 -2 (-.f64 beta beta))) (cbrt.f64 (-.f64 -2 (-.f64 beta beta))))) (cbrt.f64 (-.f64 -2 (-.f64 beta beta))))
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) 1) (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (-.f64 -2 (-.f64 beta beta)))))
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (-.f64 -2 (-.f64 beta beta)))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (-.f64 -2 (-.f64 beta beta))))))
(/.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (-.f64 -2 (-.f64 beta beta))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (-.f64 -2 (-.f64 beta beta))))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (-.f64 -2 (-.f64 beta beta))))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) 1) (+.f64 beta (+.f64 2 beta)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (sqrt.f64 (+.f64 beta (+.f64 2 beta)))) (sqrt.f64 (+.f64 beta (+.f64 2 beta))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (sqrt.f64 (+.f64 beta (+.f64 2 beta)))) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta)))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (cbrt.f64 (+.f64 beta (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2)) (cbrt.f64 (+.f64 beta (+.f64 2 beta))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2)) (neg.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta)))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta))) (/.f64 1 (-.f64 -2 (-.f64 beta beta))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) -1) (+.f64 beta (+.f64 2 beta)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (/.f64 1 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (-.f64 -2 (-.f64 beta beta))))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) -1)) (sqrt.f64 (+.f64 beta (+.f64 2 beta))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2) -1)) (cbrt.f64 (+.f64 beta (+.f64 2 beta))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))))) (sqrt.f64 (+.f64 beta (+.f64 2 beta))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2))) (cbrt.f64 (+.f64 beta (+.f64 2 beta))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta))) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)))
(pow.f64 (+.f64 beta (+.f64 2 beta)) 1)
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) 2)
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 3)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 3) 1/3)
(neg.f64 (+.f64 beta (+.f64 2 beta)))
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2))
(log.f64 (exp.f64 (+.f64 beta (+.f64 2 beta))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 2 beta)))))
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 3))
(expm1.f64 (log.f64 (+.f64 3 (+.f64 beta beta))))
(exp.f64 (log.f64 (+.f64 beta (+.f64 2 beta))))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 2 beta))))
(fma.f64 1 (-.f64 -2 beta) (neg.f64 beta))
(fma.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 (-.f64 -2 beta)) (neg.f64 beta))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (-.f64 -2 beta)) (neg.f64 beta))
(+.f64 0 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))) 1)
(+.f64 (-.f64 0 (/.f64 -2 alpha)) (/.f64 beta (/.f64 alpha 2)))
(+.f64 (-.f64 0 (/.f64 (-.f64 -2 beta) alpha)) (/.f64 beta alpha))
(+.f64 (-.f64 0 (/.f64 0 alpha)) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
(+.f64 (-.f64 (/.f64 0 alpha) 0) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
(+.f64 (-.f64 (/.f64 0 alpha) (exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))) 1)
(+.f64 (-.f64 (/.f64 0 alpha) (/.f64 -2 alpha)) (/.f64 beta (/.f64 alpha 2)))
(+.f64 (-.f64 (/.f64 0 alpha) (/.f64 (-.f64 -2 beta) alpha)) (/.f64 beta alpha))
(+.f64 (-.f64 (/.f64 0 alpha) (/.f64 0 alpha)) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
(-.f64 0 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))) 1)
(-.f64 (/.f64 -2 alpha) (/.f64 beta (/.f64 alpha 2)))
(-.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta alpha))
(-.f64 (/.f64 0 alpha) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
(*.f64 (+.f64 beta (+.f64 2 beta)) (/.f64 1 alpha))
(*.f64 (+.f64 beta (+.f64 2 beta)) (/.f64 -1 alpha))
(*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 1)
(*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) -1)
(*.f64 1 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) (/.f64 1 alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2) (*.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) (/.f64 1 alpha)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))
(*.f64 -1 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
(*.f64 (/.f64 1 alpha) (+.f64 beta (+.f64 2 beta)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) (/.f64 1 alpha)) (sqrt.f64 (+.f64 beta (+.f64 2 beta))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) (/.f64 1 alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2))
(*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))
(*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) (sqrt.f64 alpha)) (/.f64 -1 (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta (+.f64 2 beta)) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 beta (+.f64 2 beta)) (cbrt.f64 alpha)))
(*.f64 (/.f64 -1 alpha) (+.f64 beta (+.f64 2 beta)))
(*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) (cbrt.f64 alpha)) (/.f64 -1 (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) 1) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) alpha) (sqrt.f64 (+.f64 beta (+.f64 2 beta))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) alpha) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) 1))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) (cbrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) alpha))
(*.f64 (/.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) alpha) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) (sqrt.f64 alpha)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) (sqrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))
(*.f64 (/.f64 -1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta (+.f64 2 beta)) (sqrt.f64 alpha)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 beta (+.f64 2 beta)) (cbrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2) alpha) (cbrt.f64 (+.f64 beta (+.f64 2 beta))))
(*.f64 (/.f64 1 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2))) (cbrt.f64 (+.f64 beta (+.f64 2 beta))))
(*.f64 (/.f64 1 (/.f64 alpha -1)) (+.f64 beta (+.f64 2 beta)))
(*.f64 (/.f64 -1 (/.f64 alpha 1)) (+.f64 beta (+.f64 2 beta)))
(*.f64 (/.f64 -1 (/.f64 alpha (sqrt.f64 (+.f64 beta (+.f64 2 beta))))) (sqrt.f64 (+.f64 beta (+.f64 2 beta))))
(*.f64 (/.f64 -1 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2))) (cbrt.f64 (+.f64 beta (+.f64 2 beta))))
(*.f64 (/.f64 -1 (/.f64 alpha -1)) (+.f64 beta (+.f64 2 beta)))
(pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 3) 1/3)
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 beta))) -1)
(neg.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))
Outputs
-2
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(*.f64 -2 beta)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(*.f64 -2 beta)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(/.f64 2 alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(*.f64 2 (/.f64 beta alpha))
(/.f64 beta (/.f64 alpha 2))
(/.f64 2 (/.f64 alpha beta))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(*.f64 2 (/.f64 beta alpha))
(/.f64 beta (/.f64 alpha 2))
(/.f64 2 (/.f64 alpha beta))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(+.f64 -2 (+.f64 (neg.f64 beta) (neg.f64 beta)))
(fma.f64 -2 beta -2)
(+.f64 -2 (-.f64 (neg.f64 beta) beta))
(fma.f64 -2 beta -2)
(+.f64 -2 (neg.f64 (+.f64 beta beta)))
(fma.f64 -2 beta -2)
(+.f64 -2 (+.f64 (+.f64 (neg.f64 beta) (neg.f64 beta)) (fma.f64 (neg.f64 beta) 1 beta)))
(fma.f64 -2 beta -2)
(+.f64 -2 (+.f64 (-.f64 (neg.f64 beta) beta) (fma.f64 (neg.f64 beta) 1 beta)))
(fma.f64 -2 beta -2)
(+.f64 -2 (+.f64 (neg.f64 (+.f64 beta beta)) (fma.f64 (neg.f64 beta) 1 beta)))
(fma.f64 -2 beta -2)
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(*.f64 -2 (/.f64 (neg.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2)) (-.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta beta))))
(/.f64 (neg.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2)) (*.f64 (*.f64 -2 (fma.f64 -2 beta -2)) -1/2))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) -1) (+.f64 beta (+.f64 2 beta)))
(/.f64 (neg.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2)) (/.f64 (+.f64 beta (+.f64 beta 2)) -1))
(/.f64 (neg.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2)) (fma.f64 -2 beta -2))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))) (/.f64 1 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 beta (-.f64 -2 (-.f64 beta beta))))))
(*.f64 (+.f64 (pow.f64 (-.f64 -2 beta) 2) (*.f64 -2 beta)) (/.f64 (neg.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2)) (-.f64 (pow.f64 (-.f64 -2 beta) 3) (pow.f64 beta 3))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) -1)) (sqrt.f64 (+.f64 beta (+.f64 2 beta))))
(/.f64 (neg.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2)) (/.f64 (+.f64 beta (+.f64 beta 2)) -1))
(/.f64 (neg.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2)) (fma.f64 -2 beta -2))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2) -1)) (cbrt.f64 (+.f64 beta (+.f64 2 beta))))
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(/.f64 (neg.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2)) (fma.f64 -2 beta -2))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))))) (sqrt.f64 (+.f64 beta (+.f64 2 beta))))
(/.f64 (neg.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2)) (/.f64 (+.f64 beta (+.f64 beta 2)) -1))
(/.f64 (neg.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2)) (fma.f64 -2 beta -2))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2))) (cbrt.f64 (+.f64 beta (+.f64 2 beta))))
(/.f64 (neg.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2)) (/.f64 (+.f64 beta (+.f64 beta 2)) -1))
(/.f64 (neg.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2)) (fma.f64 -2 beta -2))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2)) (+.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta))) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta)))
(/.f64 (neg.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2)) (*.f64 (+.f64 (sqrt.f64 beta) (sqrt.f64 (-.f64 -2 beta))) (-.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 beta))))
(pow.f64 (+.f64 beta (+.f64 2 beta)) 1)
(+.f64 beta (+.f64 beta 2))
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) 2)
(+.f64 beta (+.f64 beta 2))
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 3)
(+.f64 beta (+.f64 beta 2))
(pow.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 3) 1/3)
(+.f64 beta (+.f64 beta 2))
(neg.f64 (+.f64 beta (+.f64 2 beta)))
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(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 2))
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 beta 2)) 2))
(log.f64 (exp.f64 (+.f64 beta (+.f64 2 beta))))
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(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 2 beta)))))
(+.f64 beta (+.f64 beta 2))
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 2 beta)) 3))
(+.f64 beta (+.f64 beta 2))
(expm1.f64 (log.f64 (+.f64 3 (+.f64 beta beta))))
(expm1.f64 (log.f64 (+.f64 (+.f64 beta beta) 3)))
(expm1.f64 (log.f64 (+.f64 beta (+.f64 beta 3))))
(exp.f64 (log.f64 (+.f64 beta (+.f64 2 beta))))
(+.f64 beta (+.f64 beta 2))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 2 beta))))
(+.f64 beta (+.f64 beta 2))
(fma.f64 1 (-.f64 -2 beta) (neg.f64 beta))
(fma.f64 -2 beta -2)
(fma.f64 (sqrt.f64 (-.f64 -2 beta)) (sqrt.f64 (-.f64 -2 beta)) (neg.f64 beta))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (cbrt.f64 (-.f64 -2 beta)) (neg.f64 beta))
(+.f64 0 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
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(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))) 1)
(/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)
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(+.f64 (-.f64 0 (/.f64 -2 alpha)) (/.f64 beta (/.f64 alpha 2)))
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(+.f64 (-.f64 0 (/.f64 (-.f64 -2 beta) alpha)) (/.f64 beta alpha))
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(+.f64 (-.f64 0 (/.f64 0 alpha)) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(+.f64 (-.f64 (/.f64 0 alpha) 0) (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(+.f64 (-.f64 (/.f64 0 alpha) (exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))) 1)
(/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)
(/.f64 (fma.f64 -2 beta -2) alpha)
(+.f64 (-.f64 (/.f64 0 alpha) (/.f64 -2 alpha)) (/.f64 beta (/.f64 alpha 2)))
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(+.f64 (-.f64 (/.f64 0 alpha) (/.f64 (-.f64 -2 beta) alpha)) (/.f64 beta alpha))
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(-.f64 (/.f64 -2 alpha) (/.f64 beta (/.f64 alpha 2)))
(+.f64 (/.f64 -2 alpha) (/.f64 (*.f64 -2 beta) alpha))
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(*.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) (/.f64 1 alpha)))
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))
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(*.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2))
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta 2))) 2) (pow.f64 (cbrt.f64 alpha) 2)))
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(*.f64 -1 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
(/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)
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(*.f64 (*.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) (/.f64 1 alpha)) (sqrt.f64 (+.f64 beta (+.f64 2 beta))))
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(*.f64 (*.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) (/.f64 1 alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2))
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))
(*.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) (sqrt.f64 alpha)) (/.f64 -1 (sqrt.f64 alpha)))
(*.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) (sqrt.f64 alpha)) (/.f64 -1 (sqrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 -2 beta -2) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta (+.f64 2 beta)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 beta (+.f64 2 beta)) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 beta (+.f64 beta 2)) (cbrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(*.f64 (/.f64 -1 alpha) (+.f64 beta (+.f64 2 beta)))
(/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)
(/.f64 (fma.f64 -2 beta -2) alpha)
(*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 beta (+.f64 beta 2)) (cbrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(*.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) (cbrt.f64 alpha)) (/.f64 -1 (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) (cbrt.f64 alpha)) (/.f64 -1 (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (fma.f64 -2 beta -2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) 1) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) alpha))
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) alpha) (sqrt.f64 (+.f64 beta (+.f64 2 beta))))
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) alpha) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) 1))
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 beta (+.f64 beta 2)) (cbrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 beta))) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 beta (+.f64 beta 2)) (cbrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) alpha))
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(*.f64 (/.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) alpha) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2) 1))
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) (sqrt.f64 alpha)))
(*.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(*.f64 (/.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) (sqrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta 2))) 2) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 -1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta (+.f64 2 beta)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) (sqrt.f64 alpha)) (/.f64 -1 (sqrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 -2 beta -2) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 beta (+.f64 2 beta)) (cbrt.f64 alpha)))
(*.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) (cbrt.f64 alpha)) (/.f64 -1 (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (fma.f64 -2 beta -2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2) alpha) (cbrt.f64 (+.f64 beta (+.f64 2 beta))))
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(*.f64 (/.f64 1 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2))) (cbrt.f64 (+.f64 beta (+.f64 2 beta))))
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(*.f64 (/.f64 1 (/.f64 alpha -1)) (+.f64 beta (+.f64 2 beta)))
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(/.f64 (fma.f64 -2 beta -2) alpha)
(*.f64 (/.f64 -1 (/.f64 alpha (sqrt.f64 (+.f64 beta (+.f64 2 beta))))) (sqrt.f64 (+.f64 beta (+.f64 2 beta))))
(/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)
(/.f64 (fma.f64 -2 beta -2) alpha)
(*.f64 (/.f64 -1 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 beta))) 2))) (cbrt.f64 (+.f64 beta (+.f64 2 beta))))
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(/.f64 (fma.f64 -2 beta -2) alpha)
(*.f64 (/.f64 -1 (/.f64 alpha -1)) (+.f64 beta (+.f64 2 beta)))
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 1)
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 2)
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)) 3)
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 3) 1/3)
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(pow.f64 (/.f64 alpha (+.f64 beta (+.f64 2 beta))) -1)
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(neg.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))
(/.f64 (-.f64 (-.f64 -2 beta) beta) alpha)
(/.f64 (fma.f64 -2 beta -2) alpha)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha))))
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha) 3))
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(exp.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta (+.f64 2 beta)) alpha)))
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)

eval664.0ms (7.9%)

Compiler

Compiled 16891 to 12306 computations (27.1% saved)

prune203.0ms (2.4%)

Pruning

16 alts after pruning (8 fresh and 8 done)

PrunedKeptTotal
New7083711
Fresh156
Picked101
Done088
Total71016726
Error
0b
Counts
726 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
33.4b
(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
45.3b
(/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2)
45.3b
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
56.1b
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2)
50.8b
(/.f64 (/.f64 2 alpha) 2)
43.0b
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
33.4b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
35.2b
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
16.3b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
18.1b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
36.9b
(/.f64 (+.f64 1 (*.f64 1/2 beta)) 2)
56.1b
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
56.9b
(/.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 (+.f64 beta (+.f64 beta -2)) (/.f64 (+.f64 2 beta) (/.f64 alpha (+.f64 2 (+.f64 beta beta)))))) (*.f64 alpha alpha))) 2)
46.6b
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (*.f64 beta (+.f64 beta beta)) (*.f64 alpha alpha)))) 2)
38.8b
(/.f64 2 2)
34.3b
(/.f64 1 2)
Compiler

Compiled 322 to 247 computations (23.3% saved)

localize73.0ms (0.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 alpha (+.f64 alpha 2))
0.0b
(/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
0.1b
(*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))
2.0b
(-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha))))
Compiler

Compiled 97 to 68 computations (29.9% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite98.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1724×associate-/l/
1220×distribute-lft-in
350×add-sqr-sqrt
338×pow1
338×*-un-lft-identity
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01493
133793
2505963
Stop Event
node limit
Counts
3 → 181
Calls
Call 1
Inputs
(-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha))))
(*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))
(/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))
Outputs
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1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha (/.f64 1 (+.f64 alpha 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))) (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 2) (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 1)))))

simplify152.0ms (1.8%)

Algorithm
egg-herbie
Rules
744×+-commutative
740×times-frac
690×associate-/r*
610×associate-/l*
592×associate-+r-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04658011
113157691
266397663
Stop Event
node limit
Counts
217 → 296
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/4 (pow.f64 alpha 2)))
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 alpha 3)) (+.f64 (*.f64 -3/16 (pow.f64 alpha 4)) (*.f64 -1/4 (pow.f64 alpha 2)))))
(/.f64 4 alpha)
(-.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) (*.f64 80 (/.f64 1 (pow.f64 alpha 4)))))
(/.f64 4 alpha)
(-.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) (*.f64 80 (/.f64 1 (pow.f64 alpha 4)))))
(*.f64 1/4 (pow.f64 alpha 2))
(+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (*.f64 1/4 (pow.f64 alpha 2)))
(+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (+.f64 (*.f64 3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1/8 (pow.f64 alpha 5)) (+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (+.f64 (*.f64 3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 2)))))
1
(-.f64 1 (*.f64 4 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (*.f64 4 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))))
1
(-.f64 1 (*.f64 4 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (*.f64 4 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))))
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))
(+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) 1)
(+.f64 (-.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 1)
(*.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 1)
(*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))
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(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3) 1/3)
(pow.f64 (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) -1)
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 3) (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3)))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha)))))
(exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(fma.f64 1 (/.f64 alpha (-.f64 -2 alpha)) 1)
(fma.f64 alpha (/.f64 1 (+.f64 alpha 2)) 1)
(fma.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))) (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 2) (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 1)
Outputs
1
(+.f64 1 (*.f64 -1/4 (pow.f64 alpha 2)))
(+.f64 1 (*.f64 -1/4 (*.f64 alpha alpha)))
(fma.f64 -1/4 (*.f64 alpha alpha) 1)
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 alpha 3)) (*.f64 -1/4 (pow.f64 alpha 2))))
(+.f64 1 (fma.f64 1/4 (pow.f64 alpha 3) (*.f64 -1/4 (*.f64 alpha alpha))))
(+.f64 1 (fma.f64 1/4 (pow.f64 alpha 3) (*.f64 (*.f64 -1/4 alpha) alpha)))
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 alpha 3)) (+.f64 (*.f64 -3/16 (pow.f64 alpha 4)) (*.f64 -1/4 (pow.f64 alpha 2)))))
(+.f64 1 (fma.f64 1/4 (pow.f64 alpha 3) (fma.f64 -3/16 (pow.f64 alpha 4) (*.f64 -1/4 (*.f64 alpha alpha)))))
(+.f64 1 (fma.f64 1/4 (pow.f64 alpha 3) (fma.f64 -3/16 (pow.f64 alpha 4) (*.f64 (*.f64 -1/4 alpha) alpha))))
(/.f64 4 alpha)
(-.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 4 alpha) (/.f64 12 (*.f64 alpha alpha)))
(-.f64 (/.f64 4 alpha) (/.f64 (/.f64 12 alpha) alpha))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (/.f64 12 (*.f64 alpha alpha))))
(+.f64 (/.f64 4 alpha) (-.f64 (/.f64 32 (pow.f64 alpha 3)) (/.f64 (/.f64 12 alpha) alpha)))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) (*.f64 80 (/.f64 1 (pow.f64 alpha 4)))))
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (+.f64 (/.f64 12 (*.f64 alpha alpha)) (/.f64 80 (pow.f64 alpha 4)))))
(-.f64 (+.f64 (/.f64 4 alpha) (-.f64 (/.f64 32 (pow.f64 alpha 3)) (/.f64 (/.f64 12 alpha) alpha))) (/.f64 80 (pow.f64 alpha 4)))
(/.f64 4 alpha)
(-.f64 (*.f64 4 (/.f64 1 alpha)) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 4 alpha) (/.f64 12 (*.f64 alpha alpha)))
(-.f64 (/.f64 4 alpha) (/.f64 (/.f64 12 alpha) alpha))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (*.f64 12 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (/.f64 12 (*.f64 alpha alpha))))
(+.f64 (/.f64 4 alpha) (-.f64 (/.f64 32 (pow.f64 alpha 3)) (/.f64 (/.f64 12 alpha) alpha)))
(-.f64 (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))) (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) (*.f64 80 (/.f64 1 (pow.f64 alpha 4)))))
(+.f64 (/.f64 32 (pow.f64 alpha 3)) (-.f64 (/.f64 4 alpha) (+.f64 (/.f64 12 (*.f64 alpha alpha)) (/.f64 80 (pow.f64 alpha 4)))))
(-.f64 (+.f64 (/.f64 4 alpha) (-.f64 (/.f64 32 (pow.f64 alpha 3)) (/.f64 (/.f64 12 alpha) alpha))) (/.f64 80 (pow.f64 alpha 4)))
(*.f64 1/4 (pow.f64 alpha 2))
(*.f64 1/4 (*.f64 alpha alpha))
(*.f64 alpha (*.f64 alpha 1/4))
(+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (*.f64 1/4 (pow.f64 alpha 2)))
(fma.f64 -1/4 (pow.f64 alpha 3) (*.f64 1/4 (*.f64 alpha alpha)))
(fma.f64 -1/4 (pow.f64 alpha 3) (*.f64 alpha (*.f64 alpha 1/4)))
(+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (+.f64 (*.f64 3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 2))))
(fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 3/16 (pow.f64 alpha 4) (*.f64 1/4 (*.f64 alpha alpha))))
(fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 1/4 (*.f64 alpha alpha) (*.f64 (pow.f64 alpha 4) 3/16)))
(+.f64 (*.f64 -1/8 (pow.f64 alpha 5)) (+.f64 (*.f64 -1/4 (pow.f64 alpha 3)) (+.f64 (*.f64 3/16 (pow.f64 alpha 4)) (*.f64 1/4 (pow.f64 alpha 2)))))
(fma.f64 -1/8 (pow.f64 alpha 5) (fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 3/16 (pow.f64 alpha 4) (*.f64 1/4 (*.f64 alpha alpha)))))
(fma.f64 -1/8 (pow.f64 alpha 5) (fma.f64 -1/4 (pow.f64 alpha 3) (fma.f64 1/4 (*.f64 alpha alpha) (*.f64 (pow.f64 alpha 4) 3/16))))
1
(-.f64 1 (*.f64 4 (/.f64 1 alpha)))
(-.f64 1 (/.f64 4 alpha))
(+.f64 1 (/.f64 -4 alpha))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (*.f64 4 (/.f64 1 alpha)))
(+.f64 (/.f64 12 (*.f64 alpha alpha)) (-.f64 1 (/.f64 4 alpha)))
(+.f64 1 (+.f64 (/.f64 (/.f64 12 alpha) alpha) (/.f64 -4 alpha)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))))
(-.f64 (+.f64 1 (/.f64 12 (*.f64 alpha alpha))) (+.f64 (/.f64 4 alpha) (/.f64 32 (pow.f64 alpha 3))))
(+.f64 (/.f64 (/.f64 12 alpha) alpha) (-.f64 (+.f64 1 (/.f64 -4 alpha)) (/.f64 32 (pow.f64 alpha 3))))
1
(-.f64 1 (*.f64 4 (/.f64 1 alpha)))
(-.f64 1 (/.f64 4 alpha))
(+.f64 1 (/.f64 -4 alpha))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (*.f64 4 (/.f64 1 alpha)))
(+.f64 (/.f64 12 (*.f64 alpha alpha)) (-.f64 1 (/.f64 4 alpha)))
(+.f64 1 (+.f64 (/.f64 (/.f64 12 alpha) alpha) (/.f64 -4 alpha)))
(-.f64 (+.f64 (*.f64 12 (/.f64 1 (pow.f64 alpha 2))) 1) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 alpha 3))) (*.f64 4 (/.f64 1 alpha))))
(-.f64 (+.f64 1 (/.f64 12 (*.f64 alpha alpha))) (+.f64 (/.f64 4 alpha) (/.f64 32 (pow.f64 alpha 3))))
(+.f64 (/.f64 (/.f64 12 alpha) alpha) (-.f64 (+.f64 1 (/.f64 -4 alpha)) (/.f64 32 (pow.f64 alpha 3))))
1
(+.f64 1 (*.f64 -1/2 alpha))
(+.f64 1 (*.f64 alpha -1/2))
(fma.f64 alpha -1/2 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 (*.f64 alpha (*.f64 alpha 1/4)) (fma.f64 alpha -1/2 1))
(+.f64 (*.f64 -1/8 (pow.f64 alpha 3)) (+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2)))))
(fma.f64 -1/8 (pow.f64 alpha 3) (+.f64 1 (fma.f64 -1/2 alpha (*.f64 1/4 (*.f64 alpha alpha)))))
(fma.f64 (pow.f64 alpha 3) -1/8 (+.f64 (*.f64 alpha (*.f64 alpha 1/4)) (fma.f64 alpha -1/2 1)))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (/.f64 2 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 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 8 (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 16 (pow.f64 alpha 4))))
(+.f64 (/.f64 2 alpha) (-.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha))) (/.f64 16 (pow.f64 alpha 4))))
(/.f64 2 alpha)
(-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 3))) (*.f64 2 (/.f64 1 alpha))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (/.f64 2 alpha) (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 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 8 (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 2 alpha) (/.f64 -4 (*.f64 alpha alpha))) (/.f64 16 (pow.f64 alpha 4))))
(+.f64 (/.f64 2 alpha) (-.f64 (-.f64 (/.f64 8 (pow.f64 alpha 3)) (/.f64 4 (*.f64 alpha alpha))) (/.f64 16 (pow.f64 alpha 4))))
(+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))
(+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) 1)
(+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))
(+.f64 (-.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 1)
(-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))
(*.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))
(+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 1)
(+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))
(*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))
(+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2))
(+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))
(+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))) (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6)) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))) (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6)) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))))
(/.f64 1 (*.f64 1 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)))
(/.f64 1 (*.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))) (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6)))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))) (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6)) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 1)
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(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))) (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) -1))
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(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6))) (*.f64 1 (neg.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6))) (+.f64 -1 (neg.f64 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4)))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 6)) (-.f64 -1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2) (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 4))))
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(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2) (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
(pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 3)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3) 1/3)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(pow.f64 (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)) -1)
(+.f64 1 (-.f64 0 (/.f64 alpha (-.f64 -2 alpha))))
(-.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (/.f64 -1 (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2))) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))
(/.f64 (-.f64 -1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) (+.f64 (/.f64 alpha (-.f64 -2 alpha)) -1))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 2))
(fabs.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))
(log.f64 (exp.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 -2 alpha)) 2)) 3) (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3)))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha)))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))) 1))
(exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(fma.f64 1 (/.f64 alpha (-.f64 -2 alpha)) 1)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(fma.f64 alpha (/.f64 1 (+.f64 alpha 2)) 1)
(+.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(fma.f64 (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))) (sqrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 1)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 2) (cbrt.f64 (/.f64 alpha (-.f64 -2 alpha))) 1)
(+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))

localize5.0ms (0.1%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize13.0ms (0.2%)

Compiler

Compiled 21 to 17 computations (19% saved)

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 29 to 18 computations (37.9% saved)

series2.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite183.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
1372×associate-*l/
920×*-commutative
890×associate-/r*
738×distribute-lft-in
696×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
118732
2270032
Stop Event
node limit
Counts
2 → 143
Calls
Call 1
Inputs
(+.f64 beta (+.f64 beta 2))
(/.f64 (+.f64 beta (+.f64 beta 2)) alpha)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 2 (+.f64 beta beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 beta)) (-.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 3 beta))) (-.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (/.f64 (-.f64 (-.f64 beta beta) 2) beta)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (-.f64 beta beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 beta beta) (+.f64 beta -2)) (-.f64 (/.f64 4 (+.f64 beta -2)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 beta (exp.f64 (log.f64 (+.f64 3 beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 beta (/.f64 (*.f64 beta beta) (+.f64 beta -2))) (/.f64 4 (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 beta 2) (exp.f64 (log1p.f64 beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (+.f64 beta beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 2 (+.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 (+.f64 beta beta))) (sqrt.f64 (+.f64 2 (+.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) 2) (cbrt.f64 (+.f64 2 (+.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (-.f64 (-.f64 beta beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (-.f64 beta beta) 2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)))))) (#(struct:change #<rule 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(pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta))) 3))) (-.f64 (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta))) (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta))))) (*.f64 (*.f64 beta beta) (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (+.f64 beta beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 (-.f64 (-.f64 beta beta) 2) (-.f64 (-.f64 beta beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 2 (+.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 2 (+.f64 beta beta))) (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 beta beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) 2) (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 beta beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (-.f64 beta beta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (/.f64 1 (-.f64 (-.f64 beta beta) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta)))) (/.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta)))) (+.f64 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simplify148.0ms (1.8%)

Algorithm
egg-herbie
Rules
670×+-commutative
628×associate-+l+
586×associate-*r*
538×associate-+r+
530×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03695883
111194789
252934771
Stop Event
node limit
Counts
179 → 216
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (*.f64 2 beta))
(*.f64 2 beta)
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (*.f64 2 beta))
(*.f64 2 beta)
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (*.f64 2 beta))
(/.f64 2 alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (exp.f64 (log1p.f64 (+.f64 2 (+.f64 beta beta)))) 1)
(-.f64 (exp.f64 (log1p.f64 beta)) (-.f64 1 (+.f64 beta 2)))
(-.f64 (exp.f64 (log.f64 (+.f64 3 beta))) (-.f64 1 beta))
(-.f64 (/.f64 beta (/.f64 (-.f64 (-.f64 beta beta) 2) beta)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (-.f64 beta beta) 2)))
(-.f64 (/.f64 (*.f64 beta beta) (+.f64 beta -2)) (-.f64 (/.f64 4 (+.f64 beta -2)) beta))
(-.f64 (+.f64 beta (exp.f64 (log.f64 (+.f64 3 beta)))) 1)
(-.f64 (+.f64 beta (/.f64 (*.f64 beta beta) (+.f64 beta -2))) (/.f64 4 (+.f64 beta -2)))
(-.f64 (+.f64 (+.f64 beta 2) (exp.f64 (log1p.f64 beta))) 1)
(*.f64 (+.f64 2 (+.f64 beta beta)) 1)
(*.f64 1 (+.f64 2 (+.f64 beta beta)))
(*.f64 (sqrt.f64 (+.f64 2 (+.f64 beta beta))) (sqrt.f64 (+.f64 2 (+.f64 beta beta))))
(*.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) 2) (cbrt.f64 (+.f64 2 (+.f64 beta beta))))
(*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (-.f64 (-.f64 beta beta) 2)))
(*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta))))))
(*.f64 (/.f64 1 (-.f64 (-.f64 beta beta) 2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)))
(*.f64 (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta))))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))
(*.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (+.f64 2 (+.f64 beta beta)))
(*.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))))
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta))) (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta)))))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta)))))
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta))) 3))) (-.f64 (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta))) (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta))))) (*.f64 (*.f64 beta beta) (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta))))))
(/.f64 (+.f64 2 (+.f64 beta beta)) 1)
(/.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 (-.f64 (-.f64 beta beta) 2) (-.f64 (-.f64 beta beta) 2)))
(/.f64 1 (/.f64 1 (+.f64 2 (+.f64 beta beta))))
(/.f64 (sqrt.f64 (+.f64 2 (+.f64 beta beta))) (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 beta beta)))))
(/.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) 2) (/.f64 1 (cbrt.f64 (+.f64 2 (+.f64 beta beta)))))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (-.f64 beta beta) 2))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (/.f64 1 (-.f64 (-.f64 beta beta) 2))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta)))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta)))))))
(/.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta)))) (/.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta)))) (+.f64 2 (+.f64 beta beta))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta)))) (sqrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (-.f64 (-.f64 beta beta) 2) (sqrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (cbrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (/.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta)))) (cbrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (-.f64 (-.f64 beta beta) 2) (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)))))
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (-.f64 (-.f64 beta beta) 2)))
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (*.f64 1 (neg.f64 (-.f64 (-.f64 beta beta) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 1 (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta beta)) (+.f64 2 (-.f64 beta beta)))
(/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta beta)) (*.f64 1 (+.f64 2 (-.f64 beta beta))))
(/.f64 (-.f64 (*.f64 (+.f64 beta beta) (+.f64 beta beta)) 4) (+.f64 beta (+.f64 beta -2)))
(/.f64 (-.f64 (*.f64 (+.f64 beta beta) (+.f64 beta beta)) 4) (*.f64 1 (+.f64 beta (+.f64 beta -2))))
(/.f64 (-.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (*.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta)))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))))
(/.f64 (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (-.f64 beta beta) 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta beta))))
(/.f64 (+.f64 8 (pow.f64 (+.f64 beta beta) 3)) (+.f64 (*.f64 (+.f64 beta beta) (+.f64 beta beta)) (-.f64 4 (*.f64 2 (+.f64 beta beta)))))
(/.f64 (+.f64 8 (pow.f64 (+.f64 beta beta) 3)) (*.f64 1 (+.f64 (*.f64 (+.f64 beta beta) (+.f64 beta beta)) (-.f64 4 (*.f64 2 (+.f64 beta beta))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 beta 3) 3) (pow.f64 (pow.f64 (+.f64 beta 2) 3) 3)) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta)))) (+.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (+.f64 beta 2) 3)) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))))))
(/.f64 (-.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3)) (*.f64 (-.f64 (-.f64 beta beta) 2) (+.f64 (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta beta)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) 1) (neg.f64 (-.f64 (-.f64 beta beta) 2)))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) 1) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta beta)) 1) (+.f64 2 (-.f64 beta beta)))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 beta beta) (+.f64 beta beta)) 4) 1) (+.f64 beta (+.f64 beta -2)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (+.f64 beta beta) 3)) 1) (+.f64 (*.f64 (+.f64 beta beta) (+.f64 beta beta)) (-.f64 4 (*.f64 2 (+.f64 beta beta)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (sqrt.f64 (+.f64 2 (+.f64 beta beta)))) (sqrt.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (+.f64 2 (+.f64 beta beta)))) (sqrt.f64 (-.f64 (-.f64 beta beta) 2)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) 2)) (cbrt.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) 2)) (cbrt.f64 (-.f64 (-.f64 beta beta) 2)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (-.f64 (-.f64 beta beta) 2))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta beta)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (pow.f64 (+.f64 beta 2) 2) 3)) (/.f64 1 (-.f64 (-.f64 beta beta) 2))) (+.f64 (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta beta))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (*.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta)))))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 beta 3) 3) (pow.f64 (pow.f64 (+.f64 beta 2) 3) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta)))))) (+.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (+.f64 beta 2) 3)) (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) 1) (-.f64 (-.f64 beta beta) 2))
(/.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (sqrt.f64 (-.f64 (-.f64 beta beta) 2))) (sqrt.f64 (-.f64 (-.f64 beta beta) 2)))
(/.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (cbrt.f64 (-.f64 (-.f64 beta beta) 2)) (cbrt.f64 (-.f64 (-.f64 beta beta) 2)))) (cbrt.f64 (-.f64 (-.f64 beta beta) 2)))
(/.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 beta))) (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) 1) (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta)))))
(/.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (sqrt.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta)))))) (sqrt.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta))))))
(/.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)) (*.f64 (cbrt.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta))))) (cbrt.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta))))))) (cbrt.f64 (fma.f64 beta beta (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta))))))
(pow.f64 (+.f64 2 (+.f64 beta beta)) 1)
(pow.f64 (sqrt.f64 (+.f64 2 (+.f64 beta beta))) 2)
(pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) 3)
(pow.f64 (pow.f64 (+.f64 2 (+.f64 beta beta)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 2 (+.f64 beta beta)) 2))
(log.f64 (exp.f64 (+.f64 2 (+.f64 beta beta))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 2 (+.f64 beta beta)))))
(cbrt.f64 (pow.f64 (+.f64 2 (+.f64 beta beta)) 3))
(expm1.f64 (log1p.f64 (+.f64 2 (+.f64 beta beta))))
(exp.f64 (log.f64 (+.f64 2 (+.f64 beta beta))))
(log1p.f64 (expm1.f64 (+.f64 2 (+.f64 beta beta))))
(fma.f64 1 beta (+.f64 beta 2))
(fma.f64 1 (+.f64 beta 2) beta)
(fma.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2)) beta)
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (+.f64 beta 2)) beta)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 beta 2))
(+.f64 (*.f64 (/.f64 1 alpha) beta) (*.f64 (/.f64 1 alpha) (+.f64 beta 2)))
(+.f64 (*.f64 (/.f64 1 alpha) (+.f64 beta 2)) (*.f64 (/.f64 1 alpha) beta))
(+.f64 (*.f64 (/.f64 1 alpha) 2) (*.f64 (/.f64 1 alpha) (+.f64 beta beta)))
(+.f64 (*.f64 (/.f64 1 alpha) (+.f64 beta beta)) (*.f64 (/.f64 1 alpha) 2))
(+.f64 (*.f64 beta (/.f64 1 alpha)) (*.f64 (+.f64 beta 2) (/.f64 1 alpha)))
(+.f64 (*.f64 (+.f64 beta 2) (/.f64 1 alpha)) (*.f64 beta (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 (+.f64 beta beta) (/.f64 1 alpha)))
(+.f64 (*.f64 (+.f64 beta beta) (/.f64 1 alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))) 1)
(*.f64 (+.f64 2 (+.f64 beta beta)) (/.f64 1 alpha))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 1)
(*.f64 1 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))
(*.f64 (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(*.f64 (sqrt.f64 (+.f64 2 (+.f64 beta beta))) (*.f64 (sqrt.f64 (+.f64 2 (+.f64 beta beta))) (/.f64 1 alpha)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) 2) (*.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) (/.f64 1 alpha)))
(*.f64 (/.f64 1 alpha) (+.f64 2 (+.f64 beta beta)))
(*.f64 (-.f64 -2 (+.f64 beta beta)) (/.f64 -1 alpha))
(*.f64 (*.f64 (sqrt.f64 (+.f64 2 (+.f64 beta beta))) (/.f64 1 alpha)) (sqrt.f64 (+.f64 2 (+.f64 beta beta))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) (/.f64 1 alpha)) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) 2))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 beta beta)) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 2 (+.f64 beta beta)) (cbrt.f64 alpha)))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 -1 alpha) (-.f64 -2 (+.f64 beta beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 beta beta))) 1) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 beta beta))) alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 beta beta))) alpha) (sqrt.f64 (+.f64 2 (+.f64 beta beta))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 beta beta))) alpha) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 beta beta))) 1))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 beta beta))) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 beta beta))) (cbrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 beta beta))) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 beta beta))) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) alpha))
(*.f64 (/.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) alpha) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) (sqrt.f64 alpha)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) (sqrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) 2) alpha) (cbrt.f64 (+.f64 2 (+.f64 beta beta))))
(*.f64 (/.f64 1 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) 2))) (cbrt.f64 (+.f64 2 (+.f64 beta beta))))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 alpha)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (+.f64 2 (+.f64 beta beta)))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 alpha)) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))))
(*.f64 (/.f64 (*.f64 (/.f64 1 alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta))) (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta)))))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta)))))
(*.f64 (/.f64 (*.f64 (/.f64 1 alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta))) 3))) (-.f64 (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta))) (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta))))) (*.f64 (*.f64 beta beta) (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta))))))
(pow.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 3) 1/3)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 beta beta))) -1)
(neg.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (neg.f64 alpha)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
Outputs
2
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (+.f64 beta beta))
(fma.f64 2 beta 2)
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (+.f64 beta beta))
(fma.f64 2 beta 2)
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (+.f64 beta beta))
(fma.f64 2 beta 2)
(*.f64 2 beta)
(+.f64 beta beta)
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (+.f64 beta beta))
(fma.f64 2 beta 2)
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (+.f64 beta beta))
(fma.f64 2 beta 2)
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (+.f64 beta beta))
(fma.f64 2 beta 2)
(*.f64 2 beta)
(+.f64 beta beta)
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (+.f64 beta beta))
(fma.f64 2 beta 2)
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (+.f64 beta beta))
(fma.f64 2 beta 2)
(+.f64 2 (*.f64 2 beta))
(+.f64 2 (+.f64 beta beta))
(fma.f64 2 beta 2)
(/.f64 2 alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 2 (/.f64 beta alpha))
(/.f64 (+.f64 beta beta) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 2 (/.f64 beta alpha))
(/.f64 (+.f64 beta beta) 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)
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(*.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 2 (+.f64 beta beta)) (cbrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(*.f64 (/.f64 -1 alpha) (-.f64 -2 (+.f64 beta beta)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 beta beta))) 1) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 beta beta))) alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 beta beta))) alpha) (sqrt.f64 (+.f64 2 (+.f64 beta beta))))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 beta beta))) alpha) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 beta beta))) 1))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 beta beta))) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 beta beta))) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 2 (+.f64 beta beta)) (cbrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 beta beta))) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 beta beta))) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 2 (+.f64 beta beta)) (cbrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) alpha))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) alpha) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) 2) 1))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 beta beta)) (sqrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(*.f64 (/.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) (sqrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 beta beta)) (sqrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) 2) alpha) (cbrt.f64 (+.f64 2 (+.f64 beta beta))))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 1 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta beta))) 2))) (cbrt.f64 (+.f64 2 (+.f64 beta beta))))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 alpha)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2))) (+.f64 2 (+.f64 beta beta)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 alpha)) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta beta)))))
(*.f64 (fma.f64 beta beta (*.f64 (+.f64 2 (+.f64 beta beta)) (+.f64 2 beta))) (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 alpha))))
(/.f64 (/.f64 (*.f64 (fma.f64 2 beta 2) -2) alpha) (/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 beta beta (*.f64 (fma.f64 2 beta 2) (+.f64 2 beta)))))
(*.f64 (/.f64 (*.f64 (/.f64 1 alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta))) (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta)))))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta)))))
(*.f64 (-.f64 (*.f64 beta beta) (*.f64 2 (+.f64 2 beta))) (/.f64 (*.f64 (/.f64 1 alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))) (-.f64 (*.f64 beta (pow.f64 beta 3)) (*.f64 (pow.f64 (+.f64 2 beta) 2) 4))))
(*.f64 (fma.f64 beta beta (*.f64 2 (-.f64 -2 beta))) (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (*.f64 (+.f64 (pow.f64 beta 4) (*.f64 (pow.f64 (+.f64 2 beta) 2) -4)) alpha)))
(*.f64 (fma.f64 beta beta (+.f64 -4 (*.f64 beta -2))) (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (*.f64 (+.f64 (pow.f64 beta 4) (*.f64 (pow.f64 (+.f64 2 beta) 2) -4)) alpha)))
(*.f64 (/.f64 (*.f64 (/.f64 1 alpha) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta))) 3))) (-.f64 (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta))) (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta))))) (*.f64 (*.f64 beta beta) (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta beta))))))
(*.f64 (-.f64 (+.f64 (*.f64 beta (pow.f64 beta 3)) (*.f64 (pow.f64 (+.f64 2 beta) 2) 4)) (*.f64 beta (*.f64 beta (*.f64 2 (+.f64 2 beta))))) (/.f64 (/.f64 1 alpha) (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 beta) 3) 8) (pow.f64 beta 6)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)))))
(*.f64 (+.f64 (pow.f64 beta 4) (*.f64 (+.f64 (+.f64 beta beta) 4) (-.f64 (+.f64 (+.f64 beta beta) 4) (*.f64 beta beta)))) (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (*.f64 (fma.f64 (pow.f64 (+.f64 2 beta) 3) 8 (pow.f64 beta 6)) alpha)))
(*.f64 (+.f64 (pow.f64 beta 4) (*.f64 (+.f64 2 beta) (-.f64 (*.f64 4 (+.f64 2 beta)) (*.f64 2 (*.f64 beta beta))))) (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (*.f64 (fma.f64 (pow.f64 (+.f64 2 beta) 3) 8 (pow.f64 beta 6)) alpha)))
(pow.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 1)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 2)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)) 3)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (pow.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 3) 1/3)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 beta beta))) -1)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(neg.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) (neg.f64 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 2))
(fabs.f64 (/.f64 (fma.f64 2 beta 2) alpha))
(log.f64 (exp.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha))))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha) 3))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(exp.f64 (log.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (+.f64 beta beta)) alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)

localize134.0ms (1.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 beta (+.f64 beta -2))
0.1b
(/.f64 (+.f64 2 beta) (/.f64 alpha (+.f64 2 (+.f64 beta beta))))
5.0b
(*.f64 alpha (+.f64 (+.f64 beta (+.f64 beta -2)) (/.f64 (+.f64 2 beta) (/.f64 alpha (+.f64 2 (+.f64 beta beta))))))
9.0b
(/.f64 (*.f64 alpha (+.f64 (+.f64 beta (+.f64 beta -2)) (/.f64 (+.f64 2 beta) (/.f64 alpha (+.f64 2 (+.f64 beta beta)))))) (*.f64 alpha alpha))
Compiler

Compiled 158 to 88 computations (44.3% saved)

series13.0ms (0.2%)

Counts
4 → 84
Calls

21 calls:

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

rewrite166.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
538×associate-+r+
532×+-commutative
458×add-sqr-sqrt
448×pow1
448×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017166
1428122
27427122
Stop Event
node limit
Counts
4 → 180
Calls
Call 1
Inputs
(/.f64 (*.f64 alpha (+.f64 (+.f64 beta (+.f64 beta -2)) (/.f64 (+.f64 2 beta) (/.f64 alpha (+.f64 2 (+.f64 beta beta)))))) (*.f64 alpha alpha))
(*.f64 alpha (+.f64 (+.f64 beta (+.f64 beta -2)) (/.f64 (+.f64 2 beta) (/.f64 alpha (+.f64 2 (+.f64 beta beta))))))
(/.f64 (+.f64 2 beta) (/.f64 alpha (+.f64 2 (+.f64 beta beta))))
(+.f64 beta (+.f64 beta -2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (+.f64 beta 2) (/.f64 (fma.f64 2 beta 2) alpha) (fma.f64 2 beta -2)) alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 alpha (*.f64 (fma.f64 (+.f64 beta 2) (/.f64 (fma.f64 2 beta 2) alpha) (fma.f64 2 beta -2)) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 alpha (/.f64 1 (/.f64 (*.f64 alpha alpha) (fma.f64 (+.f64 beta 2) (/.f64 (fma.f64 2 beta 2) alpha) (fma.f64 2 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 beta 2) (/.f64 (fma.f64 2 beta 2) alpha) (fma.f64 2 beta -2)) (*.f64 alpha (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 beta 2) (/.f64 (fma.f64 2 beta 2) alpha) (fma.f64 2 beta -2)) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 alpha (fma.f64 (+.f64 beta 2) (/.f64 (fma.f64 2 beta 2) alpha) (fma.f64 2 beta -2))) (pow.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (+.f64 beta 2) (/.f64 (fma.f64 2 beta 2) alpha) (fma.f64 2 beta -2)) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (+.f64 beta 2) (/.f64 (fma.f64 2 beta 2) alpha) (fma.f64 2 beta -2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 alpha (fma.f64 (+.f64 beta 2) (/.f64 (fma.f64 2 beta 2) alpha) (fma.f64 2 beta -2)))) (*.f64 (sqrt.f64 (*.f64 alpha (fma.f64 (+.f64 beta 2) (/.f64 (fma.f64 2 beta 2) alpha) (fma.f64 2 beta -2)))) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 (+.f64 beta 2) (/.f64 (fma.f64 2 beta 2) alpha) (fma.f64 2 beta -2)) alpha)) (sqrt.f64 (/.f64 (fma.f64 (+.f64 beta 2) (/.f64 (fma.f64 2 beta 2) alpha) (fma.f64 2 beta -2)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 alpha (fma.f64 (+.f64 beta 2) (/.f64 (fma.f64 2 beta 2) alpha) (fma.f64 2 beta -2)))) 2) (*.f64 (cbrt.f64 (*.f64 alpha (fma.f64 (+.f64 beta 2) (/.f64 (fma.f64 2 beta 2) alpha) (fma.f64 2 beta -2)))) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 beta 2) (/.f64 (fma.f64 2 beta 2) alpha) (fma.f64 2 beta -2)) alpha)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 beta 2) (/.f64 (fma.f64 2 beta 2) alpha) (fma.f64 2 beta -2)) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (+.f64 beta 2) (/.f64 (fma.f64 2 beta 2) alpha) (fma.f64 2 beta -2)) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 (+.f64 beta 2) (/.f64 (fma.f64 2 beta 2) alpha) (fma.f64 2 beta -2)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (+.f64 beta 2) (/.f64 (fma.f64 2 beta 2) alpha) (fma.f64 2 beta -2)) 1) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (+.f64 beta 2) (/.f64 (fma.f64 2 beta 2) alpha) (fma.f64 2 beta -2)) 1) (/.f64 alpha (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 alpha -2) (*.f64 alpha (fma.f64 (+.f64 beta 2) (/.f64 (fma.f64 2 beta 2) alpha) (fma.f64 2 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (+.f64 beta 2) (/.f64 (fma.f64 2 beta 2) alpha) (fma.f64 2 beta -2)) (neg.f64 alpha)) (/.f64 1 (*.f64 alpha (neg.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (/.f64 (fma.f64 (+.f64 beta 2) (/.f64 (fma.f64 2 beta 2) alpha) (fma.f64 2 beta -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha 1) (/.f64 (fma.f64 (+.f64 beta 2) (/.f64 (fma.f64 2 beta 2) alpha) (fma.f64 2 beta -2)) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (*.f64 alpha (fma.f64 (+.f64 beta 2) (/.f64 (fma.f64 2 beta 2) alpha) (fma.f64 2 beta -2))) (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (*.f64 alpha alpha)) (fma.f64 (+.f64 beta 2) (/.f64 (fma.f64 2 beta 2) alpha) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (sqrt.f64 (fma.f64 2 beta 2))) (sqrt.f64 (fma.f64 2 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2)) (cbrt.f64 (fma.f64 2 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 2) 1) (/.f64 (fma.f64 2 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (/.f64 (+.f64 beta 2) (/.f64 1 (fma.f64 2 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2)))) (/.f64 (+.f64 beta 2) (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) 2)) (/.f64 (+.f64 beta 2) (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 2) (neg.f64 alpha)) (neg.f64 (fma.f64 2 beta 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(/.f64 (cbrt.f64 (+.f64 beta 2)) (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) 2)) (cbrt.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (*.f64 (+.f64 beta 2) (fma.f64 2 beta 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 beta 2) (/.f64 (neg.f64 alpha) (fma.f64 2 beta 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2 beta -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 beta beta) 2) (/.f64 (pow.f64 (+.f64 beta -2) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 beta -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 beta -2)) (sqrt.f64 (fma.f64 2 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2 beta -2)) (pow.f64 (cbrt.f64 (fma.f64 2 beta -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta -2)) 2) (cbrt.f64 (fma.f64 2 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 2 beta -2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta -2) (-.f64 (+.f64 beta -2) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (*.f64 (fma.f64 2 beta -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 beta -2) (-.f64 (+.f64 beta -2) beta))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 2 beta -2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta -2) (-.f64 (+.f64 beta -2) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (+.f64 (pow.f64 (+.f64 beta -2) 2) (-.f64 (*.f64 beta beta) (*.f64 beta (+.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 beta -2) 2) (*.f64 beta beta)) (-.f64 (+.f64 beta -2) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 0 0) 4) (-.f64 (/.f64 0 0) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 0 0) -8) (+.f64 (/.f64 0 0) (-.f64 4 (*.f64 (/.f64 0 0) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (fma.f64 2 beta -2) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 beta -2) (-.f64 (+.f64 beta -2) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2 beta -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2 beta -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2 beta -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2 beta -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2 beta -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2 beta -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 2 beta -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 beta -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 0 0) (/.f64 0 0) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 beta (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 beta -2) beta)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 0 0) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 beta -2)) (sqrt.f64 (+.f64 beta -2)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta -2)) 2) (cbrt.f64 (+.f64 beta -2)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 beta -2))))))

simplify108.0ms (1.3%)

Algorithm
egg-herbie
Rules
226×*-commutative
112×+-commutative
110×associate-*r/
102×sqr-pow
84×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050811280
1144711280
Stop Event
unsound
Counts
264 → 298
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(/.f64 (-.f64 (*.f64 2 beta) 2) alpha)
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(/.f64 (-.f64 (*.f64 2 beta) 2) alpha)
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(/.f64 (-.f64 (*.f64 4 (/.f64 1 alpha)) 2) alpha)
(-.f64 (+.f64 (/.f64 4 (pow.f64 alpha 2)) (*.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) beta)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (/.f64 4 (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) beta))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (/.f64 4 (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) beta))) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) beta))
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) beta) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) beta) (*.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 (*.f64 beta (+.f64 2 (*.f64 6 (/.f64 1 alpha)))) alpha) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 (*.f64 beta (+.f64 2 (*.f64 6 (/.f64 1 alpha)))) 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 (*.f64 beta (+.f64 2 (*.f64 6 (/.f64 1 alpha)))) 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 2 (*.f64 2 beta)) (+.f64 beta 2))
(+.f64 (*.f64 (-.f64 (*.f64 2 beta) 2) alpha) (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)))
(+.f64 (*.f64 (-.f64 (*.f64 2 beta) 2) alpha) (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)))
(+.f64 (*.f64 (-.f64 (*.f64 2 beta) 2) alpha) (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)))
(*.f64 (-.f64 (*.f64 2 beta) 2) alpha)
(+.f64 (*.f64 (-.f64 (*.f64 2 beta) 2) alpha) (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)))
(+.f64 (*.f64 (-.f64 (*.f64 2 beta) 2) alpha) (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)))
(+.f64 (*.f64 (-.f64 (*.f64 2 beta) 2) alpha) (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)))
(*.f64 (-.f64 (*.f64 2 beta) 2) alpha)
(+.f64 (*.f64 (-.f64 (*.f64 2 beta) 2) alpha) (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)))
(+.f64 (*.f64 (-.f64 (*.f64 2 beta) 2) alpha) (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)))
(+.f64 (*.f64 (-.f64 (*.f64 2 beta) 2) alpha) (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)))
(*.f64 alpha (-.f64 (*.f64 4 (/.f64 1 alpha)) 2))
(+.f64 (*.f64 alpha (-.f64 (*.f64 4 (/.f64 1 alpha)) 2)) (*.f64 beta (*.f64 (+.f64 2 (*.f64 6 (/.f64 1 alpha))) alpha)))
(+.f64 (*.f64 alpha (-.f64 (*.f64 4 (/.f64 1 alpha)) 2)) (+.f64 (*.f64 beta (*.f64 (+.f64 2 (*.f64 6 (/.f64 1 alpha))) alpha)) (*.f64 2 (pow.f64 beta 2))))
(+.f64 (*.f64 alpha (-.f64 (*.f64 4 (/.f64 1 alpha)) 2)) (+.f64 (*.f64 beta (*.f64 (+.f64 2 (*.f64 6 (/.f64 1 alpha))) alpha)) (*.f64 2 (pow.f64 beta 2))))
(*.f64 2 (pow.f64 beta 2))
(+.f64 (*.f64 beta (*.f64 (+.f64 2 (*.f64 6 (/.f64 1 alpha))) alpha)) (*.f64 2 (pow.f64 beta 2)))
(+.f64 (*.f64 alpha (-.f64 (*.f64 4 (/.f64 1 alpha)) 2)) (+.f64 (*.f64 beta (*.f64 (+.f64 2 (*.f64 6 (/.f64 1 alpha))) alpha)) (*.f64 2 (pow.f64 beta 2))))
(+.f64 (*.f64 alpha (-.f64 (*.f64 4 (/.f64 1 alpha)) 2)) (+.f64 (*.f64 beta (*.f64 (+.f64 2 (*.f64 6 (/.f64 1 alpha))) alpha)) (*.f64 2 (pow.f64 beta 2))))
(*.f64 2 (pow.f64 beta 2))
(+.f64 (*.f64 beta (*.f64 (+.f64 2 (*.f64 6 (/.f64 1 alpha))) alpha)) (*.f64 2 (pow.f64 beta 2)))
(+.f64 (*.f64 alpha (-.f64 (*.f64 4 (/.f64 1 alpha)) 2)) (+.f64 (*.f64 beta (*.f64 (+.f64 2 (*.f64 6 (/.f64 1 alpha))) alpha)) (*.f64 2 (pow.f64 beta 2))))
(+.f64 (*.f64 alpha (-.f64 (*.f64 4 (/.f64 1 alpha)) 2)) (+.f64 (*.f64 beta (*.f64 (+.f64 2 (*.f64 6 (/.f64 1 alpha))) alpha)) (*.f64 2 (pow.f64 beta 2))))
(/.f64 4 alpha)
(+.f64 (*.f64 6 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) alpha)) (+.f64 (*.f64 6 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) alpha)) (+.f64 (*.f64 6 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha))))
(*.f64 2 (/.f64 (pow.f64 beta 2) alpha))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) alpha)) (*.f64 6 (/.f64 beta alpha)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) alpha)) (+.f64 (*.f64 6 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) alpha)) (+.f64 (*.f64 6 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha))))
(*.f64 2 (/.f64 (pow.f64 beta 2) alpha))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) alpha)) (*.f64 6 (/.f64 beta alpha)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) alpha)) (+.f64 (*.f64 6 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha))))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) alpha)) (+.f64 (*.f64 6 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha))))
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(+.f64 (*.f64 2 (/.f64 (+.f64 beta 2) alpha)) (*.f64 (/.f64 0 0) (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (*.f64 (/.f64 0 0) (/.f64 (+.f64 beta 2) alpha)) (*.f64 2 (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 2) alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) alpha)))
(+.f64 (*.f64 beta (/.f64 (+.f64 beta 2) alpha)) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 2) alpha)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha)))) 1)
(*.f64 (+.f64 beta 2) (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha))
(*.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha)) 1)
(*.f64 1 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha)))
(*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 (fma.f64 2 beta 2) alpha)))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha))) (sqrt.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 (cbrt.f64 (+.f64 beta 2)) (/.f64 (fma.f64 2 beta 2) alpha)))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha))) 2) (cbrt.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha))))
(*.f64 (/.f64 (+.f64 beta 2) alpha) (fma.f64 2 beta 2))
(*.f64 (/.f64 (fma.f64 2 beta 2) alpha) (+.f64 beta 2))
(*.f64 (+.f64 -2 (neg.f64 beta)) (/.f64 1 (/.f64 (neg.f64 alpha) (fma.f64 2 beta 2))))
(*.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) 1) (fma.f64 2 beta 2))
(*.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (sqrt.f64 (fma.f64 2 beta 2))) (sqrt.f64 (fma.f64 2 beta 2)))
(*.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2)) (cbrt.f64 (fma.f64 2 beta 2)))
(*.f64 (/.f64 (+.f64 beta 2) 1) (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (/.f64 1 alpha) (/.f64 (+.f64 beta 2) (/.f64 1 (fma.f64 2 beta 2))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2)))) (/.f64 (+.f64 beta 2) (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) 2)) (/.f64 (+.f64 beta 2) (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2)))))
(*.f64 (/.f64 (+.f64 beta 2) (neg.f64 alpha)) (neg.f64 (fma.f64 2 beta 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) 1) (/.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 alpha (fma.f64 2 beta 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha) (/.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 1 (fma.f64 2 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 2)) (/.f64 alpha (fma.f64 2 beta 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) 2)) (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) alpha) (/.f64 (cbrt.f64 (+.f64 beta 2)) (/.f64 1 (fma.f64 2 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2)))) (/.f64 (cbrt.f64 (+.f64 beta 2)) (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) 2)) (cbrt.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha))))
(pow.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha)) 1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha))) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha))) 3)
(pow.f64 (/.f64 alpha (*.f64 (+.f64 beta 2) (fma.f64 2 beta 2))) -1)
(pow.f64 (pow.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha)) 3) 1/3)
(neg.f64 (/.f64 (+.f64 beta 2) (/.f64 (neg.f64 alpha) (fma.f64 2 beta 2))))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 2)) (/.f64 (fma.f64 2 beta 2) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha)) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha))))
(exp.f64 (log.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha))) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 beta -2))) 1)
(-.f64 (/.f64 (*.f64 beta beta) 2) (/.f64 (pow.f64 (+.f64 beta -2) 2) 2))
(*.f64 (fma.f64 2 beta -2) 1)
(*.f64 1 (fma.f64 2 beta -2))
(*.f64 (sqrt.f64 (fma.f64 2 beta -2)) (sqrt.f64 (fma.f64 2 beta -2)))
(*.f64 (cbrt.f64 (fma.f64 2 beta -2)) (pow.f64 (cbrt.f64 (fma.f64 2 beta -2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta -2)) 2) (cbrt.f64 (fma.f64 2 beta -2)))
(*.f64 (*.f64 (fma.f64 2 beta -2) 2) 1/2)
(*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta -2) (-.f64 (+.f64 beta -2) beta)))))
(/.f64 1 (/.f64 2 (*.f64 (fma.f64 2 beta -2) 2)))
(/.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 beta -2) (-.f64 (+.f64 beta -2) beta))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3))))
(/.f64 (*.f64 (fma.f64 2 beta -2) 2) 2)
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta -2) (-.f64 (+.f64 beta -2) beta))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (+.f64 (pow.f64 (+.f64 beta -2) 2) (-.f64 (*.f64 beta beta) (*.f64 beta (+.f64 beta -2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 beta -2) 2) (*.f64 beta beta)) (-.f64 (+.f64 beta -2) beta))
(/.f64 (-.f64 (/.f64 0 0) 4) (-.f64 (/.f64 0 0) -2))
(/.f64 (+.f64 (/.f64 0 0) -8) (+.f64 (/.f64 0 0) (-.f64 4 (*.f64 (/.f64 0 0) -2))))
(/.f64 (neg.f64 (*.f64 (fma.f64 2 beta -2) 2)) -2)
(/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 beta -2) (-.f64 (+.f64 beta -2) beta)))))
(pow.f64 (fma.f64 2 beta -2) 1)
(pow.f64 (sqrt.f64 (fma.f64 2 beta -2)) 2)
(pow.f64 (cbrt.f64 (fma.f64 2 beta -2)) 3)
(pow.f64 (pow.f64 (fma.f64 2 beta -2) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 2 beta -2) 2))
(log.f64 (exp.f64 (fma.f64 2 beta -2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 beta -2))))
(cbrt.f64 (pow.f64 (fma.f64 2 beta -2) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 beta -2)))
(exp.f64 (log.f64 (fma.f64 2 beta -2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 beta -2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 2 beta -2)))
(fma.f64 2 beta -2)
(fma.f64 (/.f64 0 0) (/.f64 0 0) -2)
(fma.f64 1 beta (+.f64 beta -2))
(fma.f64 1 (+.f64 beta -2) beta)
(fma.f64 1 (/.f64 0 0) -2)
(fma.f64 (sqrt.f64 (+.f64 beta -2)) (sqrt.f64 (+.f64 beta -2)) beta)
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta -2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta -2)) 2) (cbrt.f64 (+.f64 beta -2)) beta)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 beta -2))
Outputs
(/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))
(/.f64 (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2)) (*.f64 alpha alpha))
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2)) (*.f64 alpha alpha))) (/.f64 2 alpha))
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2)) (*.f64 alpha alpha))) (/.f64 2 alpha))
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2)) (*.f64 alpha alpha))) (/.f64 2 alpha))
(/.f64 (-.f64 (*.f64 2 beta) 2) alpha)
(/.f64 (fma.f64 2 beta -2) alpha)
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2)) (*.f64 alpha alpha))) (/.f64 2 alpha))
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2)) (*.f64 alpha alpha))) (/.f64 2 alpha))
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2)) (*.f64 alpha alpha))) (/.f64 2 alpha))
(/.f64 (-.f64 (*.f64 2 beta) 2) alpha)
(/.f64 (fma.f64 2 beta -2) alpha)
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2)) (*.f64 alpha alpha))) (/.f64 2 alpha))
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2)) (*.f64 alpha alpha))) (/.f64 2 alpha))
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (/.f64 (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (fma.f64 2 (/.f64 beta alpha) (/.f64 (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2)) (*.f64 alpha alpha))) (/.f64 2 alpha))
(/.f64 (-.f64 (*.f64 4 (/.f64 1 alpha)) 2) alpha)
(/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)
(-.f64 (+.f64 (/.f64 4 (pow.f64 alpha 2)) (*.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) beta)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (fma.f64 (+.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha))) beta (/.f64 4 (*.f64 alpha alpha))) (/.f64 2 alpha))
(-.f64 (+.f64 (/.f64 4 (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) beta))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 (+.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha))) beta (/.f64 4 (*.f64 alpha alpha)))) (/.f64 2 alpha))
(-.f64 (+.f64 (/.f64 4 (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) beta))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 (+.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha))) beta (/.f64 4 (*.f64 alpha alpha)))) (/.f64 2 alpha))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) beta))
(fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) beta) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 (+.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha))) beta (/.f64 4 (*.f64 alpha alpha)))) (/.f64 2 alpha))
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))) beta) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (fma.f64 (+.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha))) beta (/.f64 4 (*.f64 alpha alpha)))) (/.f64 2 alpha))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(+.f64 (/.f64 (*.f64 beta (+.f64 2 (*.f64 6 (/.f64 1 alpha)))) alpha) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 beta (/.f64 alpha (+.f64 2 (/.f64 6 alpha)))))
(-.f64 (+.f64 (/.f64 (*.f64 beta (+.f64 2 (*.f64 6 (/.f64 1 alpha)))) 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 beta (/.f64 alpha (+.f64 2 (/.f64 6 alpha)))) (-.f64 (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha))) (/.f64 2 alpha)))
(-.f64 (+.f64 (/.f64 (*.f64 beta (+.f64 2 (*.f64 6 (/.f64 1 alpha)))) 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 beta (/.f64 alpha (+.f64 2 (/.f64 6 alpha)))) (-.f64 (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha))) (/.f64 2 alpha)))
(*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2))
(*.f64 (+.f64 2 beta) (fma.f64 2 beta 2))
(+.f64 (*.f64 (-.f64 (*.f64 2 beta) 2) alpha) (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)))
(fma.f64 (fma.f64 2 beta -2) alpha (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2)))
(+.f64 (*.f64 (-.f64 (*.f64 2 beta) 2) alpha) (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)))
(fma.f64 (fma.f64 2 beta -2) alpha (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2)))
(+.f64 (*.f64 (-.f64 (*.f64 2 beta) 2) alpha) (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)))
(fma.f64 (fma.f64 2 beta -2) alpha (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2)))
(*.f64 (-.f64 (*.f64 2 beta) 2) alpha)
(*.f64 alpha (fma.f64 2 beta -2))
(+.f64 (*.f64 (-.f64 (*.f64 2 beta) 2) alpha) (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)))
(fma.f64 (fma.f64 2 beta -2) alpha (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2)))
(+.f64 (*.f64 (-.f64 (*.f64 2 beta) 2) alpha) (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)))
(fma.f64 (fma.f64 2 beta -2) alpha (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2)))
(+.f64 (*.f64 (-.f64 (*.f64 2 beta) 2) alpha) (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)))
(fma.f64 (fma.f64 2 beta -2) alpha (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2)))
(*.f64 (-.f64 (*.f64 2 beta) 2) alpha)
(*.f64 alpha (fma.f64 2 beta -2))
(+.f64 (*.f64 (-.f64 (*.f64 2 beta) 2) alpha) (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)))
(fma.f64 (fma.f64 2 beta -2) alpha (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2)))
(+.f64 (*.f64 (-.f64 (*.f64 2 beta) 2) alpha) (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)))
(fma.f64 (fma.f64 2 beta -2) alpha (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2)))
(+.f64 (*.f64 (-.f64 (*.f64 2 beta) 2) alpha) (*.f64 (+.f64 2 (*.f64 2 beta)) (+.f64 beta 2)))
(fma.f64 (fma.f64 2 beta -2) alpha (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2)))
(*.f64 alpha (-.f64 (*.f64 4 (/.f64 1 alpha)) 2))
(*.f64 alpha (+.f64 (/.f64 4 alpha) -2))
(+.f64 (*.f64 alpha (-.f64 (*.f64 4 (/.f64 1 alpha)) 2)) (*.f64 beta (*.f64 (+.f64 2 (*.f64 6 (/.f64 1 alpha))) alpha)))
(fma.f64 alpha (+.f64 (/.f64 4 alpha) -2) (*.f64 beta (*.f64 alpha (+.f64 2 (/.f64 6 alpha)))))
(+.f64 (*.f64 alpha (-.f64 (*.f64 4 (/.f64 1 alpha)) 2)) (+.f64 (*.f64 beta (*.f64 (+.f64 2 (*.f64 6 (/.f64 1 alpha))) alpha)) (*.f64 2 (pow.f64 beta 2))))
(fma.f64 alpha (+.f64 (/.f64 4 alpha) -2) (fma.f64 beta (*.f64 alpha (+.f64 2 (/.f64 6 alpha))) (*.f64 2 (*.f64 beta beta))))
(+.f64 (*.f64 alpha (-.f64 (*.f64 4 (/.f64 1 alpha)) 2)) (+.f64 (*.f64 beta (*.f64 (+.f64 2 (*.f64 6 (/.f64 1 alpha))) alpha)) (*.f64 2 (pow.f64 beta 2))))
(fma.f64 alpha (+.f64 (/.f64 4 alpha) -2) (fma.f64 beta (*.f64 alpha (+.f64 2 (/.f64 6 alpha))) (*.f64 2 (*.f64 beta beta))))
(*.f64 2 (pow.f64 beta 2))
(*.f64 2 (*.f64 beta beta))
(+.f64 (*.f64 beta (*.f64 (+.f64 2 (*.f64 6 (/.f64 1 alpha))) alpha)) (*.f64 2 (pow.f64 beta 2)))
(fma.f64 beta (*.f64 alpha (+.f64 2 (/.f64 6 alpha))) (*.f64 2 (*.f64 beta beta)))
(+.f64 (*.f64 alpha (-.f64 (*.f64 4 (/.f64 1 alpha)) 2)) (+.f64 (*.f64 beta (*.f64 (+.f64 2 (*.f64 6 (/.f64 1 alpha))) alpha)) (*.f64 2 (pow.f64 beta 2))))
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(+.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 0 0)) (*.f64 (/.f64 (+.f64 beta 2) alpha) 2))
(*.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(+.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 beta 2)) (*.f64 (/.f64 (+.f64 beta 2) alpha) beta))
(*.f64 (/.f64 (+.f64 2 beta) alpha) (+.f64 beta (+.f64 2 beta)))
(+.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) beta) (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 2 beta) alpha) (+.f64 beta (+.f64 2 beta)))
(+.f64 (*.f64 2 (/.f64 (+.f64 beta 2) alpha)) (*.f64 (/.f64 0 0) (/.f64 (+.f64 beta 2) alpha)))
(*.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(+.f64 (*.f64 (/.f64 0 0) (/.f64 (+.f64 beta 2) alpha)) (*.f64 2 (/.f64 (+.f64 beta 2) alpha)))
(*.f64 (/.f64 (+.f64 2 beta) alpha) 3)
(+.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 2) alpha)) (*.f64 beta (/.f64 (+.f64 beta 2) alpha)))
(*.f64 (/.f64 (+.f64 2 beta) alpha) (+.f64 beta (+.f64 2 beta)))
(+.f64 (*.f64 beta (/.f64 (+.f64 beta 2) alpha)) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 2) alpha)))
(*.f64 (/.f64 (+.f64 2 beta) alpha) (+.f64 beta (+.f64 2 beta)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha)))) 1)
(*.f64 (+.f64 2 beta) (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (+.f64 beta 2) (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (+.f64 2 beta) (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha))
(*.f64 (+.f64 2 beta) (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha)) 1)
(*.f64 (+.f64 2 beta) (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 1 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha)))
(*.f64 (+.f64 2 beta) (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 (fma.f64 2 beta 2) alpha)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 2 beta)) (sqrt.f64 (+.f64 2 beta))) (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha))) (sqrt.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha))))
(*.f64 (+.f64 2 beta) (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 (cbrt.f64 (+.f64 beta 2)) (/.f64 (fma.f64 2 beta 2) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) (cbrt.f64 (+.f64 2 beta))))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha))) 2))
(*.f64 (+.f64 2 beta) (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha))) 2) (cbrt.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha))))
(*.f64 (+.f64 2 beta) (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (/.f64 (+.f64 beta 2) alpha) (fma.f64 2 beta 2))
(*.f64 (+.f64 2 beta) (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (/.f64 (fma.f64 2 beta 2) alpha) (+.f64 beta 2))
(*.f64 (+.f64 2 beta) (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (+.f64 -2 (neg.f64 beta)) (/.f64 1 (/.f64 (neg.f64 alpha) (fma.f64 2 beta 2))))
(*.f64 (-.f64 -2 beta) (*.f64 (/.f64 0 (neg.f64 alpha)) (fma.f64 2 beta 2)))
(*.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) 1) (fma.f64 2 beta 2))
(*.f64 (+.f64 2 beta) (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (sqrt.f64 (fma.f64 2 beta 2))) (sqrt.f64 (fma.f64 2 beta 2)))
(*.f64 (/.f64 (+.f64 2 beta) alpha) (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 (fma.f64 2 beta 2))))
(*.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2)) (cbrt.f64 (fma.f64 2 beta 2)))
(*.f64 (/.f64 (+.f64 2 beta) alpha) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (cbrt.f64 (fma.f64 2 beta 2))))
(*.f64 (/.f64 (+.f64 beta 2) 1) (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (+.f64 2 beta) (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (/.f64 1 alpha) (/.f64 (+.f64 beta 2) (/.f64 1 (fma.f64 2 beta 2))))
(*.f64 (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2)) (/.f64 0 alpha))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2)))) (/.f64 (+.f64 beta 2) (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2)))))
(*.f64 (/.f64 0 (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2)))) (/.f64 (+.f64 2 beta) (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) 2)) (/.f64 (+.f64 beta 2) (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2)))))
(*.f64 (/.f64 0 (pow.f64 (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) 2)) (/.f64 (+.f64 2 beta) (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2)))))
(*.f64 (/.f64 (+.f64 beta 2) (neg.f64 alpha)) (neg.f64 (fma.f64 2 beta 2)))
(*.f64 (/.f64 (+.f64 2 beta) (neg.f64 alpha)) (neg.f64 (fma.f64 2 beta 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) 1) (/.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 alpha (fma.f64 2 beta 2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 2 beta)) (sqrt.f64 (+.f64 2 beta))) (/.f64 alpha (fma.f64 2 beta 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) alpha) (/.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 1 (fma.f64 2 beta 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 beta)) alpha) (*.f64 (sqrt.f64 (+.f64 2 beta)) (fma.f64 2 beta 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 2)) (/.f64 alpha (fma.f64 2 beta 2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (/.f64 (cbrt.f64 (+.f64 2 beta)) (/.f64 alpha (fma.f64 2 beta 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) 2)) (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 beta)) (pow.f64 (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) 2)) (/.f64 (sqrt.f64 (+.f64 2 beta)) (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) alpha) (/.f64 (cbrt.f64 (+.f64 beta 2)) (/.f64 1 (fma.f64 2 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) alpha) (/.f64 (cbrt.f64 (+.f64 2 beta)) (/.f64 0 (fma.f64 2 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2)))) (/.f64 (cbrt.f64 (+.f64 beta 2)) (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2)))) (/.f64 (cbrt.f64 (+.f64 2 beta)) (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) 2)) (cbrt.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 2 beta) (/.f64 (fma.f64 2 beta 2) alpha))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (pow.f64 (cbrt.f64 (/.f64 alpha (fma.f64 2 beta 2))) 2)))
(pow.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha)) 1)
(*.f64 (+.f64 2 beta) (/.f64 (fma.f64 2 beta 2) alpha))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha))) 2)
(*.f64 (+.f64 2 beta) (/.f64 (fma.f64 2 beta 2) alpha))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha))) 3)
(*.f64 (+.f64 2 beta) (/.f64 (fma.f64 2 beta 2) alpha))
(pow.f64 (/.f64 alpha (*.f64 (+.f64 beta 2) (fma.f64 2 beta 2))) -1)
(/.f64 0 (/.f64 alpha (*.f64 (+.f64 2 beta) (fma.f64 2 beta 2))))
(pow.f64 (pow.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha)) 3) 1/3)
(*.f64 (+.f64 2 beta) (/.f64 (fma.f64 2 beta 2) alpha))
(neg.f64 (/.f64 (+.f64 beta 2) (/.f64 (neg.f64 alpha) (fma.f64 2 beta 2))))
(*.f64 (/.f64 (+.f64 2 beta) (neg.f64 alpha)) (neg.f64 (fma.f64 2 beta 2)))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha)) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 2 beta) (/.f64 (fma.f64 2 beta 2) alpha)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 2)) (/.f64 (fma.f64 2 beta 2) alpha)))
(*.f64 (/.f64 (fma.f64 2 beta 2) alpha) (log.f64 (exp.f64 (+.f64 2 beta))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha)))))
(*.f64 (+.f64 2 beta) (/.f64 (fma.f64 2 beta 2) alpha))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha)) 3))
(*.f64 (+.f64 2 beta) (/.f64 (fma.f64 2 beta 2) alpha))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha))))
(*.f64 (+.f64 2 beta) (/.f64 (fma.f64 2 beta 2) alpha))
(exp.f64 (log.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha))))
(*.f64 (+.f64 2 beta) (/.f64 (fma.f64 2 beta 2) alpha))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha))) 1))
(*.f64 (+.f64 2 beta) (/.f64 (fma.f64 2 beta 2) alpha))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 2 beta 2) (/.f64 (+.f64 beta 2) alpha))))
(*.f64 (+.f64 2 beta) (/.f64 (fma.f64 2 beta 2) alpha))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 beta -2))) 1)
(fma.f64 2 beta -2)
(-.f64 (/.f64 (*.f64 beta beta) 2) (/.f64 (pow.f64 (+.f64 beta -2) 2) 2))
(-.f64 (/.f64 beta (/.f64 2 beta)) (/.f64 (pow.f64 (+.f64 beta -2) 2) 2))
(*.f64 (fma.f64 2 beta -2) 1)
(fma.f64 2 beta -2)
(*.f64 1 (fma.f64 2 beta -2))
(fma.f64 2 beta -2)
(*.f64 (sqrt.f64 (fma.f64 2 beta -2)) (sqrt.f64 (fma.f64 2 beta -2)))
(fma.f64 2 beta -2)
(*.f64 (cbrt.f64 (fma.f64 2 beta -2)) (pow.f64 (cbrt.f64 (fma.f64 2 beta -2)) 2))
(fma.f64 2 beta -2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta -2)) 2) (cbrt.f64 (fma.f64 2 beta -2)))
(fma.f64 2 beta -2)
(*.f64 (*.f64 (fma.f64 2 beta -2) 2) 1/2)
(fma.f64 2 beta -2)
(*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 beta -2) (-.f64 (+.f64 beta -2) beta)))))
(*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (/.f64 0 (fma.f64 beta beta (*.f64 (+.f64 beta -2) (-.f64 (+.f64 beta -2) beta)))))
(/.f64 1 (/.f64 2 (*.f64 (fma.f64 2 beta -2) 2)))
(fma.f64 2 beta -2)
(/.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 beta -2) (-.f64 (+.f64 beta -2) beta))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3))))
(*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (/.f64 0 (fma.f64 beta beta (*.f64 (+.f64 beta -2) (-.f64 (+.f64 beta -2) beta)))))
(/.f64 (*.f64 (fma.f64 2 beta -2) 2) 2)
(/.f64 (fma.f64 2 beta -2) 0)
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (fma.f64 beta beta (*.f64 (+.f64 beta -2) (-.f64 (+.f64 beta -2) beta))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (+.f64 (pow.f64 (+.f64 beta -2) 2) (-.f64 (*.f64 beta beta) (*.f64 beta (+.f64 beta -2)))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (+.f64 (pow.f64 (+.f64 beta -2) 2) (*.f64 beta (-.f64 beta (+.f64 beta -2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 beta -2) 2) (*.f64 beta beta)) (-.f64 (+.f64 beta -2) beta))
(/.f64 (-.f64 (/.f64 0 0) 4) (-.f64 (/.f64 0 0) -2))
-1
(/.f64 (+.f64 (/.f64 0 0) -8) (+.f64 (/.f64 0 0) (-.f64 4 (*.f64 (/.f64 0 0) -2))))
-7/4
(/.f64 (neg.f64 (*.f64 (fma.f64 2 beta -2) 2)) -2)
(/.f64 (*.f64 (fma.f64 2 beta -2) -2) -2)
(/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 beta -2) (-.f64 (+.f64 beta -2) beta)))))
(pow.f64 (fma.f64 2 beta -2) 1)
(fma.f64 2 beta -2)
(pow.f64 (sqrt.f64 (fma.f64 2 beta -2)) 2)
(fma.f64 2 beta -2)
(pow.f64 (cbrt.f64 (fma.f64 2 beta -2)) 3)
(fma.f64 2 beta -2)
(pow.f64 (pow.f64 (fma.f64 2 beta -2) 3) 1/3)
(fma.f64 2 beta -2)
(sqrt.f64 (pow.f64 (fma.f64 2 beta -2) 2))
(log.f64 (exp.f64 (fma.f64 2 beta -2)))
(fma.f64 2 beta -2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 beta -2))))
(fma.f64 2 beta -2)
(cbrt.f64 (pow.f64 (fma.f64 2 beta -2) 3))
(fma.f64 2 beta -2)
(expm1.f64 (log1p.f64 (fma.f64 2 beta -2)))
(fma.f64 2 beta -2)
(exp.f64 (log.f64 (fma.f64 2 beta -2)))
(fma.f64 2 beta -2)
(exp.f64 (*.f64 (log.f64 (fma.f64 2 beta -2)) 1))
(fma.f64 2 beta -2)
(log1p.f64 (expm1.f64 (fma.f64 2 beta -2)))
(fma.f64 2 beta -2)
(fma.f64 2 beta -2)
(fma.f64 (/.f64 0 0) (/.f64 0 0) -2)
-1
(fma.f64 1 beta (+.f64 beta -2))
(fma.f64 0 beta (+.f64 beta -2))
(fma.f64 1 (+.f64 beta -2) beta)
(fma.f64 0 (+.f64 beta -2) beta)
(fma.f64 1 (/.f64 0 0) -2)
-1
(fma.f64 (sqrt.f64 (+.f64 beta -2)) (sqrt.f64 (+.f64 beta -2)) beta)
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta -2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta -2)) 2) (cbrt.f64 (+.f64 beta -2)) beta)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 beta -2))

eval631.0ms (7.5%)

Compiler

Compiled 25463 to 18329 computations (28% saved)

prune312.0ms (3.7%)

Pruning

17 alts after pruning (5 fresh and 12 done)

PrunedKeptTotal
New9252927
Fresh033
Picked101
Done01212
Total92617943
Error
0b
Counts
943 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
33.4b
(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
45.3b
(/.f64 (/.f64 (+.f64 beta (+.f64 beta 2)) alpha) 2)
45.3b
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
56.1b
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2)
50.8b
(/.f64 (/.f64 2 alpha) 2)
33.9b
(/.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
43.0b
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
33.4b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
35.2b
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
16.3b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
18.1b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
36.9b
(/.f64 (+.f64 1 (*.f64 1/2 beta)) 2)
56.1b
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
52.0b
(/.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) 2)
46.6b
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (*.f64 beta (+.f64 beta beta)) (*.f64 alpha alpha)))) 2)
38.8b
(/.f64 2 2)
34.3b
(/.f64 1 2)
Compiler

Compiled 196 to 157 computations (19.9% saved)

regimes73.0ms (0.9%)

Counts
25 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 1 (*.f64 1/2 beta)) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 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 beta (+.f64 beta 2)) alpha) 2)
(/.f64 (/.f64 (neg.f64 (-.f64 (-.f64 -2 beta) beta)) alpha) 2)
(/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha)) 2)
(/.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) 2)
(/.f64 (/.f64 1 (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (*.f64 beta (+.f64 beta beta)) (*.f64 alpha alpha)))) 2)
(/.f64 (/.f64 (-.f64 1 (*.f64 (/.f64 alpha (-.f64 -2 alpha)) (/.f64 alpha (-.f64 -2 alpha)))) (+.f64 1 (/.f64 alpha (+.f64 alpha 2)))) 2)
(/.f64 (*.f64 -1 (/.f64 (*.f64 alpha (+.f64 (+.f64 beta (+.f64 beta -2)) (/.f64 (+.f64 2 beta) (/.f64 alpha (+.f64 2 (+.f64 beta beta)))))) (*.f64 alpha alpha))) 2)
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1) 2)
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2)
Outputs
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Calls

5 calls:

24.0ms
alpha
15.0ms
beta
15.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
6.0ms
(/.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
2.3b2alpha
16.3b1beta
0.2b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.2b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.2b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 352 to 246 computations (30.1% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999932433862
-0.7039617459780099
Compiler

Compiled 20 to 15 computations (25% saved)

regimes45.0ms (0.5%)

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

2 calls:

21.0ms
beta
18.0ms
alpha
Results
ErrorSegmentsBranch
3.7b2alpha
16.8b2beta
Compiler

Compiled 138 to 109 computations (21% saved)

bsearch19.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
424610537.24793094
7043612651327338.0
Results
17.0ms144×body256valid
Compiler

Compiled 236 to 195 computations (17.4% saved)

regimes51.0ms (0.6%)

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

2 calls:

33.0ms
alpha
15.0ms
beta
Results
ErrorSegmentsBranch
8.4b4alpha
16.8b2beta
Compiler

Compiled 77 to 63 computations (18.2% saved)

bsearch99.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
51.0ms
6.115383253639328e+218
5.226844677498405e+235
28.0ms
4.0305058017231105e+199
1.5796278585084293e+201
19.0ms
424610537.24793094
7043612651327338.0
Results
68.0ms211×body1024valid
20.0ms176×body256valid
5.0ms29×body512valid
Compiler

Compiled 506 to 423 computations (16.4% saved)

regimes63.0ms (0.8%)

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

2 calls:

46.0ms
alpha
10.0ms
beta
Results
ErrorSegmentsBranch
21.4b5alpha
18.5b2beta
Compiler

Compiled 59 to 49 computations (16.9% saved)

bsearch25.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
25.0ms
1.40723611959386e-14
4.712397568397235
Results
12.0ms118×body256valid
6.0ms21×body512valid
4.0ms16×body1024valid
2.0msbody2048valid
Compiler

Compiled 220 to 195 computations (11.4% saved)

regimes41.0ms (0.5%)

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

2 calls:

26.0ms
alpha
13.0ms
beta
Results
ErrorSegmentsBranch
21.4b5alpha
18.7b2beta
Compiler

Compiled 45 to 38 computations (15.6% saved)

bsearch27.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
27.0ms
1.40723611959386e-14
4.712397568397235
Results
12.0ms112×body256valid
6.0ms28×body1024valid
6.0ms17×body512valid
1.0msbody2048valid
Compiler

Compiled 180 to 165 computations (8.3% saved)

regimes30.0ms (0.4%)

Accuracy

Total -43.8b remaining (-232.1%)

Threshold costs -43.8b (-232.1%)

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

2 calls:

19.0ms
alpha
10.0ms
beta
Results
ErrorSegmentsBranch
21.8b5alpha
18.9b2beta
Compiler

Compiled 31 to 26 computations (16.1% saved)

bsearch27.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
27.0ms
1.40723611959386e-14
4.712397568397235
Results
16.0ms116×body256valid
6.0ms26×body1024valid
2.0ms13×body512valid
1.0msbody2048valid
Compiler

Compiled 140 to 135 computations (3.6% saved)

simplify12.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
058333
180333
290333
394333
496333
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -3602879701896397/4503599627370496) (/.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 34000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 21000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (if (<=.f64 alpha 1450000000000000075087937599095854512705788017162756780228363759635180098991021052136244315699143025658799437442981284749850773067556265464904854729391399856862317314184021571680340960067504431502983168) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 alpha 620000000000000031652171528951047752900182548238017079347928823944218233786973143842227611882282439969077796210673464210386160766114069203805496460944527339460267359222228309427212305921540129458548250248093812412907520) (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) (/.f64 (/.f64 2 alpha) 2))))
(if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 1/2 beta)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 1/2 beta)) 2) (/.f64 2 2))
(if (<=.f64 beta 2476979795053773/1125899906842624) (/.f64 1 2) (/.f64 2 2))
(/.f64 1 2)
Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -3602879701896397/4503599627370496) (/.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)) -3602879701896397/4503599627370496) (/.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 34000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 34000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 21000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (if (<=.f64 alpha 1450000000000000075087937599095854512705788017162756780228363759635180098991021052136244315699143025658799437442981284749850773067556265464904854729391399856862317314184021571680340960067504431502983168) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 alpha 620000000000000031652171528951047752900182548238017079347928823944218233786973143842227611882282439969077796210673464210386160766114069203805496460944527339460267359222228309427212305921540129458548250248093812412907520) (/.f64 (*.f64 2 (/.f64 beta alpha)) 2) (/.f64 (/.f64 2 alpha) 2))))
(if (<=.f64 alpha 21000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (if (or (<=.f64 alpha 1450000000000000075087937599095854512705788017162756780228363759635180098991021052136244315699143025658799437442981284749850773067556265464904854729391399856862317314184021571680340960067504431502983168) (not (<=.f64 alpha 620000000000000031652171528951047752900182548238017079347928823944218233786973143842227611882282439969077796210673464210386160766114069203805496460944527339460267359222228309427212305921540129458548250248093812412907520))) (/.f64 (/.f64 2 alpha) 2) (/.f64 (*.f64 2 (/.f64 beta alpha)) 2)))
(if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 1/2 beta)) 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 1/2 beta)) 2) (/.f64 2 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) 1)
(if (<=.f64 beta 2476979795053773/1125899906842624) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 2476979795053773/1125899906842624) 1/2 1)
(/.f64 1 2)
1/2
Compiler

Compiled 141 to 110 computations (22% saved)

soundness191.0ms (2.3%)

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

Useful iterations: 5 (0.0ms)

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

Compiled 28 to 19 computations (32.1% saved)

end130.0ms (1.6%)

Compiler

Compiled 129 to 98 computations (24% saved)

Profiling

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