Details

Time bar (total: 29.6s)

analyze34.0ms (0.1%)

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)

sample2.2s (7.6%)

Results
1.7s6511×body256valid
385.0ms1010×body1024valid
120.0ms619×body512valid
53.0ms116×body2048valid
Bogosity

preprocess68.0ms (0.2%)

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)

simplify70.0ms (0.2%)

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
17.9b
Counts
6 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
17.9b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize15.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
1.3b
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
Compiler

Compiled 50 to 23 computations (54% saved)

series8.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
beta
@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
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 beta alpha) (+.f64 (+.f64 beta alpha) 2))

rewrite112.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01156
125956
2384456
Stop Event
node limit
Counts
2 → 134
Calls
Call 1
Inputs
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 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simplify206.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

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

eval249.0ms (0.8%)

Compiler

Compiled 12222 to 7914 computations (35.2% saved)

prune130.0ms (0.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New34212354
Fresh000
Picked011
Done000
Total34213355
Error
0.1b
Counts
355 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
43.9b
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
17.9b
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
46.5b
(/.f64 (-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta)))) 2)
17.2b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
17.9b
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
33.8b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
17.9b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
18.8b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
17.8b
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
45.4b
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
61.6b
(/.f64 (+.f64 -1 1) 2)
17.9b
(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
40.7b
(/.f64 2 2)
Compiler

Compiled 391 to 301 computations (23% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
0.0b
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
0.0b
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
1.3b
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
Compiler

Compiled 73 to 47 computations (35.6% saved)

series6.0ms (0%)

Counts
4 → 96
Calls

24 calls:

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

rewrite163.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1596×associate-/l*
1148×associate-/r/
382×+-commutative
366×associate-+l+
310×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012112
129094
2452394
Stop Event
node limit
Counts
4 → 305
Calls
Call 1
Inputs
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 2) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))))) (#(struct:change #<rule egg-rr> 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2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2))) (neg.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))))

simplify240.0ms (0.8%)

Algorithm
egg-herbie
Rules
1090×associate-*r*
1082×+-commutative
958×*-commutative
834×associate-*l*
788×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
096728603
1293827231
Stop Event
node limit
Counts
401 → 637
Calls
Call 1
Inputs
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) 1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) 1)
-1
(-.f64 (/.f64 alpha beta) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1)
-1
(-.f64 (/.f64 alpha beta) 1)
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1)
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1)
(/.f64 alpha (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(/.f64 alpha (+.f64 2 alpha))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))))
(/.f64 alpha beta)
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))))
(/.f64 alpha beta)
(+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 3) alpha) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))))
(/.f64 beta (+.f64 2 alpha))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 4) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 beta (+.f64 2 alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(/.f64 beta (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (+.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 4))))))
(/.f64 beta alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(/.f64 beta alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
2
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) 2)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))
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(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2)))) (/.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2)))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1) (-.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 3)) (-.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) (*.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))) 1))))
(/.f64 (-.f64 (*.f64 beta (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)))
(/.f64 (-.f64 (*.f64 beta (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))))
(/.f64 (-.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)))
(/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1))) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2))) (neg.f64 (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (*.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
Outputs
-1
(-.f64 (/.f64 alpha (+.f64 beta 2)) 1)
(+.f64 (/.f64 alpha (+.f64 beta 2)) -1)
(+.f64 -1 (/.f64 alpha (+.f64 beta 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2))) 1)
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) -1)
(+.f64 -1 (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 alpha (+.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) -1)
(+.f64 -1 (+.f64 (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 alpha (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(neg.f64 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(neg.f64 (/.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))
(-.f64 (/.f64 alpha (+.f64 2 alpha)) 1)
(+.f64 (/.f64 alpha (+.f64 alpha 2)) -1)
(+.f64 -1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))) 1)
(+.f64 (+.f64 (/.f64 alpha (+.f64 alpha 2)) (neg.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)))) -1)
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (neg.f64 alpha) beta) (pow.f64 (+.f64 alpha 2) 2)) -1))
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))))) 1)
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (+.f64 (neg.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha))) 1))
(+.f64 -1 (+.f64 (/.f64 (*.f64 (neg.f64 alpha) beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (/.f64 alpha (+.f64 alpha 2)) (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 beta beta))))))
(-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)))))) 1)
(+.f64 (/.f64 alpha (+.f64 alpha 2)) (-.f64 (+.f64 (/.f64 (*.f64 beta beta) (/.f64 (pow.f64 (+.f64 alpha 2) 3) alpha)) (*.f64 -1 (+.f64 (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2))))) 1))
(+.f64 -1 (+.f64 (/.f64 alpha (/.f64 (pow.f64 (+.f64 alpha 2) 3) (*.f64 beta beta))) (+.f64 (*.f64 -1 (+.f64 (*.f64 (pow.f64 beta 3) (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4))) (*.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2)))))
-1
(-.f64 (/.f64 alpha beta) 1)
(+.f64 (/.f64 alpha beta) -1)
(+.f64 -1 (/.f64 alpha beta))
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1)
(+.f64 (/.f64 alpha beta) (-.f64 (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) 1))
(+.f64 (/.f64 alpha beta) (-.f64 (/.f64 (*.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta)) 1))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1)
(+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) (+.f64 (/.f64 alpha beta) (-.f64 (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) 1)))
(+.f64 (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta))) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) -1))
-1
(-.f64 (/.f64 alpha beta) 1)
(+.f64 (/.f64 alpha beta) -1)
(+.f64 -1 (/.f64 alpha beta))
(-.f64 (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) 1)
(+.f64 (/.f64 alpha beta) (-.f64 (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) 1))
(+.f64 (/.f64 alpha beta) (-.f64 (/.f64 (*.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta)) 1))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))) 1)
(+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) (+.f64 (/.f64 alpha beta) (-.f64 (neg.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) 1)))
(+.f64 (+.f64 (/.f64 alpha beta) (/.f64 (*.f64 (neg.f64 alpha) (+.f64 alpha 2)) (*.f64 beta beta))) (+.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha)) -1))
(/.f64 alpha (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2)))
(fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2)))
(fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 alpha (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))
(+.f64 (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 alpha (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 alpha (+.f64 beta 2))) (fma.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 (fma.f64 -1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha)) (/.f64 alpha (+.f64 beta 2))) (fma.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(+.f64 1 (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) 1))
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(/.f64 alpha beta)
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(/.f64 alpha beta)
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(/.f64 beta (+.f64 alpha 2))
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1
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1
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(/.f64 beta (+.f64 beta 2))
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(/.f64 beta alpha)
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(/.f64 beta alpha)
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(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
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2
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2
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(fma.f64 -1 (/.f64 (-.f64 (+.f64 alpha 2) (neg.f64 alpha)) beta) 2)
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(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))))
(pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 1)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 2)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 3)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3) 1/3)
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) 3))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))) 1))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(fma.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2))))

localize3.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize63.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite67.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

simplify66.0ms (0.2%)

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

Useful iterations: 2 (0.0ms)

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

localize11.0ms (0%)

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)

series4.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite71.0ms (0.2%)

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)))))))

simplify52.0ms (0.2%)

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)

localize23.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
0.1b
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
4.0b
(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1)
Compiler

Compiled 63 to 39 computations (38.1% saved)

series6.0ms (0%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
3.0ms
beta
@inf
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
0.0ms
alpha
@0
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
0.0ms
beta
@0
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
0.0ms
alpha
@inf
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
0.0ms
beta
@0
(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1)

rewrite168.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01275
128275
2402475
Stop Event
node limit
Counts
3 → 267
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1)
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 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(+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2)) 1) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 3) 3)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 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simplify212.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

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

eval886.0ms (3%)

Compiler

Compiled 48269 to 32521 computations (32.6% saved)

prune498.0ms (1.7%)

Pruning

27 alts after pruning (22 fresh and 5 done)

PrunedKeptTotal
New1422181440
Fresh347
Picked101
Done055
Total1426271453
Error
0.1b
Counts
1453 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
17.2b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 2)
18.3b
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))) 2)
17.2b
(/.f64 (/.f64 (-.f64 (*.f64 beta (-.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (*.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (-.f64 -2 (+.f64 alpha beta)))) (*.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (-.f64 -2 (+.f64 alpha beta)))) 2)
43.9b
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
57.7b
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2)
48.1b
(/.f64 (/.f64 2 alpha) 2)
17.9b
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
17.2b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (-.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))) 2)
17.2b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) 2)
17.2b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
17.2b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 3) (pow.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 3))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))))) 2)
18.8b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
17.9b
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
45.0b
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
33.8b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
17.9b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
18.8b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
45.2b
(/.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 2 (/.f64 -2 beta))) 2)
17.9b
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2)
36.6b
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 2)
18.8b
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) beta) 1) 2)
43.1b
(/.f64 (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2)
43.9b
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2)
35.7b
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
45.4b
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
57.7b
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
40.7b
(/.f64 2 2)
Compiler

Compiled 1169 to 871 computations (25.5% saved)

localize225.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 3)
0.1b
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
0.1b
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4)
1.3b
(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))
Compiler

Compiled 496 to 350 computations (29.4% saved)

series21.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
3.0ms
alpha
@inf
(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))
3.0ms
beta
@inf
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 3)
2.0ms
beta
@0
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4)
1.0ms
beta
@0
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 3)
1.0ms
beta
@0
(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))

rewrite149.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1232×associate-/r*
826×associate-/l*
598×associate-/r/
358×add-sqr-sqrt
344×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016106
1378106
24869106
Stop Event
node limit
Counts
4 → 324
Calls
Call 1
Inputs
(+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4)
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 0 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) (-.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (exp.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha 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simplify321.0ms (1.1%)

Algorithm
egg-herbie
Rules
1570×associate-*l*
1358×associate-+r+
1258×+-commutative
1206×associate-*r/
722×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0132431324
1409331018
Stop Event
node limit
Counts
420 → 773
Calls
Call 1
Inputs
-1
(-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) 1)
(-.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) 1)
(-.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 6 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
(/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))))))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))))))))))))
(*.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha))
(+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (+.f64 (*.f64 4 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 3))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha)))))
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(-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3)) 1)
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1
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1
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1
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1
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1
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(*.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3/2)) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3/2))
(*.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(*.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2))
(*.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 8))) (cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4)))
(*.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(*.f64 (pow.f64 alpha 6) (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 6))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 6) (pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) 6) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 6))
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 alpha 3)) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (-.f64 alpha (+.f64 beta 2)))
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 alpha 3)) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 alpha 3)) (pow.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) 3)) (pow.f64 (-.f64 alpha (+.f64 beta 2)) 3))
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 alpha 3)) (pow.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) 3)) (pow.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) 3))
(*.f64 (/.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (-.f64 alpha (+.f64 beta 2)))
(*.f64 (/.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(*.f64 (/.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (pow.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) 3)) (pow.f64 (-.f64 alpha (+.f64 beta 2)) 3))
(*.f64 (/.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (pow.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) 3)) (pow.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) 3))
(/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3) (pow.f64 alpha 3)))
(/.f64 (pow.f64 alpha 3) (/.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)) (pow.f64 alpha 3)))
(/.f64 (pow.f64 alpha 3) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))
(/.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 alpha 3)) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3))
(/.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3))
(/.f64 (/.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 alpha 3)) (+.f64 alpha (+.f64 beta 2))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 alpha 3)) 1) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 alpha 3)) (sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3))) (sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 alpha 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 alpha 3)) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) 1)) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 alpha 3)) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 alpha 3)) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 alpha 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3/2)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3/2))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 alpha 3)) (pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 3)) (pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 3))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 alpha 3)) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) 3)) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 alpha (+.f64 beta 2))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))
(/.f64 (/.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 1) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3))
(/.f64 (/.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3))) (sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(/.f64 (/.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) 1)) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3/2)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3/2))
(/.f64 (/.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 3)) (pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 3))
(/.f64 (/.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) 3)) (+.f64 alpha (+.f64 beta 2)))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12))
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))
(exp.f64 (*.f64 6 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 6))
(exp.f64 (*.f64 (*.f64 6 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))
Outputs
-1
(-.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) 1)
(+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) -1)
(+.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))
(-.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) 1)
(+.f64 (fma.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) -1)
(+.f64 -1 (fma.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(-.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 6 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) 1)
(+.f64 (fma.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 6 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) -1)
(+.f64 -1 (fma.f64 -3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 6 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
(/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) alpha)
(/.f64 (*.f64 (+.f64 beta 2) -3) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (*.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) 6)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))))))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) 6) (fma.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (*.f64 -1 (+.f64 (/.f64 (*.f64 3 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))))))
(fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (*.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) 6)) (fma.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 (*.f64 3 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3))))))))
(+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))))))))))))
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (*.f64 3 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (fma.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (fma.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (fma.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 (*.f64 3 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 2)))))))))))))
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (*.f64 3 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3)) (fma.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (+.f64 beta 2) alpha) (fma.f64 -2 (/.f64 (+.f64 beta 2) alpha) (fma.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (fma.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 (*.f64 3 (pow.f64 (+.f64 beta 2) 4)) (pow.f64 alpha 4))))))))))))
(*.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha))
(neg.f64 (/.f64 (+.f64 (+.f64 beta 6) (*.f64 beta 2)) alpha))
(neg.f64 (/.f64 (+.f64 6 (+.f64 (*.f64 beta 2) beta)) alpha))
(+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) alpha))))
(+.f64 (/.f64 (+.f64 4 (*.f64 beta 2)) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (neg.f64 (/.f64 (+.f64 (+.f64 beta 6) (*.f64 beta 2)) alpha))))
(+.f64 (/.f64 (+.f64 4 (*.f64 beta 2)) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (neg.f64 (/.f64 (+.f64 6 (+.f64 (*.f64 beta 2) beta)) alpha))))
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(fma.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (fma.f64 4 (pow.f64 (+.f64 beta 2) 3) (fma.f64 (*.f64 3 (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 4 (*.f64 beta 2)))))) (pow.f64 alpha 3)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 beta 6) (*.f64 beta 2)) alpha)) (/.f64 (+.f64 4 (*.f64 beta 2)) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))))))
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1
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1
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1
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1
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1
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(/.f64 (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3)) (*.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) (*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))))
(/.f64 (/.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3/2)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3/2))
(pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) 2)) 6)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 6)
(/.f64 (/.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 3)) (pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 3))
(/.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) 2)) 3)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) 2)) 3) (pow.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) 2)) 3)))
(/.f64 (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) 3)))
(/.f64 (/.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) 3)) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) 2)) 3)) (*.f64 (+.f64 (+.f64 alpha beta) 2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) 2)) 2) 3)))
(/.f64 (/.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3)) (*.f64 (+.f64 2 (+.f64 alpha beta)) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) 3)))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 12))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) 2)) 12))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 12))
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))
(pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) 2)) 6)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 6)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))
(pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) 2)) 6)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 6)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6) 3))
(pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) 2)) 6)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 6)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))
(pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) 2)) 6)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 6)
(exp.f64 (*.f64 6 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) 2)) 6)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 6)
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 6))
(pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) 2)) 6)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 6)
(exp.f64 (*.f64 (*.f64 6 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 1))
(pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) 2)) 6)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 6)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6)))
(pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) 2)) 6)
(pow.f64 (/.f64 alpha (+.f64 2 (+.f64 alpha beta))) 6)

localize5.0ms (0%)

Compiler

Compiled 12 to 9 computations (25% saved)

localize12.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
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 1 (/.f64 alpha (+.f64 alpha 2)))

rewrite69.0ms (0.2%)

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
0819
118019
2243119
Stop Event
node limit
Counts
1 → 68
Calls
Call 1
Inputs
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
Outputs
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(-.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha 2)) 2)) 1) (+.f64 1 (/.f64 alpha (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 2 (/.f64 alpha (-.f64 -2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 alpha (-.f64 -2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 alpha (-.f64 -2 alpha)))))))))

simplify72.0ms (0.2%)

Algorithm
egg-herbie
Rules
1656×associate-/l*
1182×associate-/r*
1094×distribute-lft-in
1062×associate-*r/
740×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02195000
16474824
225044788
Stop Event
node limit
Counts
80 → 134
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 (/.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)))))
Outputs
1
(+.f64 1 (*.f64 -1/2 alpha))
(fma.f64 -1/2 alpha 1)
(+.f64 1 (+.f64 (*.f64 -1/2 alpha) (*.f64 1/4 (pow.f64 alpha 2))))
(+.f64 1 (fma.f64 -1/2 alpha (*.f64 1/4 (*.f64 alpha alpha))))
(+.f64 (fma.f64 -1/2 alpha 1) (*.f64 alpha (*.f64 alpha 1/4)))
(+.f64 (*.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 1/4 (*.f64 alpha alpha))) (fma.f64 -1/8 (pow.f64 alpha 3) 1))
(fma.f64 -1/8 (pow.f64 alpha 3) (+.f64 (fma.f64 -1/2 alpha 1) (*.f64 alpha (*.f64 alpha 1/4))))
(/.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))))
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(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)))
(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 alpha (-.f64 -2 alpha)))

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 46 to 29 computations (37% saved)

series3.0ms (0%)

Counts
2 → 27
Calls

9 calls:

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

rewrite79.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1382×associate-/r*
788×associate-/l*
534×distribute-rgt-in
506×distribute-lft-in
356×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01128
124128
2320726
Stop Event
node limit
Counts
2 → 126
Calls
Call 1
Inputs
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 1 alpha))
Outputs
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beta alpha))) 2) (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) (/.f64 2 alpha))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 alpha)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 alpha 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (neg.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (sqrt.f64 alpha)) (sqrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 (sqrt.f64 alpha)) (neg.f64 (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 (pow.f64 (cbrt.f64 alpha) 2)) (neg.f64 (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 (sqrt.f64 (neg.f64 alpha))) (sqrt.f64 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 (*.f64 (cbrt.f64 (neg.f64 alpha)) (cbrt.f64 (neg.f64 alpha)))) (cbrt.f64 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 (neg.f64 (sqrt.f64 alpha))) (sqrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 (neg.f64 (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (sqrt.f64 alpha)) 1) (sqrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (sqrt.f64 alpha)) (cbrt.f64 alpha)) (cbrt.f64 (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (sqrt.f64 alpha)) (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2))) (sqrt.f64 (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (sqrt.f64 alpha)) (sqrt.f64 (sqrt.f64 alpha))) (sqrt.f64 (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 alpha) 2)) 1) (cbrt.f64 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 alpha) 2)) (sqrt.f64 (cbrt.f64 alpha))) (sqrt.f64 (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (cbrt.f64 (cbrt.f64 alpha)) (cbrt.f64 (cbrt.f64 alpha)))) (cbrt.f64 (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (sqrt.f64 alpha))) (cbrt.f64 (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 alpha)))))))

simplify137.0ms (0.5%)

Algorithm
egg-herbie
Rules
626×distribute-lft-neg-in
620×associate-*r*
598×distribute-rgt-neg-in
526×associate-*l*
414×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03545391
110334755
251994737
Stop Event
node limit
Counts
153 → 183
Calls
Call 1
Inputs
(/.f64 2 alpha)
(*.f64 2 (/.f64 beta alpha))
(*.f64 2 (/.f64 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 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))
(/.f64 2 alpha)
(/.f64 2 alpha)
(/.f64 2 alpha)
(/.f64 2 alpha)
(/.f64 2 alpha)
(/.f64 2 alpha)
(/.f64 2 alpha)
(/.f64 2 alpha)
(/.f64 2 alpha)
(/.f64 2 alpha)
(/.f64 2 alpha)
(/.f64 2 alpha)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 alpha))) (-.f64 1 (*.f64 2 (/.f64 beta alpha))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha)))) (-.f64 1 (/.f64 2 alpha)))
(-.f64 (/.f64 (pow.f64 (/.f64 beta alpha) 2) (/.f64 (*.f64 (/.f64 2 alpha) (-.f64 beta 1)) 4)) (/.f64 (pow.f64 alpha -2) (/.f64 (*.f64 (/.f64 2 alpha) (-.f64 beta 1)) 4)))
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (exp.f64 (log1p.f64 (/.f64 2 alpha)))) 1)
(-.f64 (+.f64 (/.f64 2 alpha) (exp.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha))))) 1)
(*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(*.f64 1 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)))
(*.f64 (/.f64 1 alpha) (+.f64 (*.f64 2 beta) 2))
(*.f64 (/.f64 1 alpha) (+.f64 2 (*.f64 2 beta)))
(*.f64 (/.f64 2 alpha) (+.f64 beta 1))
(*.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 1)
(*.f64 (sqrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))) (sqrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))) 2) (cbrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))))
(*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2)
(*.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (/.f64 1 (*.f64 (/.f64 2 alpha) (-.f64 beta 1))))
(*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)) (/.f64 1 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1))))))
(*.f64 (+.f64 beta 1) (/.f64 2 alpha))
(*.f64 (/.f64 1 (*.f64 (/.f64 2 alpha) (-.f64 beta 1))) (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))))
(*.f64 (/.f64 1 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1))))) (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)))
(*.f64 (/.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)))) (*.f64 (/.f64 2 alpha) (+.f64 beta 1)))
(*.f64 (/.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (-.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (*.f64 (/.f64 2 alpha) (*.f64 (/.f64 2 alpha) (+.f64 beta 1)))))
(*.f64 (/.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (-.f64 (*.f64 2 beta) 2)) alpha)
(*.f64 (/.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (-.f64 (*.f64 (*.f64 2 beta) alpha) (*.f64 alpha 2))) (*.f64 alpha alpha))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)) (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4)) (*.f64 (*.f64 (/.f64 2 alpha) (*.f64 (/.f64 2 alpha) (-.f64 1 beta))) (*.f64 (/.f64 2 alpha) (*.f64 (/.f64 2 alpha) (-.f64 1 beta)))))) (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (*.f64 (/.f64 -2 alpha) (*.f64 (/.f64 2 alpha) (-.f64 1 beta)))))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) 3) (pow.f64 (*.f64 (/.f64 2 alpha) (*.f64 (/.f64 2 alpha) (-.f64 1 beta))) 3))) (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4)) (*.f64 (*.f64 (/.f64 2 alpha) (*.f64 (/.f64 2 alpha) (-.f64 1 beta))) (-.f64 (*.f64 (/.f64 2 alpha) (*.f64 (/.f64 2 alpha) (-.f64 1 beta))) (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4)))))
(/.f64 1 (/.f64 1 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))))
(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) (/.f64 (*.f64 (/.f64 2 alpha) (-.f64 beta 1)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1))))
(/.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (*.f64 (/.f64 2 alpha) (-.f64 beta 1)))
(/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1)))))
(/.f64 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1)))) (/.f64 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1)))) (*.f64 (/.f64 2 alpha) (+.f64 beta 1))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3))) (/.f64 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)))))
(/.f64 (sqrt.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)))) (/.f64 (*.f64 (/.f64 2 alpha) (-.f64 beta 1)) (sqrt.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)))) (/.f64 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)))) (cbrt.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))))) (/.f64 (*.f64 (/.f64 2 alpha) (-.f64 beta 1)) (cbrt.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8)) (*.f64 (pow.f64 (/.f64 2 alpha) 3) (pow.f64 (/.f64 2 alpha) 3))) (*.f64 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1)))) (-.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3))))
(/.f64 (*.f64 4 (-.f64 (pow.f64 alpha -2) (pow.f64 (/.f64 beta alpha) 2))) (*.f64 (/.f64 2 alpha) (-.f64 1 beta)))
(/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4)) (*.f64 (/.f64 -4 (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha)))) (*.f64 (*.f64 (/.f64 2 alpha) (-.f64 beta 1)) (*.f64 4 (+.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) 3) (pow.f64 (pow.f64 (/.f64 2 alpha) 3) 3)) (*.f64 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1)))) (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8)) (*.f64 (pow.f64 (/.f64 2 alpha) 3) (-.f64 (pow.f64 (/.f64 2 alpha) 3) (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) 3) (pow.f64 (/.f64 4 (*.f64 alpha alpha)) 3)) (*.f64 (*.f64 (/.f64 2 alpha) (-.f64 beta 1)) (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4)) (*.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 4 (+.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)))))))
(/.f64 (+.f64 (*.f64 (*.f64 2 beta) alpha) (*.f64 alpha 2)) (*.f64 alpha alpha))
(/.f64 (+.f64 (*.f64 2 alpha) (*.f64 alpha (*.f64 2 beta))) (*.f64 alpha alpha))
(/.f64 (neg.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)))) (/.f64 (neg.f64 (-.f64 (*.f64 2 beta) 2)) alpha))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3))) (neg.f64 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1))))))
(/.f64 (/.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) 2) (+.f64 (/.f64 beta alpha) (/.f64 -1 alpha)))
(/.f64 (/.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) 1) (*.f64 (/.f64 2 alpha) (-.f64 beta 1)))
(/.f64 (/.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (sqrt.f64 (*.f64 (/.f64 2 alpha) (-.f64 beta 1)))) (sqrt.f64 (*.f64 (/.f64 2 alpha) (-.f64 beta 1))))
(/.f64 (/.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (*.f64 (cbrt.f64 (*.f64 (/.f64 2 alpha) (-.f64 beta 1))) (cbrt.f64 (*.f64 (/.f64 2 alpha) (-.f64 beta 1))))) (cbrt.f64 (*.f64 (/.f64 2 alpha) (-.f64 beta 1))))
(/.f64 (/.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (+.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (*.f64 2 (/.f64 beta alpha))))) (-.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) (sqrt.f64 (/.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)) 1) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1)))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)) (sqrt.f64 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1)))))) (sqrt.f64 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1))))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)) (*.f64 (cbrt.f64 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1))))) (cbrt.f64 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1))))))) (cbrt.f64 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1))))))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 2 beta) alpha) (*.f64 alpha 2)) alpha) alpha)
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 2 beta) alpha) (*.f64 alpha 2)) 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 2 beta) alpha) (*.f64 alpha 2)) (sqrt.f64 alpha)) (*.f64 (sqrt.f64 alpha) alpha))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 2 beta) alpha) (*.f64 alpha 2)) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (cbrt.f64 alpha) alpha))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 2 beta) alpha) (*.f64 alpha 2)) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 alpha) 2))) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 2 beta) alpha) (*.f64 alpha 2)) (*.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 2 beta) alpha) (*.f64 alpha 2)) (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(/.f64 (/.f64 (+.f64 (*.f64 2 alpha) (*.f64 alpha (*.f64 2 beta))) alpha) alpha)
(/.f64 (/.f64 (+.f64 (*.f64 2 alpha) (*.f64 alpha (*.f64 2 beta))) 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 (*.f64 2 alpha) (*.f64 alpha (*.f64 2 beta))) (sqrt.f64 alpha)) (*.f64 (sqrt.f64 alpha) alpha))
(/.f64 (/.f64 (+.f64 (*.f64 2 alpha) (*.f64 alpha (*.f64 2 beta))) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (cbrt.f64 alpha) alpha))
(/.f64 (/.f64 (+.f64 (*.f64 2 alpha) (*.f64 alpha (*.f64 2 beta))) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 alpha) 2))) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (/.f64 (+.f64 (*.f64 2 alpha) (*.f64 alpha (*.f64 2 beta))) (*.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha))
(/.f64 (/.f64 (+.f64 (*.f64 2 alpha) (*.f64 alpha (*.f64 2 beta))) (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(pow.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 3) 1/3)
(neg.f64 (/.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (/.f64 (neg.f64 (-.f64 (*.f64 2 beta) 2)) alpha)))
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)) (neg.f64 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1)))))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))))
(exp.f64 (log.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(fma.f64 2 (/.f64 1 alpha) (*.f64 2 (/.f64 beta alpha)))
(fma.f64 (/.f64 beta alpha) 2 (/.f64 2 alpha))
(fma.f64 1 (*.f64 2 (/.f64 beta alpha)) (/.f64 2 alpha))
(fma.f64 1 (/.f64 2 alpha) (*.f64 2 (/.f64 beta alpha)))
(fma.f64 (/.f64 1 alpha) 2 (*.f64 2 (/.f64 beta alpha)))
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 2 (/.f64 beta alpha)))
(fma.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) (/.f64 2 alpha))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 2 alpha)) (*.f64 2 (/.f64 beta alpha)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 2) (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) (/.f64 2 alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 alpha))) 1)
(/.f64 2 alpha)
(/.f64 1 (/.f64 alpha 2))
(/.f64 (/.f64 2 alpha) 1)
(/.f64 -2 (neg.f64 alpha))
(/.f64 (/.f64 2 (sqrt.f64 alpha)) (sqrt.f64 alpha))
(/.f64 (/.f64 2 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(/.f64 (/.f64 2 (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (/.f64 -2 (sqrt.f64 alpha)) (neg.f64 (sqrt.f64 alpha)))
(/.f64 (/.f64 -2 (pow.f64 (cbrt.f64 alpha) 2)) (neg.f64 (cbrt.f64 alpha)))
(/.f64 (/.f64 -2 (sqrt.f64 (neg.f64 alpha))) (sqrt.f64 (neg.f64 alpha)))
(/.f64 (/.f64 -2 (*.f64 (cbrt.f64 (neg.f64 alpha)) (cbrt.f64 (neg.f64 alpha)))) (cbrt.f64 (neg.f64 alpha)))
(/.f64 (/.f64 -2 (neg.f64 (sqrt.f64 alpha))) (sqrt.f64 alpha))
(/.f64 (/.f64 -2 (neg.f64 (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 alpha)) 1) (sqrt.f64 alpha))
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 alpha)) (cbrt.f64 alpha)) (cbrt.f64 (sqrt.f64 alpha)))
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 alpha)) (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2))) (sqrt.f64 (cbrt.f64 alpha)))
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 alpha)) (sqrt.f64 (sqrt.f64 alpha))) (sqrt.f64 (sqrt.f64 alpha)))
(/.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 alpha) 2)) 1) (cbrt.f64 alpha))
(/.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 alpha) 2)) (sqrt.f64 (cbrt.f64 alpha))) (sqrt.f64 (cbrt.f64 alpha)))
(/.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 (cbrt.f64 alpha)))
(/.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (cbrt.f64 (cbrt.f64 alpha)) (cbrt.f64 (cbrt.f64 alpha)))) (cbrt.f64 (cbrt.f64 alpha)))
(/.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (sqrt.f64 alpha))) (cbrt.f64 (sqrt.f64 alpha)))
(pow.f64 (/.f64 2 alpha) 1)
(pow.f64 (sqrt.f64 (/.f64 2 alpha)) 2)
(pow.f64 (cbrt.f64 (/.f64 2 alpha)) 3)
(pow.f64 (pow.f64 (/.f64 2 alpha) 3) 1/3)
(sqrt.f64 (/.f64 4 (*.f64 alpha alpha)))
(log.f64 (exp.f64 (/.f64 2 alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 alpha))))
(cbrt.f64 (pow.f64 (/.f64 2 alpha) 3))
(expm1.f64 (log1p.f64 (/.f64 2 alpha)))
(exp.f64 (log.f64 (/.f64 2 alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 2 alpha)) 1))
(log1p.f64 (expm1.f64 (/.f64 2 alpha)))
Outputs
(/.f64 2 alpha)
(*.f64 2 (/.f64 beta alpha))
(/.f64 (*.f64 2 beta) alpha)
(/.f64 beta (/.f64 alpha 2))
(*.f64 2 (/.f64 beta alpha))
(/.f64 (*.f64 2 beta) alpha)
(/.f64 beta (/.f64 alpha 2))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -2 beta) 2) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 2 alpha)
(/.f64 2 alpha)
(/.f64 2 alpha)
(/.f64 2 alpha)
(/.f64 2 alpha)
(/.f64 2 alpha)
(/.f64 2 alpha)
(/.f64 2 alpha)
(/.f64 2 alpha)
(/.f64 2 alpha)
(/.f64 2 alpha)
(/.f64 2 alpha)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)))) 1)
(/.f64 (fma.f64 2 beta 2) alpha)
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 alpha))) (-.f64 1 (*.f64 2 (/.f64 beta alpha))))
(/.f64 (fma.f64 2 beta 2) alpha)
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha)))) (-.f64 1 (/.f64 2 alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 2 beta) alpha))) (-.f64 1 (/.f64 2 alpha)))
(+.f64 (/.f64 2 alpha) (expm1.f64 (log1p.f64 (/.f64 beta (/.f64 alpha 2)))))
(-.f64 (/.f64 (pow.f64 (/.f64 beta alpha) 2) (/.f64 (*.f64 (/.f64 2 alpha) (-.f64 beta 1)) 4)) (/.f64 (pow.f64 alpha -2) (/.f64 (*.f64 (/.f64 2 alpha) (-.f64 beta 1)) 4)))
(-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 beta alpha) 2) (*.f64 (/.f64 2 alpha) (+.f64 beta -1))) 4) (*.f64 (/.f64 (pow.f64 alpha -2) (*.f64 (/.f64 2 alpha) (+.f64 beta -1))) 4))
(*.f64 4 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 beta alpha) 2) (fma.f64 2 beta -2)) alpha) (*.f64 (/.f64 (pow.f64 alpha -2) (fma.f64 2 beta -2)) alpha)))
(*.f64 4 (*.f64 alpha (-.f64 (/.f64 (pow.f64 (/.f64 beta alpha) 2) (fma.f64 2 beta -2)) (/.f64 (pow.f64 alpha -2) (fma.f64 2 beta -2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (exp.f64 (log1p.f64 (/.f64 2 alpha)))) 1)
(/.f64 (fma.f64 2 beta 2) alpha)
(-.f64 (+.f64 (/.f64 2 alpha) (exp.f64 (log1p.f64 (*.f64 2 (/.f64 beta alpha))))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 2 beta) alpha))) (-.f64 1 (/.f64 2 alpha)))
(+.f64 (/.f64 2 alpha) (expm1.f64 (log1p.f64 (/.f64 beta (/.f64 alpha 2)))))
(*.f64 2 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 1 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 1 alpha) (+.f64 (*.f64 2 beta) 2))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 1 alpha) (+.f64 2 (*.f64 2 beta)))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 2 alpha) (+.f64 beta 1))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 1)
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (sqrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))) (sqrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (cbrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))) 2))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))) 2) (cbrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) 2)
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (/.f64 1 (*.f64 (/.f64 2 alpha) (-.f64 beta 1))))
(*.f64 4 (*.f64 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)) (/.f64 1 (*.f64 (/.f64 2 alpha) (+.f64 beta -1)))))
(*.f64 (*.f64 2 alpha) (/.f64 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)) (+.f64 beta -1)))
(*.f64 (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)) (/.f64 1 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 beta alpha) 3) 8 (/.f64 8 (pow.f64 alpha 3))) 1) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 2 (*.f64 (/.f64 beta alpha) (*.f64 (/.f64 2 alpha) (+.f64 beta -1))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 beta alpha) 3) 8 (/.f64 8 (pow.f64 alpha 3))) (fma.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 (fma.f64 2 beta -2) alpha)) (/.f64 4 (*.f64 alpha alpha))))
(*.f64 (+.f64 beta 1) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 1 (*.f64 (/.f64 2 alpha) (-.f64 beta 1))) (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))))
(*.f64 4 (*.f64 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)) (/.f64 1 (*.f64 (/.f64 2 alpha) (+.f64 beta -1)))))
(*.f64 (*.f64 2 alpha) (/.f64 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)) (+.f64 beta -1)))
(*.f64 (/.f64 1 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1))))) (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 beta alpha) 3) 8 (/.f64 8 (pow.f64 alpha 3))) 1) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 2 (*.f64 (/.f64 beta alpha) (*.f64 (/.f64 2 alpha) (+.f64 beta -1))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 beta alpha) 3) 8 (/.f64 8 (pow.f64 alpha 3))) (fma.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 (fma.f64 2 beta -2) alpha)) (/.f64 4 (*.f64 alpha alpha))))
(*.f64 (/.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)))) (*.f64 (/.f64 2 alpha) (+.f64 beta 1)))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 (/.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (-.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (*.f64 (/.f64 2 alpha) (*.f64 (/.f64 2 alpha) (+.f64 beta 1)))))
(*.f64 (/.f64 4 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (/.f64 8 (pow.f64 alpha 3))) (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)))) (fma.f64 (pow.f64 (/.f64 beta alpha) 2) 4 (*.f64 (/.f64 2 alpha) (*.f64 (/.f64 2 alpha) (+.f64 beta 1)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)) (*.f64 4 (fma.f64 (pow.f64 (/.f64 beta alpha) 2) 4 (*.f64 (+.f64 beta 1) (pow.f64 (/.f64 2 alpha) 2))))) (fma.f64 (pow.f64 (/.f64 beta alpha) 3) 8 (/.f64 -8 (pow.f64 alpha 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)) (*.f64 4 (fma.f64 (pow.f64 (/.f64 beta alpha) 2) 4 (*.f64 (+.f64 beta 1) (*.f64 4 (pow.f64 alpha -2)))))) (fma.f64 (pow.f64 (/.f64 beta alpha) 3) 8 (/.f64 -8 (pow.f64 alpha 3))))
(*.f64 (/.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (-.f64 (*.f64 2 beta) 2)) alpha)
(*.f64 4 (*.f64 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)) (/.f64 1 (*.f64 (/.f64 2 alpha) (+.f64 beta -1)))))
(*.f64 (*.f64 2 alpha) (/.f64 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)) (+.f64 beta -1)))
(*.f64 (/.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (-.f64 (*.f64 (*.f64 2 beta) alpha) (*.f64 alpha 2))) (*.f64 alpha alpha))
(*.f64 (*.f64 alpha alpha) (/.f64 4 (/.f64 (-.f64 (*.f64 2 (*.f64 beta alpha)) (*.f64 2 alpha)) (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)))))
(*.f64 alpha (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2)) (*.f64 4 alpha)) (*.f64 alpha (fma.f64 2 beta -2))))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)) (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4)) (*.f64 (*.f64 (/.f64 2 alpha) (*.f64 (/.f64 2 alpha) (-.f64 1 beta))) (*.f64 (/.f64 2 alpha) (*.f64 (/.f64 2 alpha) (-.f64 1 beta)))))) (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) 4) (*.f64 (/.f64 -2 alpha) (*.f64 (/.f64 2 alpha) (-.f64 1 beta)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 beta alpha) 3) 8 (/.f64 8 (pow.f64 alpha 3))) (fma.f64 (pow.f64 (/.f64 beta alpha) 2) 4 (*.f64 (*.f64 (/.f64 2 alpha) (-.f64 1 beta)) (/.f64 -2 alpha)))) (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 (/.f64 beta alpha) 2)) 16) (*.f64 (/.f64 2 alpha) (*.f64 (*.f64 (/.f64 2 alpha) (-.f64 1 beta)) (*.f64 (/.f64 2 alpha) (*.f64 (/.f64 2 alpha) (-.f64 1 beta)))))))
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(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 beta alpha) 3) 8 (/.f64 8 (pow.f64 alpha 3))) 1) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 2 (*.f64 (/.f64 beta alpha) (*.f64 (/.f64 2 alpha) (+.f64 beta -1))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 beta alpha) 3) 8 (/.f64 8 (pow.f64 alpha 3))) (fma.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 (fma.f64 2 beta -2) alpha)) (/.f64 4 (*.f64 alpha alpha))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)) (sqrt.f64 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1)))))) (sqrt.f64 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 beta alpha) 3) 8 (/.f64 8 (pow.f64 alpha 3))) 1) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 2 (*.f64 (/.f64 beta alpha) (*.f64 (/.f64 2 alpha) (+.f64 beta -1))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 beta alpha) 3) 8 (/.f64 8 (pow.f64 alpha 3))) (fma.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 (fma.f64 2 beta -2) alpha)) (/.f64 4 (*.f64 alpha alpha))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)) (*.f64 (cbrt.f64 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1))))) (cbrt.f64 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1))))))) (cbrt.f64 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 beta alpha) 3) 8 (/.f64 8 (pow.f64 alpha 3))) 1) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 2 (*.f64 (/.f64 beta alpha) (*.f64 (/.f64 2 alpha) (+.f64 beta -1))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 beta alpha) 3) 8 (/.f64 8 (pow.f64 alpha 3))) (fma.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 (fma.f64 2 beta -2) alpha)) (/.f64 4 (*.f64 alpha alpha))))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 2 beta) alpha) (*.f64 alpha 2)) alpha) alpha)
(/.f64 (fma.f64 2 alpha (*.f64 2 (*.f64 beta alpha))) (*.f64 alpha alpha))
(/.f64 (*.f64 alpha (fma.f64 2 beta 2)) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 2 beta) alpha) (*.f64 alpha 2)) 1) (*.f64 alpha alpha))
(/.f64 (fma.f64 2 alpha (*.f64 2 (*.f64 beta alpha))) (*.f64 alpha alpha))
(/.f64 (*.f64 alpha (fma.f64 2 beta 2)) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 2 beta) alpha) (*.f64 alpha 2)) (sqrt.f64 alpha)) (*.f64 (sqrt.f64 alpha) alpha))
(/.f64 (fma.f64 2 alpha (*.f64 2 (*.f64 beta alpha))) (*.f64 alpha alpha))
(/.f64 (*.f64 alpha (fma.f64 2 beta 2)) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 2 beta) alpha) (*.f64 alpha 2)) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (cbrt.f64 alpha) alpha))
(/.f64 (fma.f64 2 alpha (*.f64 2 (*.f64 beta alpha))) (*.f64 alpha alpha))
(/.f64 (*.f64 alpha (fma.f64 2 beta 2)) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 2 beta) alpha) (*.f64 alpha 2)) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 alpha) 2))) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (fma.f64 2 alpha (*.f64 2 (*.f64 beta alpha))) (*.f64 alpha alpha))
(/.f64 (*.f64 alpha (fma.f64 2 beta 2)) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 2 beta) alpha) (*.f64 alpha 2)) (*.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha))
(/.f64 (fma.f64 2 alpha (*.f64 2 (*.f64 beta alpha))) (*.f64 alpha alpha))
(/.f64 (*.f64 alpha (fma.f64 2 beta 2)) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 2 beta) alpha) (*.f64 alpha 2)) (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(/.f64 (fma.f64 2 alpha (*.f64 2 (*.f64 beta alpha))) (*.f64 alpha alpha))
(/.f64 (*.f64 alpha (fma.f64 2 beta 2)) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 (*.f64 2 alpha) (*.f64 alpha (*.f64 2 beta))) alpha) alpha)
(/.f64 (fma.f64 2 alpha (*.f64 2 (*.f64 beta alpha))) (*.f64 alpha alpha))
(/.f64 (*.f64 alpha (fma.f64 2 beta 2)) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 (*.f64 2 alpha) (*.f64 alpha (*.f64 2 beta))) 1) (*.f64 alpha alpha))
(/.f64 (fma.f64 2 alpha (*.f64 2 (*.f64 beta alpha))) (*.f64 alpha alpha))
(/.f64 (*.f64 alpha (fma.f64 2 beta 2)) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 (*.f64 2 alpha) (*.f64 alpha (*.f64 2 beta))) (sqrt.f64 alpha)) (*.f64 (sqrt.f64 alpha) alpha))
(/.f64 (fma.f64 2 alpha (*.f64 2 (*.f64 beta alpha))) (*.f64 alpha alpha))
(/.f64 (*.f64 alpha (fma.f64 2 beta 2)) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 (*.f64 2 alpha) (*.f64 alpha (*.f64 2 beta))) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (cbrt.f64 alpha) alpha))
(/.f64 (fma.f64 2 alpha (*.f64 2 (*.f64 beta alpha))) (*.f64 alpha alpha))
(/.f64 (*.f64 alpha (fma.f64 2 beta 2)) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 (*.f64 2 alpha) (*.f64 alpha (*.f64 2 beta))) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 alpha) 2))) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (fma.f64 2 alpha (*.f64 2 (*.f64 beta alpha))) (*.f64 alpha alpha))
(/.f64 (*.f64 alpha (fma.f64 2 beta 2)) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 (*.f64 2 alpha) (*.f64 alpha (*.f64 2 beta))) (*.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha))
(/.f64 (fma.f64 2 alpha (*.f64 2 (*.f64 beta alpha))) (*.f64 alpha alpha))
(/.f64 (*.f64 alpha (fma.f64 2 beta 2)) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 (*.f64 2 alpha) (*.f64 alpha (*.f64 2 beta))) (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(/.f64 (fma.f64 2 alpha (*.f64 2 (*.f64 beta alpha))) (*.f64 alpha alpha))
(/.f64 (*.f64 alpha (fma.f64 2 beta 2)) (*.f64 alpha alpha))
(pow.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 1)
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))) 2)
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))) 3)
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (pow.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 3) 1/3)
(/.f64 (fma.f64 2 beta 2) alpha)
(neg.f64 (/.f64 (*.f64 4 (-.f64 (pow.f64 (/.f64 beta alpha) 2) (pow.f64 alpha -2))) (/.f64 (neg.f64 (-.f64 (*.f64 2 beta) 2)) alpha)))
(*.f64 (/.f64 4 (/.f64 2 alpha)) (/.f64 (-.f64 (pow.f64 alpha -2) (pow.f64 (/.f64 beta alpha) 2)) (-.f64 1 beta)))
(*.f64 (*.f64 2 alpha) (/.f64 (-.f64 (pow.f64 alpha -2) (pow.f64 (/.f64 beta alpha) 2)) (-.f64 1 beta)))
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (/.f64 beta alpha) 3) 8) (pow.f64 (/.f64 2 alpha) 3)) (neg.f64 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 (/.f64 2 alpha) (-.f64 beta 1)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 beta alpha) 3) 8 (/.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 2 (*.f64 (/.f64 beta alpha) (*.f64 (/.f64 2 alpha) (+.f64 beta -1)))))))
(*.f64 1 (/.f64 (fma.f64 (pow.f64 (/.f64 beta alpha) 3) 8 (/.f64 8 (pow.f64 alpha 3))) (fma.f64 2 (*.f64 (/.f64 beta alpha) (/.f64 (fma.f64 2 beta -2) alpha)) (/.f64 4 (*.f64 alpha alpha)))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2))
(fabs.f64 (/.f64 (fma.f64 2 beta 2) alpha))
(log.f64 (exp.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))))
(/.f64 (fma.f64 2 beta 2) alpha)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)))))
(/.f64 (fma.f64 2 beta 2) alpha)
(cbrt.f64 (pow.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 3))
(/.f64 (fma.f64 2 beta 2) alpha)
(expm1.f64 (log1p.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))))
(/.f64 (fma.f64 2 beta 2) alpha)
(exp.f64 (log.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))))
(/.f64 (fma.f64 2 beta 2) alpha)
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))) 1))
(/.f64 (fma.f64 2 beta 2) alpha)
(log1p.f64 (expm1.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))))
(/.f64 (fma.f64 2 beta 2) alpha)
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(fma.f64 2 (/.f64 1 alpha) (*.f64 2 (/.f64 beta alpha)))
(/.f64 (fma.f64 2 beta 2) alpha)
(fma.f64 (/.f64 beta alpha) 2 (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(fma.f64 1 (*.f64 2 (/.f64 beta alpha)) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(fma.f64 1 (/.f64 2 alpha) (*.f64 2 (/.f64 beta alpha)))
(/.f64 (fma.f64 2 beta 2) alpha)
(fma.f64 (/.f64 1 alpha) 2 (*.f64 2 (/.f64 beta alpha)))
(/.f64 (fma.f64 2 beta 2) alpha)
(fma.f64 (sqrt.f64 (/.f64 2 alpha)) (sqrt.f64 (/.f64 2 alpha)) (*.f64 2 (/.f64 beta alpha)))
(/.f64 (fma.f64 2 beta 2) alpha)
(fma.f64 (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) (sqrt.f64 (*.f64 2 (/.f64 beta alpha))) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 alpha)) 2) (cbrt.f64 (/.f64 2 alpha)) (*.f64 2 (/.f64 beta alpha)))
(/.f64 (fma.f64 2 beta 2) alpha)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) 2) (cbrt.f64 (*.f64 2 (/.f64 beta alpha))) (/.f64 2 alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 alpha))) 1)
(/.f64 2 alpha)
(/.f64 2 alpha)
(/.f64 1 (/.f64 alpha 2))
(/.f64 2 alpha)
(/.f64 (/.f64 2 alpha) 1)
(/.f64 2 alpha)
(/.f64 -2 (neg.f64 alpha))
(/.f64 2 alpha)
(/.f64 (/.f64 2 (sqrt.f64 alpha)) (sqrt.f64 alpha))
(/.f64 2 alpha)
(/.f64 (/.f64 2 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(/.f64 2 alpha)
(/.f64 (/.f64 2 (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 2 alpha)
(/.f64 (/.f64 -2 (sqrt.f64 alpha)) (neg.f64 (sqrt.f64 alpha)))
(/.f64 2 alpha)
(/.f64 (/.f64 -2 (pow.f64 (cbrt.f64 alpha) 2)) (neg.f64 (cbrt.f64 alpha)))
(/.f64 2 alpha)
(/.f64 (/.f64 -2 (sqrt.f64 (neg.f64 alpha))) (sqrt.f64 (neg.f64 alpha)))
(/.f64 2 alpha)
(/.f64 (/.f64 -2 (*.f64 (cbrt.f64 (neg.f64 alpha)) (cbrt.f64 (neg.f64 alpha)))) (cbrt.f64 (neg.f64 alpha)))
(/.f64 2 alpha)
(/.f64 (/.f64 -2 (neg.f64 (sqrt.f64 alpha))) (sqrt.f64 alpha))
(/.f64 2 alpha)
(/.f64 (/.f64 -2 (neg.f64 (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(/.f64 2 alpha)
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 alpha)) 1) (sqrt.f64 alpha))
(/.f64 2 alpha)
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 alpha)) (cbrt.f64 alpha)) (cbrt.f64 (sqrt.f64 alpha)))
(/.f64 (/.f64 2 (sqrt.f64 alpha)) (*.f64 (cbrt.f64 (sqrt.f64 alpha)) (cbrt.f64 alpha)))
(/.f64 2 (*.f64 (cbrt.f64 (sqrt.f64 alpha)) (*.f64 (sqrt.f64 alpha) (cbrt.f64 alpha))))
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 alpha)) (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2))) (sqrt.f64 (cbrt.f64 alpha)))
(/.f64 (/.f64 2 (sqrt.f64 alpha)) (*.f64 (sqrt.f64 (cbrt.f64 alpha)) (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2))))
(/.f64 (/.f64 2 (*.f64 (sqrt.f64 alpha) (fabs.f64 (cbrt.f64 alpha)))) (sqrt.f64 (cbrt.f64 alpha)))
(/.f64 (/.f64 (/.f64 2 (sqrt.f64 alpha)) (sqrt.f64 (sqrt.f64 alpha))) (sqrt.f64 (sqrt.f64 alpha)))
(/.f64 2 alpha)
(/.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 alpha) 2)) 1) (cbrt.f64 alpha))
(/.f64 2 alpha)
(/.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 alpha) 2)) (sqrt.f64 (cbrt.f64 alpha))) (sqrt.f64 (cbrt.f64 alpha)))
(/.f64 2 alpha)
(/.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 (cbrt.f64 alpha)))
(/.f64 (/.f64 2 (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (cbrt.f64 (cbrt.f64 alpha)) (cbrt.f64 (pow.f64 (cbrt.f64 alpha) 2))))
(/.f64 2 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (cbrt.f64 alpha))) (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (cbrt.f64 (cbrt.f64 alpha)) (cbrt.f64 (cbrt.f64 alpha)))) (cbrt.f64 (cbrt.f64 alpha)))
(/.f64 2 alpha)
(/.f64 (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (sqrt.f64 alpha))) (cbrt.f64 (sqrt.f64 alpha)))
(/.f64 (/.f64 2 (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (cbrt.f64 (sqrt.f64 alpha)) (cbrt.f64 (sqrt.f64 alpha))))
(/.f64 2 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 alpha)) (cbrt.f64 (sqrt.f64 alpha))) (pow.f64 (cbrt.f64 alpha) 2)))
(pow.f64 (/.f64 2 alpha) 1)
(/.f64 2 alpha)
(pow.f64 (sqrt.f64 (/.f64 2 alpha)) 2)
(/.f64 2 alpha)
(pow.f64 (cbrt.f64 (/.f64 2 alpha)) 3)
(/.f64 2 alpha)
(pow.f64 (pow.f64 (/.f64 2 alpha) 3) 1/3)
(/.f64 2 alpha)
(sqrt.f64 (/.f64 4 (*.f64 alpha alpha)))
(log.f64 (exp.f64 (/.f64 2 alpha)))
(/.f64 2 alpha)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 alpha))))
(/.f64 2 alpha)
(cbrt.f64 (pow.f64 (/.f64 2 alpha) 3))
(/.f64 2 alpha)
(expm1.f64 (log1p.f64 (/.f64 2 alpha)))
(/.f64 2 alpha)
(exp.f64 (log.f64 (/.f64 2 alpha)))
(/.f64 2 alpha)
(exp.f64 (*.f64 (log.f64 (/.f64 2 alpha)) 1))
(/.f64 2 alpha)
(log1p.f64 (expm1.f64 (/.f64 2 alpha)))
(/.f64 2 alpha)

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
0.0b
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
0.0b
(fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
1.3b
(-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))
Compiler

Compiled 75 to 50 computations (33.3% saved)

series7.0ms (0%)

Counts
4 → 96
Calls

24 calls:

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

rewrite110.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1344×associate-/r*
1272×distribute-lft-in
902×associate-/l*
754×associate-/r/
348×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
013114
1295112
24092112
Stop Event
node limit
Counts
4 → 213
Calls
Call 1
Inputs
(-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(/.f64 alpha (+.f64 alpha (+.f64 beta 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))))))

simplify191.0ms (0.6%)

Algorithm
egg-herbie
Rules
926×+-commutative
866×associate-*r*
792×*-commutative
636×associate-*l*
630×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
080318681
1252818117
Stop Event
node limit
Counts
309 → 499
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 beta 2)))))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 -1 (/.f64 alpha (+.f64 beta 2))))))
(/.f64 (+.f64 beta 2) alpha)
(+.f64 (/.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 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 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))))
(/.f64 (+.f64 beta 2) alpha)
(+.f64 (/.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 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 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))))
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)))))) (/.f64 alpha (+.f64 2 alpha)))
1
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (+.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))))))
1
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (+.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 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 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) (/.f64 alpha beta))
(-.f64 (+.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 alpha beta))
(-.f64 (+.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)))))))) (/.f64 alpha beta))
2
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) 2)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 3))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (+.f64 (*.f64 (-.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 beta 2)) alpha))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3))))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(-.f64 (+.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 beta 2)) alpha)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3)))))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))))
(/.f64 alpha (+.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 alpha (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 alpha (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
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(*.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (-.f64 alpha (+.f64 beta 2)))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (cbrt.f64 (-.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(pow.f64 (+.f64 alpha (+.f64 beta 2)) -1)
(pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1)
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
Outputs
1
(+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 beta 2))))
(+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 beta 2)))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 1 (*.f64 -1 (/.f64 alpha (+.f64 beta 2)))))
(+.f64 (+.f64 1 (/.f64 (neg.f64 alpha) (+.f64 beta 2))) (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 (neg.f64 alpha) (+.f64 beta 2)) (+.f64 1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))
(+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 -1 (/.f64 alpha (+.f64 beta 2))))))
(+.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (neg.f64 alpha) (+.f64 beta 2)))))
(+.f64 (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (+.f64 1 (/.f64 alpha (/.f64 (pow.f64 (+.f64 beta 2) 2) alpha))))
(/.f64 (+.f64 beta 2) alpha)
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 2 alpha)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))
(+.f64 (+.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))
(+.f64 (/.f64 beta alpha) (+.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.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 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 2 alpha)))))
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))
(/.f64 (+.f64 beta 2) alpha)
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 2 alpha)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))
(+.f64 (+.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))
(+.f64 (/.f64 beta alpha) (+.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 2 alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.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 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 2 alpha)))))
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 alpha (+.f64 alpha 2))))
(+.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) alpha) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (+.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (neg.f64 (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3)))) (/.f64 alpha (+.f64 alpha 2))))
(+.f64 (+.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) alpha) (/.f64 (*.f64 (neg.f64 alpha) (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 (*.f64 (pow.f64 beta 3) alpha) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 2 alpha) 3)))))) (/.f64 alpha (+.f64 2 alpha)))
(+.f64 1 (-.f64 (+.f64 (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (neg.f64 (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3))) (/.f64 (*.f64 alpha (pow.f64 beta 3)) (pow.f64 (+.f64 alpha 2) 4)))) (/.f64 alpha (+.f64 alpha 2))))
(+.f64 (+.f64 (/.f64 (*.f64 (neg.f64 alpha) (*.f64 beta beta)) (pow.f64 (+.f64 alpha 2) 3)) (+.f64 (*.f64 (/.f64 beta (pow.f64 (+.f64 alpha 2) 2)) alpha) (*.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 4)) alpha))) (-.f64 1 (/.f64 alpha (+.f64 alpha 2))))
1
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)
(fma.f64 -1 (/.f64 alpha beta) 1)
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(+.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))
(+.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (+.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 (fma.f64 -1 (/.f64 alpha beta) 1) (+.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)))))
(+.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (+.f64 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) alpha) (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3))))
1
(+.f64 (*.f64 -1 (/.f64 alpha beta)) 1)
(fma.f64 -1 (/.f64 alpha beta) 1)
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2))))
(+.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)))
(+.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 1 (+.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 (fma.f64 -1 (/.f64 alpha beta) 1) (+.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)))))
(+.f64 (fma.f64 -1 (/.f64 alpha beta) 1) (+.f64 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) alpha) (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3))))
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (/.f64 alpha (+.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (*.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (-.f64 (*.f64 beta (*.f64 beta (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))))) (/.f64 alpha (+.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (-.f64 (fma.f64 (*.f64 beta beta) (fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 3)) (/.f64 -1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))))) (/.f64 alpha (+.f64 alpha 2))))
2
(-.f64 (+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))) (/.f64 alpha beta))
(+.f64 2 (-.f64 (neg.f64 (/.f64 (+.f64 alpha 2) beta)) (/.f64 alpha beta)))
(+.f64 (/.f64 (neg.f64 (+.f64 alpha 2)) beta) (-.f64 2 (/.f64 alpha beta)))
(-.f64 (+.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 alpha beta))
(-.f64 (+.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))))) (/.f64 alpha beta))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (+.f64 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))) (-.f64 2 (/.f64 alpha beta)))
(-.f64 (+.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)))))))) (/.f64 alpha beta))
(+.f64 2 (-.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (+.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))))) (/.f64 alpha beta)))
(+.f64 2 (-.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (+.f64 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (+.f64 (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))))) (/.f64 alpha beta)))
2
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) 2)
(fma.f64 -1 (/.f64 (-.f64 (+.f64 alpha 2) (neg.f64 alpha)) beta) 2)
(fma.f64 -1 (/.f64 (+.f64 alpha (-.f64 2 (neg.f64 alpha))) beta) 2)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)))))
(fma.f64 -1 (/.f64 (-.f64 (+.f64 alpha 2) (neg.f64 alpha)) beta) (+.f64 2 (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))))
(+.f64 (+.f64 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) alpha) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (fma.f64 -1 (/.f64 (+.f64 alpha (-.f64 2 (neg.f64 alpha))) beta) 2))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 2 alpha) (*.f64 -1 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (+.f64 (*.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 (fma.f64 -1 (/.f64 (-.f64 (+.f64 alpha 2) (neg.f64 alpha)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (fma.f64 -1 (/.f64 (fma.f64 (pow.f64 (+.f64 alpha 2) 2) alpha (pow.f64 (+.f64 alpha 2) 3)) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha (-.f64 2 (neg.f64 alpha))) beta) 2) (+.f64 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) alpha) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 (+.f64 alpha 2) alpha)) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))))
(+.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 (fma.f64 (-.f64 (/.f64 (neg.f64 beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (+.f64 beta 2))) alpha (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (fma.f64 (fma.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)))))
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(*.f64 (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (-.f64 (pow.f64 alpha 6) (pow.f64 (+.f64 beta 2) 6))) (-.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))
(*.f64 (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (+.f64 (pow.f64 (pow.f64 alpha 3) 3) (pow.f64 (pow.f64 (+.f64 beta 2) 3) 3))) (+.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 alpha 3)) (-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (+.f64 beta 2) 3)) (*.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
(*.f64 (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (+.f64 (pow.f64 (pow.f64 alpha 3) 3) (pow.f64 (pow.f64 (+.f64 beta 2) 3) 3))) (+.f64 (pow.f64 alpha 6) (-.f64 (pow.f64 (+.f64 beta 2) 6) (*.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
(*.f64 (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (+.f64 (pow.f64 (pow.f64 alpha 3) 3) (pow.f64 (pow.f64 (+.f64 beta 2) 3) 3))) (+.f64 (pow.f64 alpha 6) (*.f64 (pow.f64 (+.f64 beta 2) 3) (-.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 beta (-.f64 2 alpha)))
(/.f64 (*.f64 1 (+.f64 beta (-.f64 2 alpha))) (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 beta (-.f64 2 alpha))))
(*.f64 (/.f64 1 (-.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 4)) (+.f64 alpha (-.f64 beta 2)))
(*.f64 (+.f64 alpha (+.f64 beta -2)) (/.f64 1 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) -4)))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (-.f64 4 (*.f64 (+.f64 alpha beta) 2))))
(*.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (-.f64 4 (*.f64 2 (+.f64 alpha beta)))) (/.f64 1 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))
(*.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) (+.f64 4 (*.f64 -2 (+.f64 alpha beta)))) (/.f64 1 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))
(*.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (sqrt.f64 (-.f64 alpha (+.f64 beta 2))))
(*.f64 (sqrt.f64 (-.f64 alpha (+.f64 beta 2))) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))))
(*.f64 (sqrt.f64 (+.f64 alpha (-.f64 -2 beta))) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))))
(*.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(*.f64 (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (-.f64 alpha (+.f64 beta 2)))
(*.f64 (-.f64 alpha (+.f64 beta 2)) (/.f64 1 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))
(*.f64 (+.f64 alpha (-.f64 -2 beta)) (/.f64 1 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))
(*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (/.f64 1 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (cbrt.f64 (-.f64 alpha (+.f64 beta 2))))
(*.f64 (cbrt.f64 (-.f64 alpha (+.f64 beta 2))) (/.f64 1 (*.f64 (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))))
(*.f64 (cbrt.f64 (+.f64 alpha (-.f64 -2 beta))) (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(*.f64 (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))))
(*.f64 (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)))
(pow.f64 (+.f64 alpha (+.f64 beta 2)) -1)
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 1)
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -1/2) 2)
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) 3)
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))
(/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 3))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) 3))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(exp.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) -1))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 2)))) 1))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))

eval3.7s (12.5%)

Compiler

Compiled 148920 to 105216 computations (29.3% saved)

prune1.2s (4%)

Pruning

32 alts after pruning (24 fresh and 8 done)

PrunedKeptTotal
New1962101972
Fresh31417
Picked011
Done279
Total1967321999
Error
0.1b
Counts
1999 → 32
Alt Table
Click to see full alt table
StatusErrorProgram
17.2b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 3)) (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))) 2)
17.2b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 3)) (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))))) 2)
17.2b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))))))) 2)
17.2b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 2)
17.2b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))) 2)
46.7b
(/.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 2 beta) alpha) (*.f64 alpha 2)) alpha) alpha) 2)
43.9b
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
57.7b
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
57.7b
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2)
48.1b
(/.f64 (/.f64 2 alpha) 2)
17.9b
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
17.2b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (-.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))) 2)
17.2b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) 2)
17.2b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
17.2b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) 2)) 6) (pow.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 3))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))))) 2)
18.8b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
17.9b
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
45.0b
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
33.8b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
17.9b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
18.8b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
45.2b
(/.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 2 (/.f64 -2 beta))) 2)
17.9b
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2)
36.6b
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 2)
18.8b
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) beta) 1) 2)
43.1b
(/.f64 (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2)
35.7b
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
45.4b
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
34.7b
(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2)
43.9b
(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2)
40.7b
(/.f64 2 2)
33.6b
(/.f64 1 2)
Compiler

Compiled 1363 to 1016 computations (25.5% saved)

localize168.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)
0.1b
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 3)
0.1b
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)
1.3b
(-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 3))
Compiler

Compiled 452 to 319 computations (29.4% saved)

series64.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
39.0ms
beta
@-inf
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 3)
6.0ms
alpha
@-inf
(-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 3))
5.0ms
alpha
@inf
(-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 3))
4.0ms
beta
@0
(-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 3))
3.0ms
beta
@inf
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 3)

rewrite134.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1260×associate-/r*
1228×distribute-lft-in
836×associate-/l*
624×associate-/r/
300×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01381
130681
2406981
Stop Event
node limit
Counts
3 → 292
Calls
Call 1
Inputs
(-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 3))
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 3)
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 1 (*.f64 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9))) (sqrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 18)) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 27)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 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simplify403.0ms (1.4%)

Algorithm
egg-herbie
Rules
1714×associate-/r*
1472×associate-+l+
836×associate-*l/
816×associate-*r/
666×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0137737952
1463437694
Stop Event
node limit
Counts
364 → 562
Calls
Call 1
Inputs
1
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 alpha 9) (pow.f64 (+.f64 beta 2) 9))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 9) (pow.f64 (+.f64 beta 2) 9))) (*.f64 9 (/.f64 (pow.f64 alpha 10) (pow.f64 (+.f64 beta 2) 10)))))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -8 (+.f64 beta 2))) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (+.f64 (*.f64 -4 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2)))) (+.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) 2) (*.f64 16 (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -8 (+.f64 beta 2))) alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (+.f64 (*.f64 -4 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2)))) (+.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) 2) (*.f64 16 (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -8 (+.f64 beta 2))) alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -2 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2))) (+.f64 (*.f64 (+.f64 (*.f64 -4 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 4 (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (*.f64 (+.f64 (*.f64 8 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) 2) (*.f64 4 (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2)))) (+.f64 (*.f64 -4 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2))) (+.f64 (*.f64 -16 (pow.f64 (+.f64 beta 2) 3)) (*.f64 2 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 4 (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2)))))))))))) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (+.f64 (*.f64 -4 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2)))) (+.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) 2) (*.f64 16 (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -4 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -2 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)))))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))))) (+.f64 (*.f64 32 (pow.f64 (+.f64 beta 2) 4)) (+.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2))) (+.f64 (*.f64 -4 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -2 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -8 (pow.f64 (+.f64 beta 2) 3)) (*.f64 2 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 4 (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))))))))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2)))) (+.f64 (pow.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 4 (pow.f64 (+.f64 beta 2) 2))) 2) (+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -4 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2))) (*.f64 -2 (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (*.f64 -4 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2)))) (+.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (+.f64 (*.f64 8 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) 2) (*.f64 4 (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 4 (pow.f64 (+.f64 beta 2) 2)))) (*.f64 4 (pow.f64 (+.f64 beta 2) 4)))))))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -8 (+.f64 beta 2))) alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -2 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2))) (+.f64 (*.f64 (+.f64 (*.f64 -4 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 4 (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (*.f64 (+.f64 (*.f64 8 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) 2) (*.f64 4 (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2)))) (+.f64 (*.f64 -4 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2))) (+.f64 (*.f64 -16 (pow.f64 (+.f64 beta 2) 3)) (*.f64 2 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 4 (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2)))))))))))) (pow.f64 alpha 3))))))
(/.f64 (+.f64 beta (+.f64 18 (*.f64 8 beta))) alpha)
(+.f64 (*.f64 8 (/.f64 beta alpha)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 2 beta)))) (+.f64 (*.f64 8 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 4 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 2 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) (+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) 2)))))) (pow.f64 alpha 2))) (*.f64 18 (/.f64 1 alpha)))))
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1
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1
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1
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(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (*.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) -1) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))
(exp.f64 (*.f64 3 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))
Outputs
1
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 alpha 9) (pow.f64 (+.f64 beta 2) 9))))
(+.f64 1 (neg.f64 (/.f64 (pow.f64 alpha 9) (pow.f64 (+.f64 beta 2) 9))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 9) (pow.f64 (+.f64 beta 2) 9))) (*.f64 9 (/.f64 (pow.f64 alpha 10) (pow.f64 (+.f64 beta 2) 10)))))
(+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 alpha 9) (pow.f64 (+.f64 beta 2) 9)) (/.f64 (*.f64 9 (pow.f64 alpha 10)) (pow.f64 (+.f64 beta 2) 10))))
(+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 alpha 9) (pow.f64 (+.f64 beta 2) 9)) (*.f64 9 (/.f64 (pow.f64 alpha 10) (pow.f64 (+.f64 beta 2) 10)))))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -8 (+.f64 beta 2))) alpha))
(neg.f64 (/.f64 (*.f64 (+.f64 beta 2) -9) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (+.f64 (*.f64 -4 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2)))) (+.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) 2) (*.f64 16 (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -8 (+.f64 beta 2))) alpha)))
(fma.f64 -1 (/.f64 (fma.f64 2 (pow.f64 (+.f64 beta 2) 2) (fma.f64 (*.f64 (+.f64 beta 2) -6) (*.f64 (+.f64 beta 2) -3) (+.f64 (pow.f64 (*.f64 (+.f64 beta 2) -3) 2) (*.f64 (pow.f64 (+.f64 beta 2) 2) 16)))) (*.f64 alpha alpha)) (neg.f64 (/.f64 (*.f64 (+.f64 beta 2) -9) alpha)))
(*.f64 -1 (+.f64 (/.f64 (fma.f64 2 (pow.f64 (+.f64 beta 2) 2) (fma.f64 (*.f64 (+.f64 beta 2) -6) (*.f64 (+.f64 beta 2) -3) (+.f64 (pow.f64 (*.f64 (+.f64 beta 2) -3) 2) (*.f64 (pow.f64 (+.f64 beta 2) 2) 16)))) (*.f64 alpha alpha)) (/.f64 (*.f64 (+.f64 beta 2) -9) alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (+.f64 (*.f64 -4 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2)))) (+.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) 2) (*.f64 16 (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -8 (+.f64 beta 2))) alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -2 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2))) (+.f64 (*.f64 (+.f64 (*.f64 -4 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 4 (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (*.f64 (+.f64 (*.f64 8 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) 2) (*.f64 4 (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2)))) (+.f64 (*.f64 -4 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2))) (+.f64 (*.f64 -16 (pow.f64 (+.f64 beta 2) 3)) (*.f64 2 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 4 (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2)))))))))))) (pow.f64 alpha 3)))))
(fma.f64 -1 (/.f64 (fma.f64 2 (pow.f64 (+.f64 beta 2) 2) (fma.f64 (*.f64 (+.f64 beta 2) -6) (*.f64 (+.f64 beta 2) -3) (+.f64 (pow.f64 (*.f64 (+.f64 beta 2) -3) 2) (*.f64 (pow.f64 (+.f64 beta 2) 2) 16)))) (*.f64 alpha alpha)) (*.f64 -1 (+.f64 (/.f64 (*.f64 (+.f64 beta 2) -9) alpha) (/.f64 (fma.f64 -1 (pow.f64 (+.f64 beta 2) 3) (fma.f64 -2 (*.f64 (+.f64 beta 2) (*.f64 3 (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (*.f64 (+.f64 beta 2) -6) (*.f64 (pow.f64 (+.f64 beta 2) 2) 6) (fma.f64 (fma.f64 8 (pow.f64 (+.f64 beta 2) 2) (+.f64 (pow.f64 (*.f64 (+.f64 beta 2) -3) 2) (*.f64 (pow.f64 (+.f64 beta 2) 2) 4))) (*.f64 (+.f64 beta 2) -3) (fma.f64 -4 (pow.f64 (+.f64 beta 2) 3) (fma.f64 -1 (*.f64 (+.f64 beta 2) (*.f64 3 (pow.f64 (+.f64 beta 2) 2))) (fma.f64 -16 (pow.f64 (+.f64 beta 2) 3) (*.f64 2 (*.f64 (*.f64 (+.f64 beta 2) -3) (*.f64 (pow.f64 (+.f64 beta 2) 2) 6)))))))))) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (+.f64 (*.f64 -4 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2)))) (+.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) 2) (*.f64 16 (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -4 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -2 (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)))))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))))) (+.f64 (*.f64 32 (pow.f64 (+.f64 beta 2) 4)) (+.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2))) (+.f64 (*.f64 -4 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -2 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -8 (pow.f64 (+.f64 beta 2) 3)) (*.f64 2 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 4 (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))))))))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2)))) (+.f64 (pow.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 4 (pow.f64 (+.f64 beta 2) 2))) 2) (+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -4 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2))) (*.f64 -2 (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (*.f64 -4 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2)))) (+.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (+.f64 (*.f64 8 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) 2) (*.f64 4 (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 4 (pow.f64 (+.f64 beta 2) 2)))) (*.f64 4 (pow.f64 (+.f64 beta 2) 4)))))))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -8 (+.f64 beta 2))) alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -2 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2))) (+.f64 (*.f64 (+.f64 (*.f64 -4 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 4 (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (*.f64 (+.f64 (*.f64 8 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))) 2) (*.f64 4 (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2)))) (+.f64 (*.f64 -4 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2))) (+.f64 (*.f64 -16 (pow.f64 (+.f64 beta 2) 3)) (*.f64 2 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (*.f64 4 (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2)))))))))))) (pow.f64 alpha 3))))))
(fma.f64 -1 (/.f64 (fma.f64 2 (pow.f64 (+.f64 beta 2) 2) (fma.f64 (*.f64 (+.f64 beta 2) -6) (*.f64 (+.f64 beta 2) -3) (+.f64 (pow.f64 (*.f64 (+.f64 beta 2) -3) 2) (*.f64 (pow.f64 (+.f64 beta 2) 2) 16)))) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 3 (pow.f64 (+.f64 beta 2) 2))) (fma.f64 2 (*.f64 (*.f64 (+.f64 beta 2) -3) (fma.f64 -1 (pow.f64 (+.f64 beta 2) 3) (fma.f64 -4 (pow.f64 (+.f64 beta 2) 3) (fma.f64 -2 (pow.f64 (+.f64 beta 2) 3) (neg.f64 (*.f64 (+.f64 beta 2) (*.f64 3 (pow.f64 (+.f64 beta 2) 2)))))))) (fma.f64 32 (pow.f64 (+.f64 beta 2) 4) (fma.f64 (fma.f64 -2 (*.f64 (+.f64 beta 2) (*.f64 3 (pow.f64 (+.f64 beta 2) 2))) (fma.f64 -4 (pow.f64 (+.f64 beta 2) 3) (fma.f64 -2 (pow.f64 (+.f64 beta 2) 3) (fma.f64 -8 (pow.f64 (+.f64 beta 2) 3) (*.f64 2 (*.f64 (*.f64 (+.f64 beta 2) -3) (*.f64 (pow.f64 (+.f64 beta 2) 2) 6))))))) (*.f64 (+.f64 beta 2) -3) (+.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) 6) 2) (fma.f64 (fma.f64 -1 (pow.f64 (+.f64 beta 2) 3) (fma.f64 -4 (pow.f64 (+.f64 beta 2) 3) (fma.f64 -2 (pow.f64 (+.f64 beta 2) 3) (neg.f64 (*.f64 (+.f64 beta 2) (*.f64 3 (pow.f64 (+.f64 beta 2) 2))))))) (*.f64 (+.f64 beta 2) -6) (fma.f64 (*.f64 3 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2) (fma.f64 (fma.f64 8 (pow.f64 (+.f64 beta 2) 2) (+.f64 (pow.f64 (*.f64 (+.f64 beta 2) -3) 2) (*.f64 (pow.f64 (+.f64 beta 2) 2) 4))) (*.f64 (pow.f64 (+.f64 beta 2) 2) 6) (*.f64 4 (pow.f64 (+.f64 beta 2) 4)))))))))) (pow.f64 alpha 4)) (*.f64 -1 (+.f64 (/.f64 (*.f64 (+.f64 beta 2) -9) alpha) (/.f64 (fma.f64 -1 (pow.f64 (+.f64 beta 2) 3) (fma.f64 -2 (*.f64 (+.f64 beta 2) (*.f64 3 (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (*.f64 (+.f64 beta 2) -6) (*.f64 (pow.f64 (+.f64 beta 2) 2) 6) (fma.f64 (fma.f64 8 (pow.f64 (+.f64 beta 2) 2) (+.f64 (pow.f64 (*.f64 (+.f64 beta 2) -3) 2) (*.f64 (pow.f64 (+.f64 beta 2) 2) 4))) (*.f64 (+.f64 beta 2) -3) (fma.f64 -4 (pow.f64 (+.f64 beta 2) 3) (fma.f64 -1 (*.f64 (+.f64 beta 2) (*.f64 3 (pow.f64 (+.f64 beta 2) 2))) (fma.f64 -16 (pow.f64 (+.f64 beta 2) 3) (*.f64 2 (*.f64 (*.f64 (+.f64 beta 2) -3) (*.f64 (pow.f64 (+.f64 beta 2) 2) 6)))))))))) (pow.f64 alpha 3))))))
(/.f64 (+.f64 beta (+.f64 18 (*.f64 8 beta))) alpha)
(/.f64 (+.f64 beta (+.f64 18 (*.f64 beta 8))) alpha)
(+.f64 (*.f64 8 (/.f64 beta alpha)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 2 beta)))) (+.f64 (*.f64 8 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 4 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 2 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) (+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) 2)))))) (pow.f64 alpha 2))) (*.f64 18 (/.f64 1 alpha)))))
(fma.f64 8 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 (+.f64 beta 6) (*.f64 beta 2)) (+.f64 12 (*.f64 beta 6)) (fma.f64 8 (pow.f64 (+.f64 beta 2) 2) (fma.f64 4 (pow.f64 (+.f64 beta 2) 2) (fma.f64 2 (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2))) (fma.f64 (+.f64 4 (*.f64 beta 2)) (+.f64 beta 2) (pow.f64 (+.f64 (+.f64 beta 6) (*.f64 beta 2)) 2)))))) (*.f64 alpha alpha)) (/.f64 18 alpha))))
(fma.f64 8 (/.f64 beta alpha) (+.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 beta (+.f64 6 (*.f64 beta 2))) (+.f64 12 (*.f64 beta 6)) (fma.f64 8 (pow.f64 (+.f64 beta 2) 2) (fma.f64 4 (pow.f64 (+.f64 beta 2) 2) (fma.f64 2 (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2))) (fma.f64 (+.f64 4 (*.f64 beta 2)) (+.f64 beta 2) (pow.f64 (+.f64 beta (+.f64 6 (*.f64 beta 2))) 2)))))) (*.f64 alpha alpha)) (/.f64 18 alpha))))
(+.f64 (*.f64 8 (/.f64 beta alpha)) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 (*.f64 (+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 2 beta))) (+.f64 (*.f64 4 (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)))) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 2 beta)))) (+.f64 (*.f64 8 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 4 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 2 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) (+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) 2)))))) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) (+.f64 (*.f64 4 (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 8 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 2 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))) (pow.f64 (+.f64 beta (+.f64 6 (*.f64 2 beta))) 2))) (+.f64 beta (+.f64 6 (*.f64 2 beta)))) (pow.f64 alpha 3)) (*.f64 18 (/.f64 1 alpha))))))))))))))))
(fma.f64 8 (/.f64 beta alpha) (fma.f64 2 (/.f64 (+.f64 4 (*.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (+.f64 (/.f64 (+.f64 12 (*.f64 beta 6)) (/.f64 (pow.f64 alpha 3) (fma.f64 4 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2)))))) (/.f64 beta alpha)) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 (+.f64 beta 6) (*.f64 beta 2)) (+.f64 12 (*.f64 beta 6)) (fma.f64 8 (pow.f64 (+.f64 beta 2) 2) (fma.f64 4 (pow.f64 (+.f64 beta 2) 2) (fma.f64 2 (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2))) (fma.f64 (+.f64 4 (*.f64 beta 2)) (+.f64 beta 2) (pow.f64 (+.f64 (+.f64 beta 6) (*.f64 beta 2)) 2)))))) (*.f64 alpha alpha)) (fma.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 (*.f64 3 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 (+.f64 4 (*.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 8 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 2 (/.f64 (+.f64 (+.f64 beta 6) (*.f64 beta 2)) (/.f64 (pow.f64 alpha 3) (fma.f64 4 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2)))))) (fma.f64 2 (/.f64 (*.f64 3 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (+.f64 (/.f64 18 alpha) (/.f64 (fma.f64 8 (pow.f64 (+.f64 beta 2) 2) (fma.f64 2 (*.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2))) (pow.f64 (+.f64 (+.f64 beta 6) (*.f64 beta 2)) 2))) (/.f64 (pow.f64 alpha 3) (+.f64 (+.f64 beta 6) (*.f64 beta 2)))))))))))))))))
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1
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1
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(/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) (*.f64 (neg.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)))
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) (*.f64 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (*.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (neg.f64 alpha)) (*.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) (*.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))))
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) -1) (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 alpha (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 9))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)
(exp.f64 (*.f64 3 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(pow.f64 (exp.f64 3) (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 1))
(pow.f64 (exp.f64 3) (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)

localize3.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize13.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 28 to 20 computations (28.6% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite77.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1498×associate-*l/
874×*-commutative
700×unswap-sqr
608×associate-/r*
510×swap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
119719
2255619
Stop Event
node limit
Counts
1 → 127
Calls
Call 1
Inputs
(*.f64 (/.f64 2 alpha) (+.f64 beta 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 alpha) (/.f64 beta (*.f64 alpha 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (*.f64 alpha 1/2)) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 2 alpha))) (-.f64 1 (/.f64 beta (*.f64 alpha 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 beta (*.f64 alpha 1/2)) (exp.f64 (log1p.f64 (/.f64 2 alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 alpha (+.f64 beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 alpha (+.f64 beta -1)) (fma.f64 beta beta -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 alpha (fma.f64 beta beta (-.f64 1 beta))) (+.f64 1 (pow.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 alpha) (/.f64 1 (+.f64 beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 alpha (+.f64 2 (*.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (+.f64 beta -1) (*.f64 alpha 1/2)) (fma.f64 beta beta -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (*.f64 alpha 1/2) (fma.f64 beta beta (-.f64 1 beta))) (+.f64 1 (pow.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 alpha 1/2) (/.f64 1 (+.f64 beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 beta 1) (*.f64 alpha 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 beta 1) (/.f64 (*.f64 (+.f64 beta -1) (*.f64 alpha 1/2)) (+.f64 beta -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 beta 1)) (/.f64 (*.f64 alpha 1/2) (sqrt.f64 (+.f64 beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 beta 1)) (/.f64 (*.f64 alpha 1/2) 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(+.f64 beta 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (/.f64 2 alpha) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 beta) (log.f64 (/.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 alpha) beta (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (/.f64 2 alpha) (/.f64 2 alpha))))))

simplify90.0ms (0.3%)

Algorithm
egg-herbie
Rules
1758×distribute-lft-in
1730×distribute-rgt-in
1080×associate-/l*
514×associate-/l/
478×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03775135
110604635
249914635
Stop Event
node limit
Counts
151 → 205
Calls
Call 1
Inputs
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 2 alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 beta alpha))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 2 alpha) (/.f64 beta (*.f64 alpha 1/2)))
(+.f64 (/.f64 beta (*.f64 alpha 1/2)) (/.f64 2 alpha))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 alpha))) (-.f64 1 (/.f64 beta (*.f64 alpha 1/2))))
(-.f64 (+.f64 (/.f64 beta (*.f64 alpha 1/2)) (exp.f64 (log1p.f64 (/.f64 2 alpha)))) 1)
(/.f64 2 (/.f64 alpha (+.f64 beta 1)))
(/.f64 2 (/.f64 (*.f64 alpha (+.f64 beta -1)) (fma.f64 beta beta -1)))
(/.f64 2 (/.f64 (*.f64 alpha (fma.f64 beta beta (-.f64 1 beta))) (+.f64 1 (pow.f64 beta 3))))
(/.f64 (/.f64 2 alpha) (/.f64 1 (+.f64 beta 1)))
(/.f64 1 (/.f64 alpha (+.f64 2 (*.f64 2 beta))))
(/.f64 1 (/.f64 (*.f64 (+.f64 beta -1) (*.f64 alpha 1/2)) (fma.f64 beta beta -1)))
(/.f64 1 (/.f64 (*.f64 (*.f64 alpha 1/2) (fma.f64 beta beta (-.f64 1 beta))) (+.f64 1 (pow.f64 beta 3))))
(/.f64 1 (*.f64 (*.f64 alpha 1/2) (/.f64 1 (+.f64 beta 1))))
(/.f64 (+.f64 beta 1) (*.f64 alpha 1/2))
(/.f64 (+.f64 beta 1) (/.f64 (*.f64 (+.f64 beta -1) (*.f64 alpha 1/2)) (+.f64 beta -1)))
(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 1)
(/.f64 (sqrt.f64 (+.f64 beta 1)) (/.f64 (*.f64 alpha 1/2) (sqrt.f64 (+.f64 beta 1))))
(/.f64 (cbrt.f64 (+.f64 beta 1)) (/.f64 (*.f64 alpha 1/2) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (/.f64 (*.f64 alpha 1/2) (cbrt.f64 (+.f64 beta 1))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(/.f64 (fma.f64 beta beta -1) (*.f64 (+.f64 beta -1) (*.f64 alpha 1/2)))
(/.f64 (fma.f64 beta beta -1) (/.f64 (*.f64 alpha 1/2) (/.f64 1 (+.f64 beta -1))))
(/.f64 (fma.f64 beta beta -1) (/.f64 (*.f64 (+.f64 beta -1) (*.f64 alpha 1/2)) 1))
(/.f64 (+.f64 1 (pow.f64 beta 3)) (*.f64 (*.f64 alpha 1/2) (fma.f64 beta beta (-.f64 1 beta))))
(/.f64 (+.f64 1 (pow.f64 beta 3)) (/.f64 (*.f64 alpha 1/2) (/.f64 1 (fma.f64 beta beta (-.f64 1 beta)))))
(/.f64 (+.f64 1 (pow.f64 beta 3)) (/.f64 (*.f64 (*.f64 alpha 1/2) (fma.f64 beta beta (-.f64 1 beta))) 1))
(/.f64 -2 (/.f64 (neg.f64 alpha) (+.f64 beta 1)))
(/.f64 -2 (/.f64 (+.f64 (*.f64 beta (neg.f64 alpha)) alpha) (fma.f64 beta beta -1)))
(/.f64 -2 (/.f64 (*.f64 (fma.f64 beta beta (-.f64 1 beta)) (neg.f64 alpha)) (+.f64 1 (pow.f64 beta 3))))
(/.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (/.f64 alpha (sqrt.f64 (+.f64 2 (*.f64 2 beta)))))
(/.f64 (sqrt.f64 (fma.f64 beta beta -1)) (/.f64 (*.f64 (+.f64 beta -1) (*.f64 alpha 1/2)) (sqrt.f64 (fma.f64 beta beta -1))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 beta 3))) (/.f64 (*.f64 (*.f64 alpha 1/2) (fma.f64 beta beta (-.f64 1 beta))) (sqrt.f64 (+.f64 1 (pow.f64 beta 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (cbrt.f64 (+.f64 2 (*.f64 2 beta)))) (/.f64 alpha (cbrt.f64 (+.f64 2 (*.f64 2 beta)))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 beta beta -1)) (cbrt.f64 (fma.f64 beta beta -1))) (/.f64 (*.f64 (+.f64 beta -1) (*.f64 alpha 1/2)) (cbrt.f64 (fma.f64 beta beta -1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 beta 3))) (cbrt.f64 (+.f64 1 (pow.f64 beta 3)))) (/.f64 (*.f64 (*.f64 alpha 1/2) (fma.f64 beta beta (-.f64 1 beta))) (cbrt.f64 (+.f64 1 (pow.f64 beta 3)))))
(/.f64 (*.f64 2 (sqrt.f64 (+.f64 beta 1))) (/.f64 alpha (sqrt.f64 (+.f64 beta 1))))
(/.f64 (*.f64 2 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 beta 1))))
(/.f64 (/.f64 (+.f64 beta 1) alpha) 1/2)
(/.f64 (*.f64 (+.f64 beta 1) (sqrt.f64 (/.f64 2 alpha))) (sqrt.f64 (*.f64 alpha 1/2)))
(/.f64 (*.f64 2 (fma.f64 beta beta -1)) (*.f64 alpha (+.f64 beta -1)))
(/.f64 (+.f64 2 (*.f64 (pow.f64 beta 3) 2)) (*.f64 alpha (fma.f64 beta beta (-.f64 1 beta))))
(/.f64 (*.f64 (/.f64 2 alpha) (fma.f64 beta beta -1)) (+.f64 beta -1))
(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 1 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 1 beta)))
(/.f64 (+.f64 -2 (*.f64 beta -2)) (neg.f64 alpha))
(/.f64 (/.f64 (+.f64 beta 1) (/.f64 (sqrt.f64 alpha) 2)) (sqrt.f64 alpha))
(/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 beta 1))) (cbrt.f64 alpha))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 4 alpha) alpha) (*.f64 beta beta)) (/.f64 (/.f64 4 alpha) alpha)) (*.f64 (/.f64 2 alpha) (+.f64 beta -1)))
(/.f64 (-.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) 1) (*.f64 (*.f64 (*.f64 alpha 1/2) (fma.f64 beta beta (-.f64 1 beta))) (-.f64 (pow.f64 beta 3) 1)))
(/.f64 (-.f64 1 (*.f64 beta beta)) (*.f64 (*.f64 alpha 1/2) (-.f64 1 beta)))
(/.f64 (-.f64 (*.f64 beta (pow.f64 beta 3)) 1) (*.f64 (*.f64 (+.f64 beta -1) (*.f64 alpha 1/2)) (+.f64 1 (*.f64 beta beta))))
(/.f64 (+.f64 (pow.f64 (/.f64 2 alpha) 3) (pow.f64 (/.f64 beta (*.f64 alpha 1/2)) 3)) (+.f64 (*.f64 (/.f64 (/.f64 4 alpha) alpha) (*.f64 beta beta)) (*.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 alpha) (/.f64 beta (*.f64 alpha 1/2))))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 beta 3) 3)) (*.f64 (*.f64 (*.f64 alpha 1/2) (fma.f64 beta beta (-.f64 1 beta))) (+.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (-.f64 1 (pow.f64 beta 3)))))
(/.f64 (-.f64 (pow.f64 (*.f64 beta beta) 3) 1) (*.f64 (*.f64 (+.f64 beta -1) (*.f64 alpha 1/2)) (+.f64 (*.f64 beta (pow.f64 beta 3)) (+.f64 1 (*.f64 beta beta)))))
(/.f64 (*.f64 (fma.f64 beta beta -1) -2) (+.f64 (*.f64 beta (neg.f64 alpha)) alpha))
(/.f64 (+.f64 -2 (*.f64 (pow.f64 beta 3) -2)) (*.f64 (fma.f64 beta beta (-.f64 1 beta)) (neg.f64 alpha)))
(/.f64 (neg.f64 (fma.f64 beta beta -1)) (*.f64 (*.f64 alpha 1/2) (-.f64 1 beta)))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 beta 3))) (*.f64 (*.f64 alpha 1/2) (neg.f64 (fma.f64 beta beta (-.f64 1 beta)))))
(/.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 alpha -1/2))
(/.f64 (*.f64 (/.f64 2 (sqrt.f64 alpha)) (+.f64 beta 1)) (sqrt.f64 alpha))
(/.f64 (*.f64 (/.f64 2 (pow.f64 (cbrt.f64 alpha) 2)) (+.f64 beta 1)) (cbrt.f64 alpha))
(/.f64 (*.f64 (-.f64 1 (*.f64 beta beta)) (/.f64 2 alpha)) (-.f64 1 beta))
(/.f64 (*.f64 (neg.f64 (fma.f64 beta beta -1)) (/.f64 2 alpha)) (-.f64 1 beta))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 (pow.f64 beta 3))) (/.f64 2 alpha)) (neg.f64 (fma.f64 beta beta (-.f64 1 beta))))
(/.f64 (*.f64 (*.f64 2 (fma.f64 beta beta -1)) 1) (*.f64 alpha (+.f64 beta -1)))
(/.f64 (*.f64 (+.f64 2 (*.f64 (pow.f64 beta 3) 2)) 1) (*.f64 alpha (fma.f64 beta beta (-.f64 1 beta))))
(/.f64 (*.f64 (*.f64 (/.f64 2 alpha) (fma.f64 beta beta -1)) 1) (+.f64 beta -1))
(/.f64 (*.f64 (*.f64 (/.f64 2 alpha) (+.f64 1 (pow.f64 beta 3))) 1) (fma.f64 beta beta (-.f64 1 beta)))
(/.f64 (*.f64 (+.f64 -2 (*.f64 beta -2)) 1) (neg.f64 alpha))
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (/.f64 (sqrt.f64 alpha) 2)) 1) (sqrt.f64 alpha))
(/.f64 (*.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 beta 1))) 1) (cbrt.f64 alpha))
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 4 alpha) alpha) (*.f64 beta beta)) (/.f64 (/.f64 4 alpha) alpha)) 1) (*.f64 (/.f64 2 alpha) (+.f64 beta -1)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 2 alpha) 3) (pow.f64 (/.f64 beta (*.f64 alpha 1/2)) 3)) 1) (+.f64 (*.f64 (/.f64 (/.f64 4 alpha) alpha) (*.f64 beta beta)) (*.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 alpha) (/.f64 beta (*.f64 alpha 1/2))))))
(/.f64 (*.f64 (*.f64 (fma.f64 beta beta -1) -2) 1) (+.f64 (*.f64 beta (neg.f64 alpha)) alpha))
(/.f64 (*.f64 (+.f64 -2 (*.f64 (pow.f64 beta 3) -2)) 1) (*.f64 (fma.f64 beta beta (-.f64 1 beta)) (neg.f64 alpha)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 beta beta -1)) (*.f64 (/.f64 2 alpha) (sqrt.f64 (+.f64 beta 1)))) (sqrt.f64 (+.f64 beta -1)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 beta 3))) (*.f64 (/.f64 2 alpha) (sqrt.f64 (+.f64 beta 1)))) (sqrt.f64 (fma.f64 beta beta (-.f64 1 beta))))
(/.f64 (*.f64 1 (*.f64 (+.f64 beta 1) (sqrt.f64 (/.f64 2 alpha)))) (sqrt.f64 (*.f64 alpha 1/2)))
(/.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 beta 1) (sqrt.f64 (/.f64 2 alpha)))) (sqrt.f64 alpha))
(/.f64 (*.f64 (sqrt.f64 -2) (*.f64 (+.f64 beta 1) (sqrt.f64 (/.f64 2 alpha)))) (sqrt.f64 (neg.f64 alpha)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (sqrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)))) (sqrt.f64 alpha))
(/.f64 (*.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))) 2)) (cbrt.f64 alpha))
(/.f64 (*.f64 (*.f64 2 (fma.f64 beta beta -1)) (/.f64 1 alpha)) (+.f64 beta -1))
(/.f64 (*.f64 (+.f64 2 (*.f64 (pow.f64 beta 3) 2)) (/.f64 1 alpha)) (fma.f64 beta beta (-.f64 1 beta)))
(/.f64 (*.f64 2 (/.f64 (+.f64 beta 1) (sqrt.f64 alpha))) (sqrt.f64 alpha))
(/.f64 (*.f64 2 (/.f64 (+.f64 beta 1) (cbrt.f64 alpha))) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (/.f64 (+.f64 beta 1) 1) (*.f64 alpha 1/2))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (cbrt.f64 (*.f64 alpha 1/2)) (cbrt.f64 (*.f64 alpha 1/2)))) (cbrt.f64 (*.f64 alpha 1/2)))
(/.f64 (/.f64 (*.f64 (/.f64 2 alpha) (fma.f64 beta beta -1)) 1) (+.f64 beta -1))
(/.f64 (/.f64 (*.f64 (/.f64 2 alpha) (fma.f64 beta beta -1)) (sqrt.f64 (+.f64 beta -1))) (sqrt.f64 (+.f64 beta -1)))
(/.f64 (/.f64 (*.f64 (/.f64 2 alpha) (fma.f64 beta beta -1)) (*.f64 (cbrt.f64 (+.f64 beta -1)) (cbrt.f64 (+.f64 beta -1)))) (cbrt.f64 (+.f64 beta -1)))
(/.f64 (/.f64 (*.f64 (/.f64 2 alpha) (fma.f64 beta beta -1)) (+.f64 1 (sqrt.f64 beta))) (-.f64 (sqrt.f64 beta) 1))
(/.f64 (/.f64 (*.f64 (/.f64 2 alpha) (+.f64 1 (pow.f64 beta 3))) 1) (fma.f64 beta beta (-.f64 1 beta)))
(/.f64 (/.f64 (*.f64 (/.f64 2 alpha) (+.f64 1 (pow.f64 beta 3))) (sqrt.f64 (fma.f64 beta beta (-.f64 1 beta)))) (sqrt.f64 (fma.f64 beta beta (-.f64 1 beta))))
(/.f64 (/.f64 (*.f64 (/.f64 2 alpha) (+.f64 1 (pow.f64 beta 3))) (*.f64 (cbrt.f64 (fma.f64 beta beta (-.f64 1 beta))) (cbrt.f64 (fma.f64 beta beta (-.f64 1 beta))))) (cbrt.f64 (fma.f64 beta beta (-.f64 1 beta))))
(/.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) 1) (neg.f64 alpha))
(/.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) (sqrt.f64 alpha)) (neg.f64 (sqrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) (pow.f64 (cbrt.f64 alpha) 2)) (neg.f64 (cbrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) (sqrt.f64 (neg.f64 alpha))) (sqrt.f64 (neg.f64 alpha)))
(/.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) (*.f64 (cbrt.f64 (neg.f64 alpha)) (cbrt.f64 (neg.f64 alpha)))) (cbrt.f64 (neg.f64 alpha)))
(/.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) -1) alpha)
(/.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) (neg.f64 (sqrt.f64 alpha))) (sqrt.f64 alpha))
(/.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) (neg.f64 (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (sqrt.f64 alpha) 2)) 1) (sqrt.f64 alpha))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (sqrt.f64 alpha) 2)) (cbrt.f64 alpha)) (cbrt.f64 (sqrt.f64 alpha)))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (sqrt.f64 alpha) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2))) (sqrt.f64 (cbrt.f64 alpha)))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (sqrt.f64 alpha) 2)) (sqrt.f64 (sqrt.f64 alpha))) (sqrt.f64 (sqrt.f64 alpha)))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 beta 1))) 1) (cbrt.f64 alpha))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 beta 1))) (sqrt.f64 (cbrt.f64 alpha))) (sqrt.f64 (cbrt.f64 alpha)))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 beta 1))) (*.f64 (cbrt.f64 (cbrt.f64 alpha)) (cbrt.f64 (cbrt.f64 alpha)))) (cbrt.f64 (cbrt.f64 alpha)))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 beta 1))) (cbrt.f64 (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 (cbrt.f64 alpha)))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 beta 1))) (cbrt.f64 (sqrt.f64 alpha))) (cbrt.f64 (sqrt.f64 alpha)))
(pow.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 3) 1/3)
(neg.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) (neg.f64 alpha)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 2 alpha)) (+.f64 beta 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (/.f64 2 alpha) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))))
(exp.f64 (+.f64 (log1p.f64 beta) (log.f64 (/.f64 2 alpha))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))))
(fma.f64 (/.f64 2 alpha) beta (/.f64 2 alpha))
(fma.f64 beta (/.f64 2 alpha) (/.f64 2 alpha))
Outputs
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 2 alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 2 (/.f64 beta alpha))
(/.f64 (*.f64 2 beta) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(*.f64 2 (/.f64 beta alpha))
(/.f64 (*.f64 2 beta) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (/.f64 2 alpha) (/.f64 beta (*.f64 alpha 1/2)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(+.f64 (/.f64 beta (*.f64 alpha 1/2)) (/.f64 2 alpha))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)))) 1)
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 alpha))) (-.f64 1 (/.f64 beta (*.f64 alpha 1/2))))
(+.f64 (/.f64 (*.f64 2 beta) alpha) (expm1.f64 (log1p.f64 (/.f64 2 alpha))))
(-.f64 (+.f64 (/.f64 beta (*.f64 alpha 1/2)) (exp.f64 (log1p.f64 (/.f64 2 alpha)))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 alpha))) (-.f64 1 (/.f64 beta (*.f64 alpha 1/2))))
(+.f64 (/.f64 (*.f64 2 beta) alpha) (expm1.f64 (log1p.f64 (/.f64 2 alpha))))
(/.f64 2 (/.f64 alpha (+.f64 beta 1)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 2 (/.f64 (*.f64 alpha (+.f64 beta -1)) (fma.f64 beta beta -1)))
(*.f64 (/.f64 2 (*.f64 alpha (+.f64 beta -1))) (fma.f64 beta beta -1))
(/.f64 (/.f64 2 alpha) (/.f64 (+.f64 beta -1) (fma.f64 beta beta -1)))
(/.f64 2 (/.f64 (*.f64 alpha (fma.f64 beta beta (-.f64 1 beta))) (+.f64 1 (pow.f64 beta 3))))
(*.f64 (/.f64 2 (*.f64 alpha (fma.f64 beta beta (-.f64 1 beta)))) (+.f64 1 (pow.f64 beta 3)))
(/.f64 (fma.f64 2 (pow.f64 beta 3) 2) (*.f64 alpha (-.f64 (fma.f64 beta beta 1) beta)))
(/.f64 (/.f64 2 alpha) (/.f64 1 (+.f64 beta 1)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 1 (/.f64 alpha (+.f64 2 (*.f64 2 beta))))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 1 (/.f64 (*.f64 (+.f64 beta -1) (*.f64 alpha 1/2)) (fma.f64 beta beta -1)))
(*.f64 (/.f64 2 (*.f64 alpha (+.f64 beta -1))) (fma.f64 beta beta -1))
(/.f64 (/.f64 2 alpha) (/.f64 (+.f64 beta -1) (fma.f64 beta beta -1)))
(/.f64 1 (/.f64 (*.f64 (*.f64 alpha 1/2) (fma.f64 beta beta (-.f64 1 beta))) (+.f64 1 (pow.f64 beta 3))))
(*.f64 (/.f64 2 (*.f64 alpha (fma.f64 beta beta (-.f64 1 beta)))) (+.f64 1 (pow.f64 beta 3)))
(/.f64 (fma.f64 2 (pow.f64 beta 3) 2) (*.f64 alpha (-.f64 (fma.f64 beta beta 1) beta)))
(/.f64 1 (*.f64 (*.f64 alpha 1/2) (/.f64 1 (+.f64 beta 1))))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 beta 1) (*.f64 alpha 1/2))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (+.f64 beta 1) (/.f64 (*.f64 (+.f64 beta -1) (*.f64 alpha 1/2)) (+.f64 beta -1)))
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (*.f64 alpha 1/2) (+.f64 beta -1))) (+.f64 beta -1))
(*.f64 (+.f64 beta -1) (/.f64 (/.f64 (fma.f64 2 beta 2) alpha) (+.f64 beta -1)))
(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 1)
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (sqrt.f64 (+.f64 beta 1)) (/.f64 (*.f64 alpha 1/2) (sqrt.f64 (+.f64 beta 1))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (*.f64 alpha 1/2)) (sqrt.f64 (+.f64 beta 1)))
(*.f64 (/.f64 2 alpha) (*.f64 (sqrt.f64 (+.f64 beta 1)) (sqrt.f64 (+.f64 beta 1))))
(/.f64 (cbrt.f64 (+.f64 beta 1)) (/.f64 (*.f64 alpha 1/2) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 beta 1)) (*.f64 alpha 1/2)) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2))
(*.f64 (cbrt.f64 (+.f64 beta 1)) (/.f64 2 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (/.f64 (*.f64 alpha 1/2) (cbrt.f64 (+.f64 beta 1))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 beta 1)) (*.f64 alpha 1/2)) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2))
(*.f64 (cbrt.f64 (+.f64 beta 1)) (/.f64 2 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (fma.f64 beta beta -1) (*.f64 (+.f64 beta -1) (*.f64 alpha 1/2)))
(*.f64 (/.f64 2 (*.f64 alpha (+.f64 beta -1))) (fma.f64 beta beta -1))
(/.f64 (/.f64 2 alpha) (/.f64 (+.f64 beta -1) (fma.f64 beta beta -1)))
(/.f64 (fma.f64 beta beta -1) (/.f64 (*.f64 alpha 1/2) (/.f64 1 (+.f64 beta -1))))
(*.f64 (/.f64 2 (*.f64 alpha (+.f64 beta -1))) (fma.f64 beta beta -1))
(/.f64 (/.f64 2 alpha) (/.f64 (+.f64 beta -1) (fma.f64 beta beta -1)))
(/.f64 (fma.f64 beta beta -1) (/.f64 (*.f64 (+.f64 beta -1) (*.f64 alpha 1/2)) 1))
(*.f64 (/.f64 2 (*.f64 alpha (+.f64 beta -1))) (fma.f64 beta beta -1))
(/.f64 (/.f64 2 alpha) (/.f64 (+.f64 beta -1) (fma.f64 beta beta -1)))
(/.f64 (+.f64 1 (pow.f64 beta 3)) (*.f64 (*.f64 alpha 1/2) (fma.f64 beta beta (-.f64 1 beta))))
(*.f64 (/.f64 2 (*.f64 alpha (fma.f64 beta beta (-.f64 1 beta)))) (+.f64 1 (pow.f64 beta 3)))
(/.f64 (fma.f64 2 (pow.f64 beta 3) 2) (*.f64 alpha (-.f64 (fma.f64 beta beta 1) beta)))
(/.f64 (+.f64 1 (pow.f64 beta 3)) (/.f64 (*.f64 alpha 1/2) (/.f64 1 (fma.f64 beta beta (-.f64 1 beta)))))
(*.f64 (/.f64 2 (*.f64 alpha (fma.f64 beta beta (-.f64 1 beta)))) (+.f64 1 (pow.f64 beta 3)))
(/.f64 (fma.f64 2 (pow.f64 beta 3) 2) (*.f64 alpha (-.f64 (fma.f64 beta beta 1) beta)))
(/.f64 (+.f64 1 (pow.f64 beta 3)) (/.f64 (*.f64 (*.f64 alpha 1/2) (fma.f64 beta beta (-.f64 1 beta))) 1))
(*.f64 (/.f64 2 (*.f64 alpha (fma.f64 beta beta (-.f64 1 beta)))) (+.f64 1 (pow.f64 beta 3)))
(/.f64 (fma.f64 2 (pow.f64 beta 3) 2) (*.f64 alpha (-.f64 (fma.f64 beta beta 1) beta)))
(/.f64 -2 (/.f64 (neg.f64 alpha) (+.f64 beta 1)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 -2 (/.f64 (+.f64 (*.f64 beta (neg.f64 alpha)) alpha) (fma.f64 beta beta -1)))
(*.f64 (/.f64 -2 (fma.f64 beta (neg.f64 alpha) alpha)) (fma.f64 beta beta -1))
(*.f64 (fma.f64 beta beta -1) (/.f64 -2 (-.f64 alpha (*.f64 beta alpha))))
(/.f64 -2 (/.f64 (*.f64 (fma.f64 beta beta (-.f64 1 beta)) (neg.f64 alpha)) (+.f64 1 (pow.f64 beta 3))))
(*.f64 (/.f64 2 (*.f64 alpha (fma.f64 beta beta (-.f64 1 beta)))) (+.f64 1 (pow.f64 beta 3)))
(/.f64 (fma.f64 2 (pow.f64 beta 3) 2) (*.f64 alpha (-.f64 (fma.f64 beta beta 1) beta)))
(/.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) (/.f64 alpha (sqrt.f64 (+.f64 2 (*.f64 2 beta)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (*.f64 2 beta))) alpha) (sqrt.f64 (+.f64 2 (*.f64 2 beta))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 (fma.f64 2 beta 2))) alpha)
(/.f64 (sqrt.f64 (fma.f64 beta beta -1)) (/.f64 (*.f64 (+.f64 beta -1) (*.f64 alpha 1/2)) (sqrt.f64 (fma.f64 beta beta -1))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 beta beta -1)) (*.f64 (*.f64 alpha 1/2) (+.f64 beta -1))) (sqrt.f64 (fma.f64 beta beta -1)))
(*.f64 (sqrt.f64 (fma.f64 beta beta -1)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 beta beta -1)) (+.f64 beta -1)) (/.f64 2 alpha)))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 beta 3))) (/.f64 (*.f64 (*.f64 alpha 1/2) (fma.f64 beta beta (-.f64 1 beta))) (sqrt.f64 (+.f64 1 (pow.f64 beta 3)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 beta 3))) (*.f64 (*.f64 alpha 1/2) (fma.f64 beta beta (-.f64 1 beta)))) (sqrt.f64 (+.f64 1 (pow.f64 beta 3))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 beta 3/2)) (*.f64 alpha 1/2)) (/.f64 (hypot.f64 1 (pow.f64 beta 3/2)) (-.f64 (fma.f64 beta beta 1) beta)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 2 (*.f64 2 beta))) (cbrt.f64 (+.f64 2 (*.f64 2 beta)))) (/.f64 alpha (cbrt.f64 (+.f64 2 (*.f64 2 beta)))))
(*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 alpha (cbrt.f64 (fma.f64 2 beta 2)))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 beta beta -1)) (cbrt.f64 (fma.f64 beta beta -1))) (/.f64 (*.f64 (+.f64 beta -1) (*.f64 alpha 1/2)) (cbrt.f64 (fma.f64 beta beta -1))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 beta beta -1)) (cbrt.f64 (fma.f64 beta beta -1))) (/.f64 (*.f64 (*.f64 alpha 1/2) (+.f64 beta -1)) (cbrt.f64 (fma.f64 beta beta -1))))
(*.f64 (cbrt.f64 (fma.f64 beta beta -1)) (/.f64 (cbrt.f64 (fma.f64 beta beta -1)) (*.f64 (/.f64 (+.f64 beta -1) (cbrt.f64 (fma.f64 beta beta -1))) (*.f64 alpha 1/2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 beta 3))) (cbrt.f64 (+.f64 1 (pow.f64 beta 3)))) (/.f64 (*.f64 (*.f64 alpha 1/2) (fma.f64 beta beta (-.f64 1 beta))) (cbrt.f64 (+.f64 1 (pow.f64 beta 3)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 beta 3))) (cbrt.f64 (+.f64 1 (pow.f64 beta 3)))) (*.f64 (*.f64 alpha 1/2) (fma.f64 beta beta (-.f64 1 beta)))) (cbrt.f64 (+.f64 1 (pow.f64 beta 3))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 beta 3))) (cbrt.f64 (+.f64 1 (pow.f64 beta 3)))) (/.f64 (*.f64 alpha 1/2) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 beta 3))) (-.f64 (fma.f64 beta beta 1) beta))))
(/.f64 (*.f64 2 (sqrt.f64 (+.f64 beta 1))) (/.f64 alpha (sqrt.f64 (+.f64 beta 1))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (*.f64 alpha 1/2)) (sqrt.f64 (+.f64 beta 1)))
(*.f64 (/.f64 2 alpha) (*.f64 (sqrt.f64 (+.f64 beta 1)) (sqrt.f64 (+.f64 beta 1))))
(/.f64 (*.f64 2 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (/.f64 alpha (cbrt.f64 (+.f64 beta 1))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 beta 1)) (*.f64 alpha 1/2)) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2))
(*.f64 (cbrt.f64 (+.f64 beta 1)) (/.f64 2 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2))))
(/.f64 (/.f64 (+.f64 beta 1) alpha) 1/2)
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (*.f64 (+.f64 beta 1) (sqrt.f64 (/.f64 2 alpha))) (sqrt.f64 (*.f64 alpha 1/2)))
(/.f64 (+.f64 beta 1) (/.f64 (sqrt.f64 (*.f64 alpha 1/2)) (sqrt.f64 (/.f64 2 alpha))))
(*.f64 (/.f64 (+.f64 beta 1) (sqrt.f64 (*.f64 alpha 1/2))) (sqrt.f64 (/.f64 2 alpha)))
(/.f64 (*.f64 2 (fma.f64 beta beta -1)) (*.f64 alpha (+.f64 beta -1)))
(*.f64 (/.f64 2 (*.f64 alpha (+.f64 beta -1))) (fma.f64 beta beta -1))
(/.f64 (/.f64 2 alpha) (/.f64 (+.f64 beta -1) (fma.f64 beta beta -1)))
(/.f64 (+.f64 2 (*.f64 (pow.f64 beta 3) 2)) (*.f64 alpha (fma.f64 beta beta (-.f64 1 beta))))
(*.f64 (/.f64 2 (*.f64 alpha (fma.f64 beta beta (-.f64 1 beta)))) (+.f64 1 (pow.f64 beta 3)))
(/.f64 (fma.f64 2 (pow.f64 beta 3) 2) (*.f64 alpha (-.f64 (fma.f64 beta beta 1) beta)))
(/.f64 (*.f64 (/.f64 2 alpha) (fma.f64 beta beta -1)) (+.f64 beta -1))
(*.f64 (/.f64 2 (*.f64 alpha (+.f64 beta -1))) (fma.f64 beta beta -1))
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(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
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(/.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) (neg.f64 (sqrt.f64 alpha))) (sqrt.f64 alpha))
(/.f64 (+.f64 -2 (*.f64 beta -2)) (*.f64 (neg.f64 (sqrt.f64 alpha)) (sqrt.f64 alpha)))
(/.f64 (fma.f64 beta -2 -2) (*.f64 (sqrt.f64 alpha) (neg.f64 (sqrt.f64 alpha))))
(/.f64 (/.f64 (+.f64 -2 (*.f64 beta -2)) (neg.f64 (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (sqrt.f64 alpha) 2)) 1) (sqrt.f64 alpha))
(/.f64 (/.f64 2 (sqrt.f64 alpha)) (/.f64 (sqrt.f64 alpha) (+.f64 beta 1)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (sqrt.f64 alpha) 2)) (cbrt.f64 alpha)) (cbrt.f64 (sqrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (cbrt.f64 alpha) (/.f64 (sqrt.f64 alpha) 2))) (cbrt.f64 (sqrt.f64 alpha)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)) (*.f64 (cbrt.f64 alpha) (cbrt.f64 (sqrt.f64 alpha))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (sqrt.f64 alpha) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2))) (sqrt.f64 (cbrt.f64 alpha)))
(/.f64 (*.f64 2 (/.f64 (+.f64 beta 1) (sqrt.f64 alpha))) (*.f64 (sqrt.f64 (cbrt.f64 alpha)) (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2))))
(/.f64 (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)) (*.f64 (fabs.f64 (cbrt.f64 alpha)) (sqrt.f64 (cbrt.f64 alpha))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (sqrt.f64 alpha) 2)) (sqrt.f64 (sqrt.f64 alpha))) (sqrt.f64 (sqrt.f64 alpha)))
(/.f64 (/.f64 2 (sqrt.f64 alpha)) (/.f64 (sqrt.f64 alpha) (+.f64 beta 1)))
(/.f64 (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 beta 1))) 1) (cbrt.f64 alpha))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 beta 1))) (sqrt.f64 (cbrt.f64 alpha))) (sqrt.f64 (cbrt.f64 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 beta 1))) (*.f64 (cbrt.f64 (cbrt.f64 alpha)) (cbrt.f64 (cbrt.f64 alpha)))) (cbrt.f64 (cbrt.f64 alpha)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 beta 1))) (cbrt.f64 (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 (cbrt.f64 alpha)))
(/.f64 (*.f64 (+.f64 beta 1) (/.f64 2 (pow.f64 (cbrt.f64 alpha) 2))) (*.f64 (cbrt.f64 (cbrt.f64 alpha)) (cbrt.f64 (pow.f64 (cbrt.f64 alpha) 2))))
(/.f64 (/.f64 (/.f64 (fma.f64 2 beta 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (cbrt.f64 alpha))) (cbrt.f64 (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 beta 1))) (cbrt.f64 (sqrt.f64 alpha))) (cbrt.f64 (sqrt.f64 alpha)))
(/.f64 (*.f64 (+.f64 beta 1) (/.f64 2 (pow.f64 (cbrt.f64 alpha) 2))) (*.f64 (cbrt.f64 (sqrt.f64 alpha)) (cbrt.f64 (sqrt.f64 alpha))))
(/.f64 (/.f64 (fma.f64 2 beta 2) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 (cbrt.f64 (sqrt.f64 alpha)) (cbrt.f64 (sqrt.f64 alpha))))
(pow.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 1)
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))) 2)
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))) 3)
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(pow.f64 (pow.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 3) 1/3)
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(neg.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) (neg.f64 alpha)))
(/.f64 (neg.f64 (+.f64 2 (*.f64 2 beta))) (neg.f64 alpha))
(/.f64 (neg.f64 (fma.f64 2 beta 2)) (neg.f64 alpha))
(/.f64 (-.f64 -2 (*.f64 2 beta)) (neg.f64 alpha))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2))
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 (+.f64 beta 1) alpha)) 2))
(fabs.f64 (/.f64 (fma.f64 2 beta 2) alpha))
(log.f64 (pow.f64 (exp.f64 (/.f64 2 alpha)) (+.f64 beta 1)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)))))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(cbrt.f64 (pow.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 3))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (/.f64 2 alpha) 3)))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(expm1.f64 (log1p.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(exp.f64 (+.f64 (log1p.f64 beta) (log.f64 (/.f64 2 alpha))))
(*.f64 (/.f64 2 alpha) (exp.f64 (log1p.f64 beta)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1))))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(fma.f64 (/.f64 2 alpha) beta (/.f64 2 alpha))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)
(fma.f64 beta (/.f64 2 alpha) (/.f64 2 alpha))
(*.f64 2 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 2 beta 2) alpha)

localize24.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
0.0b
(/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))
1.3b
(+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1)
Compiler

Compiled 65 to 38 computations (41.5% saved)

series10.0ms (0%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
6.0ms
alpha
@-inf
(/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))
1.0ms
beta
@0
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
0.0ms
alpha
@0
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
0.0ms
beta
@inf
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
0.0ms
alpha
@-inf
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))

rewrite128.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1258×associate-/l*
1136×associate-/r/
622×associate-/l/
312×+-commutative
304×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01293
128781
2422681
Stop Event
node limit
Counts
3 → 204
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1)
(/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))
(/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) -1) (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) -1)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -3))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -2) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))))))

simplify178.0ms (0.6%)

Algorithm
egg-herbie
Rules
1016×*-commutative
962×distribute-lft-in
900×+-commutative
836×associate-*r*
770×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
085117940
1281017354
Stop Event
node limit
Counts
276 → 529
Calls
Call 1
Inputs
(-.f64 1 (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) 1) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
2
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
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(*.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 2))
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(*.f64 (/.f64 1 (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2)))
(*.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 1 (neg.f64 (-.f64 beta alpha))))
(*.f64 -1 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 beta alpha)))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 beta alpha))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (-.f64 beta alpha))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (cbrt.f64 (-.f64 beta alpha))))
(*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta alpha)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (+.f64 beta alpha))
(*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))
(*.f64 (/.f64 1 (neg.f64 (-.f64 beta alpha))) (-.f64 -2 (+.f64 beta alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) 1) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (cbrt.f64 (-.f64 beta alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (sqrt.f64 (-.f64 beta alpha))) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (-.f64 beta alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 beta alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (neg.f64 (+.f64 beta alpha)))
(*.f64 (/.f64 (+.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 beta alpha)))))
(*.f64 (/.f64 1 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (+.f64 beta alpha))
(*.f64 (/.f64 1 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 2))) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(*.f64 (/.f64 1 (/.f64 (-.f64 beta alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (*.f64 beta beta) (*.f64 (neg.f64 alpha) (neg.f64 alpha)))) (-.f64 beta (neg.f64 alpha)))
(*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (pow.f64 beta 3) (pow.f64 (neg.f64 alpha) 3))) (-.f64 (+.f64 (*.f64 beta beta) (*.f64 (neg.f64 alpha) (neg.f64 alpha))) (*.f64 beta (neg.f64 alpha))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 beta alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 2) 1) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 2) -1) (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 beta alpha))))
(*.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (+.f64 beta alpha))
(*.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (-.f64 beta alpha))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (-.f64 beta alpha))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (+.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (*.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (-.f64 beta alpha))) (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (-.f64 beta alpha))) (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))) 3))) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (-.f64 (*.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (*.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))))
(*.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (-.f64 beta alpha))) (sqrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (sqrt.f64 (+.f64 beta alpha)))
(*.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (-.f64 beta alpha))) (sqrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (sqrt.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(*.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (cbrt.f64 (+.f64 beta alpha)))
(*.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (cbrt.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 1)
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 3) 1/3)
(neg.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (-.f64 beta alpha))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (pow.f64 (-.f64 beta alpha) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(exp.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
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) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (+.f64 2 alpha)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))) (/.f64 alpha (+.f64 2 alpha)))
(-.f64 (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3)))))) (/.f64 alpha (+.f64 alpha 2)))
(+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (/.f64 1 (+.f64 alpha 2))) 1) (-.f64 (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 4)) (/.f64 1 (pow.f64 (+.f64 alpha 2) 3))))) (/.f64 alpha (+.f64 alpha 2))))
2
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2)
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (-.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) (+.f64 2 (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) alpha) (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) alpha) (pow.f64 beta 3)))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) alpha))))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 alpha 2)) beta) 2) (-.f64 (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) alpha)) (/.f64 (*.f64 (neg.f64 alpha) (pow.f64 (+.f64 alpha 2) 2)) (pow.f64 beta 3))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))))
2
(-.f64 (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2) (+.f64 (*.f64 2 (/.f64 1 beta)) (/.f64 alpha beta)))
(-.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) 2)) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (fma.f64 -1 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha beta) 2)) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha)) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 alpha beta)) (+.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) (+.f64 2 alpha))) (pow.f64 beta 3))))) (+.f64 (/.f64 alpha beta) (*.f64 2 (/.f64 1 beta))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) (/.f64 (*.f64 beta beta) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))) (+.f64 (fma.f64 -1 (/.f64 alpha beta) 2) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2)))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(-.f64 (+.f64 (fma.f64 -1 (*.f64 (/.f64 (+.f64 alpha 2) (*.f64 beta beta)) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))) (fma.f64 -1 (/.f64 alpha beta) 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (/.f64 (pow.f64 beta 3) (-.f64 (neg.f64 alpha) (+.f64 alpha 2))))) (+.f64 (/.f64 alpha beta) (/.f64 2 beta)))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 1 (/.f64 beta (+.f64 2 beta)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (/.f64 beta (+.f64 2 beta))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))))
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 3)) (/.f64 beta (pow.f64 (+.f64 2 beta) 4)))) (+.f64 1 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 1 (+.f64 2 beta)) (/.f64 beta (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 beta) 2)) (/.f64 (neg.f64 beta) (pow.f64 (+.f64 2 beta) 3))) (*.f64 alpha alpha) (/.f64 beta (+.f64 2 beta))))))
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
(-.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)))
(-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))))
(-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha))))) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (-.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 2 beta))) (neg.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 2 beta) 2)) (pow.f64 alpha 3))))))
(+.f64 (fma.f64 2 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (/.f64 2 alpha))) (-.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta)) (/.f64 (neg.f64 beta) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 2))))))
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))))) (+.f64 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))
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(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (*.f64 (-.f64 (*.f64 beta (pow.f64 beta 3)) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha (-.f64 2 beta)) (+.f64 alpha (-.f64 2 beta))))) (-.f64 beta alpha))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 1 (-.f64 beta alpha))) (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))) 3))) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (-.f64 (*.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (*.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (-.f64 beta alpha)) (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))) 3))) (+.f64 (*.f64 beta (pow.f64 beta 3)) (*.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))) (-.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))) (*.f64 beta beta)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)) (*.f64 (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))) 3)) (-.f64 beta alpha))) (+.f64 (*.f64 beta (pow.f64 beta 3)) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha (-.f64 2 beta)) (-.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))) (*.f64 beta beta))))))
(*.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (-.f64 beta alpha))) (sqrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (sqrt.f64 (+.f64 beta alpha)))
(/.f64 (*.f64 (/.f64 (+.f64 (+.f64 alpha 2) beta) (sqrt.f64 (-.f64 beta alpha))) (sqrt.f64 (+.f64 alpha beta))) (sqrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (sqrt.f64 (-.f64 beta alpha))) (sqrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (sqrt.f64 (+.f64 alpha beta)))
(*.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (-.f64 beta alpha))) (sqrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (sqrt.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(*.f64 (/.f64 (+.f64 (+.f64 alpha 2) beta) (*.f64 (sqrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))) (sqrt.f64 (-.f64 beta alpha)))) (sqrt.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta)))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (sqrt.f64 (-.f64 beta alpha)) (sqrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3))))) (sqrt.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta)))))
(*.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (cbrt.f64 (+.f64 beta alpha)))
(*.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha 2) beta) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (cbrt.f64 (+.f64 alpha beta)))
(*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (*.f64 (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2) (cbrt.f64 (-.f64 (*.f64 beta beta) (*.f64 alpha alpha))))) (cbrt.f64 (+.f64 alpha beta)))
(*.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (cbrt.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))
(*.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha 2) beta) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (cbrt.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (pow.f64 (cbrt.f64 (-.f64 beta alpha)) 2)) (cbrt.f64 (-.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (cbrt.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 alpha beta)))))
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 1)
(/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) -1)
(/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 2)
(/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 3)
(/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(pow.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 3) 1/3)
(/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(neg.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (-.f64 beta alpha))))
(neg.f64 (/.f64 (+.f64 (+.f64 alpha 2) beta) (neg.f64 (-.f64 beta alpha))))
(/.f64 (-.f64 -2 (+.f64 alpha beta)) (neg.f64 (-.f64 beta alpha)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))))
(/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)) 3))
(/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (pow.f64 (-.f64 beta alpha) 3)))
(/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(exp.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1))
(/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))))
(/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))

localize94.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2)))))))
0.0b
(pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) 3)
0.1b
(*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))))
1.3b
(+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) 3))
Compiler

Compiled 268 to 162 computations (39.6% saved)

series38.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
9.0ms
beta
@0
(fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2)))))))
5.0ms
beta
@inf
(*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))))
4.0ms
beta
@0
(*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))))
3.0ms
alpha
@inf
(fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2)))))))
3.0ms
alpha
@-inf
(fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2)))))))

rewrite129.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
504×add-sqr-sqrt
490×*-un-lft-identity
488×pow1
470×add-cbrt-cube
470×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021222
1496196
27507196
Stop Event
node limit
Counts
4 → 143
Calls
Call 1
Inputs
(+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) 3))
(*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) 3)
(fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2)))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3))) (/.f64 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 6) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3/2)) (hypot.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 6)) (/.f64 1 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 9)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 6))) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 6)) (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 9)) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 6))) (+.f64 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 9))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 6) 1) (-.f64 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 9)) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 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simplify240.0ms (0.8%)

Algorithm
egg-herbie
Rules
1792×associate-+r+
1530×associate-*r*
1458×associate-+l+
1146×associate-*l*
656×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0105530243
1370328879
Stop Event
node limit
Counts
239 → 427
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)))))
(+.f64 1 (+.f64 (*.f64 -6 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))))))
(/.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 2)) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 (+.f64 beta 2) alpha)))))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 (+.f64 beta 2) alpha)) (*.f64 2 (/.f64 1 alpha)))))))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 4 (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 (+.f64 beta 2) alpha)) (*.f64 2 (/.f64 1 alpha))))))))))))))))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 4 (*.f64 2 beta)))) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 4 (*.f64 2 beta)))) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -4 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)))))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 4 (*.f64 2 beta)))) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 4 (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -4 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)))))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 4 (*.f64 2 beta)))) alpha)))))))))))
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 beta (+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4))))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4)))) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))) alpha) (+.f64 2 alpha))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 5))) (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 5)))))))))
(+.f64 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 4 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 6))) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))) alpha) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 6)) (*.f64 2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 6))))))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 4)))) (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 2 alpha) 4)))) alpha) (+.f64 2 alpha))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 5))) (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 alpha) 5))))))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3))))
(+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3))) (*.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3)) (pow.f64 beta 5))) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) alpha) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3)) (pow.f64 beta 5))) (*.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4)))))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3))))
(+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3))) (*.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3)) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 2))) alpha) (*.f64 2 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 alpha 3))))) (pow.f64 beta 5))) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 beta 3))) (*.f64 2 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 alpha 3)) (pow.f64 beta 4)))))))
(/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 2))
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2
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(exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 1)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 1)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 1)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
Outputs
1
(+.f64 1 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 1 (neg.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)))))
(+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (*.f64 3 (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 2) 4))))
(+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (*.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4)))))
(+.f64 1 (+.f64 (*.f64 -6 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))))))
(+.f64 1 (fma.f64 -6 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5)) (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (*.f64 3 (pow.f64 alpha 4)) (pow.f64 (+.f64 beta 2) 4)))))
(+.f64 1 (fma.f64 -6 (/.f64 (pow.f64 alpha 5) (pow.f64 (+.f64 beta 2) 5)) (fma.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (*.f64 3 (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 4))))))
(/.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 2)) alpha)
(/.f64 (+.f64 beta (fma.f64 2 (+.f64 beta 2) 2)) alpha)
(/.f64 (+.f64 beta (+.f64 (*.f64 beta 2) 6)) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 2 (/.f64 (+.f64 beta 2) alpha)))))))
(fma.f64 -1 (/.f64 (*.f64 3 (pow.f64 (+.f64 beta 2) 2)) (*.f64 alpha alpha)) (fma.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (fma.f64 2 (/.f64 (+.f64 beta 2) alpha) (/.f64 2 alpha))))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) -3) (*.f64 alpha alpha)) (fma.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (fma.f64 2 (/.f64 (+.f64 beta 2) alpha) (/.f64 2 alpha))))))
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(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (*.f64 3 (pow.f64 (+.f64 beta 2) 2)) (*.f64 alpha alpha)) (fma.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 (/.f64 beta alpha) (fma.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 (*.f64 3 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 2 (/.f64 (+.f64 beta 2) alpha) (/.f64 2 alpha))))))))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) -3) (*.f64 alpha alpha)) (+.f64 (fma.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 (/.f64 beta alpha) (fma.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (/.f64 (*.f64 3 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 2 (/.f64 (+.f64 beta 2) alpha) (/.f64 2 alpha)))))))) (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 4) (*.f64 4 (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 (+.f64 beta 2) alpha)) (*.f64 2 (/.f64 1 alpha))))))))))))))))
(fma.f64 -1 (/.f64 (*.f64 3 (pow.f64 (+.f64 beta 2) 2)) (*.f64 alpha alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 (/.f64 beta alpha) (fma.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (*.f64 3 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (*.f64 3 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (fma.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (*.f64 5 (pow.f64 (+.f64 beta 2) 4)) (pow.f64 alpha 4)) (fma.f64 2 (/.f64 (+.f64 beta 2) alpha) (/.f64 2 alpha)))))))))))))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) -3) (*.f64 alpha alpha)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 (/.f64 beta alpha) (fma.f64 2 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (*.f64 3 (pow.f64 (+.f64 beta 2) 4)) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 3 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (fma.f64 -4 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (fma.f64 4 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 4) (pow.f64 alpha 4)) (+.f64 (fma.f64 2 (/.f64 (+.f64 beta 2) alpha) (/.f64 2 alpha)) (/.f64 (*.f64 -5 (pow.f64 (+.f64 beta 2) 4)) (pow.f64 alpha 4)))))))))))))))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 4 (*.f64 2 beta)))) alpha))
(neg.f64 (/.f64 (*.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2)))) alpha))
(/.f64 (*.f64 1 (+.f64 beta (+.f64 (*.f64 beta 2) 6))) alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 4 (*.f64 2 beta)))) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))))
(fma.f64 -1 (/.f64 (*.f64 3 (pow.f64 (+.f64 beta 2) 2)) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 4 (*.f64 beta 2)) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2)))) alpha) (/.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (*.f64 alpha alpha)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) -3) (*.f64 alpha alpha)) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (*.f64 alpha alpha)) (/.f64 (*.f64 1 (+.f64 beta (+.f64 (*.f64 beta 2) 6))) alpha))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -4 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 2)))))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 4 (*.f64 2 beta)))) alpha)) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))))
(fma.f64 -1 (/.f64 (*.f64 3 (pow.f64 (+.f64 beta 2) 2)) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 4 (*.f64 beta 2)) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (fma.f64 -1 (/.f64 (fma.f64 -1 (pow.f64 (+.f64 beta 2) 3) (fma.f64 -4 (pow.f64 (+.f64 beta 2) 3) (fma.f64 -1 (*.f64 (+.f64 beta 2) (*.f64 3 (pow.f64 (+.f64 beta 2) 2))) (*.f64 (neg.f64 (+.f64 4 (*.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 (+.f64 beta 2) (+.f64 4 (*.f64 beta 2)))) alpha) (/.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (*.f64 alpha alpha))))))
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1
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1
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1
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1
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2
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(/.f64 (-.f64 (*.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) -1)))) 2)) (-.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) -1))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 1)))) 3) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 (*.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (-.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 1)))) 2) (*.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 1))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) -1)))) 3) (pow.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) 2)) 3)) (fma.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) 2)) (/.f64 beta (+.f64 (+.f64 alpha beta) 2)) (-.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) -1)))) 2) (*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) -1)))) (/.f64 beta (+.f64 (+.f64 alpha beta) 2))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) -1)))) 3) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3)) (fma.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))) (-.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) -1)))) 2) (*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) -1)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(pow.f64 (+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 1)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1)
(+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) -1)))) (/.f64 beta (+.f64 (+.f64 alpha beta) 2)))
(+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) -1)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 1)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 2)
(+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) -1)))) (/.f64 beta (+.f64 (+.f64 alpha beta) 2)))
(+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) -1)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 1)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 3)
(+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) -1)))) (/.f64 beta (+.f64 (+.f64 alpha beta) 2)))
(+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) -1)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (pow.f64 (+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 1)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3) 1/3)
(+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) -1)))) (/.f64 beta (+.f64 (+.f64 alpha beta) 2)))
(+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) -1)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 1)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) -1)))) (/.f64 beta (+.f64 (+.f64 alpha beta) 2))) 2))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) -1)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 1)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) -1)))) (/.f64 beta (+.f64 (+.f64 alpha beta) 2)))
(+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) -1)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 1)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) -1)))) (/.f64 beta (+.f64 (+.f64 alpha beta) 2)))
(+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) -1)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 1)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3))
(+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) -1)))) (/.f64 beta (+.f64 (+.f64 alpha beta) 2)))
(+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) -1)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 1)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) -1)))) (/.f64 beta (+.f64 (+.f64 alpha beta) 2)))
(+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) -1)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 1)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) -1)))) (/.f64 beta (+.f64 (+.f64 alpha beta) 2)))
(+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) -1)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 1)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 1))
(+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) -1)))) (/.f64 beta (+.f64 (+.f64 alpha beta) 2)))
(+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) -1)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (-.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 1)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) -1)))) (/.f64 beta (+.f64 (+.f64 alpha beta) 2)))
(+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (*.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) (+.f64 (/.f64 alpha (-.f64 alpha (+.f64 beta 2))) -1)))) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))

eval10.8s (36.4%)

Compiler

Compiled 254170 to 182314 computations (28.3% saved)

prune2.3s (7.8%)

Pruning

35 alts after pruning (23 fresh and 12 done)

PrunedKeptTotal
New302043024
Fresh01919
Picked011
Done11112
Total3021353056
Error
0.1b
Counts
3056 → 35
Alt Table
Click to see full alt table
StatusErrorProgram
17.2b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 3)) (+.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 6))))) 2)
17.2b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 3)) (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (/.f64 1 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)))))))))) 2)
18.4b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 3)) (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 (*.f64 alpha alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))))) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))))) 2)
39.2b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 1 (pow.f64 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)))) 3)) (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))))))) 2)
17.2b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))))))) 2)
17.2b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 2)
17.2b
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (log.f64 (exp.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))) 2)
46.7b
(/.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 2 beta) alpha) (*.f64 alpha 2)) alpha) alpha) 2)
34.6b
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha)) -2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
43.9b
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
57.7b
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
57.7b
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2)
48.1b
(/.f64 (/.f64 2 alpha) 2)
17.9b
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
17.2b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (-.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))) 2)
17.2b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) 2)
17.2b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
17.2b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 (pow.f64 (/.f64 alpha (+.f64 (+.f64 alpha beta) 2)) 6) (pow.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 3))) (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 4) (*.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 (+.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))))) 2)
18.8b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
17.9b
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
45.0b
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
33.8b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
17.9b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
18.8b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
45.2b
(/.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 2 (/.f64 -2 beta))) 2)
17.9b
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2)
36.6b
(/.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta 2)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 2)
18.8b
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) beta) 1) 2)
43.1b
(/.f64 (+.f64 (*.f64 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2)
35.7b
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
45.4b
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
34.7b
(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2)
43.9b
(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2)
40.7b
(/.f64 2 2)
33.6b
(/.f64 1 2)
Compiler

Compiled 958 to 706 computations (26.3% saved)

regimes212.0ms (0.7%)

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

5 calls:

75.0ms
alpha
62.0ms
beta
20.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
7.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
ErrorSegmentsBranch
2.1b2alpha
15.3b3beta
0.1b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.1b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.1b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 1323 to 931 computations (29.6% saved)

bsearch2.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.0
-0.999963225982688
Compiler

Compiled 20 to 15 computations (25% saved)

regimes215.0ms (0.7%)

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

5 calls:

91.0ms
beta
51.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
36.0ms
alpha
9.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
6.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
ErrorSegmentsBranch
2.1b2alpha
15.3b3beta
0.1b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.1b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.1b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 1061 to 744 computations (29.9% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.0
-0.999963225982688
Compiler

Compiled 20 to 15 computations (25% saved)

regimes159.0ms (0.5%)

Counts
33 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2)
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 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 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) beta) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2)
(/.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 2 (/.f64 -2 beta))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2)
(/.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 2 beta) alpha) (*.f64 alpha 2)) alpha) alpha) 2)
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2)))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 2)
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 beta alpha)) -2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)) (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))) 2)
(/.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (-.f64 (-.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))) 2)
Outputs
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 2)
Calls

5 calls:

86.0ms
beta
29.0ms
alpha
17.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
6.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
ErrorSegmentsBranch
2.1b2alpha
15.3b3beta
0.1b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.1b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.1b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 473 to 340 computations (28.1% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.0
-0.999963225982688
Compiler

Compiled 20 to 15 computations (25% saved)

regimes130.0ms (0.4%)

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

5 calls:

65.0ms
beta
28.0ms
alpha
17.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
5.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
ErrorSegmentsBranch
2.1b2alpha
15.3b3beta
0.1b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.1b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.1b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 339 to 248 computations (26.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.0
-0.999963225982688
Compiler

Compiled 20 to 15 computations (25% saved)

regimes112.0ms (0.4%)

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

5 calls:

39.0ms
beta
24.0ms
alpha
15.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
5.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
5.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
ErrorSegmentsBranch
2.1b2alpha
15.9b3beta
0.1b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.1b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.1b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 320 to 235 computations (26.6% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.0
-0.999963225982688
Compiler

Compiled 20 to 15 computations (25% saved)

regimes89.0ms (0.3%)

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 alpha)) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2)
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 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 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) beta) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2)
(/.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 2 (/.f64 -2 beta))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2)
(/.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 2 beta) alpha) (*.f64 alpha 2)) alpha) alpha) 2)
Outputs
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2)
Calls

5 calls:

33.0ms
beta
25.0ms
alpha
12.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
7.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
5.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Results
ErrorSegmentsBranch
2.1b2alpha
15.9b3beta
0.1b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.1b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.1b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 284 to 210 computations (26.1% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.0
-0.999963225982688
Compiler

Compiled 20 to 15 computations (25% saved)

regimes117.0ms (0.4%)

Counts
23 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 2 2)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 (*.f64 2 (/.f64 beta alpha)) 2)
(/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2)
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 2 (/.f64 2 beta)) 2)
(/.f64 (/.f64 2 (/.f64 alpha beta)) 2)
(/.f64 (/.f64 (*.f64 2 beta) alpha) 2)
(/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 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 (/.f64 1 beta) (-.f64 beta alpha)) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) beta) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
(/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 alpha)) beta)) 2) 2)
(/.f64 (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha))) 2)
(/.f64 (+.f64 (/.f64 4 (*.f64 beta beta)) (+.f64 2 (/.f64 -2 beta))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 beta alpha)) 1) 2)
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:

65.0ms
beta
21.0ms
alpha
14.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
6.0ms
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
5.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Results
ErrorSegmentsBranch
2.1b2alpha
15.9b3beta
0.1b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.1b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.1b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 254 to 190 computations (25.2% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.0
-0.999963225982688
Compiler

Compiled 20 to 15 computations (25% saved)

regimes88.0ms (0.3%)

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

2 calls:

61.0ms
beta
23.0ms
alpha
Results
ErrorSegmentsBranch
2.2b2alpha
16.9b3beta
Compiler

Compiled 174 to 137 computations (21.3% saved)

bsearch12.0ms (0%)

Algorithm
binary-search
Steps
TimeLeftRight
12.0ms
13495565859503958000.0
2.908944865402671e+20
Results
11.0ms112×body256valid
Compiler

Compiled 202 to 169 computations (16.3% saved)

regimes41.0ms (0.1%)

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

2 calls:

22.0ms
beta
15.0ms
alpha
Results
ErrorSegmentsBranch
2.2b2alpha
16.9b3beta
Compiler

Compiled 113 to 90 computations (20.4% saved)

bsearch13.0ms (0%)

Algorithm
binary-search
Steps
TimeLeftRight
12.0ms
13495565859503958000.0
2.908944865402671e+20
Results
11.0ms112×body256valid
Compiler

Compiled 188 to 155 computations (17.6% saved)

regimes39.0ms (0.1%)

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

2 calls:

20.0ms
beta
16.0ms
alpha
Results
ErrorSegmentsBranch
2.3b2alpha
16.9b3beta
Compiler

Compiled 93 to 75 computations (19.4% saved)

bsearch15.0ms (0%)

Algorithm
binary-search
Steps
TimeLeftRight
14.0ms
13495565859503958000.0
2.908944865402671e+20
Results
13.0ms112×body256valid
Compiler

Compiled 188 to 155 computations (17.6% saved)

regimes49.0ms (0.2%)

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

2 calls:

25.0ms
beta
22.0ms
alpha
Results
ErrorSegmentsBranch
14.5b4alpha
17.2b4beta
Compiler

Compiled 75 to 61 computations (18.7% saved)

bsearch97.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
12.0ms
13495565859503958000.0
2.908944865402671e+20
10.0ms
-6.459932831635886e-254
-1.5274847700582706e-257
74.0ms
-2.390234489014615e-222
-8.010476212006948e-225
Results
92.0ms336×body256valid
Compiler

Compiled 346 to 319 computations (7.8% saved)

regimes72.0ms (0.2%)

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

2 calls:

47.0ms
beta
21.0ms
alpha
Results
ErrorSegmentsBranch
19.0b4alpha
17.2b4beta
Compiler

Compiled 66 to 54 computations (18.2% saved)

bsearch125.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
42.0ms
0.0017053399324625945
78507.58029197251
65.0ms
-2.6548930206235032e-253
-1.0042133153979846e-262
17.0ms
-6.359348893581703e-209
-1.498518201775379e-210
Results
70.0ms268×body256valid
28.0ms46×body512valid
17.0ms74×body1024valid
4.0ms12×body2048valid
Compiler

Compiled 488 to 433 computations (11.3% saved)

regimes61.0ms (0.2%)

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

2 calls:

40.0ms
beta
19.0ms
alpha
Results
ErrorSegmentsBranch
19.0b4alpha
17.4b4beta
Compiler

Compiled 45 to 38 computations (15.6% saved)

bsearch117.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
49.0ms
0.0017053399324625945
78507.58029197251
51.0ms
-2.6548930206235032e-253
-1.0042133153979846e-262
16.0ms
-6.359348893581703e-209
-1.498518201775379e-210
Results
59.0ms292×body256valid
34.0ms35×body512valid
15.0ms67×body1024valid
2.0msbody2048valid
Compiler

Compiled 452 to 406 computations (10.2% saved)

regimes46.0ms (0.2%)

Counts
6 → 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 alpha)) 2)
Outputs
(/.f64 1 2)
(/.f64 (/.f64 2 alpha) 2)
(/.f64 1 2)
(/.f64 2 2)
Calls

2 calls:

25.0ms
beta
19.0ms
alpha
Results
ErrorSegmentsBranch
19.0b4alpha
17.8b4beta
Compiler

Compiled 38 to 32 computations (15.8% saved)

bsearch93.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
0.0017053399324625945
78507.58029197251
21.0ms
-2.6548930206235032e-253
-1.0042133153979846e-262
50.0ms
-6.359348893581703e-209
-1.498518201775379e-210
Results
50.0ms72×body1024valid
28.0ms282×body256valid
6.0ms36×body512valid
3.0ms10×body2048valid
Compiler

Compiled 352 to 331 computations (6% saved)

regimes54.0ms (0.2%)

Accuracy

Total -42.2b remaining (-214.1%)

Threshold costs -42.2b (-214.1%)

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

2 calls:

40.0ms
beta
13.0ms
alpha
Results
ErrorSegmentsBranch
30.5b4alpha
19.7b2beta
Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch22.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
0.0017053399324625945
78507.58029197251
Results
10.0ms106×body256valid
8.0ms29×body1024valid
1.0msbody512valid
1.0msbody2048valid
Compiler

Compiled 128 to 123 computations (3.9% saved)

simplify54.0ms (0.2%)

Algorithm
egg-herbie
Rules
90×+-commutative
62×*-commutative
38×distribute-lft-neg-in
30×neg-sub0
28×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01381564
11841552
22181552
32541552
42861552
53111552
63291552
73361552
83381552
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 3)) (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (/.f64 1 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)))))))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.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 13500000000000000000) (/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) beta) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 13500000000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 15000000000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2))
(if (<=.f64 alpha -7834916958633829/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672) (/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2) (if (<=.f64 alpha -7924417967034979/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584) (/.f64 2 2) (if (<=.f64 alpha 13500000000000000000) (/.f64 1 2) (/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2))))
(if (<=.f64 beta -2220894945574821/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta -5626125438782381/1081947199765842424529591879509026010150599323721976877318063532086628152436172512203606540057921920808293160946190599534351047801861499980289103827892100253508375928829962412377562148201321351276593628996016513851695161943555198441141036848674890703850575013678567420592128) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta -2220894945574821/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta -4044755004007437/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2))))
(if (<=.f64 beta -2220894945574821/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656) (/.f64 1 2) (if (<=.f64 beta -134137283296165/515912628062173092140956821207535748553561841832149923953086629908861232965551620580485601452790222553392963860602664725471042538576841344971229471155214430574596371092778402508526872730885196340843977449424988675925808879640197010584371971452184059071815020407947264) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))))
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))
(/.f64 1 2)
Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 3)) (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (/.f64 1 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)))))))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 1 (pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 3)) (*.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))) (+.f64 1 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (*.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (/.f64 1 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha)))))))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 alpha) (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (fma.f64 beta (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (-.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) -1)) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 -1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 1 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (/.f64 1 (/.f64 1 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (/.f64 1 (/.f64 1 (+.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2)))))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2) (/.f64 (+.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha))) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -1) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2) (/.f64 (+.f64 1 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 beta alpha)))) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -1) (/.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)) -1) (/.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 13500000000000000000) (/.f64 (+.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) beta) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 13500000000000000000) (/.f64 (+.f64 1 (*.f64 beta (/.f64 1 (+.f64 beta 2)))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 13500000000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2))
(if (<=.f64 alpha 13500000000000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (/.f64 (+.f64 2 (*.f64 beta 2)) alpha) 2))
(if (<=.f64 alpha 15000000000000000000) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2))
(if (<=.f64 alpha 15000000000000000000) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2))
(if (<=.f64 alpha -7834916958633829/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672) (/.f64 (+.f64 1 (*.f64 -1/2 alpha)) 2) (if (<=.f64 alpha -7924417967034979/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584) (/.f64 2 2) (if (<=.f64 alpha 13500000000000000000) (/.f64 1 2) (/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2))))
(if (<=.f64 alpha -7834916958633829/833501804109981784259981473840157224643094790289488520049532226470504654727204008940179025108944286342866238824179155055736100206764920635045419506541353755761894697439251819807884785738976753091120627016985825247711343504684557661395484672) (/.f64 (+.f64 1 (*.f64 alpha -1/2)) 2) (if (<=.f64 alpha -7924417967034979/132073632783916311588084946229129151629711831509030380531990177256668475639181214868604313971914296973668598748314282169720586889875671384312634744615734894227096670999751271042182879419106610263256058227052797101037007073187890434709599224691759119122384645224434499584) 1 (if (<=.f64 alpha 13500000000000000000) 1/2 (/.f64 (*.f64 (/.f64 2 alpha) (+.f64 beta 1)) 2))))
(if (<=.f64 beta -2220894945574821/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta -5626125438782381/1081947199765842424529591879509026010150599323721976877318063532086628152436172512203606540057921920808293160946190599534351047801861499980289103827892100253508375928829962412377562148201321351276593628996016513851695161943555198441141036848674890703850575013678567420592128) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta -2220894945574821/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta -5626125438782381/1081947199765842424529591879509026010150599323721976877318063532086628152436172512203606540057921920808293160946190599534351047801861499980289103827892100253508375928829962412377562148201321351276593628996016513851695161943555198441141036848674890703850575013678567420592128) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (/.f64 (-.f64 2 (/.f64 2 beta)) 2))))
(if (<=.f64 beta -2220894945574821/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta -5626125438782381/1081947199765842424529591879509026010150599323721976877318063532086628152436172512203606540057921920808293160946190599534351047801861499980289103827892100253508375928829962412377562148201321351276593628996016513851695161943555198441141036848674890703850575013678567420592128) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (/.f64 (+.f64 2 (/.f64 -2 beta)) 2))))
(if (<=.f64 beta -2220894945574821/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (if (<=.f64 beta -4044755004007437/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2))))
(if (<=.f64 beta -2220894945574821/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) (if (<=.f64 beta -4044755004007437/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) 1)))
(if (<=.f64 beta -2220894945574821/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656) (/.f64 1 2) (if (<=.f64 beta -134137283296165/515912628062173092140956821207535748553561841832149923953086629908861232965551620580485601452790222553392963860602664725471042538576841344971229471155214430574596371092778402508526872730885196340843977449424988675925808879640197010584371971452184059071815020407947264) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))))
(if (<=.f64 beta -2220894945574821/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656) 1/2 (if (<=.f64 beta -134137283296165/515912628062173092140956821207535748553561841832149923953086629908861232965551620580485601452790222553392963860602664725471042538576841344971229471155214430574596371092778402508526872730885196340843977449424988675925808879640197010584371971452184059071815020407947264) (/.f64 (/.f64 2 alpha) 2) (if (<=.f64 beta 2) 1/2 1)))
(if (<=.f64 beta 2) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 2) 1/2 1)
(/.f64 1 2)
1/2
Compiler

Compiled 599 to 448 computations (25.2% saved)

soundness354.0ms (1.2%)

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

Useful iterations: 5 (0.0ms)

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

Compiled 56 to 38 computations (32.1% saved)

end256.0ms (0.9%)

Compiler

Compiled 569 to 406 computations (28.6% saved)

Profiling

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