Details

Time bar (total: 8.2s)

analyze61.0ms (0.7%)

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

Compiled 22 to 16 computations (27.3% saved)

sample1.5s (17.7%)

Results
982.0ms6439×body256valid
301.0ms1133×body1024valid
127.0ms579×body512valid
34.0ms105×body2048valid
Bogosity

preprocess66.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 17 to 13 computations (23.5% saved)

simplify64.0ms (0.8%)

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

Useful iterations: 5 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 65 to 39 computations (40% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New415
Fresh101
Picked000
Done000
Total516
Error
14.0b
Counts
6 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
14.0b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2))
1.8b
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1)
Compiler

Compiled 50 to 23 computations (54% saved)

series7.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite86.0ms (1%)

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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simplify115.0ms (1.4%)

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

Useful iterations: 1 (0.0ms)

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

eval198.0ms (2.4%)

Compiler

Compiled 12222 to 7914 computations (35.2% saved)

prune135.0ms (1.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New34410354
Fresh000
Picked011
Done000
Total34411355
Error
0.0b
Counts
355 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
33.6b
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
47.4b
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
50.1b
(/.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)
13.6b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
32.1b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
49.9b
(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) 2)
14.0b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
15.5b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
61.6b
(/.f64 (+.f64 -1 1) 2)
50.1b
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2)
38.0b
(/.f64 2 2)
Compiler

Compiled 429 to 319 computations (25.6% saved)

localize26.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
0.0b
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
1.8b
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
Compiler

Compiled 73 to 47 computations (35.6% saved)

series43.0ms (0.5%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
39.0ms
beta
@inf
(/.f64 alpha (+.f64 beta (+.f64 alpha 2)))
0.0ms
beta
@0
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
0.0ms
beta
@0
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
0.0ms
beta
@-inf
(/.f64 beta (+.f64 beta (+.f64 alpha 2)))
0.0ms
alpha
@inf
(-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)

rewrite93.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1814×associate-/r*
1384×associate-/l*
850×associate-/r/
464×associate-/l/
270×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01163
125763
2373763
Stop Event
node limit
Counts
3 → 188
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)))
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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simplify182.0ms (2.2%)

Algorithm
egg-herbie
Rules
828×associate-+l-
654×associate-+r-
636×*-commutative
560×associate-/l*
542×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059612924
1180512488
2711512478
Stop Event
node limit
Counts
260 → 416
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)))))
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(/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) -1) (*.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)))) (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) 1) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))))
(pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 3))
(expm1.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)))
(fma.f64 alpha (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) -1)
(fma.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1)
(fma.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) -1)
(+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 0)
(+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1))
(+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) -1) 1)
(+.f64 0 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(+.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) -1)
(-.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) 1)
(-.f64 (+.f64 1 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))) (/.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))))) (/.f64 1 (+.f64 1 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2)))))
(*.f64 alpha (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))))
(*.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)
(*.f64 1 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (*.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(*.f64 (sqrt.f64 alpha) (*.f64 (sqrt.f64 alpha) (/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))))
(*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2) (*.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (cbrt.f64 alpha) (/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))))
(*.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) alpha)
(*.f64 (neg.f64 alpha) (/.f64 1 (-.f64 -2 (+.f64 alpha beta))))
(*.f64 (/.f64 alpha 1) (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 alpha (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 alpha (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 alpha (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 alpha (-.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 alpha (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(*.f64 (/.f64 1 (-.f64 -2 (+.f64 alpha beta))) (neg.f64 alpha))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 alpha) (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 alpha))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 alpha) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (/.f64 alpha 1) 1) (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 alpha))
(*.f64 (/.f64 alpha (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (neg.f64 (-.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 alpha (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 alpha (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (+.f64 alpha (-.f64 2 beta)))
(*.f64 (/.f64 alpha (-.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 4)) (+.f64 alpha (-.f64 beta 2)))
(*.f64 (/.f64 alpha (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (-.f64 4 (*.f64 (+.f64 alpha beta) 2))))
(*.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 2)) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(*.f64 (/.f64 (neg.f64 alpha) (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (neg.f64 alpha) (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 (neg.f64 alpha) 1) (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (*.f64 (neg.f64 alpha) 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 alpha 1) (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (neg.f64 (-.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 alpha 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 (/.f64 alpha 1) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (+.f64 alpha (-.f64 2 beta)))
(*.f64 (/.f64 (/.f64 alpha 1) (-.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 4)) (+.f64 alpha (-.f64 beta 2)))
(*.f64 (/.f64 (/.f64 alpha 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 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (sqrt.f64 (-.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 alpha (sqrt.f64 (+.f64 alpha (+.f64 beta 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 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (cbrt.f64 (-.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 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))))))
(pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 3)
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) alpha) -1)
(pow.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(neg.f64 (/.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(sqrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) 1)
(*.f64 beta (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))))
(*.f64 1 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1)
(*.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (sqrt.f64 beta) (*.f64 (sqrt.f64 beta) (/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))))
(*.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 (cbrt.f64 beta) (/.f64 -1 (-.f64 -2 (+.f64 alpha beta)))))
(*.f64 (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))) beta)
(*.f64 (neg.f64 beta) (/.f64 1 (-.f64 -2 (+.f64 alpha beta))))
(*.f64 (/.f64 beta 1) (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 beta (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 beta (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 beta (+.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 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 beta (-.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 beta (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(*.f64 (/.f64 1 (-.f64 -2 (+.f64 alpha beta))) (neg.f64 beta))
(*.f64 (/.f64 (sqrt.f64 beta) 1) (/.f64 (sqrt.f64 beta) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 beta) (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 beta))
(*.f64 (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1) (/.f64 (cbrt.f64 beta) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (/.f64 beta 1) 1) (/.f64 -1 (-.f64 -2 (+.f64 alpha beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 beta) 2) (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 beta))
(*.f64 (/.f64 beta (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (neg.f64 (-.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 beta (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 beta (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (+.f64 alpha (-.f64 2 beta)))
(*.f64 (/.f64 beta (-.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 4)) (+.f64 alpha (-.f64 beta 2)))
(*.f64 (/.f64 beta (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (-.f64 4 (*.f64 (+.f64 alpha beta) 2))))
(*.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 2)) (pow.f64 (cbrt.f64 beta) 2))) (cbrt.f64 beta))
(*.f64 (/.f64 (neg.f64 beta) (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (neg.f64 beta) (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 beta 1) (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (neg.f64 (-.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 beta 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 (/.f64 beta 1) (-.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta))) (+.f64 alpha (-.f64 2 beta)))
(*.f64 (/.f64 (/.f64 beta 1) (-.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 4)) (+.f64 alpha (-.f64 beta 2)))
(*.f64 (/.f64 (/.f64 beta 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 (/.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (sqrt.f64 (-.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 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 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (cbrt.f64 (-.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 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))))))
(pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) -1)
(neg.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (log.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 beta (+.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)
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(/.f64 (/.f64 beta (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (sqrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (sqrt.f64 (+.f64 beta (-.f64 -2 alpha)))))
(*.f64 (/.f64 (/.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 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 (sqrt.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))) (/.f64 beta (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (sqrt.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))) (/.f64 beta (*.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (hypot.f64 (pow.f64 (+.f64 alpha 2) 3/2) (pow.f64 beta 3/2)))))
(*.f64 (/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))) (cbrt.f64 (-.f64 beta (+.f64 alpha 2))))
(*.f64 (cbrt.f64 (-.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))))
(*.f64 (cbrt.f64 (+.f64 beta (-.f64 -2 alpha))) (/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (cbrt.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))))
(*.f64 (/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 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 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3))))
(*.f64 (cbrt.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))) (/.f64 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 beta 3)))))
(pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 1)
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(/.f64 beta (+.f64 2 (+.f64 alpha beta)))
(pow.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2)
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(/.f64 beta (+.f64 2 (+.f64 alpha beta)))
(pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3)
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(/.f64 beta (+.f64 2 (+.f64 alpha beta)))
(pow.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(/.f64 beta (+.f64 2 (+.f64 alpha beta)))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) beta) -1)
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(/.f64 beta (+.f64 2 (+.f64 alpha beta)))
(neg.f64 (/.f64 beta (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (neg.f64 beta) (-.f64 -2 (+.f64 alpha beta)))
(sqrt.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2))
(fabs.f64 (/.f64 beta (+.f64 2 (+.f64 alpha beta))))
(log.f64 (exp.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(/.f64 beta (+.f64 2 (+.f64 alpha beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(/.f64 beta (+.f64 2 (+.f64 alpha beta)))
(cbrt.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3))
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(/.f64 beta (+.f64 2 (+.f64 alpha beta)))
(cbrt.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(/.f64 beta (+.f64 2 (+.f64 alpha beta)))
(expm1.f64 (log1p.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(/.f64 beta (+.f64 2 (+.f64 alpha beta)))
(exp.f64 (log.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(/.f64 beta (+.f64 2 (+.f64 alpha beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1))
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(/.f64 beta (+.f64 2 (+.f64 alpha beta)))
(log1p.f64 (expm1.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(/.f64 beta (+.f64 alpha (+.f64 beta 2)))
(/.f64 beta (+.f64 2 (+.f64 alpha beta)))

localize3.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize13.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite80.0ms (1%)

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

Useful iterations: 0 (0.0ms)

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

simplify58.0ms (0.7%)

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

Useful iterations: 2 (0.0ms)

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

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 29 to 21 computations (27.6% saved)

series4.0ms (0%)

Counts
2 → 36
Calls

12 calls:

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

rewrite75.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1220×associate-/r*
1132×associate-/l*
1032×*-commutative
470×associate-/l/
446×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0944
120636
2283234
Stop Event
node limit
Counts
2 → 119
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 alpha) 2) (*.f64 (/.f64 1 alpha) (*.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 alpha) (*.f64 2 beta)) (*.f64 (/.f64 1 alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 (*.f64 2 beta) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2 beta) (/.f64 1 alpha)) (*.f64 2 (/.f64 1 alpha)))))) (#(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 (fma.f64 2 beta 2) (neg.f64 (neg.f64 (/.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 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alpha) 2)))))) (#(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 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 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 *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) alpha) (cbrt.f64 (fma.f64 2 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 alpha (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2))) (cbrt.f64 (fma.f64 2 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x 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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 cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 beta 2) 3) (pow.f64 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 log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha)))))))

simplify74.0ms (0.9%)

Algorithm
egg-herbie
Rules
1390×unswap-sqr
1176×associate-/r*
686×distribute-lft-neg-out
598×distribute-rgt-neg-out
532×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02853735
17583259
231352779
Stop Event
node limit
Counts
155 → 158
Calls
Call 1
Inputs
(/.f64 1 alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) 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 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) alpha))) 1)
(*.f64 (fma.f64 2 beta 2) (*.f64 1/2 (/.f64 1 alpha)))
(*.f64 (fma.f64 2 beta 2) (/.f64 1/2 alpha))
(*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2)
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) alpha) 1)
(*.f64 1 (/.f64 (/.f64 (+.f64 beta 1) 1) alpha))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (*.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 1/2))
(*.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) alpha)) (sqrt.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 1/2))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) alpha)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) alpha)) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) alpha)))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)) -1/2)
(*.f64 (*.f64 1/2 (/.f64 1 alpha)) (fma.f64 2 beta 2))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 1/2) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 1/2) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2))
(*.f64 (/.f64 (+.f64 beta 1) 1) (/.f64 1 alpha))
(*.f64 (/.f64 1/2 alpha) (fma.f64 2 beta 2))
(*.f64 -1/2 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 2) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 2) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 2))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 2 alpha)) (sqrt.f64 (fma.f64 2 beta 2)))
(*.f64 (/.f64 1 (*.f64 2 (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2))))) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(*.f64 (/.f64 1 (/.f64 2 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2))) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 2 alpha)) (cbrt.f64 (fma.f64 2 beta 2)))
(*.f64 (/.f64 1/2 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 1/2 (neg.f64 alpha)) (+.f64 -2 (*.f64 beta -2)))
(*.f64 (/.f64 1/2 (/.f64 alpha 1)) (fma.f64 2 beta 2))
(*.f64 (/.f64 1/2 (/.f64 alpha (sqrt.f64 (fma.f64 2 beta 2)))) (sqrt.f64 (fma.f64 2 beta 2)))
(*.f64 (/.f64 1/2 (/.f64 alpha (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2))) (cbrt.f64 (fma.f64 2 beta 2)))
(pow.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) alpha) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) alpha)) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) alpha) 3) 1/3)
(pow.f64 (/.f64 alpha (/.f64 (+.f64 beta 1) 1)) -1)
(neg.f64 (/.f64 (fma.f64 2 beta 2) (*.f64 alpha -2)))
(neg.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)) 1/2))
(neg.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) (*.f64 alpha -2)) 1))
(neg.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) alpha) -1/2))
(neg.f64 (*.f64 1 (/.f64 (fma.f64 2 beta 2) (*.f64 alpha -2))))
(neg.f64 (*.f64 1/2 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) alpha) 2))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 2 beta 2) alpha))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) alpha) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) alpha)))
(exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) alpha)))
(+.f64 (*.f64 (/.f64 1 alpha) 2) (*.f64 (/.f64 1 alpha) (*.f64 2 beta)))
(+.f64 (*.f64 (/.f64 1 alpha) (*.f64 2 beta)) (*.f64 (/.f64 1 alpha) 2))
(+.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 (*.f64 2 beta) (/.f64 1 alpha)))
(+.f64 (*.f64 (*.f64 2 beta) (/.f64 1 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 (fma.f64 2 beta 2) (neg.f64 (neg.f64 (/.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 (/.f64 (fma.f64 2 beta 2) alpha)) (neg.f64 (neg.f64 (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 (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)))
(*.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 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (neg.f64 (neg.f64 (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 (+.f64 -2 (*.f64 beta -2)) (neg.f64 (/.f64 1 alpha)))
(*.f64 (+.f64 -2 (*.f64 beta -2)) (/.f64 -1 alpha))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha))) (neg.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha))) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)))) (neg.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)) (sqrt.f64 (fma.f64 2 beta 2)))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 2 beta 2)) (/.f64 1 alpha)) (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2))
(*.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 (fma.f64 2 beta 2) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))
(*.f64 (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 -1 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) (neg.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2)) (neg.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))))
(*.f64 (/.f64 -1 alpha) (+.f64 -2 (*.f64 beta -2)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha) (sqrt.f64 (fma.f64 2 beta 2)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 1))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 1))
(*.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 (sqrt.f64 (fma.f64 2 beta 2)) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (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))
(*.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 (cbrt.f64 (fma.f64 2 beta 2)) (sqrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 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)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) alpha) (cbrt.f64 (fma.f64 2 beta 2)))
(*.f64 (/.f64 1 (/.f64 alpha (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2))) (cbrt.f64 (fma.f64 2 beta 2)))
(*.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 beta (*.f64 -4 beta))) (/.f64 1 alpha)) (+.f64 4 (*.f64 beta (*.f64 -4 beta)))) (fma.f64 2 beta 2))
(*.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 beta (*.f64 -4 beta))) (/.f64 1 alpha)) (-.f64 8 (*.f64 8 (pow.f64 beta 3)))) (+.f64 4 (*.f64 beta (+.f64 4 (*.f64 beta 4)))))
(*.f64 (/.f64 (*.f64 (/.f64 1 alpha) (+.f64 8 (*.f64 8 (pow.f64 beta 3)))) (-.f64 16 (*.f64 (*.f64 beta (-.f64 (*.f64 beta 4) 4)) (*.f64 beta (-.f64 (*.f64 beta 4) 4))))) (-.f64 4 (*.f64 beta (-.f64 (*.f64 beta 4) 4))))
(*.f64 (/.f64 (*.f64 (/.f64 1 alpha) (+.f64 8 (*.f64 8 (pow.f64 beta 3)))) (+.f64 64 (pow.f64 (*.f64 beta (-.f64 (*.f64 beta 4) 4)) 3))) (+.f64 16 (*.f64 (*.f64 beta (-.f64 (*.f64 beta 4) 4)) (-.f64 (*.f64 beta (-.f64 (*.f64 beta 4) 4)) 4))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)))) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha))) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha))))) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) 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))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 2 beta 2) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(exp.f64 (log.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
Outputs
(/.f64 1 alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(/.f64 2 alpha)
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 beta 2 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 beta 2 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 beta 2 2) alpha)
(*.f64 2 (/.f64 beta alpha))
(/.f64 (*.f64 beta 2) alpha)
(*.f64 beta (/.f64 2 alpha))
(/.f64 2 (/.f64 alpha beta))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 beta 2 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 beta 2 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 beta 2 2) alpha)
(*.f64 2 (/.f64 beta alpha))
(/.f64 (*.f64 beta 2) alpha)
(*.f64 beta (/.f64 2 alpha))
(/.f64 2 (/.f64 alpha beta))
(+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 beta 2 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 beta 2 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 beta 2 2) alpha)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) alpha))) 1)
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (fma.f64 2 beta 2) (*.f64 1/2 (/.f64 1 alpha)))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (fma.f64 2 beta 2) (/.f64 1/2 alpha))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (/.f64 (fma.f64 2 beta 2) alpha) 1/2)
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) alpha) 1)
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 1 (/.f64 (/.f64 (+.f64 beta 1) 1) alpha))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (*.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 1/2))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) alpha)) (sqrt.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) alpha)))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 1/2))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) alpha)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) alpha)) 2))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) alpha)) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) alpha)))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)) -1/2)
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (*.f64 1/2 (/.f64 1 alpha)) (fma.f64 2 beta 2))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 1/2) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 1/2) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (/.f64 (+.f64 beta 1) 1) (/.f64 1 alpha))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (/.f64 1/2 alpha) (fma.f64 2 beta 2))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 -1/2 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 2) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) alpha) (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) 2))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 2) (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (/.f64 (cbrt.f64 (fma.f64 2 beta 2)) alpha) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) 2))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2 beta 2)) (*.f64 2 alpha)) (sqrt.f64 (fma.f64 2 beta 2)))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (/.f64 1 (*.f64 2 (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2))))) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) (/.f64 1/2 (sqrt.f64 (/.f64 alpha (fma.f64 2 beta 2)))))
(*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 (fma.f64 beta 2 2) alpha)) (sqrt.f64 (/.f64 alpha (fma.f64 beta 2 2)))))
(*.f64 (/.f64 1 (/.f64 2 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2))) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (sqrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2) (*.f64 2 alpha)) (cbrt.f64 (fma.f64 2 beta 2)))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (/.f64 1/2 (sqrt.f64 alpha)) (/.f64 (fma.f64 2 beta 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 1/2 (sqrt.f64 alpha)) (/.f64 (fma.f64 beta 2 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 2 beta 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (fma.f64 beta 2 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 1/2 (neg.f64 alpha)) (+.f64 -2 (*.f64 beta -2)))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (/.f64 1/2 (/.f64 alpha 1)) (fma.f64 2 beta 2))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (/.f64 1/2 (/.f64 alpha (sqrt.f64 (fma.f64 2 beta 2)))) (sqrt.f64 (fma.f64 2 beta 2)))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (/.f64 1/2 (/.f64 alpha (pow.f64 (cbrt.f64 (fma.f64 2 beta 2)) 2))) (cbrt.f64 (fma.f64 2 beta 2)))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(pow.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) alpha) 1)
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) alpha)) 2)
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) alpha)) 3)
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) alpha) 3) 1/3)
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(pow.f64 (/.f64 alpha (/.f64 (+.f64 beta 1) 1)) -1)
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(neg.f64 (/.f64 (fma.f64 2 beta 2) (*.f64 alpha -2)))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(neg.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) (neg.f64 alpha)) 1/2))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
(/.f64 (+.f64 1 beta) alpha)
(neg.f64 (*.f64 (/.f64 (fma.f64 2 beta 2) (*.f64 alpha -2)) 1))
(*.f64 1/2 (/.f64 (fma.f64 2 beta 2) alpha))
(*.f64 (fma.f64 beta 2 2) (/.f64 1/2 alpha))
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(fma.f64 2 (/.f64 beta alpha) (/.f64 2 alpha))
(/.f64 (fma.f64 beta 2 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 beta 2 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 beta 2 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 beta 2 2) alpha)

localize47.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (neg.f64 beta) (+.f64 2 beta))
0.0b
(pow.f64 (+.f64 2 beta) 2)
3.4b
(+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))
4.8b
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))
Compiler

Compiled 142 to 87 computations (38.7% saved)

series53.0ms (0.6%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
45.0ms
beta
@0
(+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))
2.0ms
beta
@-inf
(+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))
1.0ms
alpha
@0
(+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))
1.0ms
alpha
@0
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))
1.0ms
beta
@inf
(+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))

rewrite117.0ms (1.4%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
016144
1391120
26629120
Stop Event
node limit
Counts
4 → 217
Calls
Call 1
Inputs
(/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))
(+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))
(pow.f64 (+.f64 2 beta) 2)
(-.f64 (neg.f64 beta) (+.f64 2 beta))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) alpha) (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) (*.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 beta alpha) (-.f64 (/.f64 (+.f64 2 beta) alpha) (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))) (-.f64 1 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) (-.f64 1 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)) (/.f64 beta alpha)) (/.f64 (+.f64 2 beta) alpha))))) (#(struct:change #<rule 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+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 beta -2) beta)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 beta (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 beta beta) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 beta -2) 1) beta)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 beta beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta)) (+.f64 beta (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)) (+.f64 beta (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)) (+.f64 beta (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 beta -2) 0) beta)))) (#(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 (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 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 (+.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 2 (+.f64 beta beta)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) (+.f64 2 (+.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 beta beta (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 beta (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 beta -2) (+.f64 beta -2))) (-.f64 beta (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (*.f64 beta beta)) (+.f64 beta (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (-.f64 (+.f64 (*.f64 beta beta) (*.f64 (+.f64 beta -2) (+.f64 beta -2))) (*.f64 beta (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 beta -2) 3) (pow.f64 beta 3)) (+.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 beta -2) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 beta (+.f64 beta -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 2 (+.f64 beta beta)))))) (#(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 fma.f64 1 beta (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 beta (+.f64 beta -2))))))

simplify118.0ms (1.4%)

Algorithm
egg-herbie
Rules
926×fma-def
866×times-frac
792×associate-*l*
762×associate-*r*
712×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058913581
1171011603
Stop Event
node limit
Counts
289 → 361
Calls
Call 1
Inputs
(/.f64 4 (pow.f64 alpha 2))
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
4
(+.f64 4 (*.f64 4 beta))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
-2
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(*.f64 -2 beta)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
(*.f64 -2 beta)
(-.f64 (*.f64 -2 beta) 2)
(-.f64 (*.f64 -2 beta) 2)
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(cbrt.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))))
(exp.f64 (log.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))))
(fma.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))
(fma.f64 (+.f64 beta (+.f64 beta -2)) (/.f64 1 alpha) (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))
(fma.f64 1 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))
(fma.f64 1 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha) (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))
(fma.f64 (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) alpha) (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) alpha) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 beta -2)) alpha)) (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 alpha 4))) (cbrt.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))) (/.f64 (+.f64 beta (+.f64 beta -2)) alpha))
(+.f64 (*.f64 beta (+.f64 2 beta)) (*.f64 (+.f64 2 beta) 2))
(+.f64 (*.f64 beta (+.f64 2 beta)) (*.f64 2 (+.f64 2 beta)))
(+.f64 (*.f64 beta beta) (+.f64 (*.f64 2 beta) (*.f64 (+.f64 2 beta) 2)))
(+.f64 (*.f64 beta beta) (+.f64 (*.f64 2 beta) (*.f64 2 (+.f64 2 beta))))
(+.f64 (*.f64 2 beta) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 2 beta) 2)))
(+.f64 (*.f64 2 beta) (+.f64 (*.f64 beta beta) (*.f64 2 (+.f64 2 beta))))
(+.f64 (*.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta)))
(+.f64 (*.f64 2 (+.f64 2 beta)) (*.f64 beta (+.f64 2 beta)))
(+.f64 (*.f64 (*.f64 2 beta) 1) (+.f64 (*.f64 (*.f64 beta beta) 1) (*.f64 (+.f64 2 beta) 2)))
(+.f64 (*.f64 (*.f64 2 beta) 1) (+.f64 (*.f64 (*.f64 beta beta) 1) (*.f64 2 (+.f64 2 beta))))
(+.f64 (+.f64 (*.f64 (+.f64 2 beta) 2) (*.f64 beta beta)) (*.f64 2 beta))
(+.f64 (+.f64 (*.f64 (+.f64 2 beta) 2) (*.f64 2 beta)) (*.f64 beta beta))
(+.f64 (+.f64 (*.f64 (+.f64 2 beta) 2) (*.f64 (*.f64 2 beta) 1)) (*.f64 (*.f64 beta beta) 1))
(+.f64 (+.f64 (*.f64 2 (+.f64 2 beta)) (*.f64 beta beta)) (*.f64 2 beta))
(+.f64 (+.f64 (*.f64 2 (+.f64 2 beta)) (*.f64 2 beta)) (*.f64 beta beta))
(+.f64 (+.f64 (*.f64 2 (+.f64 2 beta)) (*.f64 (*.f64 2 beta) 1)) (*.f64 (*.f64 beta beta) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 beta (+.f64 2 beta)))) (-.f64 1 (*.f64 (+.f64 2 beta) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 beta (+.f64 2 beta)))) (-.f64 1 (*.f64 2 (+.f64 2 beta))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 2 beta) 2))) 1)
(-.f64 (+.f64 (*.f64 (+.f64 2 beta) 2) (exp.f64 (log1p.f64 (*.f64 beta (+.f64 2 beta))))) 1)
(-.f64 (+.f64 (*.f64 2 (+.f64 2 beta)) (exp.f64 (log1p.f64 (*.f64 beta (+.f64 2 beta))))) 1)
(*.f64 (+.f64 2 beta) (+.f64 2 beta))
(*.f64 (pow.f64 (+.f64 2 beta) 2) 1)
(*.f64 1 (pow.f64 (+.f64 2 beta) 2))
(*.f64 (sqrt.f64 (+.f64 2 beta)) (*.f64 (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) 4)) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (cbrt.f64 (pow.f64 (+.f64 2 beta) 4)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (*.f64 (cbrt.f64 (+.f64 2 beta)) (+.f64 2 beta)))
(*.f64 (*.f64 (+.f64 2 beta) (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)))
(*.f64 (*.f64 (+.f64 2 beta) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (cbrt.f64 (+.f64 2 beta)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(/.f64 (*.f64 (+.f64 4 (*.f64 beta beta)) (+.f64 4 (*.f64 beta beta))) (pow.f64 (+.f64 2 beta) 2))
(/.f64 (*.f64 (+.f64 2 beta) (+.f64 4 (*.f64 beta beta))) (+.f64 2 beta))
(/.f64 (*.f64 (+.f64 2 beta) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (*.f64 (+.f64 4 (*.f64 beta beta)) (+.f64 2 beta)) (+.f64 2 beta))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 2 beta)) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (*.f64 (+.f64 4 (*.f64 beta beta)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (+.f64 2 beta) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 4 (*.f64 beta beta))) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (+.f64 2 beta)))
(sqrt.f64 (pow.f64 (+.f64 2 beta) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 2 beta) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 2 beta) 2))))
(cbrt.f64 (pow.f64 (+.f64 2 beta) 6))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 2 beta) 2)))
(exp.f64 (*.f64 2 (log.f64 (+.f64 2 beta))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 2 beta))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 2 beta) 2)))
(+.f64 beta (+.f64 beta -2))
(+.f64 beta (*.f64 (+.f64 beta -2) 1))
(+.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta))))
(+.f64 beta (+.f64 (*.f64 (+.f64 beta -2) 1) (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta))))
(+.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))
(+.f64 beta (+.f64 (*.f64 (+.f64 beta -2) 1) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))
(+.f64 beta (+.f64 (+.f64 beta -2) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))
(+.f64 beta (+.f64 (*.f64 (+.f64 beta -2) 1) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta)))
(+.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)))
(+.f64 (+.f64 beta (+.f64 beta -2)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta)) (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)) (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)) (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))
(+.f64 (+.f64 beta (+.f64 beta -2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))
(+.f64 (+.f64 beta -2) beta)
(+.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta))))
(+.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta))))
(+.f64 (+.f64 beta -2) (+.f64 beta (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta))))
(+.f64 0 (+.f64 beta (+.f64 beta -2)))
(+.f64 (+.f64 beta beta) -2)
(+.f64 (*.f64 (+.f64 beta -2) 1) beta)
(+.f64 -2 (+.f64 beta beta))
(+.f64 (fma.f64 (+.f64 beta -2) 1 (+.f64 2 beta)) (+.f64 beta (+.f64 beta -2)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 beta))) (sqrt.f64 (+.f64 2 beta)) (+.f64 2 beta)) (+.f64 beta (+.f64 beta -2)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2) (+.f64 2 beta)) (+.f64 beta (+.f64 beta -2)))
(+.f64 (+.f64 (+.f64 beta -2) 0) beta)
(*.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 (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 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) (/.f64 1 (+.f64 2 (+.f64 beta beta))))
(*.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 2 beta)) (sqrt.f64 beta)) (-.f64 (sqrt.f64 beta) (sqrt.f64 (+.f64 2 beta))))
(/.f64 1 (/.f64 (+.f64 2 (+.f64 beta beta)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))))
(/.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) (+.f64 2 (+.f64 beta beta)))
(/.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 beta beta (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta)))))
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2))) (+.f64 beta (+.f64 beta -2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 beta) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))))))
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 beta -2) (+.f64 beta -2))) (-.f64 beta (+.f64 beta -2)))
(/.f64 (-.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (*.f64 beta beta)) (+.f64 beta (+.f64 beta -2)))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 beta -2) 3)) (-.f64 (+.f64 (*.f64 beta beta) (*.f64 (+.f64 beta -2) (+.f64 beta -2))) (*.f64 beta (+.f64 beta -2))))
(/.f64 (-.f64 (pow.f64 (+.f64 beta -2) 3) (pow.f64 beta 3)) (+.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -2)) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 beta -2) beta))))
(pow.f64 (+.f64 beta (+.f64 beta -2)) 1)
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 beta -2))) 2)
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 beta -2))) 3)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 3) 1/3)
(neg.f64 (+.f64 2 (+.f64 beta beta)))
(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))))
(fma.f64 1 beta (+.f64 beta -2))
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta -2))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 beta -2))
(fma.f64 -1 beta (+.f64 beta -2))
Outputs
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 6 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 6 (/.f64 beta (*.f64 alpha alpha))))
(fma.f64 6 (/.f64 beta (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 6 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))))
(fma.f64 6 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(/.f64 (*.f64 (+.f64 beta beta) beta) (*.f64 alpha alpha))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 6 (/.f64 beta (*.f64 alpha alpha)) (*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 (*.f64 6 beta) (*.f64 alpha alpha)))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(fma.f64 6 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(fma.f64 6 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha))))
(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(/.f64 (*.f64 (+.f64 beta beta) beta) (*.f64 alpha alpha))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))))
(fma.f64 6 (/.f64 beta (*.f64 alpha alpha)) (*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 (*.f64 6 beta) (*.f64 alpha alpha)))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(fma.f64 6 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (*.f64 6 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(fma.f64 6 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))
(*.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))
(*.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))
(*.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))
(*.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))
(*.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))
(*.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))
(*.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))
(*.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))
(*.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
(/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))
(*.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
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(*.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 beta (+.f64 beta 2))) (pow.f64 alpha 2))
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(*.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 alpha))
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(*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))
(*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(/.f64 (*.f64 (+.f64 beta beta) beta) (*.f64 alpha alpha))
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(fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))))
(fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha))))
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(-.f64 (fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha)))) (/.f64 2 alpha))
(fma.f64 beta (+.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 -2 alpha)) (+.f64 (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha))) (/.f64 -2 alpha)))
(-.f64 (+.f64 (*.f64 beta (-.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (fma.f64 beta (-.f64 (/.f64 6 (*.f64 alpha alpha)) (/.f64 2 alpha)) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha)))) (/.f64 2 alpha))
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(*.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))
(/.f64 (*.f64 (+.f64 beta beta) beta) (*.f64 alpha alpha))
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(-.f64 (/.f64 (*.f64 (+.f64 beta beta) beta) (*.f64 alpha alpha)) (*.f64 beta (+.f64 (/.f64 2 alpha) (/.f64 -6 (*.f64 alpha alpha)))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 2 (/.f64 1 alpha)) (*.f64 6 (/.f64 1 (pow.f64 alpha 2)))))) (+.f64 (*.f64 2 (/.f64 (pow.f64 beta 2) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (fma.f64 -1 (*.f64 beta (-.f64 (/.f64 2 alpha) (/.f64 6 (*.f64 alpha alpha)))) (fma.f64 2 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (/.f64 4 (*.f64 alpha alpha)))) (/.f64 2 alpha))
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(*.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
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(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(/.f64 (+.f64 -2 (neg.f64 (+.f64 beta beta))) alpha)
(/.f64 (fma.f64 beta -2 -2) alpha)
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(*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha))
(/.f64 (+.f64 -2 (neg.f64 (+.f64 beta beta))) alpha)
(/.f64 (fma.f64 beta -2 -2) alpha)
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(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (+.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta))))
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(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha alpha)) (+.f64 (/.f64 (fma.f64 beta -2 -2) alpha) (*.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 2 beta))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha)) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
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4
(+.f64 4 (*.f64 4 beta))
(fma.f64 4 beta 4)
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (fma.f64 4 beta (*.f64 beta beta)))
(+.f64 4 (*.f64 beta (+.f64 4 beta)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (fma.f64 4 beta (*.f64 beta beta)))
(+.f64 4 (*.f64 beta (+.f64 4 beta)))
(pow.f64 beta 2)
(*.f64 beta beta)
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(fma.f64 4 beta (*.f64 beta beta))
(*.f64 beta (+.f64 4 beta))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (fma.f64 4 beta (*.f64 beta beta)))
(+.f64 4 (*.f64 beta (+.f64 4 beta)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (fma.f64 4 beta (*.f64 beta beta)))
(+.f64 4 (*.f64 beta (+.f64 4 beta)))
(pow.f64 beta 2)
(*.f64 beta beta)
(+.f64 (*.f64 4 beta) (pow.f64 beta 2))
(fma.f64 4 beta (*.f64 beta beta))
(*.f64 beta (+.f64 4 beta))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (fma.f64 4 beta (*.f64 beta beta)))
(+.f64 4 (*.f64 beta (+.f64 4 beta)))
(+.f64 4 (+.f64 (*.f64 4 beta) (pow.f64 beta 2)))
(+.f64 4 (fma.f64 4 beta (*.f64 beta beta)))
(+.f64 4 (*.f64 beta (+.f64 4 beta)))
-2
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(*.f64 -2 beta)
(*.f64 beta -2)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(*.f64 -2 beta)
(*.f64 beta -2)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(-.f64 (*.f64 -2 beta) 2)
(fma.f64 -2 beta -2)
(fma.f64 beta -2 -2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))) 1)
(/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))
(*.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
(*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))
(/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))
(*.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
(*.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)) 1)
(/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))
(*.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
(*.f64 1 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2)))
(/.f64 (+.f64 (*.f64 beta (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (*.f64 alpha alpha))
(*.f64 (+.f64 2 beta) (*.f64 (fma.f64 2 beta 2) (pow.f64 alpha -2)))
(*.f64 (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) alpha) (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) alpha))
(pow.f64 (/.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) alpha) 2)
(*.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) (*.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) (pow.f64 alpha -2)))
(*.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) (*.f64 (pow.f64 alpha -2) (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta))))))
(*.f64 (pow.f64 alpha -2) (*.f64 (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta)))) (hypot.f64 (+.f64 2 beta) (sqrt.f64 (*.f64 beta (+.f64 2 beta))))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) (pow.f64 alpha -2))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 alpha 4))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 2 beta) (*.f64 (+.f64 2 (+.f64 beta beta)) (pow.f64 alpha -2)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) 2) (pow.f64 alpha 4))))
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(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 beta -2)) 3))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 beta -2))))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(exp.f64 (log.f64 (+.f64 beta (+.f64 beta -2))))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 beta -2))) 1))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 beta -2))))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(fma.f64 1 beta (+.f64 beta -2))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 beta -2))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 beta -2))
(+.f64 beta (+.f64 beta -2))
(fma.f64 2 beta -2)
(fma.f64 -1 beta (+.f64 beta -2))
-2

eval583.0ms (7.1%)

Compiler

Compiled 30294 to 20955 computations (30.8% saved)

prune373.0ms (4.5%)

Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New992101002
Fresh415
Picked101
Done145
Total998151013
Error
0.0b
Counts
1013 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
47.4b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2)
13.6b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
15.5b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
32.1b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
14.0b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
15.5b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
34.7b
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
47.4b
(/.f64 (+.f64 1 beta) alpha)
47.7b
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) 2)
61.7b
(/.f64 (*.f64 -1 (/.f64 1 (/.f64 (pow.f64 alpha 3) (fma.f64 (+.f64 beta (+.f64 beta -2)) (*.f64 alpha alpha) (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha))))) 2)
51.4b
(/.f64 (*.f64 -1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))) 2)
58.5b
(/.f64 beta alpha)
38.0b
(/.f64 2 2)
50.4b
(/.f64 1 alpha)
47.4b
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
Compiler

Compiled 340 to 258 computations (24.1% saved)

localize45.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

Compiled 41 to 27 computations (34.1% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite72.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1124×*-commutative
1082×associate-/r*
934×distribute-lft-in
898×distribute-rgt-in
814×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
123725
2333725
Stop Event
node limit
Counts
1 → 57
Calls
Call 1
Inputs
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))) (-.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (-.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (*.f64 (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2)))) (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))))))) (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) 3) (pow.f64 (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2)))) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 (*.f64 (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2)))) (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))))) (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 beta (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))) (/.f64 (+.f64 1 (+.f64 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))) (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)))) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)))) (/.f64 (+.f64 1 (+.f64 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)))) (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) 1) (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) 1) (*.f64 (+.f64 1 (+.f64 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))) (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) 1) (*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) 3) 1) (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) 3) -1) (*.f64 (+.f64 1 (+.f64 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 1 (*.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) 3) -1) (*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 1 (*.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) 1) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1))) (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1)) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1)))) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))) (-.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) 1) (+.f64 1 (+.f64 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 (neg.f64 beta) 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 2 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)))))

simplify71.0ms (0.9%)

Algorithm
egg-herbie
Rules
1706×associate-/l*
1314×associate-/r*
1152×associate-*r/
848×associate-*l/
674×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02325051
17134903
228114903
Stop Event
node limit
Counts
81 → 148
Calls
Call 1
Inputs
1
(+.f64 1 (/.f64 beta (+.f64 2 alpha)))
(+.f64 1 (+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 1 (+.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)))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 2 (+.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)))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 2 (+.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 1 (/.f64 beta (+.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (/.f64 beta (+.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 1 (+.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 1 (+.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)))))))
1
(+.f64 1 (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 1 (/.f64 beta alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
1
(+.f64 1 (/.f64 beta alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 1 (/.f64 beta alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)
(+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1) 1)
(*.f64 1 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)) (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)) 2) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)))
(*.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1)))
(*.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)))))
(*.f64 (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1)) (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))) (-.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (-.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (*.f64 (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2)))) (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))))))) (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) 3) (pow.f64 (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2)))) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 (*.f64 (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2)))) (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))))) (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (+.f64 1 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))))))))
(/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))))
(/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 1 (+.f64 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) (sqrt.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))) (/.f64 (+.f64 1 (+.f64 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))) (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)))) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)))) (/.f64 (+.f64 1 (+.f64 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)))) (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) 1) (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) 1) (*.f64 (+.f64 1 (+.f64 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))) (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) 1) (*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) 3) 1) (*.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) 3) -1) (*.f64 (+.f64 1 (+.f64 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 1 (*.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) 3) -1) (*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 1 (*.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))) (neg.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) 1) (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1))) (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1)) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1)))) (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 1 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))) (-.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) 1) (+.f64 1 (+.f64 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)))))
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1) 3))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)))
(fma.f64 beta (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) 1)
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)
Outputs
1
(+.f64 1 (/.f64 beta (+.f64 2 alpha)))
(+.f64 1 (+.f64 (/.f64 beta (+.f64 2 alpha)) (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 1 (+.f64 (/.f64 beta (+.f64 2 alpha)) (neg.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 1 (-.f64 (/.f64 beta (+.f64 2 alpha)) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 1 (+.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 1 (+.f64 (/.f64 beta (+.f64 2 alpha)) (fma.f64 -1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)))))
(+.f64 1 (+.f64 (/.f64 beta (+.f64 2 alpha)) (-.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 1 (+.f64 (-.f64 (/.f64 beta (+.f64 2 alpha)) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 alpha) beta)))
(-.f64 2 (/.f64 (+.f64 2 alpha) beta))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 2 (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta))))
(+.f64 2 (-.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)) (/.f64 (+.f64 2 alpha) beta)))
(+.f64 (-.f64 2 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)))
(+.f64 2 (+.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 2 (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)))))
(+.f64 2 (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (+.f64 2 alpha) beta)))
(+.f64 (-.f64 2 (/.f64 (+.f64 2 alpha) beta)) (-.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
2
(+.f64 2 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 2 (neg.f64 (/.f64 (+.f64 2 alpha) beta)))
(-.f64 2 (/.f64 (+.f64 2 alpha) beta))
(+.f64 2 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))
(+.f64 2 (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta))))
(+.f64 2 (-.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)) (/.f64 (+.f64 2 alpha) beta)))
(+.f64 (-.f64 2 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)))
(+.f64 2 (+.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 2 (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)))))
(+.f64 2 (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))) (/.f64 (+.f64 2 alpha) beta)))
(+.f64 (-.f64 2 (/.f64 (+.f64 2 alpha) beta)) (-.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
(+.f64 1 (/.f64 beta (+.f64 beta 2)))
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(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 3))) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 2) (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 2 alpha))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 2) (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 2 alpha))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 3)) (+.f64 1 (*.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) (+.f64 -1 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (/.f64 (neg.f64 beta) (+.f64 beta (+.f64 alpha 2))) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)))))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 3))) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 2) (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 2 alpha))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha))) 2) (-.f64 1 (/.f64 beta (+.f64 beta (+.f64 2 alpha))))))
(/.f64 (+.f64 1 (pow.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) 3)) (+.f64 1 (*.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha))) (+.f64 -1 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))))))
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1) 1)
(+.f64 1 (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 1 (/.f64 beta (+.f64 2 (+.f64 beta alpha))))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(+.f64 1 (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 1 (/.f64 beta (+.f64 2 (+.f64 beta alpha))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)) 3)
(+.f64 1 (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 1 (/.f64 beta (+.f64 2 (+.f64 beta alpha))))
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1) 3) 1/3)
(+.f64 1 (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 1 (/.f64 beta (+.f64 2 (+.f64 beta alpha))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1) 2))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))) 2))
(fabs.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))))
(fabs.f64 (+.f64 1 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))))
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)))
(+.f64 1 (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 1 (/.f64 beta (+.f64 2 (+.f64 beta alpha))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1))))
(+.f64 1 (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 1 (/.f64 beta (+.f64 2 (+.f64 beta alpha))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1) 3))
(+.f64 1 (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 1 (/.f64 beta (+.f64 2 (+.f64 beta alpha))))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 beta (+.f64 beta (+.f64 2 alpha))))))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 beta (+.f64 2 (+.f64 beta alpha))))))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 beta (+.f64 2 alpha)))))
(exp.f64 (log1p.f64 (/.f64 beta (+.f64 2 (+.f64 beta alpha)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)))
(+.f64 1 (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 1 (/.f64 beta (+.f64 2 (+.f64 beta alpha))))
(fma.f64 beta (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) 1)
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1)
(+.f64 1 (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 1 (/.f64 beta (+.f64 2 (+.f64 beta alpha))))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)
(+.f64 1 (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 1 (/.f64 beta (+.f64 2 (+.f64 beta alpha))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 1)
(+.f64 1 (/.f64 beta (+.f64 beta (+.f64 2 alpha))))
(+.f64 1 (/.f64 beta (+.f64 2 (+.f64 beta alpha))))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite80.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1616×add-sqr-sqrt
1600×*-un-lft-identity
1496×add-cube-cbrt
1480×add-cbrt-cube
148×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114713
2195413
Stop Event
node limit
Counts
1 → 32
Calls
Call 1
Inputs
(/.f64 (+.f64 1 beta) alpha)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 beta) alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 beta) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 beta)) (*.f64 (sqrt.f64 (+.f64 1 beta)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) alpha)) (sqrt.f64 (/.f64 (+.f64 1 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (*.f64 (cbrt.f64 (+.f64 1 beta)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (+.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 beta)) (/.f64 1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 1 beta) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 1 beta) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 beta)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 1 beta)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 beta) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 beta) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (+.f64 1 beta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 beta) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 beta) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 beta) (log.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) alpha)))))))

simplify60.0ms (0.7%)

Algorithm
egg-herbie
Rules
1050×associate-+r+
1032×associate-+l+
714×fma-def
700×*-commutative
574×associate-+r-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0901064
12161056
2837756
33350756
46143756
Stop Event
node limit
Counts
56 → 40
Calls
Call 1
Inputs
(/.f64 1 alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 beta) alpha))) 1)
(*.f64 1 (/.f64 (+.f64 1 beta) alpha))
(*.f64 (+.f64 1 beta) (/.f64 1 alpha))
(*.f64 (/.f64 (+.f64 1 beta) alpha) 1)
(*.f64 (sqrt.f64 (+.f64 1 beta)) (*.f64 (sqrt.f64 (+.f64 1 beta)) (/.f64 1 alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) alpha)) (sqrt.f64 (/.f64 (+.f64 1 beta) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (*.f64 (cbrt.f64 (+.f64 1 beta)) (/.f64 1 alpha)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)))
(*.f64 (/.f64 1 alpha) (+.f64 1 beta))
(*.f64 (+.f64 -1 (neg.f64 beta)) (/.f64 1 (neg.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 1 beta) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 1 beta) (cbrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (cbrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 beta)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 1 beta)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)))
(pow.f64 (/.f64 (+.f64 1 beta) alpha) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) alpha)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 beta) alpha) 3) 1/3)
(pow.f64 (/.f64 alpha (+.f64 1 beta)) -1)
(neg.f64 (/.f64 (+.f64 1 beta) (neg.f64 alpha)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) alpha) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 beta) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 beta) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) alpha) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) alpha)))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 alpha)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 alpha)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) alpha)))
Outputs
(/.f64 1 alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(/.f64 (+.f64 beta 1) alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(/.f64 (+.f64 beta 1) alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(/.f64 (+.f64 beta 1) alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(/.f64 (+.f64 beta 1) alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(/.f64 (+.f64 beta 1) alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(/.f64 (+.f64 beta 1) alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(/.f64 (+.f64 beta 1) alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(/.f64 (+.f64 beta 1) alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(/.f64 (+.f64 beta 1) alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(/.f64 (+.f64 beta 1) alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(/.f64 (+.f64 beta 1) alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(/.f64 (+.f64 beta 1) alpha)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 beta) alpha))) 1)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 1 (/.f64 (+.f64 1 beta) alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (+.f64 1 beta) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (/.f64 (+.f64 1 beta) alpha) 1)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (sqrt.f64 (+.f64 1 beta)) (*.f64 (sqrt.f64 (+.f64 1 beta)) (/.f64 1 alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) alpha)) (sqrt.f64 (/.f64 (+.f64 1 beta) alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (*.f64 (cbrt.f64 (+.f64 1 beta)) (/.f64 1 alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) 2))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (/.f64 1 alpha) (+.f64 1 beta))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (+.f64 -1 (neg.f64 beta)) (/.f64 1 (neg.f64 alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 1 beta) (sqrt.f64 alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 1 beta) (cbrt.f64 alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (cbrt.f64 alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 beta)) alpha))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 1 beta)) (sqrt.f64 alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (pow.f64 (cbrt.f64 alpha) 2)))
(pow.f64 (/.f64 (+.f64 1 beta) alpha) 1)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) alpha)) 2)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) 3)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 beta) alpha) 3) 1/3)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(pow.f64 (/.f64 alpha (+.f64 1 beta)) -1)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(neg.f64 (/.f64 (+.f64 1 beta) (neg.f64 alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) alpha) 2))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(log.f64 (exp.f64 (/.f64 (+.f64 1 beta) alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 beta) alpha))))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) alpha) 3))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 alpha)))
(/.f64 (exp.f64 (log1p.f64 beta)) alpha)
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 alpha)) 1))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 alpha)))
(/.f64 (exp.f64 (log1p.f64 beta)) alpha)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)

localize8.0ms (0.1%)

Compiler

Compiled 21 to 17 computations (19% saved)

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))
0.3b
(/.f64 4 (*.f64 alpha alpha))
Compiler

Compiled 50 to 31 computations (38% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite99.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1278×associate-/r*
928×*-commutative
550×associate-/l*
430×distribute-lft-in
424×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0938
121032
2300832
Stop Event
node limit
Counts
2 → 239
Calls
Call 1
Inputs
(/.f64 4 (*.f64 alpha alpha))
(-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))
Outputs
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simplify170.0ms (2.1%)

Algorithm
egg-herbie
Rules
1208×fma-def
868×associate-*r*
744×associate-/r*
724×associate-/l*
666×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061111197
1176310119
Stop Event
node limit
Counts
263 → 326
Calls
Call 1
Inputs
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (pow.f64 alpha 2))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(/.f64 -2 alpha)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(/.f64 -2 alpha)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 alpha) alpha))) 1)
(*.f64 4 (pow.f64 alpha -2))
(*.f64 4 (*.f64 (/.f64 1 alpha) (/.f64 1 alpha)))
(*.f64 (/.f64 (/.f64 4 alpha) alpha) 1)
(*.f64 2 (*.f64 (/.f64 2 alpha) (/.f64 1 alpha)))
(*.f64 (/.f64 2 alpha) (/.f64 2 alpha))
(*.f64 1 (/.f64 (/.f64 4 alpha) alpha))
(*.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 (/.f64 2 alpha) (sqrt.f64 (/.f64 2 alpha))))
(*.f64 (cbrt.f64 (/.f64 2 alpha)) (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 2 alpha))))
(*.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)))
(*.f64 (/.f64 4 alpha) (/.f64 1 alpha))
(*.f64 (pow.f64 alpha -2) 4)
(*.f64 (/.f64 1 alpha) (/.f64 4 alpha))
(*.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 2 alpha)))
(*.f64 -4 (/.f64 (/.f64 -1 alpha) alpha))
(*.f64 (*.f64 (/.f64 1 alpha) (/.f64 1 alpha)) 4)
(*.f64 (*.f64 (/.f64 2 alpha) (sqrt.f64 (/.f64 2 alpha))) (sqrt.f64 (/.f64 2 alpha)))
(*.f64 (*.f64 2 (/.f64 2 alpha)) (/.f64 1 alpha))
(*.f64 (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))) (cbrt.f64 (/.f64 2 alpha)))
(*.f64 (*.f64 (/.f64 2 alpha) (/.f64 1 alpha)) 2)
(*.f64 (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 2 alpha))) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 4 (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 (/.f64 -1 alpha) alpha) -4)
(*.f64 (/.f64 (/.f64 2 alpha) alpha) 2)
(*.f64 (/.f64 (/.f64 2 alpha) (sqrt.f64 alpha)) (/.f64 2 (sqrt.f64 alpha)))
(*.f64 (/.f64 (/.f64 2 alpha) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 2 (cbrt.f64 alpha)))
(*.f64 (/.f64 (/.f64 2 alpha) (neg.f64 alpha)) -2)
(pow.f64 (/.f64 (/.f64 4 alpha) alpha) 1)
(pow.f64 (/.f64 2 alpha) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) 3)
(pow.f64 (*.f64 (/.f64 alpha 4) alpha) -1)
(pow.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) 1/3)
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(/.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (*.f64 (pow.f64 alpha -2) -4))) (cbrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (*.f64 (pow.f64 alpha -2) -4)))) (/.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)) (cbrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (*.f64 (pow.f64 alpha -2) -4)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (/.f64 8 (pow.f64 alpha 3)))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (/.f64 8 (pow.f64 alpha 3))))) (/.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 8 (pow.f64 alpha 3)))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (/.f64 8 (pow.f64 alpha 3))))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 alpha (-.f64 4 (*.f64 alpha 2)))) (cbrt.f64 (*.f64 alpha (-.f64 4 (*.f64 alpha 2))))) (/.f64 (pow.f64 alpha 3) (cbrt.f64 (*.f64 alpha (-.f64 4 (*.f64 alpha 2))))))
(/.f64 (/.f64 (*.f64 alpha (-.f64 4 (*.f64 alpha 2))) (*.f64 alpha alpha)) alpha)
(/.f64 (*.f64 (/.f64 16 (pow.f64 alpha 4)) (-.f64 (/.f64 16 (pow.f64 alpha 4)) 1)) (*.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 16 (pow.f64 alpha 4)))))
(/.f64 (-.f64 (*.f64 (*.f64 4 alpha) (*.f64 4 alpha)) (*.f64 (*.f64 alpha (*.f64 alpha 2)) (*.f64 alpha (*.f64 alpha 2)))) (*.f64 (pow.f64 alpha 3) (*.f64 alpha (+.f64 4 (*.f64 alpha 2)))))
(/.f64 (*.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (-.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) 1)) (*.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 8 (pow.f64 alpha 3)))) (+.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (/.f64 8 (pow.f64 alpha 3)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (pow.f64 (/.f64 -2 alpha) 3)) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (-.f64 (neg.f64 (*.f64 (pow.f64 alpha -2) -4)) (/.f64 -8 (pow.f64 alpha 3)))))
(/.f64 (+.f64 (pow.f64 (/.f64 16 (pow.f64 alpha 4)) 3) (*.f64 -64 (pow.f64 (pow.f64 alpha -2) 3))) (*.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)) (+.f64 (*.f64 (/.f64 16 (pow.f64 alpha 4)) (/.f64 16 (pow.f64 alpha 4))) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3)))))
(/.f64 (-.f64 (pow.f64 (*.f64 4 alpha) 3) (pow.f64 (*.f64 alpha (*.f64 alpha 2)) 3)) (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 (*.f64 4 alpha) (*.f64 4 alpha)) (*.f64 (*.f64 alpha (*.f64 alpha 2)) (*.f64 alpha (+.f64 4 (*.f64 alpha 2)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) 3) (pow.f64 (/.f64 8 (pow.f64 alpha 3)) 3)) (*.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 8 (pow.f64 alpha 3)))) (+.f64 (*.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3)) (*.f64 (/.f64 8 (pow.f64 alpha 3)) (+.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (/.f64 8 (pow.f64 alpha 3)))))))
(/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)
(/.f64 (-.f64 (*.f64 4 (*.f64 alpha 1/2)) (*.f64 alpha alpha)) (*.f64 (*.f64 alpha alpha) (*.f64 alpha 1/2)))
(/.f64 (-.f64 alpha (*.f64 2 (*.f64 (/.f64 alpha 4) alpha))) (*.f64 alpha (*.f64 (/.f64 alpha 4) alpha)))
(/.f64 (-.f64 (*.f64 alpha 1/2) (*.f64 (/.f64 alpha 4) alpha)) (*.f64 (*.f64 (/.f64 alpha 4) alpha) (*.f64 alpha 1/2)))
(/.f64 (+.f64 (neg.f64 alpha) (*.f64 (*.f64 (*.f64 alpha alpha) -1/4) -2)) (*.f64 (*.f64 (/.f64 alpha 4) alpha) (neg.f64 alpha)))
(/.f64 (-.f64 (*.f64 alpha (/.f64 4 alpha)) (*.f64 alpha 2)) (*.f64 alpha alpha))
(/.f64 (-.f64 (*.f64 (/.f64 4 alpha) (*.f64 alpha 1/2)) alpha) (*.f64 alpha (*.f64 alpha 1/2)))
(/.f64 (-.f64 (*.f64 (/.f64 4 alpha) (neg.f64 alpha)) (*.f64 alpha -2)) (*.f64 alpha (neg.f64 alpha)))
(/.f64 (+.f64 (*.f64 alpha -4) (*.f64 alpha (*.f64 alpha 2))) (neg.f64 (pow.f64 alpha 3)))
(/.f64 (+.f64 (*.f64 (*.f64 alpha 1/2) -4) (*.f64 alpha alpha)) (*.f64 (*.f64 alpha 1/2) (*.f64 alpha (neg.f64 alpha))))
(/.f64 (+.f64 (*.f64 -4 (neg.f64 alpha)) (*.f64 (*.f64 alpha alpha) -2)) (neg.f64 (neg.f64 (pow.f64 alpha 3))))
(/.f64 (neg.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (*.f64 (pow.f64 alpha -2) -4))) (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (/.f64 8 (pow.f64 alpha 3)))) (neg.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 8 (pow.f64 alpha 3))))))
(/.f64 (neg.f64 (*.f64 alpha (-.f64 4 (*.f64 alpha 2)))) (neg.f64 (pow.f64 alpha 3)))
(/.f64 (/.f64 (*.f64 alpha (-.f64 4 (*.f64 alpha 2))) alpha) (*.f64 alpha alpha))
(/.f64 (/.f64 (*.f64 alpha (-.f64 4 (*.f64 alpha 2))) 1) (pow.f64 alpha 3))
(/.f64 (/.f64 (*.f64 alpha (-.f64 4 (*.f64 alpha 2))) (cbrt.f64 (pow.f64 alpha 4))) (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (*.f64 alpha (-.f64 4 (*.f64 alpha 2))) (*.f64 alpha (sqrt.f64 alpha))) (*.f64 alpha (sqrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (*.f64 (pow.f64 alpha -2) -4)) 1) (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)))
(/.f64 (/.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (*.f64 (pow.f64 alpha -2) -4)) (sqrt.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)))) (sqrt.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (*.f64 (pow.f64 alpha -2) -4)) (*.f64 (cbrt.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))) (cbrt.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))))) (cbrt.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (/.f64 8 (pow.f64 alpha 3))) 1) (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 8 (pow.f64 alpha 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (/.f64 8 (pow.f64 alpha 3))) (sqrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 8 (pow.f64 alpha 3)))))) (sqrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 8 (pow.f64 alpha 3))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (/.f64 8 (pow.f64 alpha 3))) (*.f64 (cbrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 8 (pow.f64 alpha 3))))) (cbrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 8 (pow.f64 alpha 3))))))) (cbrt.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 8 (pow.f64 alpha 3))))))
(/.f64 (/.f64 (*.f64 alpha (-.f64 4 (*.f64 alpha 2))) (sqrt.f64 (pow.f64 alpha 3))) (sqrt.f64 (pow.f64 alpha 3)))
(/.f64 (/.f64 (*.f64 alpha (-.f64 4 (*.f64 alpha 2))) (*.f64 (*.f64 alpha alpha) (sqrt.f64 alpha))) (sqrt.f64 alpha))
(/.f64 (/.f64 (*.f64 alpha (-.f64 4 (*.f64 alpha 2))) (*.f64 (*.f64 alpha alpha) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 4 (*.f64 alpha 2))) (*.f64 alpha alpha)) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 4 (*.f64 alpha 2))) (*.f64 alpha alpha)) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 4 (*.f64 alpha 2))) (*.f64 alpha alpha)) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(/.f64 (/.f64 (/.f64 (*.f64 alpha (-.f64 4 (*.f64 alpha 2))) (*.f64 alpha alpha)) (sqrt.f64 (cbrt.f64 (pow.f64 alpha 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) 1) alpha)
(/.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(/.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))
(/.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) (sqrt.f64 (cbrt.f64 (pow.f64 alpha 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (-.f64 (*.f64 4 (*.f64 alpha 1/2)) (*.f64 alpha alpha)) (*.f64 alpha alpha)) (*.f64 alpha 1/2))
(/.f64 (/.f64 (neg.f64 (*.f64 alpha (-.f64 4 (*.f64 alpha 2)))) (*.f64 alpha alpha)) (neg.f64 alpha))
(/.f64 (/.f64 (-.f64 alpha (*.f64 2 (*.f64 (/.f64 alpha 4) alpha))) (*.f64 (/.f64 alpha 4) alpha)) alpha)
(/.f64 (/.f64 (-.f64 (*.f64 alpha 1/2) (*.f64 (/.f64 alpha 4) alpha)) (*.f64 (/.f64 alpha 4) alpha)) (*.f64 alpha 1/2))
(/.f64 (/.f64 (+.f64 (neg.f64 alpha) (*.f64 (*.f64 (*.f64 alpha alpha) -1/4) -2)) (*.f64 (/.f64 alpha 4) alpha)) (neg.f64 alpha))
(/.f64 (/.f64 (-.f64 (*.f64 alpha (/.f64 4 alpha)) (*.f64 alpha 2)) alpha) alpha)
(/.f64 (/.f64 (-.f64 (*.f64 alpha (/.f64 4 alpha)) (*.f64 alpha 2)) 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (-.f64 (*.f64 alpha (/.f64 4 alpha)) (*.f64 alpha 2)) (sqrt.f64 alpha)) (*.f64 alpha (sqrt.f64 alpha)))
(/.f64 (/.f64 (-.f64 (*.f64 alpha (/.f64 4 alpha)) (*.f64 alpha 2)) (cbrt.f64 (pow.f64 alpha 4))) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (/.f64 (-.f64 (*.f64 alpha (/.f64 4 alpha)) (*.f64 alpha 2)) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (pow.f64 alpha 4)))
(/.f64 (/.f64 (-.f64 (*.f64 alpha (/.f64 4 alpha)) (*.f64 alpha 2)) (pow.f64 (cbrt.f64 alpha) 2)) (*.f64 alpha (cbrt.f64 alpha)))
(/.f64 (/.f64 (-.f64 (*.f64 alpha (/.f64 4 alpha)) (*.f64 alpha 2)) (*.f64 alpha (sqrt.f64 alpha))) (sqrt.f64 alpha))
(/.f64 (/.f64 (-.f64 (*.f64 alpha (/.f64 4 alpha)) (*.f64 alpha 2)) (*.f64 alpha (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 4 alpha) (*.f64 alpha 1/2)) alpha) alpha) (*.f64 alpha 1/2))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 4 alpha) (neg.f64 alpha)) (*.f64 alpha -2)) alpha) (neg.f64 alpha))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 4 alpha) (neg.f64 alpha)) (*.f64 alpha -2)) 1) (*.f64 alpha (neg.f64 alpha)))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 4 alpha) (neg.f64 alpha)) (*.f64 alpha -2)) (cbrt.f64 (pow.f64 alpha 4))) (neg.f64 (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 4 alpha) (neg.f64 alpha)) (*.f64 alpha -2)) (neg.f64 alpha)) alpha)
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 4 alpha) (neg.f64 alpha)) (*.f64 alpha -2)) (sqrt.f64 (*.f64 alpha (neg.f64 alpha)))) (sqrt.f64 (*.f64 alpha (neg.f64 alpha))))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 4 alpha) (neg.f64 alpha)) (*.f64 alpha -2)) (*.f64 (cbrt.f64 (*.f64 alpha (neg.f64 alpha))) (cbrt.f64 (*.f64 alpha (neg.f64 alpha))))) (cbrt.f64 (*.f64 alpha (neg.f64 alpha))))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 4 alpha) (neg.f64 alpha)) (*.f64 alpha -2)) -1) (*.f64 alpha alpha))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 4 alpha) (neg.f64 alpha)) (*.f64 alpha -2)) (neg.f64 (cbrt.f64 (pow.f64 alpha 4)))) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (/.f64 (+.f64 (*.f64 alpha -4) (*.f64 alpha (*.f64 alpha 2))) (*.f64 alpha (neg.f64 alpha))) alpha)
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 alpha 1/2) -4) (*.f64 alpha alpha)) (*.f64 alpha (neg.f64 alpha))) (*.f64 alpha 1/2))
(/.f64 (/.f64 (+.f64 (*.f64 -4 (neg.f64 alpha)) (*.f64 (*.f64 alpha alpha) -2)) (*.f64 alpha (neg.f64 alpha))) (neg.f64 alpha))
(pow.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (*.f64 (pow.f64 alpha -2) -4)) (neg.f64 (fma.f64 4 (pow.f64 alpha -2) (/.f64 2 alpha)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 alpha) alpha) 3) (/.f64 8 (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 16 (pow.f64 alpha 4)) (+.f64 (/.f64 (/.f64 4 alpha) alpha) (/.f64 8 (pow.f64 alpha 3)))))))
(neg.f64 (/.f64 (*.f64 alpha (-.f64 4 (*.f64 alpha 2))) (neg.f64 (pow.f64 alpha 3))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)))
(exp.f64 (log.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)))
(fma.f64 4 (pow.f64 alpha -2) (/.f64 -2 alpha))
(fma.f64 (/.f64 2 alpha) (/.f64 2 alpha) (/.f64 -2 alpha))
(fma.f64 1 (/.f64 (/.f64 4 alpha) alpha) (/.f64 -2 alpha))
(fma.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (/.f64 -2 alpha))
Outputs
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(/.f64 4 (pow.f64 alpha 2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 -2 alpha)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 -2 alpha)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 alpha) alpha))) 1)
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(*.f64 4 (pow.f64 alpha -2))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(*.f64 4 (*.f64 (/.f64 1 alpha) (/.f64 1 alpha)))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(*.f64 (/.f64 (/.f64 4 alpha) alpha) 1)
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(*.f64 2 (*.f64 (/.f64 2 alpha) (/.f64 1 alpha)))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(*.f64 (/.f64 2 alpha) (/.f64 2 alpha))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(*.f64 1 (/.f64 (/.f64 4 alpha) alpha))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(*.f64 (sqrt.f64 (/.f64 2 alpha)) (*.f64 (/.f64 2 alpha) (sqrt.f64 (/.f64 2 alpha))))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(*.f64 (cbrt.f64 (/.f64 2 alpha)) (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha))))
(*.f64 (/.f64 2 alpha) (*.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (cbrt.f64 (/.f64 2 alpha))))
(*.f64 (/.f64 2 alpha) (*.f64 (cbrt.f64 (/.f64 2 alpha)) (cbrt.f64 (pow.f64 (/.f64 2 alpha) 2))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 2 alpha) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (*.f64 (/.f64 2 alpha) (cbrt.f64 (/.f64 2 alpha))))
(*.f64 (/.f64 2 alpha) (*.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (cbrt.f64 (/.f64 2 alpha))))
(*.f64 (/.f64 2 alpha) (*.f64 (cbrt.f64 (/.f64 2 alpha)) (cbrt.f64 (pow.f64 (/.f64 2 alpha) 2))))
(*.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 2 alpha) 2)) (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))))
(*.f64 (/.f64 4 alpha) (/.f64 1 alpha))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(*.f64 (pow.f64 alpha -2) 4)
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
(*.f64 (/.f64 1 alpha) (/.f64 4 alpha))
(/.f64 (/.f64 4 alpha) alpha)
(pow.f64 (/.f64 2 alpha) 2)
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(fma.f64 (cbrt.f64 (/.f64 16 (pow.f64 alpha 4))) (cbrt.f64 (/.f64 (/.f64 4 alpha) alpha)) (/.f64 -2 alpha))
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eval466.0ms (5.7%)

Compiler

Compiled 16925 to 12642 computations (25.3% saved)

prune165.0ms (2%)

Pruning

18 alts after pruning (10 fresh and 8 done)

PrunedKeptTotal
New6426648
Fresh246
Picked011
Done178
Total64518663
Error
0.0b
Counts
663 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
47.4b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2)
13.6b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
43.0b
(/.f64 (-.f64 (+.f64 1 (/.f64 (-.f64 -2 alpha) beta)) -1) 2)
43.0b
(/.f64 (-.f64 2 (/.f64 (+.f64 2 alpha) beta)) 2)
32.1b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
14.0b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
15.5b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
34.7b
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
47.4b
(/.f64 (+.f64 1 beta) alpha)
51.4b
(/.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)) 2)
51.4b
(/.f64 (*.f64 -1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))) 2)
60.4b
(/.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha) 3))) 2)
58.5b
(/.f64 beta alpha)
38.0b
(/.f64 2 2)
50.4b
(/.f64 1 alpha)
32.1b
(/.f64 1 2)
47.4b
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
47.4b
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) alpha))
Compiler

Compiled 318 to 253 computations (20.4% saved)

localize3.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize3.0ms (0%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize37.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 alpha (+.f64 alpha 2))
1.2b
(-.f64 1 (/.f64 alpha (+.f64 alpha 2)))
Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite114.0ms (1.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify113.0ms (1.4%)

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

Useful iterations: 2 (0.0ms)

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

localize14.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)
Compiler

Compiled 41 to 32 computations (22% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
alpha
@-inf
(/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)
0.0ms
alpha
@0
(/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)
0.0ms
alpha
@inf
(/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)

rewrite333.0ms (4.1%)

Algorithm
batch-egg-rewrite
Rules
1454×associate-*l/
1274×associate-/r*
978×associate-/l*
822×*-commutative
416×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
118619
2249219
Stop Event
node limit
Counts
1 → 59
Calls
Call 1
Inputs
(/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (/.f64 1 alpha) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (/.f64 -2 alpha) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 alpha) -2) (/.f64 4 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 4 alpha) -2) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) (sqrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (*.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 alpha) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 alpha) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (/.f64 -4 alpha)) (/.f64 -1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (/.f64 1 alpha)) (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) (/.f64 1 alpha)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 (/.f64 4 alpha) -2) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 (/.f64 4 alpha) -2) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 alpha) (+.f64 2 (/.f64 -4 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) alpha) (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) alpha) (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (pow.f64 (cbrt.f64 alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) alpha) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) (sqrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) alpha) (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2))) (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (/.f64 16 (*.f64 alpha alpha)) -4) (/.f64 1 alpha)) (+.f64 (/.f64 16 (*.f64 alpha alpha)) -4)) (+.f64 (/.f64 4 alpha) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (/.f64 16 (*.f64 alpha alpha)) -4) (/.f64 1 alpha)) (+.f64 8 (/.f64 64 (pow.f64 alpha 3)))) (+.f64 (/.f64 16 (*.f64 alpha alpha)) (-.f64 4 (/.f64 8 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 1 alpha) (+.f64 (/.f64 64 (pow.f64 alpha 3)) -8)) (-.f64 (/.f64 (/.f64 64 (pow.f64 alpha 3)) (*.f64 alpha 1/4)) (*.f64 (+.f64 4 (/.f64 8 alpha)) (+.f64 4 (/.f64 8 alpha))))) (-.f64 (/.f64 16 (*.f64 alpha alpha)) (+.f64 4 (/.f64 8 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 1 alpha) (+.f64 (/.f64 64 (pow.f64 alpha 3)) -8)) (+.f64 (pow.f64 (/.f64 16 (*.f64 alpha alpha)) 3) (pow.f64 (+.f64 4 (/.f64 8 alpha)) 3))) (+.f64 (/.f64 (/.f64 64 (pow.f64 alpha 3)) (*.f64 alpha 1/4)) (*.f64 (+.f64 4 (/.f64 8 alpha)) (-.f64 (+.f64 4 (/.f64 8 alpha)) (/.f64 16 (*.f64 alpha alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (+.f64 (/.f64 4 alpha) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) (neg.f64 alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 (/.f64 4 alpha) -2) (/.f64 -1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (+.f64 (/.f64 4 alpha) -2) (neg.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))))))

simplify80.0ms (1%)

Algorithm
egg-herbie
Rules
1256×associate-*r/
888×associate-*l/
764×associate-/l*
742×distribute-lft-in
702×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01652203
14552157
216591781
376051781
Stop Event
node limit
Counts
71 → 78
Calls
Call 1
Inputs
(/.f64 4 (pow.f64 alpha 2))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(/.f64 -2 alpha)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(/.f64 -2 alpha)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 alpha))
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (/.f64 1 alpha) -2))
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (/.f64 -2 alpha) 1))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (*.f64 (/.f64 1 alpha) -2) (/.f64 4 (*.f64 alpha alpha)))
(-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha))) 1)
(*.f64 (+.f64 (/.f64 4 alpha) -2) (/.f64 1 alpha))
(*.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha) 1)
(*.f64 1 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) (sqrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (*.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (/.f64 1 alpha)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) (/.f64 1 alpha)))
(*.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 alpha) -2))
(*.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 alpha) 1))
(*.f64 (+.f64 2 (/.f64 -4 alpha)) (/.f64 -1 alpha))
(*.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (/.f64 1 alpha)) (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) (/.f64 1 alpha)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2))
(*.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 (/.f64 4 alpha) -2) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 (/.f64 4 alpha) -2) (cbrt.f64 alpha)))
(*.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 -1 alpha) (+.f64 2 (/.f64 -4 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) alpha) (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) alpha) (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) 1))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (cbrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) alpha))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) alpha) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) (sqrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) alpha) (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)))
(*.f64 (/.f64 1 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2))) (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)))
(*.f64 (/.f64 (*.f64 (+.f64 (/.f64 16 (*.f64 alpha alpha)) -4) (/.f64 1 alpha)) (+.f64 (/.f64 16 (*.f64 alpha alpha)) -4)) (+.f64 (/.f64 4 alpha) -2))
(*.f64 (/.f64 (*.f64 (+.f64 (/.f64 16 (*.f64 alpha alpha)) -4) (/.f64 1 alpha)) (+.f64 8 (/.f64 64 (pow.f64 alpha 3)))) (+.f64 (/.f64 16 (*.f64 alpha alpha)) (-.f64 4 (/.f64 8 alpha))))
(*.f64 (/.f64 (*.f64 (/.f64 1 alpha) (+.f64 (/.f64 64 (pow.f64 alpha 3)) -8)) (-.f64 (/.f64 (/.f64 64 (pow.f64 alpha 3)) (*.f64 alpha 1/4)) (*.f64 (+.f64 4 (/.f64 8 alpha)) (+.f64 4 (/.f64 8 alpha))))) (-.f64 (/.f64 16 (*.f64 alpha alpha)) (+.f64 4 (/.f64 8 alpha))))
(*.f64 (/.f64 (*.f64 (/.f64 1 alpha) (+.f64 (/.f64 64 (pow.f64 alpha 3)) -8)) (+.f64 (pow.f64 (/.f64 16 (*.f64 alpha alpha)) 3) (pow.f64 (+.f64 4 (/.f64 8 alpha)) 3))) (+.f64 (/.f64 (/.f64 64 (pow.f64 alpha 3)) (*.f64 alpha 1/4)) (*.f64 (+.f64 4 (/.f64 8 alpha)) (-.f64 (+.f64 4 (/.f64 8 alpha)) (/.f64 16 (*.f64 alpha alpha))))))
(pow.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha) 3) 1/3)
(pow.f64 (/.f64 alpha (+.f64 (/.f64 4 alpha) -2)) -1)
(neg.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) (neg.f64 alpha)))
(neg.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))
(neg.f64 (*.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) (neg.f64 alpha)) 1))
(neg.f64 (*.f64 (+.f64 (/.f64 4 alpha) -2) (/.f64 -1 alpha)))
(neg.f64 (*.f64 1 (/.f64 (+.f64 (/.f64 4 alpha) -2) (neg.f64 alpha))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))
(exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))
Outputs
(/.f64 4 (pow.f64 alpha 2))
(/.f64 4 (*.f64 alpha alpha))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 -2 alpha)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(/.f64 -2 alpha)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 -2 alpha))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (/.f64 1 alpha) -2))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(+.f64 (/.f64 4 (*.f64 alpha alpha)) (*.f64 (/.f64 -2 alpha) 1))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(+.f64 (*.f64 (/.f64 1 alpha) -2) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha))) 1)
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (+.f64 (/.f64 4 alpha) -2) (/.f64 1 alpha))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha) 1)
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 1 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) (sqrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (*.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (/.f64 1 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) 2))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (/.f64 4 alpha))) 2) (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (cbrt.f64 (/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 -2 (/.f64 4 alpha))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) (/.f64 1 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 alpha) -2))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (/.f64 2 alpha) (-.f64 (/.f64 2 alpha) 1))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (+.f64 2 (/.f64 -4 alpha)) (/.f64 -1 alpha))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (/.f64 1 alpha)) (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) (/.f64 1 alpha)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) (sqrt.f64 alpha)) (/.f64 1 (sqrt.f64 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 (/.f64 4 alpha) -2) (sqrt.f64 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 (/.f64 4 alpha) -2) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 -2 (/.f64 4 alpha)) (cbrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 -2 (/.f64 4 alpha)) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) (cbrt.f64 alpha)) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 -2 (/.f64 4 alpha)) (cbrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 -2 (/.f64 4 alpha)) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 -1 alpha) (+.f64 2 (/.f64 -4 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) alpha))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) alpha) (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) alpha) (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) 1))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 -2 (/.f64 4 alpha)) (cbrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 -2 (/.f64 4 alpha)) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (cbrt.f64 alpha)) (/.f64 (sqrt.f64 (+.f64 (/.f64 4 alpha) -2)) (pow.f64 (cbrt.f64 alpha) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 -2 (/.f64 4 alpha)) (cbrt.f64 alpha)))
(/.f64 (/.f64 (+.f64 -2 (/.f64 4 alpha)) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) alpha))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) alpha) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) 1))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) (sqrt.f64 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) (sqrt.f64 alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) (sqrt.f64 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (/.f64 4 alpha))) 2) (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (cbrt.f64 (/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (pow.f64 (cbrt.f64 (+.f64 -2 (/.f64 4 alpha))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2) alpha) (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (/.f64 1 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)) 2))) (cbrt.f64 (+.f64 (/.f64 4 alpha) -2)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (/.f64 (*.f64 (+.f64 (/.f64 16 (*.f64 alpha alpha)) -4) (/.f64 1 alpha)) (+.f64 (/.f64 16 (*.f64 alpha alpha)) -4)) (+.f64 (/.f64 4 alpha) -2))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(*.f64 (/.f64 (*.f64 (+.f64 (/.f64 16 (*.f64 alpha alpha)) -4) (/.f64 1 alpha)) (+.f64 8 (/.f64 64 (pow.f64 alpha 3)))) (+.f64 (/.f64 16 (*.f64 alpha alpha)) (-.f64 4 (/.f64 8 alpha))))
(*.f64 (/.f64 (+.f64 -4 (/.f64 16 (*.f64 alpha alpha))) (/.f64 (+.f64 8 (/.f64 64 (pow.f64 alpha 3))) (/.f64 1 alpha))) (+.f64 (/.f64 16 (*.f64 alpha alpha)) (-.f64 4 (/.f64 8 alpha))))
(/.f64 (*.f64 (/.f64 (+.f64 -4 (/.f64 (/.f64 16 alpha) alpha)) alpha) (+.f64 4 (+.f64 (/.f64 -8 alpha) (/.f64 (/.f64 16 alpha) alpha)))) (+.f64 8 (/.f64 64 (pow.f64 alpha 3))))
(/.f64 (+.f64 -4 (/.f64 (/.f64 16 alpha) alpha)) (*.f64 (/.f64 (+.f64 8 (/.f64 64 (pow.f64 alpha 3))) (+.f64 4 (+.f64 (/.f64 (/.f64 16 alpha) alpha) (/.f64 -8 alpha)))) alpha))
(*.f64 (/.f64 (*.f64 (/.f64 1 alpha) (+.f64 (/.f64 64 (pow.f64 alpha 3)) -8)) (-.f64 (/.f64 (/.f64 64 (pow.f64 alpha 3)) (*.f64 alpha 1/4)) (*.f64 (+.f64 4 (/.f64 8 alpha)) (+.f64 4 (/.f64 8 alpha))))) (-.f64 (/.f64 16 (*.f64 alpha alpha)) (+.f64 4 (/.f64 8 alpha))))
(*.f64 (/.f64 (*.f64 (/.f64 1 alpha) (+.f64 (/.f64 64 (pow.f64 alpha 3)) -8)) (-.f64 (/.f64 64 (*.f64 (*.f64 alpha 1/4) (pow.f64 alpha 3))) (*.f64 (+.f64 4 (/.f64 8 alpha)) (+.f64 4 (/.f64 8 alpha))))) (-.f64 (/.f64 16 (*.f64 alpha alpha)) (+.f64 4 (/.f64 8 alpha))))
(*.f64 (/.f64 (+.f64 (/.f64 64 (pow.f64 alpha 3)) -8) (*.f64 (+.f64 (/.f64 64 (*.f64 (pow.f64 alpha 3) (*.f64 alpha 1/4))) (*.f64 (+.f64 4 (/.f64 8 alpha)) (+.f64 -4 (/.f64 -8 alpha)))) alpha)) (+.f64 (/.f64 (/.f64 16 alpha) alpha) (+.f64 -4 (/.f64 -8 alpha))))
(*.f64 (/.f64 (+.f64 (/.f64 64 (pow.f64 alpha 3)) -8) (*.f64 alpha (fma.f64 (+.f64 4 (/.f64 8 alpha)) (+.f64 -4 (/.f64 -8 alpha)) (/.f64 256 (*.f64 alpha (pow.f64 alpha 3)))))) (+.f64 -4 (+.f64 (/.f64 (/.f64 16 alpha) alpha) (/.f64 -8 alpha))))
(*.f64 (/.f64 (*.f64 (/.f64 1 alpha) (+.f64 (/.f64 64 (pow.f64 alpha 3)) -8)) (+.f64 (pow.f64 (/.f64 16 (*.f64 alpha alpha)) 3) (pow.f64 (+.f64 4 (/.f64 8 alpha)) 3))) (+.f64 (/.f64 (/.f64 64 (pow.f64 alpha 3)) (*.f64 alpha 1/4)) (*.f64 (+.f64 4 (/.f64 8 alpha)) (-.f64 (+.f64 4 (/.f64 8 alpha)) (/.f64 16 (*.f64 alpha alpha))))))
(*.f64 (/.f64 (/.f64 1 alpha) (/.f64 (+.f64 (/.f64 4096 (pow.f64 (*.f64 alpha alpha) 3)) (pow.f64 (+.f64 4 (/.f64 8 alpha)) 3)) (+.f64 (/.f64 64 (pow.f64 alpha 3)) -8))) (+.f64 (/.f64 64 (*.f64 (*.f64 alpha 1/4) (pow.f64 alpha 3))) (*.f64 (+.f64 4 (/.f64 8 alpha)) (+.f64 4 (-.f64 (/.f64 8 alpha) (/.f64 16 (*.f64 alpha alpha)))))))
(*.f64 (/.f64 (+.f64 (/.f64 64 (pow.f64 alpha 3)) -8) (*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 16 alpha) alpha) 3) (pow.f64 (+.f64 4 (/.f64 8 alpha)) 3)) alpha)) (fma.f64 (+.f64 4 (/.f64 8 alpha)) (+.f64 4 (-.f64 (/.f64 8 alpha) (/.f64 (/.f64 16 alpha) alpha))) (/.f64 64 (*.f64 (pow.f64 alpha 3) (*.f64 alpha 1/4)))))
(*.f64 (/.f64 (/.f64 (+.f64 (/.f64 64 (pow.f64 alpha 3)) -8) alpha) (+.f64 (/.f64 4096 (pow.f64 alpha 6)) (pow.f64 (+.f64 4 (/.f64 8 alpha)) 3))) (fma.f64 (+.f64 4 (/.f64 8 alpha)) (+.f64 (/.f64 8 alpha) (+.f64 4 (/.f64 (/.f64 -16 alpha) alpha))) (/.f64 256 (*.f64 alpha (pow.f64 alpha 3)))))
(pow.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha) 1)
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) 2)
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)) 3)
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha) 3) 1/3)
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(pow.f64 (/.f64 alpha (+.f64 (/.f64 4 alpha) -2)) -1)
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(neg.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) (neg.f64 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(neg.f64 (/.f64 (+.f64 2 (/.f64 -4 alpha)) alpha))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(neg.f64 (*.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) (neg.f64 alpha)) 1))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(neg.f64 (*.f64 (+.f64 (/.f64 4 alpha) -2) (/.f64 -1 alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(neg.f64 (*.f64 1 (/.f64 (+.f64 (/.f64 4 alpha) -2) (neg.f64 alpha))))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha) 2))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha))))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha) 3))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 4 alpha) -2) alpha)))
(+.f64 (/.f64 -2 alpha) (/.f64 4 (*.f64 alpha alpha)))
(/.f64 (+.f64 -2 (/.f64 4 alpha)) alpha)

localize23.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 57 to 36 computations (36.8% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite108.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1868×distribute-lft-in
1258×associate-/r/
758×associate-/l/
382×+-commutative
330×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01250
130250
2483250
Stop Event
node limit
Counts
2 → 170
Calls
Call 1
Inputs
(/.f64 (-.f64 -2 beta) alpha)
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha))
Outputs
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(+.f64 beta 2) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta 2) alpha))))))

simplify115.0ms (1.4%)

Algorithm
egg-herbie
Rules
778×associate-*r*
696×+-commutative
664×associate-*l*
636×*-commutative
618×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055313812
1187912862
Stop Event
node limit
Counts
218 → 319
Calls
Call 1
Inputs
(/.f64 -2 alpha)
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 -1 (/.f64 beta alpha))
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 -1 (/.f64 beta alpha))
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(/.f64 2 alpha)
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (*.f64 2 (/.f64 1 alpha)))
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 2 (/.f64 1 alpha)))))
(/.f64 beta alpha)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(/.f64 beta alpha)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(/.f64 (+.f64 beta 2) alpha)
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 beta (pow.f64 alpha 2)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha))))))
(/.f64 (-.f64 beta (*.f64 -1 (+.f64 beta 2))) alpha)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 beta alpha)) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)))
(-.f64 (+.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 -1 (/.f64 (+.f64 beta 2) alpha)))
(-.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 beta alpha) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))) (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha))
(+.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 (*.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 (*.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 -1 (/.f64 (-.f64 (*.f64 -1 beta) (+.f64 beta 2)) alpha)) (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))
(+.f64 (/.f64 -2 alpha) (neg.f64 (/.f64 beta alpha)))
(+.f64 (/.f64 -2 alpha) (*.f64 1 (neg.f64 (/.f64 beta alpha))))
(+.f64 (/.f64 -2 alpha) (*.f64 (/.f64 1 alpha) (neg.f64 beta)))
(+.f64 (/.f64 -2 alpha) (*.f64 (/.f64 1 alpha) (*.f64 (neg.f64 beta) 1)))
(+.f64 (neg.f64 (/.f64 beta alpha)) (/.f64 -2 alpha))
(+.f64 (*.f64 (/.f64 1 alpha) (neg.f64 beta)) (/.f64 -2 alpha))
(-.f64 (/.f64 -2 alpha) (/.f64 beta alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -2 beta) alpha))) 1)
(*.f64 (-.f64 -2 beta) (/.f64 1 alpha))
(*.f64 (/.f64 (-.f64 -2 beta) alpha) 1)
(*.f64 1 (/.f64 (-.f64 -2 beta) alpha))
(*.f64 (sqrt.f64 (-.f64 -2 beta)) (*.f64 (sqrt.f64 (-.f64 -2 beta)) (/.f64 1 alpha)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (*.f64 (cbrt.f64 (-.f64 -2 beta)) (/.f64 1 alpha)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2) (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)))
(*.f64 (/.f64 1 alpha) (-.f64 -2 beta))
(*.f64 (+.f64 beta 2) (/.f64 1 (neg.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 -2 beta) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (-.f64 -2 beta) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (neg.f64 alpha)) (+.f64 beta 2))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) 1) (/.f64 (sqrt.f64 (-.f64 -2 beta)) alpha))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) alpha) (sqrt.f64 (-.f64 -2 beta)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -2 beta)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (-.f64 -2 beta)) (cbrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -2 beta)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (-.f64 -2 beta)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)))
(*.f64 (/.f64 1 (/.f64 alpha (sqrt.f64 (-.f64 -2 beta)))) (sqrt.f64 (-.f64 -2 beta)))
(*.f64 (/.f64 1 (/.f64 alpha (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2))) (cbrt.f64 (-.f64 -2 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -2 beta)) 2) alpha) (cbrt.f64 (-.f64 -2 beta)))
(*.f64 (/.f64 (*.f64 (-.f64 4 (*.f64 beta beta)) (/.f64 1 alpha)) (-.f64 4 (*.f64 beta beta))) (-.f64 -2 beta))
(*.f64 (/.f64 (*.f64 (-.f64 4 (*.f64 beta beta)) (/.f64 1 alpha)) (+.f64 -8 (pow.f64 beta 3))) (+.f64 4 (-.f64 (*.f64 beta beta) (*.f64 -2 beta))))
(*.f64 (/.f64 (*.f64 (-.f64 -8 (pow.f64 beta 3)) (/.f64 1 alpha)) (-.f64 16 (*.f64 (*.f64 beta (+.f64 -2 beta)) (*.f64 beta (+.f64 -2 beta))))) (-.f64 4 (*.f64 beta (+.f64 -2 beta))))
(*.f64 (/.f64 (*.f64 (-.f64 -8 (pow.f64 beta 3)) (/.f64 1 alpha)) (+.f64 64 (pow.f64 (*.f64 beta (+.f64 -2 beta)) 3))) (+.f64 16 (-.f64 (*.f64 (*.f64 beta (+.f64 -2 beta)) (*.f64 beta (+.f64 -2 beta))) (*.f64 4 (*.f64 beta (+.f64 -2 beta))))))
(pow.f64 (/.f64 (-.f64 -2 beta) alpha) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) alpha)) 3)
(pow.f64 (/.f64 alpha (-.f64 -2 beta)) -1)
(pow.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3) 1/3)
(neg.f64 (/.f64 (-.f64 -2 beta) (neg.f64 alpha)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -2 beta) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -2 beta) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -2 beta) alpha)))
(exp.f64 (log.f64 (/.f64 (-.f64 -2 beta) alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -2 beta) alpha)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -2 beta) alpha)))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 (+.f64 beta 2) alpha) 1))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (+.f64 beta 2) alpha) (fma.f64 (neg.f64 (/.f64 1 alpha)) (-.f64 -2 beta) (/.f64 (-.f64 -2 beta) alpha))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) 1) (fma.f64 (neg.f64 (/.f64 1 alpha)) (-.f64 -2 beta) (/.f64 (-.f64 -2 beta) alpha))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (/.f64 (+.f64 beta 2) alpha) (fma.f64 (/.f64 (+.f64 beta 2) alpha) 1 (/.f64 (-.f64 -2 beta) alpha))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) 1) (fma.f64 (/.f64 (+.f64 beta 2) alpha) 1 (/.f64 (-.f64 -2 beta) alpha))))
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(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2)) (+.f64 (*.f64 (neg.f64 beta) (neg.f64 alpha)) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 beta 2)))) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 alpha)))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3)) (-.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (*.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))))) (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) 3) (pow.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) 3))) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 -2 beta) alpha) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))) (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))))))
(*.f64 (/.f64 (+.f64 (*.f64 beta alpha) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -2 beta))) (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) alpha)) (-.f64 (+.f64 -2 beta) alpha))
(*.f64 (/.f64 (+.f64 (*.f64 beta alpha) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -2 beta))) (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) alpha)) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))) (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3))))
(/.f64 1 (/.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 beta alpha) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -2 beta)))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2)) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (+.f64 (*.f64 beta alpha) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -2 beta))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 (*.f64 beta alpha) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -2 beta))) (+.f64 beta (+.f64 alpha 2))) alpha)
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta 2) alpha))) (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (*.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3))) (*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3))))
(/.f64 (-.f64 (*.f64 (*.f64 beta alpha) (*.f64 beta alpha)) (*.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 alpha 2))) (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 alpha 2))))) (*.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 beta alpha) (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (*.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2))) (*.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (+.f64 beta 2) alpha) 3)) (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 beta 2) alpha)) (*.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) 3) (pow.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))))) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3)) (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3))))))
(/.f64 (-.f64 (pow.f64 (*.f64 beta alpha) 3) (pow.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 alpha 2))) 3)) (*.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 (*.f64 beta alpha) (*.f64 beta alpha)) (+.f64 (*.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 alpha 2))) (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (*.f64 beta alpha) (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 alpha 2))))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) 3) (pow.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2) 3)) (*.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2)) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2)) (*.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2))))))
(/.f64 (-.f64 (*.f64 beta (/.f64 alpha (-.f64 -2 beta))) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 alpha (-.f64 -2 beta))))
(/.f64 (-.f64 (*.f64 beta (neg.f64 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 alpha)))
(/.f64 (-.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (-.f64 -2 beta))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha))
(/.f64 (-.f64 (/.f64 alpha (-.f64 -2 beta)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) 1)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (/.f64 alpha (-.f64 -2 beta))))
(/.f64 (-.f64 (neg.f64 alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (+.f64 beta 2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (neg.f64 alpha)))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) alpha) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -2 beta))) (*.f64 (-.f64 -2 (+.f64 beta alpha)) alpha))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (/.f64 alpha (-.f64 -2 beta))) (*.f64 (-.f64 -2 (+.f64 beta alpha)) 1)) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 alpha (-.f64 -2 beta))))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (neg.f64 alpha)) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 beta 2))) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 alpha)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2))) (neg.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))))
(/.f64 (neg.f64 (+.f64 (*.f64 beta alpha) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -2 beta)))) (neg.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(exp.f64 (log.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta 2) alpha))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta 2) alpha))
Outputs
(/.f64 -2 alpha)
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 -1 (/.f64 beta alpha))
(/.f64 (neg.f64 beta) alpha)
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 -1 (/.f64 beta alpha))
(/.f64 (neg.f64 beta) alpha)
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(-.f64 (*.f64 -1 (/.f64 beta alpha)) (*.f64 2 (/.f64 1 alpha)))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(*.f64 -1 (/.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 (neg.f64 beta) alpha) (/.f64 2 alpha))
(/.f64 (-.f64 -2 beta) alpha)
(/.f64 2 alpha)
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (*.f64 2 (/.f64 1 alpha)))
(fma.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 2))) (/.f64 2 alpha))
(+.f64 (+.f64 (/.f64 2 alpha) (/.f64 beta (+.f64 alpha 2))) (/.f64 beta alpha))
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 2 (/.f64 1 alpha))))
(fma.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 2))) (fma.f64 -1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 2 alpha)))
(+.f64 (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 2 alpha) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))))
(+.f64 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 alpha))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 2 (/.f64 1 alpha)))))
(fma.f64 beta (+.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 2))) (fma.f64 -1 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 (/.f64 2 alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))))
(+.f64 (+.f64 (/.f64 beta alpha) (/.f64 beta (+.f64 alpha 2))) (+.f64 (-.f64 (/.f64 2 alpha) (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))))
(/.f64 beta alpha)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha)))
(+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 2 alpha)))
(+.f64 (/.f64 beta alpha) (+.f64 1 (/.f64 2 alpha)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha))))
(+.f64 1 (+.f64 (/.f64 2 alpha) (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 beta alpha))))
(+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (+.f64 alpha 2) beta)) (+.f64 1 (/.f64 2 alpha)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(+.f64 1 (+.f64 (/.f64 2 alpha) (+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 beta alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))))
(+.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (+.f64 alpha 2) beta)) (+.f64 1 (/.f64 2 alpha))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))
(/.f64 beta alpha)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (/.f64 beta alpha)))
(+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 2 alpha)))
(+.f64 (/.f64 beta alpha) (+.f64 1 (/.f64 2 alpha)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 beta alpha))))
(+.f64 1 (+.f64 (/.f64 2 alpha) (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 beta alpha))))
(+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (+.f64 alpha 2) beta)) (+.f64 1 (/.f64 2 alpha)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))))))
(+.f64 1 (+.f64 (/.f64 2 alpha) (+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 2) beta) (/.f64 beta alpha)) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))))
(+.f64 (+.f64 (-.f64 (/.f64 beta alpha) (/.f64 (+.f64 alpha 2) beta)) (+.f64 1 (/.f64 2 alpha))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 beta beta)))
(/.f64 (+.f64 beta 2) alpha)
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (+.f64 beta 2)) (*.f64 2 (/.f64 1 alpha))))
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 2 alpha) (/.f64 beta (+.f64 beta 2))))
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(/.f64 (-.f64 (*.f64 (*.f64 beta alpha) (*.f64 beta alpha)) (*.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 alpha 2))) (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 alpha 2))))) (*.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 beta alpha) (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (*.f64 (fma.f64 beta alpha (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 alpha beta) (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 alpha 2))))) (*.f64 alpha (*.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 beta alpha (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 alpha 2)))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 4) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 4)) (*.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2) (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2))))
(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 4) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 4)) (*.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (+.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2))))
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(/.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 6) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 6)) (*.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (+.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 4) (*.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2) (+.f64 (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2))))))
(/.f64 (-.f64 (*.f64 beta (/.f64 alpha (-.f64 -2 beta))) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 alpha (-.f64 -2 beta))))
(/.f64 (-.f64 (*.f64 beta (/.f64 alpha (-.f64 -2 beta))) (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 alpha (-.f64 -2 beta)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 (fma.f64 beta (/.f64 alpha (-.f64 -2 beta)) (-.f64 -2 (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))) alpha) (-.f64 -2 beta))
(/.f64 (-.f64 (*.f64 beta (neg.f64 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 alpha)))
(/.f64 (-.f64 (*.f64 alpha (neg.f64 beta)) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))) (*.f64 alpha (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 alpha beta))) (*.f64 alpha beta)) (*.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (-.f64 alpha (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (-.f64 -2 beta))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) alpha))
(/.f64 (-.f64 alpha (*.f64 (-.f64 -2 beta) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta))) (*.f64 alpha (/.f64 (+.f64 beta (+.f64 alpha 2)) beta)))
(/.f64 (+.f64 alpha (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 beta alpha)))
(/.f64 (-.f64 (/.f64 alpha (-.f64 -2 beta)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) 1)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (/.f64 alpha (-.f64 -2 beta))))
(/.f64 (-.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta)) (*.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta)))
(*.f64 (/.f64 (+.f64 (/.f64 alpha (-.f64 -2 beta)) (/.f64 (-.f64 -2 (+.f64 alpha beta)) beta)) (*.f64 (/.f64 alpha (-.f64 -2 beta)) (+.f64 alpha (+.f64 beta 2)))) beta)
(/.f64 (-.f64 (neg.f64 alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (+.f64 beta 2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) beta) (neg.f64 alpha)))
(/.f64 (-.f64 (neg.f64 alpha) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta))) (*.f64 (neg.f64 alpha) (/.f64 (+.f64 beta (+.f64 alpha 2)) beta)))
(*.f64 (/.f64 (-.f64 (neg.f64 alpha) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2)))) (*.f64 alpha (-.f64 -2 (+.f64 alpha beta)))) beta)
(/.f64 (-.f64 (*.f64 (neg.f64 beta) alpha) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -2 beta))) (*.f64 (-.f64 -2 (+.f64 beta alpha)) alpha))
(/.f64 (-.f64 (*.f64 alpha (neg.f64 beta)) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))) (*.f64 alpha (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 alpha beta))) (*.f64 alpha beta)) (*.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (/.f64 alpha (-.f64 -2 beta))) (*.f64 (-.f64 -2 (+.f64 beta alpha)) 1)) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 alpha (-.f64 -2 beta))))
(/.f64 (fma.f64 (neg.f64 beta) (/.f64 alpha (-.f64 -2 beta)) (neg.f64 (-.f64 -2 (+.f64 alpha beta)))) (*.f64 (/.f64 alpha (-.f64 -2 beta)) (-.f64 -2 (+.f64 alpha beta))))
(*.f64 (/.f64 (-.f64 (/.f64 beta (/.f64 (+.f64 beta 2) alpha)) (-.f64 -2 (+.f64 alpha beta))) (*.f64 alpha (-.f64 -2 (+.f64 alpha beta)))) (-.f64 -2 beta))
(/.f64 (-.f64 (*.f64 (neg.f64 beta) (neg.f64 alpha)) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 beta 2))) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 alpha)))
(/.f64 (-.f64 (neg.f64 (*.f64 alpha (neg.f64 beta))) (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 alpha beta)))) (*.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (fma.f64 beta alpha (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2)))) (*.f64 (neg.f64 alpha) (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2))) (neg.f64 (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 2))) (-.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (/.f64 (-.f64 -2 beta) alpha) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 (-.f64 -2 beta) alpha) 3))) (-.f64 (*.f64 (/.f64 (+.f64 beta 2) alpha) (+.f64 (/.f64 (-.f64 -2 beta) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))) (pow.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2))) 2)))
(/.f64 (neg.f64 (+.f64 (*.f64 beta alpha) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -2 beta)))) (neg.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 (*.f64 alpha (neg.f64 beta)) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))) (*.f64 alpha (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 alpha beta))) (*.f64 alpha beta)) (*.f64 alpha (-.f64 -2 (+.f64 alpha beta))))
(pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 1)
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 2)
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 3)
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 3) 1/3)
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 2))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)))))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha)) 3))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(exp.f64 (log.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))) 1))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(fma.f64 beta (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(fma.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 2) alpha))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 beta (+.f64 alpha 2))))
(+.f64 (/.f64 (+.f64 beta 2) alpha) (/.f64 beta (+.f64 alpha (+.f64 beta 2))))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta 2) alpha))
(fma.f64 (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 beta 2) alpha))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta 2) alpha))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 beta (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 beta 2) alpha))

eval465.0ms (5.7%)

Compiler

Compiled 22132 to 15856 computations (28.4% saved)

prune235.0ms (2.9%)

Pruning

18 alts after pruning (8 fresh and 10 done)

PrunedKeptTotal
New7844788
Fresh145
Picked101
Done21012
Total78818806
Error
0.0b
Counts
806 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
58.5b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 2)
13.6b
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
51.4b
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
43.0b
(/.f64 (-.f64 (+.f64 1 (/.f64 (-.f64 -2 alpha) beta)) -1) 2)
43.0b
(/.f64 (-.f64 2 (/.f64 (+.f64 2 alpha) beta)) 2)
32.1b
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
33.2b
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
14.0b
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
15.5b
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
51.2b
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
34.7b
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
47.4b
(/.f64 (+.f64 1 beta) alpha)
58.5b
(/.f64 beta alpha)
38.0b
(/.f64 2 2)
50.4b
(/.f64 1 alpha)
32.1b
(/.f64 1 2)
47.4b
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
47.4b
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) alpha))
Compiler

Compiled 199 to 156 computations (21.6% saved)

regimes163.0ms (2%)

Counts
32 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 1 alpha)
(/.f64 2 2)
(/.f64 beta alpha)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (+.f64 1 beta) alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 alpha) beta)) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 (-.f64 -2 alpha) beta)) -1) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
(/.f64 (*.f64 -1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
(/.f64 (+.f64 (/.f64 8 (pow.f64 alpha 3)) (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha)))) 2)
(/.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)) 2)) (-.f64 1 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha 2) beta)))) 2)
(/.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (neg.f64 beta) (+.f64 2 beta)) alpha) (/.f64 (+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha)))) 2)
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) alpha))
(/.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha) 3))) 2)
(/.f64 (*.f64 -1 (/.f64 1 (/.f64 (pow.f64 alpha 3) (fma.f64 (+.f64 beta (+.f64 beta -2)) (*.f64 alpha alpha) (*.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 beta beta))) alpha))))) 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 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (fma.f64 2 beta 2) alpha))) 2)
(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 3)) (+.f64 (*.f64 (/.f64 beta (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (fma.f64 -1 beta (-.f64 -2 beta)) alpha) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 beta))) (*.f64 alpha alpha))))) 2)
Outputs
(/.f64 (+.f64 1 beta) alpha)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (-.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)) 2)
Calls

5 calls:

72.0ms
beta
43.0ms
alpha
19.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
8.0ms
(/.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
4.1b2alpha
13.6b1beta
0.2b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.2b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.2b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 483 to 340 computations (29.6% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999975643689
-0.999999990567128
Compiler

Compiled 20 to 15 computations (25% saved)

regimes95.0ms (1.2%)

Counts
22 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 1 alpha)
(/.f64 2 2)
(/.f64 beta alpha)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (+.f64 1 beta) alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 alpha) beta)) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 (-.f64 -2 alpha) beta)) -1) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
(/.f64 (*.f64 -1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (neg.f64 beta) alpha)) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) (/.f64 (-.f64 -2 beta) alpha)) 2)
Outputs
(/.f64 (+.f64 1 beta) alpha)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
Calls

5 calls:

32.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
32.0ms
alpha
12.0ms
beta
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
4.1b2alpha
14.0b1beta
0.2b2(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
0.2b2(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
0.2b2(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
Compiler

Compiled 238 to 172 computations (27.7% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999975643689
-0.999999990567128
Compiler

Compiled 20 to 15 computations (25% saved)

regimes40.0ms (0.5%)

Counts
18 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 1 alpha)
(/.f64 2 2)
(/.f64 beta alpha)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (+.f64 1 beta) alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 alpha) beta)) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 (-.f64 -2 alpha) beta)) -1) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
(/.f64 (*.f64 -1 (-.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 2 alpha))) 2)
Outputs
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2)
(/.f64 (+.f64 1 beta) alpha)
Calls

2 calls:

26.0ms
alpha
10.0ms
beta
Results
ErrorSegmentsBranch
4.8b2alpha
15.5b1beta
Compiler

Compiled 144 to 109 computations (24.3% saved)

bsearch21.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
4.528204818709064e+100
5.053140074724186e+103
Results
13.0ms72×body512valid
6.0ms56×body256valid
Compiler

Compiled 196 to 151 computations (23% saved)

regimes58.0ms (0.7%)

Counts
16 → 2
Calls
Call 1
Inputs
(/.f64 1 2)
(/.f64 1 alpha)
(/.f64 2 2)
(/.f64 beta alpha)
(/.f64 (+.f64 -1 1) 2)
(/.f64 (+.f64 1 beta) alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 (+.f64 (*.f64 1/2 beta) 1) 2)
(/.f64 (-.f64 1 (*.f64 alpha 1/2)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (-.f64 1 (/.f64 alpha (+.f64 alpha 2))) 2)
(/.f64 (-.f64 2 (/.f64 (+.f64 2 alpha) beta)) 2)
(/.f64 (/.f64 (+.f64 2 (*.f64 2 beta)) alpha) 2)
(/.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 4 alpha) 2) alpha)) 2)
(/.f64 (-.f64 (+.f64 1 (/.f64 (-.f64 -2 alpha) beta)) -1) 2)
(/.f64 (-.f64 (/.f64 2 alpha) (/.f64 4 (*.f64 alpha alpha))) 2)
Outputs
(/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2)
(/.f64 (+.f64 1 beta) alpha)
Calls

2 calls:

44.0ms
alpha
8.0ms
beta
Results
ErrorSegmentsBranch
4.8b2alpha
15.5b1beta
Compiler

Compiled 120 to 92 computations (23.3% saved)

bsearch25.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
25.0ms
4.528204818709064e+100
5.053140074724186e+103
Results
17.0ms77×body512valid
6.0ms51×body256valid
Compiler

Compiled 180 to 143 computations (20.6% saved)

regimes49.0ms (0.6%)

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

2 calls:

32.0ms
alpha
15.0ms
beta
Results
ErrorSegmentsBranch
15.9b5alpha
15.7b2beta
Compiler

Compiled 51 to 38 computations (25.5% saved)

bsearch15.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
15.0ms
0.3358484595357323
14.573861684117308
Results
9.0ms93×body256valid
2.0msbody1024valid
1.0msbody512valid
1.0msbody2048valid
Compiler

Compiled 132 to 120 computations (9.1% saved)

regimes39.0ms (0.5%)

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

2 calls:

27.0ms
alpha
9.0ms
beta
Results
ErrorSegmentsBranch
16.2b5alpha
16.0b2beta
Compiler

Compiled 37 to 26 computations (29.7% saved)

bsearch23.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
23.0ms
14.573861684117308
236667274.9551997
Results
10.0ms99×body256valid
6.0ms25×body1024valid
2.0ms15×body512valid
1.0msbody2048valid
Compiler

Compiled 128 to 123 computations (3.9% saved)

regimes14.0ms (0.2%)

Accuracy

Total -39.8b remaining (-183.9%)

Threshold costs -39.8b (-183.9%)

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

2 calls:

10.0ms
alpha
3.0ms
beta
Results
ErrorSegmentsBranch
21.7b2alpha
32.1b1beta
Compiler

Compiled 14 to 11 computations (21.4% saved)

bsearch33.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
33.0ms
518.2580045405325
212024501.06867093
Results
32.0ms144×body256valid
Compiler

Compiled 128 to 114 computations (10.9% saved)

simplify11.0ms (0.1%)

Algorithm
egg-herbie
Rules
34×+-commutative
14×sub-neg
*-commutative
neg-mul-1
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054342
175342
285342
393342
498342
599342
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -2251799802426249/2251799813685248) (/.f64 (+.f64 1 beta) alpha) (/.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)) -2251799802426249/2251799813685248) (/.f64 (+.f64 1 beta) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 alpha 45999999999999998011796541932935530867213049841221825093624532092644728599446379245275962647649452032) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2) (/.f64 (+.f64 1 beta) alpha))
(if (<=.f64 alpha 45999999999999998011796541932935530867213049841221825093624532092644728599446379245275962647649452032) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (+.f64 1 beta) alpha))
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2))
(if (<=.f64 beta 8219069319951155/562949953421312) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 alpha 520) (/.f64 1 2) (/.f64 1 alpha))
(/.f64 1 2)
Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) -2251799802426249/2251799813685248) (/.f64 (+.f64 1 beta) alpha) (/.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)) -2251799802426249/2251799813685248) (/.f64 (+.f64 beta 1) alpha) (/.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)) -2251799802426249/2251799813685248) (/.f64 (+.f64 1 beta) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) -2251799802426249/2251799813685248) (/.f64 (+.f64 beta 1) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2))
(if (<=.f64 alpha 45999999999999998011796541932935530867213049841221825093624532092644728599446379245275962647649452032) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) -1) 2) (/.f64 (+.f64 1 beta) alpha))
(if (<=.f64 alpha 45999999999999998011796541932935530867213049841221825093624532092644728599446379245275962647649452032) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha 2))) 1) 2) (/.f64 (+.f64 beta 1) alpha))
(if (<=.f64 alpha 45999999999999998011796541932935530867213049841221825093624532092644728599446379245275962647649452032) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta (+.f64 alpha 2)))) 2) (/.f64 (+.f64 beta 1) alpha))
(if (<=.f64 alpha 45999999999999998011796541932935530867213049841221825093624532092644728599446379245275962647649452032) (/.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) 1) 2) (/.f64 (+.f64 1 beta) alpha))
(if (<=.f64 alpha 45999999999999998011796541932935530867213049841221825093624532092644728599446379245275962647649452032) (/.f64 (+.f64 1 (/.f64 beta (+.f64 beta 2))) 2) (/.f64 (+.f64 beta 1) alpha))
(if (<=.f64 beta 2) (/.f64 (+.f64 (*.f64 1/2 beta) 1) 2) (/.f64 2 2))
(if (<=.f64 beta 2) (/.f64 (+.f64 1 (*.f64 beta 1/2)) 2) 1)
(if (<=.f64 beta 8219069319951155/562949953421312) (/.f64 1 2) (/.f64 2 2))
(if (<=.f64 beta 8219069319951155/562949953421312) 1/2 1)
(if (<=.f64 alpha 520) (/.f64 1 2) (/.f64 1 alpha))
(if (<=.f64 alpha 520) 1/2 (/.f64 1 alpha))
(/.f64 1 2)
1/2
Compiler

Compiled 147 to 107 computations (27.2% saved)

soundness476.0ms (5.8%)

Algorithm
egg-herbie
Rules
1390×unswap-sqr
1176×associate-/r*
982×associate-/l*
982×associate-/l*
722×fma-def
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01237
12537
24137
36937
411737
525533
646333
784533
8172033
9394033
02853735
17583259
231352779
01237
12537
24137
36937
411737
525533
646333
784533
8172033
9394033
Stop Event
node limit
node limit
node limit
Compiler

Compiled 334 to 265 computations (20.7% saved)

end77.0ms (0.9%)

Compiler

Compiled 133 to 91 computations (31.6% saved)

Profiling

Loading profile data...