Details

Time bar (total: 20.5s)

analyze51.0ms (0.2%)

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

Compiled 44 to 29 computations (34.1% saved)

sample1.5s (7.2%)

Results
1.5s8256×body256valid
Bogosity

preprocess382.0ms (1.9%)

Algorithm
egg-herbie
Rules
2372×associate-/l*
1520×+-commutative
1320×distribute-lft-in
1166×*-commutative
848×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025158
164150
2160150
3656146
43490146
54307146
64616146
75113146
85554146
95567146
106057146
116356146
126610146
136872146
147571146
157590146
167597146
177604146
187611146
197618146
207625146
217632146
227654146
237661146
022
122
Stop Event
unsound
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
0
Call 2
Inputs
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 beta alpha) (*.f64 alpha beta)) 1) (+.f64 (+.f64 beta alpha) (*.f64 2 1))) (+.f64 (+.f64 beta alpha) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 beta alpha) (*.f64 2 1)) 1))
Outputs
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 (+.f64 alpha (+.f64 beta (*.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 (+.f64 1 (fma.f64 alpha beta (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (+.f64 (fma.f64 alpha beta alpha) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3))))))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 beta alpha) (*.f64 alpha beta)) 1) (+.f64 (+.f64 beta alpha) (*.f64 2 1))) (+.f64 (+.f64 beta alpha) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 beta alpha) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 1 (+.f64 alpha (+.f64 beta (*.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 (+.f64 1 (fma.f64 alpha beta (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (+.f64 (fma.f64 alpha beta alpha) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3))))))
Symmetry

(sort alpha beta)

Compiler

Compiled 39 to 26 computations (33.3% saved)

simplify680.0ms (3.3%)

Algorithm
egg-herbie
Rules
8048×associate-+r+
2246×associate-/l*
1374×*-commutative
1060×distribute-lft-in
808×+-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01679
13875
211775
349473
4261473
5331273
6357573
7402873
8444973
9446273
10469773
11482473
12496773
13526773
14593373
15613173
16615473
17616173
18616873
19617573
20618273
21618973
22619673
23620373
24734073
25734773
26735473
27736173
28736873
29737573
30738273
31738973
32739673
33740373
34741073
35741773
36742473
37743173
38743873
39744573
Stop Event
node limit
Counts
1 → 9
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
Outputs
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))

eval3.0ms (0%)

Compiler

Compiled 241 to 150 computations (37.8% saved)

prune3.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New549
Fresh101
Picked000
Done000
Total6410
Error
0.1%
Counts
10 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
7.65%
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
0.22%
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
7.66%
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
13.41%
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
Compiler

Compiled 111 to 73 computations (34.2% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(+.f64 beta (fma.f64 alpha beta 1))
0.06%
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3)))
0.12%
(*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2))
13.27%
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
Compiler

Compiled 95 to 51 computations (46.3% saved)

series17.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite158.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
684×associate-+l+
612×+-commutative
524×associate-+r+
458×add-sqr-sqrt
448×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018170
1432146
26775146
Stop Event
node limit
Counts
4 → 211
Calls
Call 1
Inputs
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
(*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2))
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3)))
(+.f64 beta (fma.f64 alpha beta 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 2) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) 2) (*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) (/.f64 1 (neg.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 2)) (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 beta (-.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (-.f64 (+.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (*.f64 (+.f64 alpha beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) 1) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) 2) (+.f64 beta (+.f64 alpha 2))) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 beta (fma.f64 alpha beta 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 beta beta) (-.f64 beta (fma.f64 alpha beta 1))) (/.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (-.f64 beta (fma.f64 alpha beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 beta (fma.f64 alpha beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta (fma.f64 alpha beta 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 beta (fma.f64 alpha beta 1))) (sqrt.f64 (+.f64 beta (fma.f64 alpha beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (cbrt.f64 (+.f64 beta (fma.f64 alpha beta 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 beta (fma.f64 alpha beta 1))) 2) (cbrt.f64 (+.f64 beta (fma.f64 alpha beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 beta beta) (pow.f64 (fma.f64 alpha beta 1) 2)) (/.f64 1 (-.f64 beta (fma.f64 alpha beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 beta (fma.f64 alpha beta 1)) (-.f64 (*.f64 beta beta) (pow.f64 (fma.f64 alpha beta 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) beta))) (+.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 alpha beta 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 beta beta) (pow.f64 (fma.f64 alpha beta 1) 2)) (-.f64 beta (fma.f64 alpha beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (fma.f64 beta beta (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (+.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (-.f64 (*.f64 beta beta) (*.f64 beta (fma.f64 alpha beta 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (*.f64 beta beta)) (-.f64 (fma.f64 alpha beta 1) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (fma.f64 alpha beta 1) 2))) (neg.f64 (-.f64 beta (fma.f64 alpha beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 alpha beta 1) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 beta (fma.f64 alpha beta 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 beta (fma.f64 alpha beta 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 beta (fma.f64 alpha beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (fma.f64 alpha beta 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 beta (fma.f64 alpha beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 beta (fma.f64 alpha beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 beta (fma.f64 alpha beta 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 beta (fma.f64 alpha beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 beta (fma.f64 alpha beta 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 alpha beta 1) beta)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 alpha beta 1)) (sqrt.f64 (fma.f64 alpha beta 1)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (fma.f64 alpha beta 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha beta 1)) 2) (cbrt.f64 (fma.f64 alpha beta 1)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (fma.f64 alpha beta 1))))))

simplify236.0ms (1.2%)

Algorithm
egg-herbie
Rules
1390×associate-*r*
1298×associate-*l*
1162×+-commutative
1026×*-commutative
786×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
083923213
1294422607
Stop Event
node limit
Counts
307 → 452
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))))))) (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) (pow.f64 alpha 2)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) (pow.f64 alpha 2)))))
(+.f64 (/.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (+.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))))) (pow.f64 alpha 5)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))) (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 5))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 5)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) (pow.f64 alpha 2))))))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))
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(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))))))) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (pow.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 alpha) 1))) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (pow.f64 beta 2))))
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(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 alpha) 1))))) (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 alpha) 1))) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (pow.f64 beta 5)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 alpha) 1))))) (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 alpha) 1))) (pow.f64 beta 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 alpha) 1))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 alpha) 1))) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 5))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (-.f64 (*.f64 -1 alpha) 1) (+.f64 3 alpha))) (pow.f64 beta 5)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (pow.f64 beta 2))))))))
(*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))) alpha))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))) alpha) (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (pow.f64 alpha 2))))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 alpha 3) (+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))) alpha) (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (pow.f64 alpha 2)))))
(pow.f64 alpha 3)
(+.f64 (pow.f64 alpha 3) (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (pow.f64 alpha 2)))
(+.f64 (pow.f64 alpha 3) (+.f64 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (pow.f64 alpha 2)) (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))) alpha)))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 alpha 3) (+.f64 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (pow.f64 alpha 2)) (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))) alpha))))
(pow.f64 alpha 3)
(+.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(+.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (pow.f64 alpha 2)) (+.f64 (pow.f64 alpha 3) (*.f64 -1 (*.f64 alpha (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (pow.f64 alpha 2)) (+.f64 (pow.f64 alpha 3) (*.f64 -1 (*.f64 alpha (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))))
(*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))
(+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (*.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))))
(+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 beta 2) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))))
(+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 (pow.f64 beta 3) (+.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 beta 2) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))))))
(pow.f64 beta 3)
(+.f64 (pow.f64 beta 3) (*.f64 (pow.f64 beta 2) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))))
(+.f64 (pow.f64 beta 3) (+.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 beta 2) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))))
(+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 (pow.f64 beta 3) (+.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 beta 2) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))))))
(pow.f64 beta 3)
(+.f64 (pow.f64 beta 3) (*.f64 (pow.f64 beta 2) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))
(+.f64 (pow.f64 beta 3) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 (pow.f64 beta 3) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(pow.f64 alpha 2)
(+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(pow.f64 alpha 2)
(+.f64 (pow.f64 alpha 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) alpha)))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) alpha))))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) alpha))))
(*.f64 (+.f64 2 alpha) (+.f64 3 alpha))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (*.f64 beta (+.f64 5 (*.f64 2 alpha))))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 2))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 2)))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 2)))
1
(+.f64 1 (*.f64 (+.f64 1 alpha) beta))
(+.f64 1 (*.f64 (+.f64 1 alpha) beta))
(+.f64 1 (*.f64 (+.f64 1 alpha) beta))
(*.f64 (+.f64 1 alpha) beta)
(+.f64 1 (*.f64 (+.f64 1 alpha) beta))
(+.f64 1 (*.f64 (+.f64 1 alpha) beta))
(+.f64 1 (*.f64 (+.f64 1 alpha) beta))
(*.f64 -1 (*.f64 beta (-.f64 (*.f64 -1 alpha) 1)))
(+.f64 1 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 -1 alpha) 1))))
(+.f64 1 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 -1 alpha) 1))))
(+.f64 1 (*.f64 -1 (*.f64 beta (-.f64 (*.f64 -1 alpha) 1))))
(+.f64 beta 1)
(+.f64 beta (+.f64 1 (*.f64 beta alpha)))
(+.f64 beta (+.f64 1 (*.f64 beta alpha)))
(+.f64 beta (+.f64 1 (*.f64 beta alpha)))
(*.f64 beta alpha)
(+.f64 beta (+.f64 1 (*.f64 beta alpha)))
(+.f64 beta (+.f64 1 (*.f64 beta alpha)))
(+.f64 beta (+.f64 1 (*.f64 beta alpha)))
(*.f64 beta alpha)
(+.f64 beta (+.f64 1 (*.f64 beta alpha)))
(+.f64 beta (+.f64 1 (*.f64 beta alpha)))
(+.f64 beta (+.f64 1 (*.f64 beta alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))) 1)
(*.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(*.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(*.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
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(+.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)))
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)) (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(+.f64 (*.f64 alpha beta) (+.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3))))
(+.f64 (*.f64 alpha beta) (+.f64 (*.f64 (+.f64 beta 2) beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3))))
(+.f64 (*.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))) (*.f64 3 (+.f64 beta (+.f64 alpha 2))))
(+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta 3))) (*.f64 2 (+.f64 alpha (+.f64 beta 3))))
(+.f64 (*.f64 2 (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta 3))))
(+.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha beta)) (*.f64 (+.f64 alpha (+.f64 beta 3)) 2))
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) 3))
(+.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) 2) (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha beta)))
(+.f64 (*.f64 (+.f64 alpha beta) beta) (+.f64 (*.f64 2 beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3))))
(+.f64 (*.f64 beta (+.f64 alpha beta)) (+.f64 (*.f64 beta 2) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3))))
(+.f64 (*.f64 beta 2) (+.f64 (*.f64 beta (+.f64 alpha beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3))))
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha) (+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) 3) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 (+.f64 alpha 3) alpha) (+.f64 (*.f64 (+.f64 alpha 3) (+.f64 beta 2)) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 (+.f64 alpha 3) (+.f64 alpha beta)) (+.f64 (*.f64 (+.f64 alpha 3) 2) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 (+.f64 alpha 3) 2) (+.f64 (*.f64 (+.f64 alpha 3) (+.f64 alpha beta)) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) 3) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha beta)))
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) 3) (+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) alpha) (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta 2)))
(+.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 beta 3)) alpha))
(+.f64 (*.f64 2 beta) (+.f64 (*.f64 (+.f64 alpha beta) beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3))))
(+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 3 (+.f64 beta (+.f64 alpha 2))) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 alpha (+.f64 alpha 3)) (+.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha 3)) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha 3)) (+.f64 (*.f64 2 (+.f64 alpha 3)) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 2 (+.f64 alpha 3)) (+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha 3)) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 3 (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))))
(+.f64 (*.f64 3 (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) 1) (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)) 1))
(+.f64 (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)) 1) (*.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) 1))
(+.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))))
(+.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))) (*.f64 alpha (+.f64 alpha (+.f64 beta 3))))
(+.f64 (+.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) 3))
(+.f64 (+.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 alpha 3) alpha)) (*.f64 (+.f64 alpha 3) (+.f64 beta 2)))
(+.f64 (+.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 alpha 3) (+.f64 alpha beta))) (*.f64 (+.f64 alpha 3) 2))
(+.f64 (+.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 alpha 3) 2)) (*.f64 (+.f64 alpha 3) (+.f64 alpha beta)))
(+.f64 (+.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) 3)) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha))
(+.f64 (+.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (*.f64 3 (+.f64 beta (+.f64 alpha 2))))
(+.f64 (+.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 alpha 3))) (*.f64 (+.f64 beta 2) (+.f64 alpha 3)))
(+.f64 (+.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 alpha beta) (+.f64 alpha 3))) (*.f64 2 (+.f64 alpha 3)))
(+.f64 (+.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 2 (+.f64 alpha 3))) (*.f64 (+.f64 alpha beta) (+.f64 alpha 3)))
(+.f64 (+.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 3 (+.f64 beta (+.f64 alpha 2)))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(+.f64 (+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)) (*.f64 alpha beta)) (*.f64 beta (+.f64 beta 2)))
(+.f64 (+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)) (*.f64 alpha beta)) (*.f64 (+.f64 beta 2) beta))
(+.f64 (+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)) (*.f64 (+.f64 alpha beta) beta)) (*.f64 2 beta))
(+.f64 (+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)) (*.f64 beta (+.f64 alpha beta))) (*.f64 beta 2))
(+.f64 (+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)) (*.f64 beta 2)) (*.f64 beta (+.f64 alpha beta)))
(+.f64 (+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)) (*.f64 2 beta)) (*.f64 (+.f64 alpha beta) beta))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))))) 1)
(/.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2))) (-.f64 beta (+.f64 alpha 3)))
(/.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 3) (-.f64 (+.f64 alpha 3) beta))))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 beta (-.f64 alpha 2)))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (-.f64 (+.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (*.f64 (+.f64 alpha beta) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (-.f64 alpha 2)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 alpha (+.f64 beta 3))) (-.f64 (+.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (*.f64 (+.f64 alpha beta) 2)))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 beta (+.f64 alpha 2))) (-.f64 beta (+.f64 alpha 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (+.f64 beta (+.f64 alpha 2))) (fma.f64 beta beta (*.f64 (+.f64 alpha 3) (-.f64 (+.f64 alpha 3) beta))))
(/.f64 (-.f64 (*.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))) (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)))) (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3))))
(/.f64 (+.f64 (pow.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)) 3)) (+.f64 (*.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3))) (*.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2))) (*.f64 (+.f64 beta (-.f64 alpha 2)) (-.f64 beta (+.f64 alpha 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3))) (*.f64 (+.f64 beta (-.f64 alpha 2)) (fma.f64 beta beta (*.f64 (+.f64 alpha 3) (-.f64 (+.f64 alpha 3) beta)))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2))) (*.f64 (-.f64 (+.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (*.f64 (+.f64 alpha beta) 2)) (-.f64 beta (+.f64 alpha 3))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3))) (*.f64 (-.f64 (+.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (*.f64 (+.f64 alpha beta) 2)) (fma.f64 beta beta (*.f64 (+.f64 alpha 3) (-.f64 (+.f64 alpha 3) beta)))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (*.f64 (-.f64 beta (+.f64 alpha 3)) (+.f64 beta (-.f64 alpha 2))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (*.f64 (-.f64 beta (+.f64 alpha 3)) (-.f64 (+.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (*.f64 (+.f64 alpha beta) 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 3) (-.f64 (+.f64 alpha 3) beta))) (+.f64 beta (-.f64 alpha 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 3) (-.f64 (+.f64 alpha 3) beta))) (-.f64 (+.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (*.f64 (+.f64 alpha beta) 2))))
(pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))
(exp.f64 (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))
(fma.f64 beta (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)))
(fma.f64 (+.f64 beta (+.f64 alpha 2)) beta (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 beta (fma.f64 alpha beta 1)))) 1)
(-.f64 (/.f64 (*.f64 beta beta) (-.f64 beta (fma.f64 alpha beta 1))) (/.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (-.f64 beta (fma.f64 alpha beta 1))))
(*.f64 1 (+.f64 beta (fma.f64 alpha beta 1)))
(*.f64 (+.f64 beta (fma.f64 alpha beta 1)) 1)
(*.f64 (sqrt.f64 (+.f64 beta (fma.f64 alpha beta 1))) (sqrt.f64 (+.f64 beta (fma.f64 alpha beta 1))))
(*.f64 (cbrt.f64 (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (cbrt.f64 (+.f64 beta (fma.f64 alpha beta 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (fma.f64 alpha beta 1))) 2) (cbrt.f64 (+.f64 beta (fma.f64 alpha beta 1))))
(*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (fma.f64 alpha beta 1) 2)) (/.f64 1 (-.f64 beta (fma.f64 alpha beta 1))))
(*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) beta)))))
(/.f64 1 (/.f64 (-.f64 beta (fma.f64 alpha beta 1)) (-.f64 (*.f64 beta beta) (pow.f64 (fma.f64 alpha beta 1) 2))))
(/.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) beta))) (+.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 alpha beta 1) 3))))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (fma.f64 alpha beta 1) 2)) (-.f64 beta (fma.f64 alpha beta 1)))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (fma.f64 beta beta (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) beta))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (+.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (-.f64 (*.f64 beta beta) (*.f64 beta (fma.f64 alpha beta 1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (*.f64 beta beta)) (-.f64 (fma.f64 alpha beta 1) beta))
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (fma.f64 alpha beta 1) 2))) (neg.f64 (-.f64 beta (fma.f64 alpha beta 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 alpha beta 1) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) beta)))))
(pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 1)
(pow.f64 (sqrt.f64 (+.f64 beta (fma.f64 alpha beta 1))) 2)
(pow.f64 (cbrt.f64 (+.f64 beta (fma.f64 alpha beta 1))) 3)
(pow.f64 (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 2))
(log.f64 (exp.f64 (+.f64 beta (fma.f64 alpha beta 1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (fma.f64 alpha beta 1)))))
(cbrt.f64 (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 3))
(expm1.f64 (log1p.f64 (+.f64 beta (fma.f64 alpha beta 1))))
(exp.f64 (log.f64 (+.f64 beta (fma.f64 alpha beta 1))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (fma.f64 alpha beta 1))) 1))
(log1p.f64 (expm1.f64 (+.f64 beta (fma.f64 alpha beta 1))))
(fma.f64 1 beta (fma.f64 alpha beta 1))
(fma.f64 1 (fma.f64 alpha beta 1) beta)
(fma.f64 (sqrt.f64 (fma.f64 alpha beta 1)) (sqrt.f64 (fma.f64 alpha beta 1)) beta)
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (fma.f64 alpha beta 1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha beta 1)) 2) (cbrt.f64 (fma.f64 alpha beta 1)) beta)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (fma.f64 alpha beta 1))
Outputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 alpha (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))))))
(+.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 alpha (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (+.f64 beta 1))))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
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(pow.f64 alpha 3)
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(pow.f64 alpha 3)
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(pow.f64 beta 3)
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(pow.f64 beta 3)
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(*.f64 (+.f64 beta 3) (+.f64 beta 2))
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(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (+.f64 (*.f64 beta 2) 5)))
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(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 (*.f64 beta 2) 5))))
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(fma.f64 (+.f64 beta 3) (+.f64 beta 2) (+.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 (*.f64 beta 2) 5))))
(+.f64 (*.f64 alpha alpha) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 alpha (+.f64 (*.f64 beta 2) 5))))
(pow.f64 alpha 2)
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1
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(/.f64 (+.f64 3 (+.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))
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(/.f64 (+.f64 (+.f64 beta 3) alpha) (/.f64 (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 2 (+.f64 beta alpha)))) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))))
(/.f64 (+.f64 3 (+.f64 beta alpha)) (/.f64 (-.f64 (+.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (*.f64 2 (+.f64 beta alpha))) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 beta (+.f64 alpha 2))) (-.f64 beta (+.f64 alpha 3)))
(/.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (-.f64 (-.f64 beta alpha) 3) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 3 alpha) 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (+.f64 beta (+.f64 alpha 2))) (fma.f64 beta beta (*.f64 (+.f64 alpha 3) (-.f64 (+.f64 alpha 3) beta))))
(/.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (fma.f64 beta beta (*.f64 (+.f64 3 alpha) (+.f64 alpha (-.f64 3 beta)))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 3))))
(/.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (fma.f64 beta beta (*.f64 (+.f64 3 alpha) (+.f64 3 (-.f64 alpha beta)))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 3))))
(/.f64 (-.f64 (*.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))) (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)))) (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3))))
(/.f64 (-.f64 (*.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2))) (-.f64 (*.f64 beta (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 3 alpha))))
(/.f64 (-.f64 (*.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (*.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (-.f64 (*.f64 beta (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 3 alpha))))
(/.f64 (+.f64 (pow.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)) 3)) (+.f64 (*.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3))) (*.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3))))))
(/.f64 (+.f64 (pow.f64 (*.f64 beta (+.f64 beta (+.f64 2 alpha))) 3) (pow.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 3 alpha)) 3)) (+.f64 (*.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (*.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 3 alpha)) (-.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 3 alpha)) (*.f64 beta (+.f64 beta (+.f64 2 alpha)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 beta (+.f64 beta (+.f64 2 alpha))) 3) (pow.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 3 alpha)) 3)) (+.f64 (*.f64 (*.f64 beta beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (-.f64 (*.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (*.f64 beta (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 3 alpha))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2))) (*.f64 (+.f64 beta (-.f64 alpha 2)) (-.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (+.f64 alpha -2))) (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 3 alpha) 2)) (-.f64 (-.f64 beta alpha) 3)))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 3 alpha) 2)) (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (-.f64 (-.f64 beta alpha) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3))) (*.f64 (+.f64 beta (-.f64 alpha 2)) (fma.f64 beta beta (*.f64 (+.f64 alpha 3) (-.f64 (+.f64 alpha 3) beta)))))
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 3)) (fma.f64 beta beta (*.f64 (+.f64 3 alpha) (+.f64 alpha (-.f64 3 beta))))) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (+.f64 alpha -2))))
(/.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 3)) (/.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (fma.f64 beta beta (*.f64 (+.f64 3 alpha) (+.f64 3 (-.f64 alpha beta)))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2))) (*.f64 (-.f64 (+.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (*.f64 (+.f64 alpha beta) 2)) (-.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 2 (+.f64 beta alpha))))) (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 3 alpha) 2)) (-.f64 (-.f64 beta alpha) 3)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 (-.f64 (+.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (*.f64 2 (+.f64 beta alpha))) (-.f64 (-.f64 beta alpha) 3)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3))) (*.f64 (-.f64 (+.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (*.f64 (+.f64 alpha beta) 2)) (fma.f64 beta beta (*.f64 (+.f64 alpha 3) (-.f64 (+.f64 alpha 3) beta)))))
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 3)) (fma.f64 beta beta (*.f64 (+.f64 3 alpha) (+.f64 alpha (-.f64 3 beta))))) (/.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 2 (+.f64 beta alpha))))))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (/.f64 (fma.f64 beta beta (*.f64 (+.f64 3 alpha) (+.f64 3 (-.f64 alpha beta)))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 3)))) (-.f64 (+.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (*.f64 2 (+.f64 beta alpha))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (*.f64 (-.f64 beta (+.f64 alpha 3)) (+.f64 beta (-.f64 alpha 2))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (+.f64 alpha -2))) (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 3 alpha) 2)) (-.f64 (-.f64 beta alpha) 3)))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 3 alpha) 2)) (/.f64 (+.f64 beta (+.f64 alpha -2)) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (-.f64 (-.f64 beta alpha) 3))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (*.f64 (-.f64 beta (+.f64 alpha 3)) (-.f64 (+.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (*.f64 (+.f64 alpha beta) 2))))
(*.f64 (/.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 2 (+.f64 beta alpha))))) (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 3 alpha) 2)) (-.f64 (-.f64 beta alpha) 3)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 (-.f64 (+.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (*.f64 2 (+.f64 beta alpha))) (-.f64 (-.f64 beta alpha) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 3) (-.f64 (+.f64 alpha 3) beta))) (+.f64 beta (-.f64 alpha 2))))
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 3)) (fma.f64 beta beta (*.f64 (+.f64 3 alpha) (+.f64 alpha (-.f64 3 beta))))) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (+.f64 alpha -2))))
(/.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 3)) (/.f64 (+.f64 beta (+.f64 alpha -2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (fma.f64 beta beta (*.f64 (+.f64 3 alpha) (+.f64 3 (-.f64 alpha beta)))))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 3) (-.f64 (+.f64 alpha 3) beta))) (-.f64 (+.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (*.f64 (+.f64 alpha beta) 2))))
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 3)) (fma.f64 beta beta (*.f64 (+.f64 3 alpha) (+.f64 alpha (-.f64 3 beta))))) (/.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 2 (+.f64 beta alpha))))))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (/.f64 (fma.f64 beta beta (*.f64 (+.f64 3 alpha) (+.f64 3 (-.f64 alpha beta)))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 3)))) (-.f64 (+.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (*.f64 2 (+.f64 beta alpha))))
(pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))) 1)
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) 2)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))) 2)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 beta (+.f64 2 alpha)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) 3)
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))) 3) 1/3)
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 beta (+.f64 2 alpha)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha))) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 beta (+.f64 2 alpha))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (log.f64 (exp.f64 (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (+.f64 3 (+.f64 beta alpha)) (log.f64 (exp.f64 (+.f64 beta (+.f64 2 alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))))))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 beta (+.f64 2 alpha)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))) 3))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 beta (+.f64 2 alpha)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 beta (+.f64 2 alpha)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 beta (+.f64 2 alpha)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 beta (+.f64 2 alpha)))
(exp.f64 (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 beta (+.f64 2 alpha)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) 1))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 beta (+.f64 2 alpha)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 beta (+.f64 2 alpha)))
(fma.f64 beta (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 beta (+.f64 2 alpha)))
(fma.f64 (+.f64 beta (+.f64 alpha 2)) beta (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 beta (+.f64 2 alpha)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 beta (fma.f64 alpha beta 1)))) 1)
(+.f64 beta (fma.f64 alpha beta 1))
(-.f64 (/.f64 (*.f64 beta beta) (-.f64 beta (fma.f64 alpha beta 1))) (/.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (-.f64 beta (fma.f64 alpha beta 1))))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (fma.f64 alpha beta 1) 2)) (-.f64 beta (fma.f64 alpha beta 1)))
(*.f64 1 (+.f64 beta (fma.f64 alpha beta 1)))
(+.f64 beta (fma.f64 alpha beta 1))
(*.f64 (+.f64 beta (fma.f64 alpha beta 1)) 1)
(+.f64 beta (fma.f64 alpha beta 1))
(*.f64 (sqrt.f64 (+.f64 beta (fma.f64 alpha beta 1))) (sqrt.f64 (+.f64 beta (fma.f64 alpha beta 1))))
(+.f64 beta (fma.f64 alpha beta 1))
(*.f64 (cbrt.f64 (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (cbrt.f64 (+.f64 beta (fma.f64 alpha beta 1))) 2))
(+.f64 beta (fma.f64 alpha beta 1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (fma.f64 alpha beta 1))) 2) (cbrt.f64 (+.f64 beta (fma.f64 alpha beta 1))))
(+.f64 beta (fma.f64 alpha beta 1))
(*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (fma.f64 alpha beta 1) 2)) (/.f64 1 (-.f64 beta (fma.f64 alpha beta 1))))
(*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) beta)))))
(/.f64 1 (/.f64 (-.f64 beta (fma.f64 alpha beta 1)) (-.f64 (*.f64 beta beta) (pow.f64 (fma.f64 alpha beta 1) 2))))
(*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (fma.f64 alpha beta 1) 2)) (/.f64 1 (-.f64 beta (fma.f64 alpha beta 1))))
(/.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) beta))) (+.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 alpha beta 1) 3))))
(*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) beta)))))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (fma.f64 alpha beta 1) 2)) (-.f64 beta (fma.f64 alpha beta 1)))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (fma.f64 beta beta (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) beta))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (+.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (-.f64 (*.f64 beta beta) (*.f64 beta (fma.f64 alpha beta 1)))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (+.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (*.f64 beta (-.f64 beta (fma.f64 alpha beta 1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (*.f64 beta beta)) (-.f64 (fma.f64 alpha beta 1) beta))
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (fma.f64 alpha beta 1) 2))) (neg.f64 (-.f64 beta (fma.f64 alpha beta 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (fma.f64 alpha beta 1) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) beta)))))
(pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 1)
(+.f64 beta (fma.f64 alpha beta 1))
(pow.f64 (sqrt.f64 (+.f64 beta (fma.f64 alpha beta 1))) 2)
(+.f64 beta (fma.f64 alpha beta 1))
(pow.f64 (cbrt.f64 (+.f64 beta (fma.f64 alpha beta 1))) 3)
(+.f64 beta (fma.f64 alpha beta 1))
(pow.f64 (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 3) 1/3)
(+.f64 beta (fma.f64 alpha beta 1))
(sqrt.f64 (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 2))
(log.f64 (exp.f64 (+.f64 beta (fma.f64 alpha beta 1))))
(+.f64 beta (fma.f64 alpha beta 1))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (fma.f64 alpha beta 1)))))
(+.f64 beta (fma.f64 alpha beta 1))
(cbrt.f64 (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 3))
(+.f64 beta (fma.f64 alpha beta 1))
(expm1.f64 (log1p.f64 (+.f64 beta (fma.f64 alpha beta 1))))
(+.f64 beta (fma.f64 alpha beta 1))
(exp.f64 (log.f64 (+.f64 beta (fma.f64 alpha beta 1))))
(+.f64 beta (fma.f64 alpha beta 1))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (fma.f64 alpha beta 1))) 1))
(+.f64 beta (fma.f64 alpha beta 1))
(log1p.f64 (expm1.f64 (+.f64 beta (fma.f64 alpha beta 1))))
(+.f64 beta (fma.f64 alpha beta 1))
(fma.f64 1 beta (fma.f64 alpha beta 1))
(fma.f64 1 (fma.f64 alpha beta 1) beta)
(fma.f64 (sqrt.f64 (fma.f64 alpha beta 1)) (sqrt.f64 (fma.f64 alpha beta 1)) beta)
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (fma.f64 alpha beta 1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha beta 1)) 2) (cbrt.f64 (fma.f64 alpha beta 1)) beta)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (fma.f64 alpha beta 1))

localize85.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.07%
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
4.49%
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))
4.75%
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
Compiler

Compiled 85 to 53 computations (37.6% saved)

series13.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite113.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
502×+-commutative
500×associate-+l+
452×associate-+r+
442×add-sqr-sqrt
432×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017117
1419117
26742117
Stop Event
node limit
Counts
3 → 147
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (*.f64 (+.f64 1 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 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egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 beta (+.f64 alpha 2)) alpha (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))))))

simplify178.0ms (0.9%)

Algorithm
egg-herbie
Rules
1134×+-commutative
1074×associate-*r*
932×*-commutative
914×associate-*l*
874×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078320179
1272719483
Stop Event
node limit
Counts
219 → 391
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))
(pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) -1)
(neg.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 (neg.f64 (+.f64 beta alpha)) -3)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 3) (pow.f64 (+.f64 beta (+.f64 alpha 3)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))
(exp.f64 (-.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha)) (log1p.f64 (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (-.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha)) (log1p.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))
(+.f64 (*.f64 alpha alpha) (+.f64 (*.f64 alpha (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (*.f64 alpha (+.f64 beta 2)) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))
(+.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(+.f64 (*.f64 alpha (+.f64 beta 2)) (+.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 (+.f64 beta alpha) alpha) (+.f64 (*.f64 2 alpha) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) 2))
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) 2) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta alpha)))
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) beta) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 alpha (+.f64 beta alpha)) (+.f64 (*.f64 alpha 2) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 (+.f64 beta 2) (+.f64 beta alpha)) (+.f64 (*.f64 (+.f64 beta 2) 2) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) beta) (+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) 2) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) 1))
(+.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) 1) (*.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (*.f64 2 (+.f64 beta (+.f64 alpha 2))))
(+.f64 (*.f64 2 (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(+.f64 (*.f64 2 (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) (+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 2 (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (+.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))) (*.f64 alpha (+.f64 beta 2)))
(+.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) beta))
(+.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta alpha))) (*.f64 (+.f64 beta 2) 2))
(+.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) 2))
(+.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 2 (+.f64 beta (+.f64 alpha 2)))) (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(+.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) (*.f64 2 (+.f64 beta 2)))
(+.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))) (*.f64 2 (+.f64 beta (+.f64 alpha 2))))
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta 2))) (*.f64 alpha alpha))
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) alpha)) (*.f64 2 alpha))
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta alpha))) (*.f64 alpha 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 1)
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 alpha (+.f64 beta 2)) (-.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 2))) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (-.f64 (*.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))) (-.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) 3)) (-.f64 (+.f64 (*.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))) (*.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (-.f64 alpha (+.f64 beta 2)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (-.f64 alpha (+.f64 beta 2))))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(exp.f64 (*.f64 2 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (+.f64 beta (+.f64 alpha 2)) alpha (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))
Outputs
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2))))) (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 alpha (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (/.f64 (/.f64 1 (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 2 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))))) (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (/.f64 alpha (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2))))) (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2))))) (fma.f64 -1 (*.f64 (*.f64 beta beta) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2))))) (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2))))) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2)))) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 7 (*.f64 3 alpha)) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 alpha (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (/.f64 (/.f64 1 (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 2 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))))) (fma.f64 -1 (*.f64 beta (*.f64 beta (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 (/.f64 alpha (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (/.f64 (/.f64 1 (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2)) (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 2 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))))) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 2 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 7 (*.f64 alpha 3)) (pow.f64 (+.f64 alpha 3) 2)))))) (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (/.f64 alpha (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 1 beta) (*.f64 alpha alpha))
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(+.f64 (*.f64 alpha (+.f64 beta 2)) (+.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 alpha alpha (fma.f64 (+.f64 2 beta) (+.f64 (+.f64 alpha 2) beta) (*.f64 alpha (+.f64 2 beta))))
(fma.f64 alpha alpha (fma.f64 (+.f64 2 beta) (+.f64 alpha (+.f64 2 beta)) (*.f64 alpha (+.f64 2 beta))))
(+.f64 (*.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha (+.f64 (+.f64 2 beta) (+.f64 (+.f64 alpha 2) beta))))
(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha (+.f64 beta (+.f64 2 (+.f64 alpha (+.f64 2 beta))))))
(+.f64 (*.f64 (+.f64 beta alpha) alpha) (+.f64 (*.f64 2 alpha) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 alpha alpha (fma.f64 (+.f64 2 beta) (+.f64 (+.f64 alpha 2) beta) (*.f64 alpha (+.f64 2 beta))))
(fma.f64 alpha alpha (fma.f64 (+.f64 2 beta) (+.f64 alpha (+.f64 2 beta)) (*.f64 alpha (+.f64 2 beta))))
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) 2))
(*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) 2) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta alpha)))
(*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) beta) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(+.f64 (*.f64 alpha (+.f64 beta alpha)) (+.f64 (*.f64 alpha 2) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 alpha alpha (fma.f64 (+.f64 2 beta) (+.f64 (+.f64 alpha 2) beta) (*.f64 alpha (+.f64 2 beta))))
(fma.f64 alpha alpha (fma.f64 (+.f64 2 beta) (+.f64 alpha (+.f64 2 beta)) (*.f64 alpha (+.f64 2 beta))))
(+.f64 (*.f64 (+.f64 beta 2) (+.f64 beta alpha)) (+.f64 (*.f64 (+.f64 beta 2) 2) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (+.f64 2 beta) (+.f64 alpha beta) (fma.f64 2 (+.f64 2 beta) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))))
(fma.f64 (+.f64 2 beta) (+.f64 alpha beta) (fma.f64 2 (+.f64 2 beta) (*.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) beta) (+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) 2) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(+.f64 (*.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(+.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) 1) (*.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) (*.f64 2 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(+.f64 (*.f64 2 (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(+.f64 (*.f64 2 (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) (+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(fma.f64 (+.f64 2 beta) (+.f64 alpha beta) (fma.f64 2 (+.f64 2 beta) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))))
(fma.f64 (+.f64 2 beta) (+.f64 alpha beta) (fma.f64 2 (+.f64 2 beta) (*.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 2 (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(+.f64 (+.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))) (*.f64 alpha (+.f64 beta 2)))
(fma.f64 alpha alpha (fma.f64 (+.f64 2 beta) (+.f64 (+.f64 alpha 2) beta) (*.f64 alpha (+.f64 2 beta))))
(fma.f64 alpha alpha (fma.f64 (+.f64 2 beta) (+.f64 alpha (+.f64 2 beta)) (*.f64 alpha (+.f64 2 beta))))
(+.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha (+.f64 (+.f64 2 beta) (+.f64 (+.f64 alpha 2) beta))))
(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha (+.f64 beta (+.f64 2 (+.f64 alpha (+.f64 2 beta))))))
(+.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) beta))
(*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(+.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta alpha))) (*.f64 (+.f64 beta 2) 2))
(fma.f64 (+.f64 2 beta) (+.f64 alpha beta) (fma.f64 2 (+.f64 2 beta) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))))
(fma.f64 (+.f64 2 beta) (+.f64 alpha beta) (fma.f64 2 (+.f64 2 beta) (*.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) 2))
(*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(+.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 2 (+.f64 beta (+.f64 alpha 2)))) (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(+.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) (*.f64 2 (+.f64 beta 2)))
(fma.f64 (+.f64 2 beta) (+.f64 alpha beta) (fma.f64 2 (+.f64 2 beta) (*.f64 alpha (+.f64 (+.f64 alpha 2) beta))))
(fma.f64 (+.f64 2 beta) (+.f64 alpha beta) (fma.f64 2 (+.f64 2 beta) (*.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(+.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))) (*.f64 2 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta 2))) (*.f64 alpha alpha))
(fma.f64 alpha alpha (fma.f64 (+.f64 2 beta) (+.f64 (+.f64 alpha 2) beta) (*.f64 alpha (+.f64 2 beta))))
(fma.f64 alpha alpha (fma.f64 (+.f64 2 beta) (+.f64 alpha (+.f64 2 beta)) (*.f64 alpha (+.f64 2 beta))))
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) alpha)) (*.f64 2 alpha))
(fma.f64 alpha alpha (fma.f64 (+.f64 2 beta) (+.f64 (+.f64 alpha 2) beta) (*.f64 alpha (+.f64 2 beta))))
(fma.f64 alpha alpha (fma.f64 (+.f64 2 beta) (+.f64 alpha (+.f64 2 beta)) (*.f64 alpha (+.f64 2 beta))))
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta alpha))) (*.f64 alpha 2))
(fma.f64 alpha alpha (fma.f64 (+.f64 2 beta) (+.f64 (+.f64 alpha 2) beta) (*.f64 alpha (+.f64 2 beta))))
(fma.f64 alpha alpha (fma.f64 (+.f64 2 beta) (+.f64 alpha (+.f64 2 beta)) (*.f64 alpha (+.f64 2 beta))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 1)
(*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 alpha))))) (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 alpha))))))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 2 (-.f64 beta alpha))))) (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 2 (-.f64 beta alpha))))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 alpha (+.f64 beta 2)) (-.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (/.f64 (*.f64 (-.f64 (-.f64 alpha beta) 2) (-.f64 (-.f64 alpha beta) 2)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))))
(*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (*.f64 (-.f64 alpha (+.f64 2 beta)) (-.f64 alpha (+.f64 2 beta)))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)))
(/.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (+.f64 (+.f64 alpha 2) beta) (/.f64 (-.f64 (-.f64 alpha beta) 2) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))))
(*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (-.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 (+.f64 alpha 2) beta) (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 alpha)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 2 (-.f64 beta alpha))))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 2))) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (+.f64 (+.f64 alpha 2) beta) (/.f64 (-.f64 (-.f64 alpha beta) 2) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))))
(*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (-.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 (+.f64 alpha 2) beta) (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 alpha)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 2 (-.f64 beta alpha))))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)))
(/.f64 (-.f64 (*.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))) (-.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (*.f64 (*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 alpha (+.f64 2 beta))) (*.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 (-.f64 alpha beta) 2))) (*.f64 (+.f64 (+.f64 alpha 2) beta) (-.f64 (-.f64 alpha beta) 2)))
(/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 alpha (+.f64 2 beta))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 alpha (+.f64 2 beta)))))
(/.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) 3)) (-.f64 (+.f64 (*.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))) (*.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 (+.f64 alpha 2) beta)) 3) (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 (+.f64 alpha 2) beta)) 3)) (-.f64 (+.f64 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2))) (*.f64 alpha (*.f64 (+.f64 (+.f64 alpha 2) beta) (*.f64 (+.f64 2 beta) (+.f64 (+.f64 alpha 2) beta))))))
(/.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha (+.f64 2 beta))) 3)) (+.f64 (*.f64 alpha (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) alpha)) (-.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (*.f64 alpha (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (+.f64 2 beta))))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (-.f64 alpha (+.f64 beta 2)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 alpha))))) (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (-.f64 (-.f64 alpha beta) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (/.f64 (-.f64 alpha (+.f64 2 beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 2 (-.f64 beta alpha)))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (-.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 alpha))))) (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (-.f64 (-.f64 alpha beta) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (/.f64 (-.f64 alpha (+.f64 2 beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)))) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 2 (-.f64 beta alpha)))))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)
(*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 1)
(*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) 3)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2) 3)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 3) 1/3)
(*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) 4))
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 3))
(*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(exp.f64 (*.f64 2 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) 2))
(*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(fma.f64 (+.f64 beta (+.f64 alpha 2)) alpha (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (+.f64 (+.f64 alpha 2) beta) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.02%
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
0.03%
(/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))
0.07%
(*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))
0.19%
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
Compiler

Compiled 97 to 65 computations (33% saved)

series15.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite206.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
442×+-commutative
436×add-sqr-sqrt
426×pow1
426×*-un-lft-identity
408×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017196
1414160
26531160
Stop Event
node limit
Counts
4 → 169
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))
(/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
Outputs
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simplify537.0ms (2.6%)

Algorithm
egg-herbie
Rules
1528×associate-*r*
1422×associate-*l*
1400×+-commutative
1096×associate-+r+
778×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
096125429
1344125237
Stop Event
node limit
Counts
265 → 509
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))))))) (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4))))))
(+.f64 (/.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))))) (pow.f64 alpha 5)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 5))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4)))))))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))))))) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4))))))
(+.f64 (/.f64 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))) (pow.f64 beta 5)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)))))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4)))))))))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(/.f64 (pow.f64 alpha 2) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(/.f64 (pow.f64 alpha 2) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)))))
(pow.f64 (+.f64 2 alpha) 2)
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (-.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (*.f64 2 alpha)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (-.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 3 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (*.f64 2 alpha)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (-.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))))))
beta
(+.f64 beta (+.f64 3 (*.f64 2 alpha)))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 3 (/.f64 1 beta))))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 (/.f64 alpha (pow.f64 beta 2))) (+.f64 (*.f64 2 alpha) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 3 (/.f64 1 beta)))))
beta
(-.f64 (+.f64 beta (*.f64 2 (+.f64 2 alpha))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (-.f64 (*.f64 2 (+.f64 2 alpha)) 1))) beta)) (+.f64 beta (*.f64 2 (+.f64 2 alpha)))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (-.f64 (*.f64 2 (+.f64 2 alpha)) 1))) beta)) (+.f64 beta (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (*.f64 2 (+.f64 2 alpha))))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (+.f64 2 alpha)) 1) (pow.f64 beta 2)))))
(/.f64 (+.f64 beta 2) (+.f64 beta 1))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(/.f64 alpha (+.f64 beta 1))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(/.f64 alpha (+.f64 beta 1))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 2 alpha)
(+.f64 2 (+.f64 alpha (*.f64 -1 (*.f64 beta (+.f64 1 alpha)))))
(+.f64 2 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta 2)) (+.f64 alpha (*.f64 -1 (*.f64 beta (+.f64 1 alpha))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 1 alpha))) (+.f64 2 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta 2)) (+.f64 alpha (*.f64 -1 (*.f64 beta (+.f64 1 alpha)))))))
1
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) 1))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) 1)))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3)))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (+.f64 2 alpha))) beta)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (+.f64 2 alpha))) beta)) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (+.f64 2 alpha))) beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (+.f64 2 alpha))) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2)))))))
(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 6)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 2)))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 2 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (+.f64 beta 2)) (pow.f64 alpha 3))) (/.f64 1 alpha)))))) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 2 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)) (*.f64 2 (*.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 2 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (+.f64 beta 2))) (*.f64 -1 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 2 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (+.f64 beta 2)) (pow.f64 alpha 3))) (/.f64 1 alpha))))))) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))))))
(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))))))
(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 6)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))))))))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)))
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(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))))
(exp.f64 (-.f64 (log.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (log1p.f64 beta)))
(exp.f64 (*.f64 (-.f64 (log.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (log1p.f64 beta)) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)))) 1)
(*.f64 1 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)))
(*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 -1 (-.f64 -1 beta)))
(*.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 1)
(*.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (*.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (/.f64 -1 (-.f64 -1 beta))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) (*.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) (/.f64 -1 (-.f64 -1 beta))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 2) (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta)))
(*.f64 (-.f64 -2 (+.f64 alpha beta)) (/.f64 1 (-.f64 -1 beta)))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 beta))) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (cbrt.f64 (+.f64 1 beta))))
(*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (fma.f64 beta beta -1)) (+.f64 beta -1))
(*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 1 beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) 1) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (+.f64 1 beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (cbrt.f64 (+.f64 1 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) (+.f64 1 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) (hypot.f64 1 (sqrt.f64 beta))) (/.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))) -1)
(neg.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 -1 beta)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3) (pow.f64 (+.f64 1 beta) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(exp.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta)))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)))) 1)
(*.f64 1 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)))
(*.f64 (+.f64 alpha 1) (*.f64 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)))
(*.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) 1)
(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (*.f64 (cbrt.f64 (+.f64 alpha 1)) (*.f64 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))))
(*.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))
(*.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (+.f64 alpha 1))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))) (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (/.f64 (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))))
(*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 alpha 1) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(*.f64 (/.f64 1 (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) 2)) (/.f64 (+.f64 alpha 1) (cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) 1) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 1 beta))
(*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 2 (+.f64 alpha beta))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 2 (+.f64 alpha beta))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 2 (+.f64 alpha beta))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (+.f64 2 (+.f64 alpha beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) 2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))))
(pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) 1)
(pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) 3) 1/3)
(pow.f64 (/.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)) (+.f64 alpha 1)) -1)
(neg.f64 (/.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))))
(exp.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (log1p.f64 beta))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (log1p.f64 beta))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))))
Outputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 alpha (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))))
(+.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 alpha (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha (neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (+.f64 beta 7) (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 4))))))))
(+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (fma.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) alpha (neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (*.f64 beta 2) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 4))))))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
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(+.f64 (/.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (/.f64 (pow.f64 beta 5) (fma.f64 -1 (*.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)))))) (*.f64 (neg.f64 (+.f64 1 alpha)) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))))))) (fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 5) (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha))))))) (+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha))))) (pow.f64 beta 3)) (fma.f64 -1 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 5) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (+.f64 (/.f64 alpha (*.f64 beta beta)) (neg.f64 (/.f64 (fma.f64 -1 (*.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)))))) (*.f64 (neg.f64 (+.f64 1 alpha)) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 4)))))))))
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 5) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (*.f64 1 (+.f64 (*.f64 (*.f64 (+.f64 7 (*.f64 3 alpha)) -1) (+.f64 1 (-.f64 alpha (*.f64 (+.f64 1 alpha) (+.f64 7 (*.f64 3 alpha)))))) (*.f64 (+.f64 1 alpha) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4)))) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (*.f64 1 (+.f64 1 (-.f64 alpha (*.f64 (+.f64 1 alpha) (+.f64 7 (*.f64 3 alpha)))))) (pow.f64 beta 3)))) (+.f64 (/.f64 (+.f64 7 (*.f64 3 alpha)) (/.f64 (pow.f64 beta 5) (+.f64 (*.f64 (*.f64 1 (+.f64 1 (-.f64 alpha (*.f64 (+.f64 1 alpha) (+.f64 7 (*.f64 3 alpha)))))) (+.f64 7 (*.f64 3 alpha))) (*.f64 (neg.f64 (+.f64 1 alpha)) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))))))) (/.f64 (*.f64 (*.f64 1 (+.f64 1 (-.f64 alpha (*.f64 (+.f64 1 alpha) (+.f64 7 (*.f64 3 alpha)))))) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 5))))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1))))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1))))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1))))
(/.f64 (pow.f64 alpha 2) (+.f64 beta 1))
(/.f64 (*.f64 alpha alpha) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1))))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1))))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1))))
(/.f64 (pow.f64 alpha 2) (+.f64 beta 1))
(/.f64 (*.f64 alpha alpha) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1))))
(+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)))))
(+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)))))
(+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)))))
(pow.f64 (+.f64 2 alpha) 2)
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (-.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 4 (-.f64 (*.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (*.f64 2 alpha)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (-.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)))))
(fma.f64 (*.f64 beta beta) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (*.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 4 (-.f64 (*.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 3 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (*.f64 2 alpha)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (-.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))))))
(fma.f64 (pow.f64 beta 3) (+.f64 3 (-.f64 (*.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))) (fma.f64 (*.f64 beta beta) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (*.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 4 (-.f64 (*.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))))))
beta
(+.f64 beta (+.f64 3 (*.f64 2 alpha)))
(+.f64 (+.f64 beta 3) (*.f64 2 alpha))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 3 (/.f64 1 beta))))
(+.f64 beta (-.f64 (+.f64 3 (fma.f64 2 alpha (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta))) (fma.f64 2 (/.f64 alpha beta) (/.f64 3 beta))))
(+.f64 beta (+.f64 3 (-.f64 (fma.f64 2 alpha (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)) (fma.f64 2 (/.f64 alpha beta) (/.f64 3 beta)))))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 (/.f64 alpha (pow.f64 beta 2))) (+.f64 (*.f64 2 alpha) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 3 (/.f64 1 beta)))))
(-.f64 (+.f64 (+.f64 beta 3) (fma.f64 2 (/.f64 alpha (*.f64 beta beta)) (fma.f64 2 alpha (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta) (/.f64 3 (*.f64 beta beta)))))) (fma.f64 2 (/.f64 alpha beta) (+.f64 (/.f64 3 beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)))))
(+.f64 beta (+.f64 (fma.f64 2 (/.f64 alpha (*.f64 beta beta)) (+.f64 (fma.f64 2 alpha (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)) (/.f64 3 (*.f64 beta beta)))) (-.f64 3 (+.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 3 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta))))))
beta
(-.f64 (+.f64 beta (*.f64 2 (+.f64 2 alpha))) 1)
(+.f64 beta (+.f64 3 (*.f64 2 alpha)))
(+.f64 (+.f64 beta 3) (*.f64 2 alpha))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (-.f64 (*.f64 2 (+.f64 2 alpha)) 1))) beta)) (+.f64 beta (*.f64 2 (+.f64 2 alpha)))) 1)
(+.f64 (neg.f64 (/.f64 (*.f64 -1 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (fma.f64 2 (+.f64 2 alpha) -1))) beta)) (+.f64 beta (fma.f64 2 (+.f64 2 alpha) -1)))
(+.f64 (+.f64 (+.f64 beta 3) (*.f64 2 alpha)) (/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (*.f64 2 alpha)))) beta))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (-.f64 (*.f64 2 (+.f64 2 alpha)) 1))) beta)) (+.f64 beta (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (*.f64 2 (+.f64 2 alpha))))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (+.f64 2 alpha)) 1) (pow.f64 beta 2)))))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (fma.f64 2 (+.f64 2 alpha) -1))) beta) (+.f64 beta (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)) (+.f64 4 (*.f64 2 alpha))))) (+.f64 1 (/.f64 (neg.f64 (fma.f64 2 (+.f64 2 alpha) -1)) (*.f64 beta beta))))
(+.f64 (+.f64 beta (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)) (+.f64 4 (*.f64 2 alpha)))) (-.f64 (/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (*.f64 2 alpha)))) beta) (+.f64 1 (/.f64 (neg.f64 (+.f64 3 (*.f64 2 alpha))) (*.f64 beta beta)))))
(/.f64 (+.f64 beta 2) (+.f64 beta 1))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(/.f64 alpha (+.f64 beta 1))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(/.f64 alpha (+.f64 beta 1))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(+.f64 2 alpha)
(+.f64 2 (+.f64 alpha (*.f64 -1 (*.f64 beta (+.f64 1 alpha)))))
(+.f64 (+.f64 2 alpha) (neg.f64 (*.f64 beta (+.f64 1 alpha))))
(+.f64 alpha (+.f64 (*.f64 beta (neg.f64 (+.f64 1 alpha))) 2))
(+.f64 2 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta 2)) (+.f64 alpha (*.f64 -1 (*.f64 beta (+.f64 1 alpha))))))
(+.f64 2 (fma.f64 (+.f64 1 alpha) (*.f64 beta beta) (+.f64 alpha (neg.f64 (*.f64 beta (+.f64 1 alpha))))))
(+.f64 2 (fma.f64 (+.f64 1 alpha) (*.f64 beta beta) (+.f64 alpha (*.f64 beta (neg.f64 (+.f64 1 alpha))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 1 alpha))) (+.f64 2 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta 2)) (+.f64 alpha (*.f64 -1 (*.f64 beta (+.f64 1 alpha)))))))
(fma.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (+.f64 2 (fma.f64 (+.f64 1 alpha) (*.f64 beta beta) (+.f64 alpha (neg.f64 (*.f64 beta (+.f64 1 alpha)))))))
(fma.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 beta 3)) (+.f64 2 (fma.f64 (+.f64 1 alpha) (*.f64 beta beta) (+.f64 alpha (*.f64 beta (neg.f64 (+.f64 1 alpha)))))))
1
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) 1))
(+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 alpha beta)))
(+.f64 1 (+.f64 (/.f64 alpha beta) (/.f64 1 beta)))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) 1)))
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(/.f64 (+.f64 beta 1) alpha)
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(/.f64 (+.f64 beta 1) alpha)
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(pow.f64 (*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 beta (+.f64 2 alpha))) (hypot.f64 1 (sqrt.f64 beta))) 2)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (*.f64 (cbrt.f64 (+.f64 alpha 1)) (*.f64 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 (*.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 1 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))) (+.f64 beta 1)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 1 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) (+.f64 beta 1))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))) 2))
(*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))))
(*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(*.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))
(*.f64 (-.f64 -1 beta) (/.f64 (-.f64 -1 alpha) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha)))))
(*.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (+.f64 alpha 1))
(*.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 1) (/.f64 1 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))))
(*.f64 (+.f64 beta 1) (*.f64 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 1 alpha)))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))) (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))))
(*.f64 (-.f64 -1 beta) (/.f64 (-.f64 -1 alpha) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha)))))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (/.f64 (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))))
(/.f64 (*.f64 (-.f64 -1 alpha) 1) (/.f64 (neg.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)) (+.f64 beta 1)))
(*.f64 (/.f64 1 (neg.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (*.f64 (+.f64 beta 1) (-.f64 -1 alpha)))
(*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 alpha 1) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(*.f64 (/.f64 1 (+.f64 (+.f64 2 alpha) beta)) (*.f64 (/.f64 (+.f64 1 alpha) (-.f64 -2 (+.f64 beta alpha))) (-.f64 -1 beta)))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (*.f64 (/.f64 (+.f64 1 alpha) (-.f64 -2 (+.f64 beta alpha))) (-.f64 -1 beta)))
(*.f64 (/.f64 1 (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))))
(*.f64 (*.f64 (/.f64 1 (+.f64 (+.f64 2 alpha) beta)) (hypot.f64 1 (sqrt.f64 beta))) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 2 alpha) beta)) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (hypot.f64 1 (sqrt.f64 beta))) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha))) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) 2)) (/.f64 (+.f64 alpha 1) (cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta 1))) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta 1)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1))) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1)))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) 1) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))
(*.f64 (-.f64 -1 beta) (/.f64 (-.f64 -1 alpha) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha)))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))) (+.f64 1 beta))
(*.f64 (+.f64 beta 1) (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 (+.f64 2 alpha) beta) (-.f64 -2 (+.f64 beta alpha)))))
(*.f64 (+.f64 beta 1) (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 beta (+.f64 2 alpha)) (-.f64 -2 (+.f64 beta alpha)))))
(*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))
(*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta))
(*.f64 (-.f64 -1 beta) (/.f64 (-.f64 -1 alpha) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))))
(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)) (+.f64 beta 1)))
(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 beta 1)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 2 (+.f64 alpha beta))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 (+.f64 2 alpha) beta)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 (/.f64 (cbrt.f64 (+.f64 1 alpha)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)) (+.f64 beta 1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 (/.f64 (cbrt.f64 (+.f64 1 alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 beta 1)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 2 (+.f64 alpha beta))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 (+.f64 2 alpha) beta)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 beta (+.f64 2 alpha))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)))))
(/.f64 (*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta 1))))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta 1))) 2))
(/.f64 (*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1))))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 2 (+.f64 alpha beta))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 (+.f64 2 alpha) beta)) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 beta (+.f64 2 alpha))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (+.f64 2 (+.f64 alpha beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 (+.f64 2 alpha) beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (/.f64 (+.f64 (+.f64 2 alpha) beta) (hypot.f64 1 (sqrt.f64 beta)))) (*.f64 (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 (+.f64 2 alpha) beta)) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 beta (+.f64 2 alpha))) (*.f64 (hypot.f64 1 (sqrt.f64 beta)) (*.f64 (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 beta (+.f64 2 alpha))) (hypot.f64 1 (sqrt.f64 beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) 2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta 1))) 2)))
(*.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1))) 2)))
(pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) 1)
(*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) 2)
(pow.f64 (*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 (+.f64 2 alpha) beta)) (hypot.f64 1 (sqrt.f64 beta))) 2)
(pow.f64 (*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 beta (+.f64 2 alpha))) (hypot.f64 1 (sqrt.f64 beta))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))) 3)
(*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) 3) 1/3)
(*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(pow.f64 (/.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)) (+.f64 alpha 1)) -1)
(/.f64 1 (/.f64 (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta 1)) (+.f64 1 alpha)))
(/.f64 1 (/.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1)) (+.f64 1 alpha)))
(neg.f64 (/.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))))
(/.f64 (neg.f64 (+.f64 1 alpha)) (/.f64 (neg.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)) (+.f64 beta 1)))
(/.f64 (neg.f64 (+.f64 1 alpha)) (/.f64 (neg.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 beta 1)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))))
(*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)))))
(*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) 3))
(*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta 1)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))))
(*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(exp.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (log1p.f64 beta))))
(exp.f64 (+.f64 (-.f64 (log1p.f64 alpha) (*.f64 2 (log.f64 (+.f64 (+.f64 2 alpha) beta)))) (log1p.f64 beta)))
(exp.f64 (+.f64 (log1p.f64 beta) (-.f64 (log1p.f64 alpha) (*.f64 2 (log.f64 (+.f64 beta (+.f64 2 alpha)))))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (log1p.f64 beta))) 1))
(exp.f64 (+.f64 (-.f64 (log1p.f64 alpha) (*.f64 2 (log.f64 (+.f64 (+.f64 2 alpha) beta)))) (log1p.f64 beta)))
(exp.f64 (+.f64 (log1p.f64 beta) (-.f64 (log1p.f64 alpha) (*.f64 2 (log.f64 (+.f64 beta (+.f64 2 alpha)))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))))
(*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1))
0.06%
(*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))
4.51%
(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))
4.76%
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
Compiler

Compiled 93 to 46 computations (50.5% saved)

series9.0ms (0%)

Counts
4 → 96
Calls

24 calls:

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

rewrite127.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
830×associate-+l+
612×+-commutative
560×associate-+r+
444×add-sqr-sqrt
434×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017166
1420154
26857154
Stop Event
node limit
Counts
4 → 218
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))
(+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1))
Outputs
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alpha beta)) (sqrt.f64 (+.f64 alpha beta)) (fma.f64 alpha beta 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 beta (fma.f64 alpha beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha beta 1)) 2) (cbrt.f64 (fma.f64 alpha beta 1)) (+.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (+.f64 alpha beta)) (fma.f64 alpha beta 1))))))

simplify185.0ms (0.9%)

Algorithm
egg-herbie
Rules
1428×associate-*r*
1414×+-commutative
1368×associate-*l*
1110×associate-+r+
858×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0100124968
1339324786
Stop Event
node limit
Counts
314 → 516
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
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(*.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 2) (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(*.f64 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (pow.f64 (fma.f64 alpha beta 1) 2)) (/.f64 1 (-.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta))))))
(/.f64 1 (/.f64 (-.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (-.f64 (pow.f64 (+.f64 alpha beta) 2) (pow.f64 (fma.f64 alpha beta 1) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)))) (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 alpha beta 1) 3))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (pow.f64 (fma.f64 alpha beta 1) 2)) (-.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (+.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (-.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (pow.f64 (fma.f64 alpha beta 1) 2))) (neg.f64 (-.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 alpha beta 1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta))))))
(/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (fma.f64 alpha beta 1)) (+.f64 beta (fma.f64 alpha beta 1)))) (-.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (pow.f64 (+.f64 alpha beta) 2)) (-.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)))
(/.f64 (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 alpha beta))) 1) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 alpha beta)) 1))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 3)) (+.f64 (*.f64 alpha alpha) (-.f64 (*.f64 (+.f64 beta (fma.f64 alpha beta 1)) (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (+.f64 alpha beta) (*.f64 alpha beta)) 3)) (+.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 alpha beta))) (-.f64 1 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 alpha beta)) 1))))
(/.f64 (+.f64 (*.f64 (fma.f64 alpha alpha (neg.f64 (*.f64 beta beta))) (fma.f64 alpha beta -1)) (*.f64 (-.f64 alpha beta) (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1))) (*.f64 (-.f64 alpha beta) (fma.f64 alpha beta -1)))
(/.f64 (+.f64 (*.f64 (fma.f64 alpha alpha (neg.f64 (*.f64 beta beta))) (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta)))) (*.f64 (-.f64 alpha beta) (+.f64 1 (pow.f64 (*.f64 alpha beta) 3)))) (*.f64 (-.f64 alpha beta) (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta)))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 alpha beta -1)) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1))) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (fma.f64 alpha beta -1)))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta)))) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (+.f64 1 (pow.f64 (*.f64 alpha beta) 3)))) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta)))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1) (-.f64 alpha beta)) (*.f64 (fma.f64 alpha beta -1) (fma.f64 alpha alpha (neg.f64 (*.f64 beta beta))))) (*.f64 (fma.f64 alpha beta -1) (-.f64 alpha beta)))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) (*.f64 (fma.f64 alpha beta -1) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (*.f64 (fma.f64 alpha beta -1) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (+.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 alpha beta) 3)) (-.f64 alpha beta)) (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta))) (fma.f64 alpha alpha (neg.f64 (*.f64 beta beta))))) (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta))) (-.f64 alpha beta)))
(/.f64 (+.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 alpha beta) 3)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(pow.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) 1)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 2)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(exp.f64 (log.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(fma.f64 1 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(fma.f64 1 (+.f64 alpha beta) (fma.f64 alpha beta 1))
(fma.f64 1 (fma.f64 alpha beta 1) (+.f64 alpha beta))
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 beta (fma.f64 alpha beta 1)))
(fma.f64 (sqrt.f64 (fma.f64 alpha beta 1)) (sqrt.f64 (fma.f64 alpha beta 1)) (+.f64 alpha beta))
(fma.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha beta)) (fma.f64 alpha beta 1))
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 beta (fma.f64 alpha beta 1)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha beta 1)) 2) (cbrt.f64 (fma.f64 alpha beta 1)) (+.f64 alpha beta))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (+.f64 alpha beta)) (fma.f64 alpha beta 1))
Outputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 alpha (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))))))
(+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 alpha (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) alpha (neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 beta 2) 7))) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 4))))))))
(+.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) alpha (neg.f64 (*.f64 alpha (*.f64 alpha (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (*.f64 beta 2) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 4)))))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (fma.f64 -1 (*.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 beta 2) 7))) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 4))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 (*.f64 beta 2) 7)))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) alpha (neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 beta 2) 7))) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 4)))))))))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
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(/.f64 (*.f64 1 (+.f64 beta 1)) (*.f64 alpha alpha))
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(*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))))))
(/.f64 1 (/.f64 (-.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (-.f64 (pow.f64 (+.f64 alpha beta) 2) (pow.f64 (fma.f64 alpha beta 1) 2))))
(*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 alpha beta 1) 2)) (/.f64 1 (-.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)))) (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 alpha beta 1) 3))))
(*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (pow.f64 (fma.f64 alpha beta 1) 2)) (-.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)))
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 alpha beta 1) 2)) (-.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1)))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (+.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (-.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (+.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (pow.f64 (fma.f64 alpha beta 1) 2))) (neg.f64 (-.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 alpha beta 1) 2))) (neg.f64 (-.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 alpha beta 1) 2))) (-.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 alpha beta 1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) (pow.f64 (fma.f64 alpha beta 1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))))))
(/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (fma.f64 alpha beta 1)) (+.f64 beta (fma.f64 alpha beta 1)))) (-.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))
(/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (fma.f64 alpha beta 1)) (+.f64 beta (fma.f64 alpha beta 1)))) (-.f64 (-.f64 alpha beta) (fma.f64 alpha beta 1)))
(/.f64 (*.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (-.f64 (-.f64 alpha beta) (fma.f64 alpha beta 1))) (-.f64 (-.f64 alpha beta) (fma.f64 alpha beta 1)))
(/.f64 (-.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (pow.f64 (+.f64 alpha beta) 2)) (-.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)))
(/.f64 (-.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (pow.f64 (+.f64 beta alpha) 2)) (-.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)))
(/.f64 (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 alpha beta))) 1) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 alpha beta)) 1))
(/.f64 (fma.f64 (+.f64 alpha (+.f64 beta (*.f64 beta alpha))) (+.f64 alpha (+.f64 beta (*.f64 beta alpha))) -1) (+.f64 (+.f64 beta alpha) (-.f64 (*.f64 beta alpha) 1)))
(/.f64 (fma.f64 (+.f64 beta (+.f64 alpha (*.f64 beta alpha))) (+.f64 beta (+.f64 alpha (*.f64 beta alpha))) -1) (+.f64 (+.f64 beta alpha) (fma.f64 alpha beta -1)))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 3)) (+.f64 (*.f64 alpha alpha) (-.f64 (*.f64 (+.f64 beta (fma.f64 alpha beta 1)) (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta (fma.f64 alpha beta 1)) (-.f64 (+.f64 beta (fma.f64 alpha beta 1)) alpha))))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta (fma.f64 alpha beta 1)) (+.f64 beta (-.f64 (fma.f64 alpha beta 1) alpha)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (+.f64 alpha beta) (*.f64 alpha beta)) 3)) (+.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 alpha beta))) (-.f64 1 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 alpha beta)) 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta (*.f64 beta alpha))) 3)) (fma.f64 (+.f64 alpha (+.f64 beta (*.f64 beta alpha))) (+.f64 alpha (+.f64 beta (*.f64 beta alpha))) (-.f64 1 (+.f64 alpha (+.f64 beta (*.f64 beta alpha))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha (*.f64 beta alpha))) 3)) (fma.f64 (+.f64 beta (+.f64 alpha (*.f64 beta alpha))) (+.f64 beta (+.f64 alpha (*.f64 beta alpha))) (-.f64 1 (+.f64 beta (+.f64 alpha (*.f64 beta alpha))))))
(/.f64 (+.f64 (*.f64 (fma.f64 alpha alpha (neg.f64 (*.f64 beta beta))) (fma.f64 alpha beta -1)) (*.f64 (-.f64 alpha beta) (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1))) (*.f64 (-.f64 alpha beta) (fma.f64 alpha beta -1)))
(/.f64 (fma.f64 (fma.f64 alpha alpha (neg.f64 (*.f64 beta beta))) (fma.f64 alpha beta -1) (*.f64 (-.f64 alpha beta) (+.f64 -1 (pow.f64 (*.f64 beta alpha) 2)))) (*.f64 (fma.f64 alpha beta -1) (-.f64 alpha beta)))
(/.f64 (fma.f64 (fma.f64 alpha alpha (*.f64 beta (neg.f64 beta))) (fma.f64 alpha beta -1) (*.f64 (-.f64 alpha beta) (+.f64 -1 (pow.f64 (*.f64 beta alpha) 2)))) (*.f64 (fma.f64 alpha beta -1) (-.f64 alpha beta)))
(/.f64 (+.f64 (*.f64 (fma.f64 alpha alpha (neg.f64 (*.f64 beta beta))) (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta)))) (*.f64 (-.f64 alpha beta) (+.f64 1 (pow.f64 (*.f64 alpha beta) 3)))) (*.f64 (-.f64 alpha beta) (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta)))))
(/.f64 (fma.f64 (fma.f64 alpha alpha (neg.f64 (*.f64 beta beta))) (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha))) (*.f64 (-.f64 alpha beta) (+.f64 1 (pow.f64 (*.f64 beta alpha) 3)))) (*.f64 (-.f64 alpha beta) (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha)))))
(/.f64 (fma.f64 (fma.f64 alpha alpha (*.f64 beta (neg.f64 beta))) (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha))) (*.f64 (-.f64 alpha beta) (+.f64 1 (pow.f64 (*.f64 beta alpha) 3)))) (*.f64 (-.f64 alpha beta) (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha)))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 alpha beta -1)) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1))) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (fma.f64 alpha beta -1)))
(/.f64 (fma.f64 (+.f64 -1 (pow.f64 (*.f64 beta alpha) 2)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (*.f64 (fma.f64 alpha beta -1) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))) (*.f64 (fma.f64 alpha beta -1) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta)))) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (+.f64 1 (pow.f64 (*.f64 alpha beta) 3)))) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta)))))
(/.f64 (fma.f64 (+.f64 1 (pow.f64 (*.f64 beta alpha) 3)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (*.f64 (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha))) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))) (*.f64 (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1) (-.f64 alpha beta)) (*.f64 (fma.f64 alpha beta -1) (fma.f64 alpha alpha (neg.f64 (*.f64 beta beta))))) (*.f64 (fma.f64 alpha beta -1) (-.f64 alpha beta)))
(/.f64 (fma.f64 (fma.f64 alpha alpha (neg.f64 (*.f64 beta beta))) (fma.f64 alpha beta -1) (*.f64 (-.f64 alpha beta) (+.f64 -1 (pow.f64 (*.f64 beta alpha) 2)))) (*.f64 (fma.f64 alpha beta -1) (-.f64 alpha beta)))
(/.f64 (fma.f64 (fma.f64 alpha alpha (*.f64 beta (neg.f64 beta))) (fma.f64 alpha beta -1) (*.f64 (-.f64 alpha beta) (+.f64 -1 (pow.f64 (*.f64 beta alpha) 2)))) (*.f64 (fma.f64 alpha beta -1) (-.f64 alpha beta)))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) (*.f64 (fma.f64 alpha beta -1) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (*.f64 (fma.f64 alpha beta -1) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (fma.f64 (+.f64 -1 (pow.f64 (*.f64 beta alpha) 2)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (*.f64 (fma.f64 alpha beta -1) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))) (*.f64 (fma.f64 alpha beta -1) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (+.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 alpha beta) 3)) (-.f64 alpha beta)) (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta))) (fma.f64 alpha alpha (neg.f64 (*.f64 beta beta))))) (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta))) (-.f64 alpha beta)))
(/.f64 (fma.f64 (fma.f64 alpha alpha (neg.f64 (*.f64 beta beta))) (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha))) (*.f64 (-.f64 alpha beta) (+.f64 1 (pow.f64 (*.f64 beta alpha) 3)))) (*.f64 (-.f64 alpha beta) (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha)))))
(/.f64 (fma.f64 (fma.f64 alpha alpha (*.f64 beta (neg.f64 beta))) (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha))) (*.f64 (-.f64 alpha beta) (+.f64 1 (pow.f64 (*.f64 beta alpha) 3)))) (*.f64 (-.f64 alpha beta) (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha)))))
(/.f64 (+.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 alpha beta) 3)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (fma.f64 (+.f64 1 (pow.f64 (*.f64 beta alpha) 3)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (*.f64 (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha))) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))) (*.f64 (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(pow.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) 1)
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))
(pow.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 2)
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))
(pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 3)
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))
(pow.f64 (pow.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) 3) 1/3)
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) 2))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1)) 2))
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)))))
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) 3))
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))
(exp.f64 (log.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 1))
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))
(fma.f64 1 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(fma.f64 1 (+.f64 alpha beta) (fma.f64 alpha beta 1))
(fma.f64 1 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(fma.f64 1 (fma.f64 alpha beta 1) (+.f64 alpha beta))
(fma.f64 1 (fma.f64 alpha beta 1) (+.f64 beta alpha))
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 beta (fma.f64 alpha beta 1)))
(fma.f64 (sqrt.f64 (fma.f64 alpha beta 1)) (sqrt.f64 (fma.f64 alpha beta 1)) (+.f64 alpha beta))
(fma.f64 (sqrt.f64 (fma.f64 alpha beta 1)) (sqrt.f64 (fma.f64 alpha beta 1)) (+.f64 beta alpha))
(fma.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha beta)) (fma.f64 alpha beta 1))
(fma.f64 (sqrt.f64 (+.f64 beta alpha)) (sqrt.f64 (+.f64 beta alpha)) (fma.f64 alpha beta 1))
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 beta (fma.f64 alpha beta 1)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha beta 1)) 2) (cbrt.f64 (fma.f64 alpha beta 1)) (+.f64 alpha beta))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha beta 1)) 2) (cbrt.f64 (fma.f64 alpha beta 1)) (+.f64 beta alpha))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (+.f64 alpha beta)) (fma.f64 alpha beta 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (cbrt.f64 (+.f64 beta alpha)) (fma.f64 alpha beta 1))

eval2.0s (9.8%)

Compiler

Compiled 94905 to 66236 computations (30.2% saved)

prune1.1s (5.4%)

Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New1846221868
Fresh000
Picked101
Done303
Total1850221872
Error
0%
Counts
1872 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
5.61%
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
53.67%
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
9.27%
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
9.24%
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
97.9%
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
36.21%
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
0.22%
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) (+.f64 alpha beta)) (*.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 2))) (+.f64 alpha (+.f64 beta 3)))
0.26%
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
43.87%
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
26.32%
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
7.66%
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) (*.f64 2 (+.f64 beta 2))))
51.79%
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (*.f64 beta (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))
97.09%
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
11.98%
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
28.56%
(/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
41.99%
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
49.21%
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
0.2%
(/.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))) (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 3)))
51.14%
(+.f64 (/.f64 (*.f64 1 (+.f64 1 (-.f64 alpha (*.f64 (+.f64 1 alpha) (+.f64 7 (*.f64 3 alpha)))))) (pow.f64 beta 3)) (+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 1 (*.f64 beta beta))))
3.38%
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))
0.32%
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))) (/.f64 1 (+.f64 alpha (+.f64 2 beta))))
6.32%
(*.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2))))
Compiler

Compiled 1038 to 728 computations (29.9% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.03%
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))) (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))))
0.04%
(/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta)))
0.06%
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))
0.19%
(/.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))) (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 3)))
Compiler

Compiled 91 to 53 computations (41.8% saved)

series24.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite120.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
502×+-commutative
452×add-sqr-sqrt
442×pow1
442×*-un-lft-identity
424×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017178
1428154
26866154
Stop Event
node limit
Counts
4 → 170
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))) (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))
(/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta)))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))) (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))))
Outputs
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cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2) (-.f64 -1 alpha))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)) 3) (pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) 3) (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2) (-.f64 -1 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2) (-.f64 -1 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2) (-.f64 -1 alpha)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2) (-.f64 -1 alpha)))))))))

simplify249.0ms (1.2%)

Algorithm
egg-herbie
Rules
1584×associate-*r*
1434×associate-*l*
1360×+-commutative
1144×associate-+r+
878×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
095225414
1330425048
Stop Event
node limit
Counts
266 → 460
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))))))) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 4)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (pow.f64 beta 3)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)))))))) (pow.f64 beta 5))) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 4)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (pow.f64 beta 3)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
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(/.f64 1 (+.f64 beta 2))
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1
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1
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(/.f64 (+.f64 1 alpha) (+.f64 2 alpha))
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(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))))
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(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))))
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(/.f64 1 (+.f64 2 alpha))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha)))
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1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2)))))
1
(+.f64 (/.f64 1 beta) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))))
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(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 1 (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 2)))))))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
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(/.f64 (+.f64 beta 1) alpha)
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))))
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(/.f64 (+.f64 beta 1) alpha)
(+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))
(+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))))
(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))))))
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(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 4 (*.f64 2 alpha)) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 3)))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) beta)
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(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
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(/.f64 (+.f64 beta 1) alpha)
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(/.f64 (+.f64 beta 1) alpha)
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(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))) 2) (cbrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) (*.f64 (cbrt.f64 (-.f64 -1 alpha)) (/.f64 1 (-.f64 (-.f64 -2 alpha) beta))))
(*.f64 (/.f64 1 (-.f64 (-.f64 -2 alpha) beta)) (-.f64 -1 alpha))
(*.f64 (neg.f64 (-.f64 -1 alpha)) (/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 (-.f64 -2 alpha) beta))) (/.f64 (-.f64 -1 alpha) (sqrt.f64 (-.f64 (-.f64 -2 alpha) beta))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (-.f64 -2 alpha) beta)) 2)) (/.f64 (-.f64 -1 alpha) (cbrt.f64 (-.f64 (-.f64 -2 alpha) beta))))
(*.f64 (/.f64 (-.f64 -1 alpha) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (+.f64 alpha (+.f64 beta -2)))
(*.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta -2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 alpha)) 1) (/.f64 (sqrt.f64 (-.f64 -1 alpha)) (-.f64 (-.f64 -2 alpha) beta)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 alpha)) (pow.f64 (cbrt.f64 (-.f64 (-.f64 -2 alpha) beta)) 2)) (/.f64 (sqrt.f64 (-.f64 -1 alpha)) (cbrt.f64 (-.f64 (-.f64 -2 alpha) beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -1 alpha)) (-.f64 (-.f64 -2 alpha) beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) (sqrt.f64 (-.f64 (-.f64 -2 alpha) beta))) (/.f64 (cbrt.f64 (-.f64 -1 alpha)) (sqrt.f64 (-.f64 (-.f64 -2 alpha) beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) (pow.f64 (cbrt.f64 (-.f64 (-.f64 -2 alpha) beta)) 2)) (cbrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))))
(pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 alpha)) -1)
(neg.f64 (/.f64 (-.f64 -1 alpha) (neg.f64 (-.f64 (-.f64 -2 alpha) beta))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 -1 alpha) 3) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))))
(exp.f64 (log.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))))
(+.f64 (/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)) (neg.f64 (/.f64 beta (-.f64 (-.f64 -2 alpha) beta))))
(+.f64 (neg.f64 (/.f64 beta (-.f64 (-.f64 -2 alpha) beta))) (/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)))
(-.f64 (/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)) (/.f64 beta (-.f64 (-.f64 -2 alpha) beta)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)))) 1)
(*.f64 (-.f64 -1 beta) (/.f64 1 (-.f64 (-.f64 -2 alpha) beta)))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)) 1)
(*.f64 1 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)))
(*.f64 (sqrt.f64 (-.f64 -1 beta)) (*.f64 (sqrt.f64 (-.f64 -1 beta)) (/.f64 1 (-.f64 (-.f64 -2 alpha) beta))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta))) (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (*.f64 (cbrt.f64 (-.f64 -1 beta)) (/.f64 1 (-.f64 (-.f64 -2 alpha) beta))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta))) 2) (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta))))
(*.f64 (/.f64 1 (-.f64 (-.f64 -2 alpha) beta)) (-.f64 -1 beta))
(*.f64 (neg.f64 (-.f64 -1 beta)) (/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 (-.f64 -2 alpha) beta))) (/.f64 (-.f64 -1 beta) (sqrt.f64 (-.f64 (-.f64 -2 alpha) beta))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (-.f64 -2 alpha) beta)) 2)) (/.f64 (-.f64 -1 beta) (cbrt.f64 (-.f64 (-.f64 -2 alpha) beta))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (+.f64 alpha (+.f64 beta -2)))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta -2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 beta)) 1) (/.f64 (sqrt.f64 (-.f64 -1 beta)) (-.f64 (-.f64 -2 alpha) beta)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 beta)) (pow.f64 (cbrt.f64 (-.f64 (-.f64 -2 alpha) beta)) 2)) (/.f64 (sqrt.f64 (-.f64 -1 beta)) (cbrt.f64 (-.f64 (-.f64 -2 alpha) beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -1 beta)) (-.f64 (-.f64 -2 alpha) beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (sqrt.f64 (-.f64 (-.f64 -2 alpha) beta))) (/.f64 (cbrt.f64 (-.f64 -1 beta)) (sqrt.f64 (-.f64 (-.f64 -2 alpha) beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (pow.f64 (cbrt.f64 (-.f64 (-.f64 -2 alpha) beta)) 2)) (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta))))
(pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 beta)) -1)
(neg.f64 (/.f64 (-.f64 -1 beta) (neg.f64 (-.f64 (-.f64 -2 alpha) beta))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 -1 beta) 3) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta))))
(exp.f64 (log.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2) (-.f64 -1 alpha))))) 1)
(/.f64 (-.f64 -1 beta) (/.f64 (-.f64 (-.f64 -2 alpha) beta) (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))))
(/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2) (-.f64 -1 alpha)))
(/.f64 (-.f64 -1 beta) (*.f64 (-.f64 (-.f64 -2 alpha) beta) (/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 alpha))))
(/.f64 (-.f64 -1 beta) (*.f64 (/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 alpha)) (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)) (/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 alpha)))
(/.f64 (-.f64 -1 alpha) (*.f64 (-.f64 (-.f64 -2 alpha) beta) (/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 beta))))
(/.f64 (-.f64 -1 alpha) (*.f64 (/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 beta)) (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) (/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 beta)))
(/.f64 1 (/.f64 (-.f64 (-.f64 -2 alpha) beta) (*.f64 (-.f64 -1 beta) (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)))))
(/.f64 1 (/.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2) (*.f64 (-.f64 -1 beta) (-.f64 -1 alpha))))
(/.f64 1 (*.f64 (/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 beta)) (/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 alpha))))
(/.f64 1 (*.f64 (/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 alpha)) (/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 beta))))
(/.f64 (*.f64 (-.f64 -1 beta) (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))) (-.f64 (-.f64 -2 alpha) beta))
(/.f64 (*.f64 (-.f64 -1 beta) (-.f64 -1 alpha)) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2))
(/.f64 (neg.f64 (-.f64 -1 beta)) (*.f64 (/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 alpha)) (neg.f64 (-.f64 (-.f64 -2 alpha) beta))))
(/.f64 (neg.f64 (-.f64 -1 alpha)) (*.f64 (/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 beta)) (neg.f64 (-.f64 (-.f64 -2 alpha) beta))))
(/.f64 (*.f64 (-.f64 -1 beta) (neg.f64 (-.f64 -1 alpha))) (*.f64 (-.f64 (-.f64 -2 alpha) beta) (neg.f64 (-.f64 (-.f64 -2 alpha) beta))))
(/.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)) (neg.f64 (-.f64 -1 alpha))) (neg.f64 (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 (*.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) (neg.f64 (-.f64 -1 beta))) (neg.f64 (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 (*.f64 (neg.f64 (-.f64 -1 beta)) (-.f64 -1 alpha)) (*.f64 (neg.f64 (-.f64 (-.f64 -2 alpha) beta)) (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 (*.f64 (neg.f64 (-.f64 -1 beta)) (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))) (neg.f64 (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 (*.f64 (neg.f64 (-.f64 -1 alpha)) (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta))) (neg.f64 (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 (/.f64 (*.f64 (-.f64 -1 beta) (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))) 1) (-.f64 (-.f64 -2 alpha) beta))
(/.f64 (/.f64 (*.f64 (-.f64 -1 beta) (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))) (sqrt.f64 (-.f64 (-.f64 -2 alpha) beta))) (sqrt.f64 (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 (/.f64 (*.f64 (-.f64 -1 beta) (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))) (pow.f64 (cbrt.f64 (-.f64 (-.f64 -2 alpha) beta)) 2)) (cbrt.f64 (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 (neg.f64 (*.f64 (-.f64 -1 beta) (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)))) (neg.f64 (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 (neg.f64 (*.f64 (-.f64 -1 beta) (-.f64 -1 alpha))) (neg.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2)))
(/.f64 (*.f64 (neg.f64 (-.f64 -1 beta)) 1) (*.f64 (neg.f64 (-.f64 (-.f64 -2 alpha) beta)) (/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 alpha))))
(/.f64 (*.f64 (neg.f64 (-.f64 -1 alpha)) 1) (*.f64 (neg.f64 (-.f64 (-.f64 -2 alpha) beta)) (/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 beta))))
(/.f64 (*.f64 (neg.f64 (-.f64 -1 beta)) (neg.f64 (-.f64 -1 alpha))) (*.f64 (neg.f64 (-.f64 (-.f64 -2 alpha) beta)) (neg.f64 (-.f64 (-.f64 -2 alpha) beta))))
(/.f64 (*.f64 (-.f64 -1 alpha) (neg.f64 (-.f64 -1 beta))) (*.f64 (-.f64 (-.f64 -2 alpha) beta) (neg.f64 (-.f64 (-.f64 -2 alpha) beta))))
(/.f64 (*.f64 (neg.f64 (-.f64 -1 alpha)) (-.f64 -1 beta)) (*.f64 (neg.f64 (-.f64 (-.f64 -2 alpha) beta)) (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 (*.f64 (neg.f64 (-.f64 -1 alpha)) (neg.f64 (-.f64 -1 beta))) (*.f64 (neg.f64 (-.f64 (-.f64 -2 alpha) beta)) (neg.f64 (-.f64 (-.f64 -2 alpha) beta))))
(pow.f64 (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2) (-.f64 -1 alpha))) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 -1 beta) (-.f64 -1 alpha))) (-.f64 (-.f64 -2 alpha) beta)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2) (-.f64 -1 alpha)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2) (-.f64 -1 alpha))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2) (-.f64 -1 alpha))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2) (-.f64 -1 alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2) (-.f64 -1 alpha))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2) (-.f64 -1 alpha))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)) 3) (pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) 3) (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2) (-.f64 -1 alpha)))))
(exp.f64 (log.f64 (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2) (-.f64 -1 alpha)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2) (-.f64 -1 alpha)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2) (-.f64 -1 alpha)))))
Outputs
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(fma.f64 beta (-.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2))))) (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2)))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 2) (*.f64 2 (+.f64 alpha 3)))) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))
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1
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(/.f64 (+.f64 1 alpha) beta)
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(/.f64 1 (+.f64 2 alpha))
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1
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(/.f64 (neg.f64 (-.f64 -1 alpha)) (*.f64 (/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 beta)) (neg.f64 (-.f64 (-.f64 -2 alpha) beta))))
(/.f64 (-.f64 -1 beta) (/.f64 (neg.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)) (neg.f64 (-.f64 -1 alpha))))
(/.f64 (+.f64 1 alpha) (neg.f64 (/.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2) (-.f64 -1 beta))))
(/.f64 (*.f64 (-.f64 -1 beta) (neg.f64 (-.f64 -1 alpha))) (*.f64 (-.f64 (-.f64 -2 alpha) beta) (neg.f64 (-.f64 (-.f64 -2 alpha) beta))))
(/.f64 (-.f64 -1 beta) (/.f64 (neg.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)) (neg.f64 (-.f64 -1 alpha))))
(/.f64 (+.f64 1 alpha) (neg.f64 (/.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2) (-.f64 -1 beta))))
(/.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)) (neg.f64 (-.f64 -1 alpha))) (neg.f64 (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 (-.f64 -1 beta) (/.f64 (neg.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)) (neg.f64 (-.f64 -1 alpha))))
(/.f64 (+.f64 1 alpha) (neg.f64 (/.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2) (-.f64 -1 beta))))
(/.f64 (*.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) (neg.f64 (-.f64 -1 beta))) (neg.f64 (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 (-.f64 -1 beta) (/.f64 (neg.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)) (neg.f64 (-.f64 -1 alpha))))
(/.f64 (+.f64 1 alpha) (neg.f64 (/.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2) (-.f64 -1 beta))))
(/.f64 (*.f64 (neg.f64 (-.f64 -1 beta)) (-.f64 -1 alpha)) (*.f64 (neg.f64 (-.f64 (-.f64 -2 alpha) beta)) (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 (-.f64 -1 beta) (/.f64 (neg.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)) (neg.f64 (-.f64 -1 alpha))))
(/.f64 (+.f64 1 alpha) (neg.f64 (/.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2) (-.f64 -1 beta))))
(/.f64 (*.f64 (neg.f64 (-.f64 -1 beta)) (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))) (neg.f64 (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 (-.f64 -1 beta) (/.f64 (neg.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)) (neg.f64 (-.f64 -1 alpha))))
(/.f64 (+.f64 1 alpha) (neg.f64 (/.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2) (-.f64 -1 beta))))
(/.f64 (*.f64 (neg.f64 (-.f64 -1 alpha)) (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta))) (neg.f64 (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 (-.f64 -1 beta) (/.f64 (neg.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)) (neg.f64 (-.f64 -1 alpha))))
(/.f64 (+.f64 1 alpha) (neg.f64 (/.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2) (-.f64 -1 beta))))
(/.f64 (/.f64 (*.f64 (-.f64 -1 beta) (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))) 1) (-.f64 (-.f64 -2 alpha) beta))
(/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2) (-.f64 -1 alpha)))
(/.f64 (/.f64 (*.f64 (-.f64 -1 beta) (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))) (sqrt.f64 (-.f64 (-.f64 -2 alpha) beta))) (sqrt.f64 (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 (*.f64 (-.f64 -1 beta) (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))) (*.f64 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (*.f64 (-.f64 -1 alpha) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta)))) (*.f64 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))) (sqrt.f64 (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (*.f64 (-.f64 -1 beta) (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))) (pow.f64 (cbrt.f64 (-.f64 (-.f64 -2 alpha) beta)) 2)) (cbrt.f64 (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 (*.f64 (-.f64 -1 beta) (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))) (*.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2)))
(/.f64 (/.f64 (*.f64 (-.f64 -1 alpha) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta)))) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))) 2)) (cbrt.f64 (-.f64 -2 (+.f64 alpha beta))))
(/.f64 (neg.f64 (*.f64 (-.f64 -1 beta) (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)))) (neg.f64 (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 (-.f64 -1 beta) (/.f64 (neg.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)) (neg.f64 (-.f64 -1 alpha))))
(/.f64 (+.f64 1 alpha) (neg.f64 (/.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2) (-.f64 -1 beta))))
(/.f64 (neg.f64 (*.f64 (-.f64 -1 beta) (-.f64 -1 alpha))) (neg.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2)))
(/.f64 (-.f64 -1 beta) (/.f64 (neg.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)) (neg.f64 (-.f64 -1 alpha))))
(/.f64 (+.f64 1 alpha) (neg.f64 (/.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2) (-.f64 -1 beta))))
(/.f64 (*.f64 (neg.f64 (-.f64 -1 beta)) 1) (*.f64 (neg.f64 (-.f64 (-.f64 -2 alpha) beta)) (/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 alpha))))
(/.f64 (-.f64 -1 beta) (/.f64 (neg.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)) (neg.f64 (-.f64 -1 alpha))))
(/.f64 (+.f64 1 alpha) (neg.f64 (/.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2) (-.f64 -1 beta))))
(/.f64 (*.f64 (neg.f64 (-.f64 -1 alpha)) 1) (*.f64 (neg.f64 (-.f64 (-.f64 -2 alpha) beta)) (/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 beta))))
(/.f64 (-.f64 -1 beta) (/.f64 (neg.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)) (neg.f64 (-.f64 -1 alpha))))
(/.f64 (+.f64 1 alpha) (neg.f64 (/.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2) (-.f64 -1 beta))))
(/.f64 (*.f64 (neg.f64 (-.f64 -1 beta)) (neg.f64 (-.f64 -1 alpha))) (*.f64 (neg.f64 (-.f64 (-.f64 -2 alpha) beta)) (neg.f64 (-.f64 (-.f64 -2 alpha) beta))))
(/.f64 (neg.f64 (-.f64 -1 alpha)) (/.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2) (neg.f64 (-.f64 -1 beta))))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))
(/.f64 (*.f64 (-.f64 -1 alpha) (neg.f64 (-.f64 -1 beta))) (*.f64 (-.f64 (-.f64 -2 alpha) beta) (neg.f64 (-.f64 (-.f64 -2 alpha) beta))))
(/.f64 (-.f64 -1 beta) (/.f64 (neg.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)) (neg.f64 (-.f64 -1 alpha))))
(/.f64 (+.f64 1 alpha) (neg.f64 (/.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2) (-.f64 -1 beta))))
(/.f64 (*.f64 (neg.f64 (-.f64 -1 alpha)) (-.f64 -1 beta)) (*.f64 (neg.f64 (-.f64 (-.f64 -2 alpha) beta)) (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 (-.f64 -1 beta) (/.f64 (neg.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2)) (neg.f64 (-.f64 -1 alpha))))
(/.f64 (+.f64 1 alpha) (neg.f64 (/.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2) (-.f64 -1 beta))))
(/.f64 (*.f64 (neg.f64 (-.f64 -1 alpha)) (neg.f64 (-.f64 -1 beta))) (*.f64 (neg.f64 (-.f64 (-.f64 -2 alpha) beta)) (neg.f64 (-.f64 (-.f64 -2 alpha) beta))))
(/.f64 (neg.f64 (-.f64 -1 alpha)) (/.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2) (neg.f64 (-.f64 -1 beta))))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2))
(pow.f64 (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2) (-.f64 -1 alpha))) 1)
(/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2) (-.f64 -1 alpha)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 -1 beta) (-.f64 -1 alpha))) (-.f64 (-.f64 -2 alpha) beta)) 2)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 -1 beta) (-.f64 -1 alpha))) (-.f64 -2 (+.f64 alpha beta))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2) (-.f64 -1 alpha)))) 3)
(/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2) (-.f64 -1 alpha)))
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2) (-.f64 -1 alpha))) 3) 1/3)
(/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2) (-.f64 -1 alpha)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2) (-.f64 -1 alpha))) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2) (-.f64 -1 alpha))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2) (-.f64 -1 alpha)))))
(/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2) (-.f64 -1 alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2) (-.f64 -1 alpha))))))
(/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2) (-.f64 -1 alpha)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2) (-.f64 -1 alpha))) 3))
(/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2) (-.f64 -1 alpha)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)) 3) (pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) 3) (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) 3) (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) 3) (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2) (-.f64 -1 alpha)))))
(/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2) (-.f64 -1 alpha)))
(exp.f64 (log.f64 (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2) (-.f64 -1 alpha)))))
(/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2) (-.f64 -1 alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2) (-.f64 -1 alpha)))) 1))
(/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2) (-.f64 -1 alpha)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2) (-.f64 -1 alpha)))))
(/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 -2 (+.f64 alpha beta)) 2) (-.f64 -1 alpha)))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
4.83%
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
Compiler

Compiled 18 to 9 computations (50% saved)

series4.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite80.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1836×add-sqr-sqrt
1816×*-un-lft-identity
1702×add-cube-cbrt
1684×add-cbrt-cube
168×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
116919
2233119
Stop Event
node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (pow.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta) (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 alpha)) (*.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 2) (pow.f64 beta 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 2) (pow.f64 beta 4))) (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 (cbrt.f64 (+.f64 1 alpha)) (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 beta -2) (+.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 1 alpha)) (/.f64 1 (*.f64 beta (neg.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 beta 4))) (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) 1) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (cbrt.f64 (pow.f64 beta 4))) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 (cbrt.f64 beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) beta) (/.f64 (cbrt.f64 (+.f64 1 alpha)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (cbrt.f64 (pow.f64 beta 4))) (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (neg.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 2) (pow.f64 beta 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 1 alpha)) (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 alpha) (*.f64 2 (log.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (*.f64 2 (log.f64 beta))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))))))

simplify63.0ms (0.3%)

Algorithm
egg-herbie
Rules
776×associate-*r/
668×associate-+r+
564×associate-*l/
520×associate-+l+
510×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0981811
12591791
29251499
346721217
Stop Event
node limit
Counts
57 → 51
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(/.f64 alpha (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(/.f64 alpha (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)))) 1)
(*.f64 1 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(*.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 1)
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta) (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta))
(*.f64 (sqrt.f64 (+.f64 1 alpha)) (*.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 beta -2)))
(*.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 2) (pow.f64 beta 4))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 2) (pow.f64 beta 4))) (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 (cbrt.f64 (+.f64 1 alpha)) (pow.f64 beta -2)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
(*.f64 (neg.f64 (+.f64 1 alpha)) (/.f64 1 (*.f64 beta (neg.f64 beta))))
(*.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) beta))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 beta 4))) (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) 1) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (*.f64 beta beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (cbrt.f64 (pow.f64 beta 4))) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (*.f64 beta beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) beta) (/.f64 (cbrt.f64 (+.f64 1 alpha)) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (cbrt.f64 (pow.f64 beta 4))) (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))
(pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 3) 1/3)
(pow.f64 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)) -1)
(neg.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (neg.f64 beta))))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 2) (pow.f64 beta 4)))
(log.f64 (pow.f64 (exp.f64 (+.f64 1 alpha)) (pow.f64 beta -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))
(exp.f64 (-.f64 (log1p.f64 alpha) (*.f64 2 (log.f64 beta))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (*.f64 2 (log.f64 beta))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))
Outputs
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)))) 1)
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(*.f64 1 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 1)
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta) (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(*.f64 (sqrt.f64 (+.f64 1 alpha)) (*.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 beta -2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(*.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 2) (pow.f64 beta 4))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 2)))
(*.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta) 4)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 2) (pow.f64 beta 4))) (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 2) (pow.f64 beta 4))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 2)))
(*.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta) 4)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 (cbrt.f64 (+.f64 1 alpha)) (pow.f64 beta -2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(*.f64 (neg.f64 (+.f64 1 alpha)) (/.f64 1 (*.f64 beta (neg.f64 beta))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(*.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) beta))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 beta 4))) (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 beta) 2)))
(/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (pow.f64 beta 4)))
(/.f64 (+.f64 1 alpha) (*.f64 (cbrt.f64 (pow.f64 beta 4)) (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) 1) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (*.f64 beta beta)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (cbrt.f64 (pow.f64 beta 4))) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 beta 4))) (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 beta) 2)))
(/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (pow.f64 beta 4)))
(/.f64 (+.f64 1 alpha) (*.f64 (cbrt.f64 (pow.f64 beta 4)) (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (*.f64 beta beta)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) beta) (/.f64 (cbrt.f64 (+.f64 1 alpha)) beta))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (cbrt.f64 (pow.f64 beta 4))) (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (cbrt.f64 (pow.f64 beta 4))))
(pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 1)
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta) 2)
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) 3)
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(pow.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 3) 1/3)
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(pow.f64 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)) -1)
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(neg.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (neg.f64 beta))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 2) (pow.f64 beta 4)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(log.f64 (pow.f64 (exp.f64 (+.f64 1 alpha)) (pow.f64 beta -2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 3))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(exp.f64 (-.f64 (log1p.f64 alpha) (*.f64 2 (log.f64 beta))))
(exp.f64 (+.f64 (log1p.f64 alpha) (*.f64 -2 (log.f64 beta))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (*.f64 beta beta))
(*.f64 (pow.f64 beta -2) (exp.f64 (log1p.f64 alpha)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (*.f64 2 (log.f64 beta))) 1))
(exp.f64 (+.f64 (log1p.f64 alpha) (*.f64 -2 (log.f64 beta))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (*.f64 beta beta))
(*.f64 (pow.f64 beta -2) (exp.f64 (log1p.f64 alpha)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))

localize23.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.03%
(/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha)))
0.2%
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
Compiler

Compiled 56 to 39 computations (30.4% saved)

series9.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite156.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1850×associate-/r/
456×associate-+l+
360×+-commutative
344×add-sqr-sqrt
334×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01480
132972
2493872
Stop Event
node limit
Counts
2 → 182
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha)))
Outputs
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simplify174.0ms (0.9%)

Algorithm
egg-herbie
Rules
1334×associate-/l*
1224×associate-*r*
1208×associate-*l/
1134×associate-*l*
1072×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081120104
1295819740
Stop Event
node limit
Counts
230 → 417
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 (+.f64 beta 3) 2))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (/.f64 (*.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 2))) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (/.f64 (*.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 (+.f64 beta 3) 2))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3))))) (pow.f64 (+.f64 beta 3) 2))) (*.f64 2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))))) (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (/.f64 (*.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 2))) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))))))
(/.f64 1/2 alpha)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (*.f64 1/4 (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (pow.f64 (+.f64 beta 3) 2))) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (*.f64 1/4 (pow.f64 (+.f64 beta 3) 2))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3))))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (*.f64 1/4 (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))))) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(/.f64 1/2 alpha)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1/2 (*.f64 -1/4 (+.f64 (*.f64 -1 (+.f64 beta 3)) (*.f64 -2 (+.f64 beta 3)))))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 -1/4 (+.f64 (*.f64 -1 (+.f64 beta 3)) (*.f64 -2 (+.f64 beta 3))))) (pow.f64 (+.f64 beta 3) 2))) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 beta 3) 2)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 3)) (*.f64 -2 (+.f64 beta 3))) (-.f64 1/2 (*.f64 -1/4 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))))))))))) (pow.f64 alpha 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1/2 (*.f64 -1/4 (+.f64 (*.f64 -1 (+.f64 beta 3)) (*.f64 -2 (+.f64 beta 3)))))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 6 (+.f64 alpha (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 6 (+.f64 alpha (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (+.f64 (/.f64 1 (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) 2)) (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 3) (pow.f64 (+.f64 3 alpha) 3)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2))))))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 6 (+.f64 alpha (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (+.f64 (/.f64 1 (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) 2)) (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 3) (pow.f64 (+.f64 3 alpha) 3)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 6 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 6 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 3) (pow.f64 (+.f64 3 alpha) 3))))))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) 2)) (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 3) (pow.f64 (+.f64 3 alpha) 3)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2)))))))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 6 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 6 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) 2)))) (pow.f64 beta 4))))))
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1/2
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1/2
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(*.f64 (/.f64 (+.f64 alpha 1) (-.f64 (pow.f64 (*.f64 alpha 2) 2) (pow.f64 (+.f64 beta 3) 2))) (-.f64 (*.f64 alpha 2) (+.f64 beta 3)))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 (*.f64 alpha 2)) 3))) (-.f64 (+.f64 (*.f64 beta beta) (*.f64 (+.f64 3 (*.f64 alpha 2)) (+.f64 3 (*.f64 alpha 2)))) (*.f64 beta (+.f64 3 (*.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (fma.f64 alpha 2 (+.f64 beta 3))) (cbrt.f64 (+.f64 alpha 1)))
(*.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3)))) (fma.f64 alpha alpha -1)) (+.f64 alpha 1))
(*.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3)))) (-.f64 (pow.f64 alpha 3) 1)) (+.f64 1 (+.f64 alpha (*.f64 alpha alpha))))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3)))) (-.f64 (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha)) (*.f64 (-.f64 1 alpha) (-.f64 1 alpha)))) (+.f64 (fma.f64 alpha alpha -1) alpha))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3)))) (+.f64 (pow.f64 (*.f64 alpha alpha) 3) (pow.f64 (-.f64 1 alpha) 3))) (-.f64 (+.f64 (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha)) (*.f64 (-.f64 1 alpha) (-.f64 1 alpha))) (*.f64 (*.f64 alpha alpha) (-.f64 1 alpha))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) 1) (/.f64 (+.f64 beta (-.f64 3 (*.f64 alpha 2))) (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) 1) (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3)))) (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2))) (+.f64 beta (-.f64 3 (*.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3)))) (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (neg.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2)))) (neg.f64 (+.f64 beta (-.f64 3 (*.f64 alpha 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3))))) (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3))))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 3 (*.f64 alpha 2)) (+.f64 3 (*.f64 alpha 2))))) (-.f64 beta (+.f64 3 (*.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (-.f64 (pow.f64 (*.f64 alpha 2) 2) (pow.f64 (+.f64 beta 3) 2))) (-.f64 (*.f64 alpha 2) (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 (*.f64 alpha 2)) 3))) (-.f64 (+.f64 (*.f64 beta beta) (*.f64 (+.f64 3 (*.f64 alpha 2)) (+.f64 3 (*.f64 alpha 2)))) (*.f64 beta (+.f64 3 (*.f64 alpha 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (fma.f64 alpha 2 (+.f64 beta 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3))))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (fma.f64 alpha 2 (+.f64 beta 3)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2)))) (sqrt.f64 (+.f64 beta (-.f64 3 (*.f64 alpha 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 (+.f64 beta 3))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3))))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 (+.f64 beta 3))) 2)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2)))) (cbrt.f64 (+.f64 beta (-.f64 3 (*.f64 alpha 2)))))
(pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha 1)) -1)
(neg.f64 (/.f64 (+.f64 alpha 1) (-.f64 -3 (+.f64 beta (*.f64 alpha 2)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (fma.f64 alpha 2 (+.f64 beta 3)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (fma.f64 alpha 2 (+.f64 beta 3)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (fma.f64 alpha 2 (+.f64 beta 3)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))))
Outputs
(/.f64 1 (pow.f64 (+.f64 beta 3) 2))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3)))))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (/.f64 (*.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 2))) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))))))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (fma.f64 -1 (*.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 beta 3) 4)) (/.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3)))))))) (*.f64 alpha alpha)) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3))))))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (fma.f64 -1 (*.f64 alpha (*.f64 alpha (+.f64 (/.f64 2 (pow.f64 (+.f64 beta 3) 4)) (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3))))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta (+.f64 (*.f64 2 beta) 9))))))) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3))))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (/.f64 (*.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 (+.f64 beta 3) 2))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3))))) (pow.f64 (+.f64 beta 3) 2))) (*.f64 2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))))) (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (/.f64 (*.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 2))) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))))))
(fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 beta 3) 4)) (/.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3)))))))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))))) (*.f64 2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3))))) (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (fma.f64 -1 (*.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 beta 3) 4)) (/.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3)))))))) (*.f64 alpha alpha)) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3)))))))))
(fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 beta 3) 4)) (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3))))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta (+.f64 (*.f64 2 beta) 9))))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta (+.f64 (*.f64 2 beta) 9)))) (*.f64 2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3))))) (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (fma.f64 -1 (*.f64 alpha (*.f64 alpha (+.f64 (/.f64 2 (pow.f64 (+.f64 beta 3) 4)) (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3))))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta (+.f64 (*.f64 2 beta) 9))))))) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3)))))))))
(/.f64 1/2 alpha)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (-.f64 (/.f64 1/2 alpha) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (*.f64 alpha alpha)))))
(+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (-.f64 (/.f64 1/2 alpha) (/.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (/.f64 (*.f64 alpha alpha) 1/4))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (*.f64 1/4 (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (+.f64 1/2 (*.f64 -1/4 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6)))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) 1/4)) (pow.f64 alpha 3)) (+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (/.f64 1/2 alpha))) (*.f64 -1/4 (/.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (*.f64 alpha alpha))))
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (+.f64 1/2 (*.f64 -1/4 (+.f64 beta (+.f64 (*.f64 2 beta) 9))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) 1/4)) (pow.f64 alpha 3)) (+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (/.f64 1/2 alpha))) (*.f64 -1/4 (/.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (pow.f64 (+.f64 beta 3) 2))) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (*.f64 1/4 (pow.f64 (+.f64 beta 3) 2))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3))))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (*.f64 1/4 (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))))) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 1/2 (*.f64 -1/4 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6)))))) (*.f64 -1/2 (*.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (fma.f64 1/2 (*.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (+.f64 1/2 (*.f64 -1/4 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6)))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) 1/4))))) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (+.f64 1/2 (*.f64 -1/4 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6)))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) 1/4)) (pow.f64 alpha 3)) (+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (/.f64 1/2 alpha)))) (*.f64 -1/4 (/.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (*.f64 alpha alpha))))
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 1/2 (*.f64 -1/4 (+.f64 beta (+.f64 (*.f64 2 beta) 9))))) (*.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (*.f64 (fma.f64 1/2 (*.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (+.f64 1/2 (*.f64 -1/4 (+.f64 beta (+.f64 (*.f64 2 beta) 9))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) 1/4)) -1/2))) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (+.f64 1/2 (*.f64 -1/4 (+.f64 beta (+.f64 (*.f64 2 beta) 9))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) 1/4)) (pow.f64 alpha 3)) (+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (/.f64 1/2 alpha)))) (*.f64 -1/4 (/.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (*.f64 alpha alpha))))
(/.f64 1/2 alpha)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(+.f64 (+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (/.f64 1/2 alpha)) (*.f64 1/4 (/.f64 (*.f64 (+.f64 beta 3) -3) (*.f64 alpha alpha))))
(+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (-.f64 (/.f64 1/2 alpha) (/.f64 (*.f64 (+.f64 beta 3) 3/4) (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1/2 (*.f64 -1/4 (+.f64 (*.f64 -1 (+.f64 beta 3)) (*.f64 -2 (+.f64 beta 3)))))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
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1/2
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1/2
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(/.f64 (+.f64 1 alpha) beta)
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(/.f64 (+.f64 1 alpha) beta)
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))))) 1)
(/.f64 (+.f64 1 alpha) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 (+.f64 beta 3) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 3 (+.f64 beta alpha))))
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(*.f64 (+.f64 1 alpha) (/.f64 (*.f64 (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3))) (fma.f64 alpha alpha -1)) (fma.f64 alpha alpha -1)))
(*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (fma.f64 alpha 2 (+.f64 beta 3))) (fma.f64 alpha alpha -1)))
(*.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3)))) (-.f64 (pow.f64 alpha 3) 1)) (+.f64 1 (+.f64 alpha (*.f64 alpha alpha))))
(*.f64 (/.f64 (fma.f64 alpha alpha -1) (/.f64 (+.f64 (pow.f64 alpha 3) -1) (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3))))) (+.f64 1 (+.f64 alpha (*.f64 alpha alpha))))
(*.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (fma.f64 alpha 2 (+.f64 beta 3))) (+.f64 -1 (pow.f64 alpha 3))) (+.f64 1 (+.f64 alpha (*.f64 alpha alpha))))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3)))) (-.f64 (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha)) (*.f64 (-.f64 1 alpha) (-.f64 1 alpha)))) (+.f64 (fma.f64 alpha alpha -1) alpha))
(/.f64 (*.f64 (*.f64 (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3))) (+.f64 1 (pow.f64 alpha 3))) (+.f64 alpha (fma.f64 alpha alpha -1))) (-.f64 (pow.f64 alpha 4) (*.f64 (-.f64 1 alpha) (-.f64 1 alpha))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (fma.f64 alpha 2 (+.f64 beta 3))) (/.f64 (-.f64 (pow.f64 alpha 4) (*.f64 (-.f64 1 alpha) (-.f64 1 alpha))) (+.f64 alpha (fma.f64 alpha alpha -1))))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3)))) (+.f64 (pow.f64 (*.f64 alpha alpha) 3) (pow.f64 (-.f64 1 alpha) 3))) (-.f64 (+.f64 (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha)) (*.f64 (-.f64 1 alpha) (-.f64 1 alpha))) (*.f64 (*.f64 alpha alpha) (-.f64 1 alpha))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (+.f64 (pow.f64 (*.f64 alpha alpha) 3) (pow.f64 (-.f64 1 alpha) 3)) (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3))))) (+.f64 (pow.f64 alpha 4) (-.f64 (*.f64 (-.f64 1 alpha) (-.f64 1 alpha)) (*.f64 alpha (*.f64 alpha (-.f64 1 alpha))))))
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (fma.f64 alpha 2 (+.f64 beta 3))) (+.f64 (pow.f64 (*.f64 alpha alpha) 3) (pow.f64 (-.f64 1 alpha) 3))) (+.f64 (pow.f64 alpha 4) (-.f64 (*.f64 (-.f64 1 alpha) (-.f64 1 alpha)) (*.f64 alpha (*.f64 alpha (-.f64 1 alpha))))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) 1) (/.f64 (+.f64 beta (-.f64 3 (*.f64 alpha 2))) (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2))))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta (-.f64 3 (*.f64 2 alpha))) (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 2 alpha) 2))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) 1) (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3)))) (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3)))))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha (*.f64 2 (-.f64 (*.f64 2 alpha) (+.f64 beta 3))))) (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8))))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 2 alpha) (-.f64 (*.f64 2 alpha) (+.f64 beta 3)))) (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2))) (+.f64 beta (-.f64 3 (*.f64 alpha 2))))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta (-.f64 3 (*.f64 2 alpha))) (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 2 alpha) 2))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3)))) (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3)))))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha (*.f64 2 (-.f64 (*.f64 2 alpha) (+.f64 beta 3))))) (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8))))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 2 alpha) (-.f64 (*.f64 2 alpha) (+.f64 beta 3)))) (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (neg.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2)))) (neg.f64 (+.f64 beta (-.f64 3 (*.f64 alpha 2)))))
(/.f64 (*.f64 (+.f64 1 alpha) (neg.f64 (+.f64 beta (-.f64 3 (*.f64 2 alpha))))) (neg.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 2 alpha) 2))))
(*.f64 (neg.f64 (+.f64 beta (-.f64 3 (*.f64 2 alpha)))) (/.f64 (+.f64 1 alpha) (neg.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 2 alpha) 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3))))) (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha (*.f64 2 (-.f64 (*.f64 2 alpha) (+.f64 beta 3)))))) (/.f64 (+.f64 1 alpha) (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 2 alpha) (-.f64 (*.f64 2 alpha) (+.f64 beta 3))))) (/.f64 (+.f64 1 alpha) (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 3 (*.f64 alpha 2)) (+.f64 3 (*.f64 alpha 2))))) (-.f64 beta (+.f64 3 (*.f64 alpha 2))))
(*.f64 (-.f64 beta (+.f64 3 (*.f64 2 alpha))) (/.f64 (+.f64 1 alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2))))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 -3 (*.f64 alpha -2)))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (-.f64 (pow.f64 (*.f64 alpha 2) 2) (pow.f64 (+.f64 beta 3) 2))) (-.f64 (*.f64 alpha 2) (+.f64 beta 3)))
(*.f64 (-.f64 (*.f64 2 alpha) (+.f64 beta 3)) (/.f64 (+.f64 1 alpha) (-.f64 (pow.f64 (*.f64 2 alpha) 2) (pow.f64 (+.f64 beta 3) 2))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 (*.f64 alpha 2)) 3))) (-.f64 (+.f64 (*.f64 beta beta) (*.f64 (+.f64 3 (*.f64 alpha 2)) (+.f64 3 (*.f64 alpha 2)))) (*.f64 beta (+.f64 3 (*.f64 alpha 2)))))
(*.f64 (-.f64 (fma.f64 beta beta (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)) (*.f64 beta (+.f64 3 (*.f64 2 alpha)))) (/.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 3) (pow.f64 beta 3))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (fma.f64 alpha 2 (+.f64 beta 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3))))))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (fma.f64 alpha 2 (+.f64 beta 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha (*.f64 2 (-.f64 (*.f64 2 alpha) (+.f64 beta 3))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8))))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8))) (sqrt.f64 (fma.f64 alpha 2 (+.f64 beta 3))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 2 alpha) (-.f64 (*.f64 2 alpha) (+.f64 beta 3))))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (fma.f64 alpha 2 (+.f64 beta 3)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2)))) (sqrt.f64 (+.f64 beta (-.f64 3 (*.f64 alpha 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (fma.f64 alpha 2 (+.f64 beta 3)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 2 alpha) 2)))) (sqrt.f64 (+.f64 beta (-.f64 3 (*.f64 2 alpha)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 (+.f64 beta 3))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3))))))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8))) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 (+.f64 beta 3))) 2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha (*.f64 2 (-.f64 (*.f64 2 alpha) (+.f64 beta 3)))))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 (+.f64 beta 3))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 2 alpha) (-.f64 (*.f64 2 alpha) (+.f64 beta 3))))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 (+.f64 beta 3))) 2)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2)))) (cbrt.f64 (+.f64 beta (-.f64 3 (*.f64 alpha 2)))))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 2 alpha) 2))) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 (+.f64 beta 3))) 2))) (cbrt.f64 (+.f64 beta (-.f64 3 (*.f64 2 alpha)))))
(pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 1)
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))) 2)
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))) 3)
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 3) 1/3)
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))
(pow.f64 (/.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha 1)) -1)
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))
(neg.f64 (/.f64 (+.f64 alpha 1) (-.f64 -3 (+.f64 beta (*.f64 alpha 2)))))
(/.f64 (neg.f64 (+.f64 1 alpha)) (-.f64 -3 (+.f64 beta (*.f64 2 alpha))))
(/.f64 (neg.f64 (+.f64 1 alpha)) (-.f64 (-.f64 -3 beta) (*.f64 2 alpha)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))))
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))))))
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 3))
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (fma.f64 alpha 2 (+.f64 beta 3)) 3)))
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))))
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (fma.f64 alpha 2 (+.f64 beta 3)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (fma.f64 alpha 2 (+.f64 beta 3)))) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (fma.f64 alpha 2 (+.f64 beta 3)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))))
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))

localize27.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.06%
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3)))
0.12%
(*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2))
7.04%
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
Compiler

Compiled 82 to 46 computations (43.9% saved)

series15.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
6.0ms
beta
@0
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
5.0ms
alpha
@0
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
1.0ms
alpha
@-inf
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
1.0ms
beta
@-inf
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
1.0ms
alpha
@inf
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))

rewrite99.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
586×associate-+l+
538×+-commutative
484×associate-+r+
416×add-sqr-sqrt
406×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01667
139355
2622255
Stop Event
node limit
Counts
1 → 42
Calls
Call 1
Inputs
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha (+.f64 beta 1)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 1))) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 1))) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) 2) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 1))) 2) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 1))) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (+.f64 alpha (+.f64 beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (+.f64 alpha beta)) (/.f64 1 (neg.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) (/.f64 (+.f64 alpha (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) (/.f64 (+.f64 alpha (+.f64 beta 1)) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 2)) (/.f64 (+.f64 alpha (+.f64 beta 1)) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (-.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (+.f64 8 (pow.f64 (+.f64 alpha beta) 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(*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))))))

simplify121.0ms (0.6%)

Algorithm
egg-herbie
Rules
1042×associate--r+
856×distribute-lft-in
788×distribute-rgt-in
572×associate-+r-
572×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03529254
113558436
267918408
Stop Event
node limit
Counts
66 → 132
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))) (pow.f64 alpha 3))) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))))
(/.f64 1 (pow.f64 alpha 2))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 beta)) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (*.f64 (+.f64 6 (*.f64 2 beta)) (+.f64 beta (+.f64 7 (*.f64 2 beta))))))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 beta)) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (*.f64 (+.f64 6 (*.f64 2 beta)) (+.f64 beta (+.f64 7 (*.f64 2 beta))))))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 beta)) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 6 (*.f64 2 beta)) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 -1 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (*.f64 (+.f64 6 (*.f64 2 beta)) (+.f64 beta (+.f64 7 (*.f64 2 beta))))))))))) (pow.f64 alpha 5))))))
(/.f64 1 (pow.f64 alpha 2))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))))) (*.f64 -1 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))) (pow.f64 alpha 3)))))
(+.f64 (/.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))))) (*.f64 -1 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (pow.f64 alpha 5)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))) (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))))) (*.f64 -1 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 5))))))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))))))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 alpha)) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) (+.f64 6 (*.f64 2 alpha)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 alpha)) (pow.f64 beta 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) (+.f64 6 (*.f64 2 alpha)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 alpha)) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 6 (*.f64 2 alpha)) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (*.f64 -1 (*.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) (+.f64 6 (*.f64 2 alpha)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))))))) (pow.f64 beta 5))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)))) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)))))) (*.f64 -1 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)))) (pow.f64 beta 3)))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)))))) (*.f64 -1 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)))) (pow.f64 beta 3))) (/.f64 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)))))) (*.f64 -1 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 5)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))) 1)
(*.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(*.f64 (+.f64 alpha (+.f64 beta 1)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 1))) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 1))) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) 2) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 1))) 2) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 1))) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (+.f64 alpha (+.f64 beta 1)))
(*.f64 (-.f64 -1 (+.f64 alpha beta)) (/.f64 1 (neg.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) (/.f64 (+.f64 alpha (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) (/.f64 (+.f64 alpha (+.f64 beta 1)) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 2)) (/.f64 (+.f64 alpha (+.f64 beta 1)) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (-.f64 beta 2)))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 (+.f64 alpha beta) 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 1))) 1) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 1))) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 1))) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 1))) 2) (+.f64 alpha (+.f64 beta 2))) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 1))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 2)) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 1))) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 1))) 2) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 1))) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 1))) 2) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 1))) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 1))) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 3) 1/3)
(pow.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 alpha (+.f64 beta 1))) -1)
(neg.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (neg.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 1)) 3) (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(exp.f64 (-.f64 (log1p.f64 (+.f64 alpha beta)) (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (+.f64 alpha beta)) (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
Outputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(fma.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))))
(fma.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha (fma.f64 -1 (*.f64 (*.f64 alpha alpha) (+.f64 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (+.f64 beta 7) (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))))
(fma.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (*.f64 alpha alpha) (fma.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (fma.f64 beta 2 7)) (pow.f64 (+.f64 beta 2) 4)) (*.f64 (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (/.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 (+.f64 beta 2) 2)))))))
(-.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) (*.f64 (*.f64 alpha alpha) (fma.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (fma.f64 beta 2 7)) (pow.f64 (+.f64 beta 2) 4)) (*.f64 (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (/.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 (+.f64 beta 2) 2))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))) (pow.f64 alpha 3))) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))))
(fma.f64 -1 (*.f64 (fma.f64 -1 (*.f64 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (+.f64 beta 7) (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (/.f64 (+.f64 (+.f64 beta 7) (*.f64 beta 2)) (+.f64 beta 3)) (/.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))) (pow.f64 alpha 3)) (fma.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha (fma.f64 -1 (*.f64 (*.f64 alpha alpha) (+.f64 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (+.f64 beta 7) (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))))
(-.f64 (fma.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (*.f64 alpha alpha) (fma.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (fma.f64 beta 2 7)) (pow.f64 (+.f64 beta 2) 4)) (*.f64 (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (/.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 (+.f64 beta 2) 2))))))) (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (fma.f64 (/.f64 (+.f64 beta (fma.f64 beta 2 7)) (+.f64 beta 3)) (/.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 4)))) (*.f64 (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (fma.f64 beta 2 7)) (pow.f64 (+.f64 beta 2) 4)) (*.f64 (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (/.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 3)))
(-.f64 (-.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) (*.f64 (*.f64 alpha alpha) (fma.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (fma.f64 beta 2 7)) (pow.f64 (+.f64 beta 2) 4)) (*.f64 (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (/.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 (+.f64 beta 2) 2)))))) (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (fma.f64 (/.f64 (+.f64 beta (fma.f64 beta 2 7)) (+.f64 beta 3)) (/.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 4)))) (*.f64 (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (fma.f64 beta 2 7)) (pow.f64 (+.f64 beta 2) 4)) (*.f64 (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (/.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 3)))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 beta)) (pow.f64 alpha 3))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (neg.f64 (/.f64 (+.f64 (*.f64 beta 2) 6) (pow.f64 alpha 3))))
(-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 (fma.f64 beta 2 6) (pow.f64 alpha 3)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (*.f64 (+.f64 6 (*.f64 2 beta)) (+.f64 beta (+.f64 7 (*.f64 2 beta))))))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 beta)) (pow.f64 alpha 3)))))
(fma.f64 -1 (/.f64 (+.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (neg.f64 (*.f64 (+.f64 (+.f64 beta 7) (*.f64 beta 2)) (+.f64 (*.f64 beta 2) 6)))) (pow.f64 alpha 4)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (neg.f64 (/.f64 (+.f64 (*.f64 beta 2) 6) (pow.f64 alpha 3)))))
(-.f64 (-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 (fma.f64 beta 2 6) (pow.f64 alpha 3))) (/.f64 (-.f64 (fma.f64 (+.f64 beta 3) (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta (fma.f64 beta 2 7)) (fma.f64 beta 2 6))) (pow.f64 alpha 4)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (*.f64 (+.f64 6 (*.f64 2 beta)) (+.f64 beta (+.f64 7 (*.f64 2 beta))))))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 beta)) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 6 (*.f64 2 beta)) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 -1 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1 (*.f64 (+.f64 6 (*.f64 2 beta)) (+.f64 beta (+.f64 7 (*.f64 2 beta))))))))))) (pow.f64 alpha 5))))))
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(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 (+.f64 beta 3) alpha) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))) (/.f64 (+.f64 (+.f64 beta 1) alpha) (sqrt.f64 (*.f64 (+.f64 (+.f64 beta 3) alpha) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))))
(/.f64 (/.f64 (+.f64 beta (+.f64 1 alpha)) (sqrt.f64 (*.f64 (+.f64 beta (+.f64 3 alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) (sqrt.f64 (*.f64 (+.f64 beta (+.f64 3 alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 1))) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 1) alpha)) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (+.f64 beta 3) alpha) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))) 2)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 1 alpha)) (+.f64 beta (+.f64 3 alpha))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 1 alpha))) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 3 alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) 2)))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 1)
(/.f64 (+.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))
(/.f64 (/.f64 (+.f64 beta (+.f64 1 alpha)) (+.f64 beta (+.f64 3 alpha))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) 2)
(/.f64 (+.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))
(/.f64 (/.f64 (+.f64 beta (+.f64 1 alpha)) (+.f64 beta (+.f64 3 alpha))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) 3)
(/.f64 (+.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))
(/.f64 (/.f64 (+.f64 beta (+.f64 1 alpha)) (+.f64 beta (+.f64 3 alpha))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 3) 1/3)
(/.f64 (+.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))
(/.f64 (/.f64 (+.f64 beta (+.f64 1 alpha)) (+.f64 beta (+.f64 3 alpha))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(pow.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 alpha (+.f64 beta 1))) -1)
(/.f64 (+.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))
(/.f64 (/.f64 (+.f64 beta (+.f64 1 alpha)) (+.f64 beta (+.f64 3 alpha))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(neg.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (neg.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(/.f64 (*.f64 (-.f64 -1 (+.f64 beta alpha)) 1) (*.f64 (+.f64 (+.f64 beta 3) alpha) (neg.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))))
(/.f64 (/.f64 (-.f64 -1 (+.f64 beta alpha)) (+.f64 beta (+.f64 3 alpha))) (neg.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(/.f64 (/.f64 (-.f64 -1 (+.f64 beta alpha)) (-.f64 -3 (+.f64 beta alpha))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))) 2))
(fabs.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 1 alpha)) (+.f64 beta (+.f64 3 alpha))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(/.f64 (+.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))
(/.f64 (/.f64 (+.f64 beta (+.f64 1 alpha)) (+.f64 beta (+.f64 3 alpha))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))))
(/.f64 (+.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))
(/.f64 (/.f64 (+.f64 beta (+.f64 1 alpha)) (+.f64 beta (+.f64 3 alpha))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 3))
(/.f64 (+.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))
(/.f64 (/.f64 (+.f64 beta (+.f64 1 alpha)) (+.f64 beta (+.f64 3 alpha))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 1)) 3) (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 3)))
(/.f64 (+.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))
(/.f64 (/.f64 (+.f64 beta (+.f64 1 alpha)) (+.f64 beta (+.f64 3 alpha))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(/.f64 (+.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))
(/.f64 (/.f64 (+.f64 beta (+.f64 1 alpha)) (+.f64 beta (+.f64 3 alpha))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(exp.f64 (-.f64 (log1p.f64 (+.f64 alpha beta)) (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(exp.f64 (-.f64 (log1p.f64 (+.f64 beta alpha)) (log.f64 (*.f64 (+.f64 (+.f64 beta 3) alpha) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))))
(/.f64 (exp.f64 (log1p.f64 (+.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 3 alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (+.f64 alpha beta)) (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) 1))
(exp.f64 (-.f64 (log1p.f64 (+.f64 beta alpha)) (log.f64 (*.f64 (+.f64 (+.f64 beta 3) alpha) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))))
(/.f64 (exp.f64 (log1p.f64 (+.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 3 alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(/.f64 (+.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))
(/.f64 (/.f64 (+.f64 beta (+.f64 1 alpha)) (+.f64 beta (+.f64 3 alpha))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))

localize52.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.02%
(+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))
0.04%
(*.f64 alpha (+.f64 beta (+.f64 alpha 2)))
4.49%
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))
4.75%
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) (*.f64 2 (+.f64 beta 2))))
Compiler

Compiled 145 to 87 computations (40% saved)

series16.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
alpha
@-inf
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) (*.f64 2 (+.f64 beta 2))))
3.0ms
beta
@0
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) (*.f64 2 (+.f64 beta 2))))
3.0ms
alpha
@0
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) (*.f64 2 (+.f64 beta 2))))
2.0ms
beta
@-inf
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) (*.f64 2 (+.f64 beta 2))))
1.0ms
alpha
@inf
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) (*.f64 2 (+.f64 beta 2))))

rewrite71.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
610×add-sqr-sqrt
600×pow1
600×*-un-lft-identity
572×add-exp-log
572×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023157
1586149
Stop Event
node limit
Counts
3 → 76
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) (*.f64 2 (+.f64 beta 2))))
(*.f64 alpha (+.f64 beta (+.f64 alpha 2)))
(+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (/.f64 1 (+.f64 3 (+.f64 beta alpha))) (/.f64 1 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (/.f64 1 (*.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) (/.f64 1 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha))) (*.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha))) (/.f64 1 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))) (sqrt.f64 (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) 2)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha))) (/.f64 1 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))) 2)) (cbrt.f64 (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 beta 1) (neg.f64 (+.f64 1 alpha))) (+.f64 3 (+.f64 beta alpha))) (/.f64 1 (neg.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 1) (/.f64 (/.f64 1 (+.f64 3 (+.f64 beta alpha))) (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))) (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) (sqrt.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))) 2))) (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) (cbrt.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) (-.f64 (pow.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) 2) (*.f64 (pow.f64 (+.f64 beta 2) 2) 4))) (+.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) (*.f64 -2 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) (+.f64 (pow.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) 3) (pow.f64 (+.f64 4 (*.f64 beta 2)) 3))) (+.f64 (pow.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) 2) (*.f64 (+.f64 4 (*.f64 beta 2)) (-.f64 (+.f64 4 (*.f64 beta 2)) (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))) 1/2) (pow.f64 (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))) (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))) (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))) (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (+.f64 3 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 2)) (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (+.f64 3 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (sqrt.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))) (/.f64 (/.f64 1 (+.f64 3 (+.f64 beta alpha))) (sqrt.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (cbrt.f64 (pow.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))) 2))) (/.f64 (/.f64 1 (+.f64 3 (+.f64 beta alpha))) (cbrt.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 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simplify129.0ms (0.6%)

Algorithm
egg-herbie
Rules
1294×distribute-lft-in
1192×distribute-rgt-in
806×+-commutative
774×*-commutative
752×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052917052
1194116214
Stop Event
node limit
Counts
148 → 249
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 4 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 2 alpha))) (+.f64 3 alpha)))
(+.f64 (/.f64 1 (*.f64 (+.f64 4 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 2 alpha))) (+.f64 3 alpha))) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 4 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 2 alpha))) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (+.f64 4 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 2 alpha))) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (+.f64 (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))) (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 4 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 2 alpha))) 2) (pow.f64 (+.f64 3 alpha) 2))))) (/.f64 alpha (*.f64 (+.f64 4 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 2 alpha))) (+.f64 3 alpha)))))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) 2)) (cbrt.f64 (pow.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))) 2))) (/.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha))) (cbrt.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))))
(pow.f64 (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))) 1)
(neg.f64 (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) (neg.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))))
(log.f64 (exp.f64 (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))))
(cbrt.f64 (*.f64 (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))) 2)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))))
(exp.f64 (log.f64 (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))))
(+.f64 (*.f64 beta alpha) (*.f64 alpha (+.f64 alpha 2)))
(+.f64 (*.f64 alpha (+.f64 alpha 2)) (*.f64 beta alpha))
(+.f64 (*.f64 alpha (+.f64 beta alpha)) (*.f64 alpha 2))
(+.f64 (*.f64 (+.f64 beta alpha) alpha) (*.f64 alpha 2))
(+.f64 (*.f64 (*.f64 beta alpha) 1) (*.f64 (*.f64 alpha (+.f64 alpha 2)) 1))
(/.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))) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)) alpha) (-.f64 beta (+.f64 alpha 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)) alpha) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(/.f64 (-.f64 (*.f64 (*.f64 beta alpha) (*.f64 beta alpha)) (*.f64 (*.f64 alpha (+.f64 alpha 2)) (*.f64 alpha (+.f64 alpha 2)))) (-.f64 (*.f64 beta alpha) (*.f64 alpha (+.f64 alpha 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 beta alpha) 3) (pow.f64 (*.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (*.f64 (*.f64 beta alpha) (*.f64 beta alpha)) (-.f64 (*.f64 (*.f64 alpha (+.f64 alpha 2)) (*.f64 alpha (+.f64 alpha 2))) (*.f64 (*.f64 beta alpha) (*.f64 alpha (+.f64 alpha 2))))))
(pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1)
(log.f64 (exp.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(cbrt.f64 (*.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)))
(expm1.f64 (log1p.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(log1p.f64 (expm1.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(-.f64 (/.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (-.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))) (/.f64 (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) 2) (-.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))))
(*.f64 1 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))))
(*.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) 1)
(*.f64 (sqrt.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))) (sqrt.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))))
(*.f64 (cbrt.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))) (cbrt.f64 (pow.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) 2)) (cbrt.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))))
(*.f64 (-.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) 2)) (/.f64 1 (-.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))))
(*.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))))))
(*.f64 (pow.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) 1/2) (pow.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) 1/2))
(/.f64 1 (/.f64 (-.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) (-.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))) (+.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) 2)) (-.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) 2) (-.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 alpha (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) 2) (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) 1)
(log.f64 (exp.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))))
(cbrt.f64 (*.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) (pow.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) 2)))
(expm1.f64 (log1p.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))))
(exp.f64 (log.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))))
(log1p.f64 (expm1.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))))
(fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))
Outputs
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 4 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 2 alpha))) (+.f64 3 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 4 (*.f64 alpha (+.f64 (+.f64 alpha 2) 2))) (+.f64 alpha 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 alpha (+.f64 alpha 4)))) (+.f64 alpha 3))
(+.f64 (/.f64 1 (*.f64 (+.f64 4 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 2 alpha))) (+.f64 3 alpha))) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 4 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 2 alpha))) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (+.f64 4 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 2 alpha))) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (+.f64 (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))) (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 4 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 2 alpha))) 2) (pow.f64 (+.f64 3 alpha) 2))))) (/.f64 alpha (*.f64 (+.f64 4 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 2 alpha))) (+.f64 3 alpha)))))
(+.f64 (/.f64 (/.f64 1 (+.f64 4 (*.f64 alpha (+.f64 (+.f64 alpha 2) 2)))) (+.f64 alpha 3)) (fma.f64 beta (-.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 4 (*.f64 alpha (+.f64 (+.f64 alpha 2) 2)))) (+.f64 alpha 3)) (/.f64 alpha (*.f64 (+.f64 4 (*.f64 alpha (+.f64 (+.f64 alpha 2) 2))) (+.f64 alpha 3)))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 4 (*.f64 alpha (+.f64 (+.f64 alpha 2) 2))) 2)) (/.f64 (+.f64 4 (fma.f64 (+.f64 alpha 2) alpha (fma.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2)) (*.f64 alpha 2)))) (pow.f64 (+.f64 alpha 3) 2)))) (/.f64 alpha (*.f64 (+.f64 4 (*.f64 alpha (+.f64 (+.f64 alpha 2) 2))) (+.f64 alpha 3)))))
(+.f64 (/.f64 (/.f64 1 (+.f64 4 (*.f64 alpha (+.f64 alpha 4)))) (+.f64 alpha 3)) (fma.f64 beta (+.f64 (/.f64 (/.f64 1 (+.f64 4 (*.f64 alpha (+.f64 alpha 4)))) (+.f64 alpha 3)) (-.f64 (/.f64 (/.f64 alpha (+.f64 4 (*.f64 alpha (+.f64 alpha 4)))) (+.f64 alpha 3)) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha 4))) 2)) (/.f64 (+.f64 4 (+.f64 (*.f64 alpha (+.f64 alpha 4)) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2))))) (pow.f64 (+.f64 alpha 3) 2))))) (/.f64 (/.f64 alpha (+.f64 4 (*.f64 alpha (+.f64 alpha 4)))) (+.f64 alpha 3))))
(+.f64 (/.f64 1 (*.f64 (+.f64 4 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 2 alpha))) (+.f64 3 alpha))) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 4 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 2 alpha))) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (+.f64 4 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 2 alpha))) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (+.f64 (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))) (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 4 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 2 alpha))) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (+.f64 4 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (+.f64 (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))) (*.f64 2 alpha)))) (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 4 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 2 alpha))) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (+.f64 4 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 2 alpha))) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (+.f64 (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))) (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 4 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 2 alpha))) 2) (pow.f64 (+.f64 3 alpha) 2))))) (*.f64 (+.f64 4 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 2 alpha))) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 4 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 2 alpha))) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (/.f64 alpha (*.f64 (+.f64 4 (+.f64 (*.f64 (+.f64 2 alpha) alpha) (*.f64 2 alpha))) (+.f64 3 alpha))))))
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(+.f64 (/.f64 (/.f64 1 (+.f64 4 (*.f64 alpha (+.f64 alpha 4)))) (+.f64 alpha 3)) (fma.f64 beta (+.f64 (/.f64 (/.f64 1 (+.f64 4 (*.f64 alpha (+.f64 alpha 4)))) (+.f64 alpha 3)) (-.f64 (/.f64 (/.f64 alpha (+.f64 4 (*.f64 alpha (+.f64 alpha 4)))) (+.f64 alpha 3)) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha 4))) 2)) (/.f64 (+.f64 4 (+.f64 (*.f64 alpha (+.f64 alpha 4)) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2))))) (pow.f64 (+.f64 alpha 3) 2))))) (fma.f64 -1 (*.f64 beta (*.f64 beta (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 4 (*.f64 alpha (+.f64 alpha 4)))) (+.f64 alpha 3)) (-.f64 (/.f64 (/.f64 alpha (+.f64 4 (*.f64 alpha (+.f64 alpha 4)))) (+.f64 alpha 3)) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha 4))) 2)) (/.f64 (+.f64 4 (+.f64 (*.f64 alpha (+.f64 alpha 4)) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2))))) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 alpha 3)) (/.f64 (+.f64 4 (+.f64 (*.f64 alpha (+.f64 alpha 4)) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2))))) (+.f64 4 (*.f64 alpha (+.f64 alpha 4))))) (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha 4))) 2) (/.f64 (+.f64 7 (*.f64 alpha 3)) (pow.f64 (+.f64 alpha 3) 2))))))) (/.f64 (/.f64 alpha (+.f64 4 (*.f64 alpha (+.f64 alpha 4)))) (+.f64 alpha 3)))))
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(*.f64 1 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))))
(fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 2 beta) (+.f64 alpha beta)))
(fma.f64 alpha (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 2 beta) (+.f64 alpha beta)))
(*.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) 1)
(fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 2 beta) (+.f64 alpha beta)))
(fma.f64 alpha (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 2 beta) (+.f64 alpha beta)))
(*.f64 (sqrt.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))) (sqrt.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))))
(fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 2 beta) (+.f64 alpha beta)))
(fma.f64 alpha (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 2 beta) (+.f64 alpha beta)))
(*.f64 (cbrt.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))) (cbrt.f64 (pow.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) 2)))
(*.f64 (cbrt.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 2 beta) (+.f64 alpha beta)))) (cbrt.f64 (pow.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 2 beta) (+.f64 alpha beta))) 2)))
(*.f64 (cbrt.f64 (fma.f64 alpha (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 2 beta) (+.f64 alpha beta)))) (cbrt.f64 (pow.f64 (fma.f64 alpha (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 2 beta) (+.f64 alpha beta))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) 2)) (cbrt.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))))
(*.f64 (cbrt.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 2 beta) (+.f64 alpha beta)))) (cbrt.f64 (pow.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 2 beta) (+.f64 alpha beta))) 2)))
(*.f64 (cbrt.f64 (fma.f64 alpha (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 2 beta) (+.f64 alpha beta)))) (cbrt.f64 (pow.f64 (fma.f64 alpha (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 2 beta) (+.f64 alpha beta))) 2)))
(*.f64 (-.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) 2)) (/.f64 1 (-.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))))
(*.f64 (-.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha beta)) 2)) (/.f64 1 (-.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 2 beta) (+.f64 alpha beta)))))
(*.f64 (-.f64 (pow.f64 (*.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha beta)) 2)) (/.f64 1 (-.f64 (*.f64 alpha (+.f64 alpha (+.f64 2 beta))) (*.f64 (+.f64 2 beta) (+.f64 alpha beta)))))
(*.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))))))
(*.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha beta)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 2 beta) (-.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha beta)) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha beta)) 3)) (/.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 2 beta) (-.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha beta)) (*.f64 alpha (+.f64 alpha (+.f64 2 beta))))))) 1))
(*.f64 (pow.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) 1/2) (pow.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) 1/2))
(fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 2 beta) (+.f64 alpha beta)))
(fma.f64 alpha (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 2 beta) (+.f64 alpha beta)))
(/.f64 1 (/.f64 (-.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) (-.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha beta)) 2)) (/.f64 1 (-.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 2 beta) (+.f64 alpha beta)))))
(*.f64 (-.f64 (pow.f64 (*.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha beta)) 2)) (/.f64 1 (-.f64 (*.f64 alpha (+.f64 alpha (+.f64 2 beta))) (*.f64 (+.f64 2 beta) (+.f64 alpha beta)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))) (+.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) 3))))
(*.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha beta)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 2 beta) (-.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha beta)) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha beta)) 3)) (/.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 2 beta) (-.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha beta)) (*.f64 alpha (+.f64 alpha (+.f64 2 beta))))))) 1))
(/.f64 (-.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) 2)) (-.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))))
(/.f64 (-.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha beta)) 2)) (-.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 2 beta) (+.f64 alpha beta))))
(/.f64 (-.f64 (pow.f64 (*.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha beta)) 2)) (-.f64 (*.f64 alpha (+.f64 alpha (+.f64 2 beta))) (*.f64 (+.f64 2 beta) (+.f64 alpha beta))))
(/.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha beta)) 3)) (+.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 2 beta) (-.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha beta)) (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha beta)) 3)) (+.f64 (pow.f64 (*.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2) (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 2 beta) (-.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha beta)) (*.f64 alpha (+.f64 alpha (+.f64 2 beta))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) 2) (-.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2) (*.f64 alpha (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha beta)) 3)) (-.f64 (+.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha beta)) 2) (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)) (*.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 2 beta) (+.f64 alpha beta)))))
(/.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha beta)) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha beta)) 2) (*.f64 (*.f64 alpha (+.f64 alpha (+.f64 2 beta))) (-.f64 (*.f64 alpha (+.f64 alpha (+.f64 2 beta))) (*.f64 (+.f64 2 beta) (+.f64 alpha beta))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) 2) (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha beta)) 2) (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 2)) (-.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha beta)) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha beta)) 2) (pow.f64 (*.f64 alpha (+.f64 alpha (+.f64 2 beta))) 2)) (-.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha beta)) (*.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
(pow.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) 1)
(fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 2 beta) (+.f64 alpha beta)))
(fma.f64 alpha (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 2 beta) (+.f64 alpha beta)))
(log.f64 (exp.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))))
(fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 2 beta) (+.f64 alpha beta)))
(fma.f64 alpha (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 2 beta) (+.f64 alpha beta)))
(cbrt.f64 (*.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) (pow.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) 2)))
(cbrt.f64 (pow.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 2 beta) (+.f64 alpha beta))) 3))
(cbrt.f64 (pow.f64 (fma.f64 alpha (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 2 beta) (+.f64 alpha beta))) 3))
(expm1.f64 (log1p.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))))
(fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 2 beta) (+.f64 alpha beta)))
(fma.f64 alpha (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 2 beta) (+.f64 alpha beta)))
(exp.f64 (log.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))))
(fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 2 beta) (+.f64 alpha beta)))
(fma.f64 alpha (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 2 beta) (+.f64 alpha beta)))
(log1p.f64 (expm1.f64 (fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))))
(fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 2 beta) (+.f64 alpha beta)))
(fma.f64 alpha (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 2 beta) (+.f64 alpha beta)))
(fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta alpha) (+.f64 beta 2)))
(fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 2 beta) (+.f64 alpha beta)))
(fma.f64 alpha (+.f64 alpha (+.f64 2 beta)) (*.f64 (+.f64 2 beta) (+.f64 alpha beta)))

eval1.9s (9.3%)

Compiler

Compiled 86864 to 62762 computations (27.7% saved)

prune853.0ms (4.2%)

Pruning

31 alts after pruning (27 fresh and 4 done)

PrunedKeptTotal
New1697191716
Fresh9817
Picked101
Done044
Total1707311738
Error
0%
Counts
1738 → 31
Alt Table
Click to see full alt table
StatusErrorProgram
51.78%
(pow.f64 beta -2)
5.61%
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
9.27%
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
9.24%
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
36.21%
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
0.26%
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
43.87%
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
26.32%
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
52.16%
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 alpha (+.f64 alpha 4)))) (+.f64 alpha 3))
44.83%
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
51.79%
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (*.f64 beta (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))
43.53%
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
12.84%
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 beta (+.f64 beta 2))) (+.f64 beta 3)))
11.98%
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) 3)) (+.f64 (+.f64 alpha beta) 2)))
11.98%
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
50.81%
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
56.28%
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
41.99%
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
51.48%
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 4 (*.f64 alpha (+.f64 (+.f64 alpha 2) 2))) (+.f64 alpha 3)))
87.16%
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))
49.21%
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
0.2%
(/.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))) (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 3)))
42.06%
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha)) (-.f64 beta (+.f64 3 (*.f64 2 alpha)))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)))
69.72%
(/.f64 alpha (*.f64 beta beta))
52.66%
(/.f64 1 (*.f64 beta beta))
96.65%
(/.f64 1 (*.f64 alpha alpha))
87.62%
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
97.45%
(/.f64 1/2 alpha)
49.19%
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
0.3%
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)) (*.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
44.93%
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
Compiler

Compiled 1016 to 728 computations (28.3% saved)

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.02%
(/.f64 -1 (-.f64 -1 beta))
0.07%
(*.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))
0.19%
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
0.21%
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta)))
Compiler

Compiled 119 to 77 computations (35.3% saved)

series6.0ms (0%)

Counts
4 → 84
Calls

21 calls:

TimeVariablePointExpression
1.0ms
beta
@0
(*.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))
1.0ms
alpha
@0
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
1.0ms
beta
@0
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
0.0ms
beta
@-inf
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
0.0ms
alpha
@-inf
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))

rewrite88.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
526×add-sqr-sqrt
514×pow1
514×*-un-lft-identity
494×add-cbrt-cube
494×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021172
1524146
Stop Event
node limit
Counts
4 → 181
Calls
Call 1
Inputs
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))
(/.f64 -1 (-.f64 -1 beta))
Outputs
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simplify219.0ms (1.1%)

Algorithm
egg-herbie
Rules
1488×associate-*r*
1334×associate-*l*
1040×associate-/r*
1016×+-commutative
892×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081121247
1281620477
Stop Event
node limit
Counts
265 → 432
Calls
Call 1
Inputs
(+.f64 2 alpha)
(+.f64 2 (+.f64 alpha (*.f64 -1 (*.f64 beta (+.f64 1 alpha)))))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
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(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))))))) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 4)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (pow.f64 beta 3)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)))))))) (pow.f64 beta 5))) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 4)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (pow.f64 beta 3)))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(/.f64 (pow.f64 alpha 2) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(/.f64 (pow.f64 alpha 2) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)))))
(pow.f64 (+.f64 2 alpha) 2)
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (-.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (*.f64 2 alpha)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (-.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 3 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (*.f64 2 alpha)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (-.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))))))
beta
(+.f64 beta (+.f64 3 (*.f64 2 alpha)))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 3 (/.f64 1 beta))))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 (/.f64 alpha (pow.f64 beta 2))) (+.f64 (*.f64 2 alpha) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 3 (/.f64 1 beta)))))
beta
(+.f64 beta (*.f64 -1 (+.f64 1 (*.f64 -2 (+.f64 2 alpha)))))
(-.f64 (+.f64 beta (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -2 (+.f64 2 alpha)))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -2 (+.f64 2 alpha))) beta)))
(-.f64 (+.f64 beta (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -2 (+.f64 2 alpha)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 -1 (+.f64 1 (*.f64 -2 (+.f64 2 alpha))))) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -2 (+.f64 2 alpha))) beta)))
1
(+.f64 (*.f64 -1 beta) 1)
(+.f64 (*.f64 -1 beta) (+.f64 1 (pow.f64 beta 2)))
(+.f64 (*.f64 -1 beta) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 beta 3)) (pow.f64 beta 2))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 1 (pow.f64 beta 4))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 1 (pow.f64 beta 4))))
(+.f64 (/.f64 -2 (-.f64 -1 beta)) (/.f64 (+.f64 beta alpha) (neg.f64 (-.f64 -1 beta))))
(+.f64 (/.f64 (+.f64 beta alpha) (neg.f64 (-.f64 -1 beta))) (/.f64 -2 (-.f64 -1 beta)))
(+.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) alpha) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 beta 2)))
(+.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 beta 2)) (*.f64 (/.f64 -1 (-.f64 -1 beta)) alpha))
(+.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 alpha)) (*.f64 (/.f64 -1 (-.f64 -1 beta)) beta))
(+.f64 (*.f64 alpha (/.f64 -1 (-.f64 -1 beta))) (*.f64 (+.f64 beta 2) (/.f64 -1 (-.f64 -1 beta))))
(+.f64 (*.f64 (+.f64 beta 2) (/.f64 -1 (-.f64 -1 beta))) (*.f64 alpha (/.f64 -1 (-.f64 -1 beta))))
(+.f64 (*.f64 (+.f64 2 alpha) (/.f64 -1 (-.f64 -1 beta))) (*.f64 beta (/.f64 -1 (-.f64 -1 beta))))
(+.f64 (*.f64 (/.f64 -2 (-.f64 -1 beta)) 1) (*.f64 (/.f64 (+.f64 beta alpha) (neg.f64 (-.f64 -1 beta))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))))) 1)
(/.f64 -1 (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 2 alpha))))
(/.f64 1 (/.f64 (-.f64 -1 beta) (neg.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (+.f64 beta (+.f64 2 alpha)) (-.f64 1 (/.f64 beta -1)))
(/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))
(/.f64 (neg.f64 (+.f64 beta (+.f64 2 alpha))) (-.f64 -1 beta))
(/.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (*.f64 (-.f64 1 (/.f64 beta -1)) (-.f64 2 (+.f64 beta alpha))))
(/.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (*.f64 (neg.f64 (-.f64 -1 beta)) (-.f64 2 (+.f64 beta alpha))))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (-.f64 1 (/.f64 beta -1)) (-.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (neg.f64 (-.f64 -1 beta)) (-.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (*.f64 (-.f64 1 (/.f64 beta -1)) (+.f64 4 (*.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) 2)))))
(/.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (*.f64 (neg.f64 (-.f64 -1 beta)) (+.f64 4 (*.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) 2)))))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (*.f64 (-.f64 1 (/.f64 beta -1)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (*.f64 (neg.f64 (-.f64 -1 beta)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(/.f64 (*.f64 -1 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (*.f64 (-.f64 -1 beta) (-.f64 2 (+.f64 beta alpha))))
(/.f64 (*.f64 -1 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 -1 beta) (-.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 -1 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (*.f64 (-.f64 -1 beta) (+.f64 4 (*.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) 2)))))
(/.f64 (*.f64 -1 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (-.f64 -1 beta) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(/.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (-.f64 2 (+.f64 beta alpha)))
(/.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (*.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) 2))))
(/.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (*.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (/.f64 -1 (-.f64 -1 beta))) (-.f64 2 (+.f64 beta alpha)))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 -1 (-.f64 -1 beta))) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (/.f64 -1 (-.f64 -1 beta))) (+.f64 4 (*.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 -1 (-.f64 -1 beta))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (/.f64 (neg.f64 (+.f64 beta (+.f64 2 alpha))) 1) (-.f64 -1 beta))
(/.f64 (/.f64 (neg.f64 (+.f64 beta (+.f64 2 alpha))) (sqrt.f64 (-.f64 -1 beta))) (sqrt.f64 (-.f64 -1 beta)))
(/.f64 (/.f64 (neg.f64 (+.f64 beta (+.f64 2 alpha))) (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2)) (cbrt.f64 (-.f64 -1 beta)))
(/.f64 (-.f64 (*.f64 (/.f64 -2 (-.f64 -1 beta)) (/.f64 -2 (-.f64 -1 beta))) (*.f64 (/.f64 (+.f64 beta alpha) (neg.f64 (-.f64 -1 beta))) (/.f64 (+.f64 beta alpha) (neg.f64 (-.f64 -1 beta))))) (-.f64 (/.f64 -2 (-.f64 -1 beta)) (/.f64 (+.f64 beta alpha) (neg.f64 (-.f64 -1 beta)))))
(/.f64 (+.f64 (pow.f64 (/.f64 -2 (-.f64 -1 beta)) 3) (pow.f64 (/.f64 (+.f64 beta alpha) (neg.f64 (-.f64 -1 beta))) 3)) (+.f64 (*.f64 (/.f64 -2 (-.f64 -1 beta)) (/.f64 -2 (-.f64 -1 beta))) (-.f64 (*.f64 (/.f64 (+.f64 beta alpha) (neg.f64 (-.f64 -1 beta))) (/.f64 (+.f64 beta alpha) (neg.f64 (-.f64 -1 beta)))) (*.f64 (/.f64 -2 (-.f64 -1 beta)) (/.f64 (+.f64 beta alpha) (neg.f64 (-.f64 -1 beta)))))))
(/.f64 (*.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)) -1) (*.f64 (-.f64 2 (+.f64 beta alpha)) (-.f64 -1 beta)))
(/.f64 (*.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)) 1) (*.f64 (-.f64 2 (+.f64 beta alpha)) (-.f64 1 (/.f64 beta -1))))
(/.f64 (*.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)) 1) (*.f64 (-.f64 2 (+.f64 beta alpha)) (neg.f64 (-.f64 -1 beta))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) -1) (*.f64 (-.f64 alpha (+.f64 beta 2)) (-.f64 -1 beta)))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) 1) (*.f64 (-.f64 alpha (+.f64 beta 2)) (-.f64 1 (/.f64 beta -1))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) 1) (*.f64 (-.f64 alpha (+.f64 beta 2)) (neg.f64 (-.f64 -1 beta))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) -1) (*.f64 (+.f64 4 (*.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) 2))) (-.f64 -1 beta)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) 1) (*.f64 (+.f64 4 (*.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) 2))) (-.f64 1 (/.f64 beta -1))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) 1) (*.f64 (+.f64 4 (*.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) 2))) (neg.f64 (-.f64 -1 beta))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) -1) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (-.f64 -1 beta)))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) 1) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (-.f64 1 (/.f64 beta -1))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) 1) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (neg.f64 (-.f64 -1 beta))))
(/.f64 (neg.f64 (neg.f64 (+.f64 beta (+.f64 2 alpha)))) (neg.f64 (-.f64 -1 beta)))
(pow.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (-.f64 -1 beta)) 3) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3) (pow.f64 (/.f64 -1 (-.f64 -1 beta)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))))
(exp.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))))
(fma.f64 (/.f64 -1 (-.f64 -1 beta)) 2 (/.f64 (+.f64 beta alpha) (neg.f64 (-.f64 -1 beta))))
(fma.f64 2 (/.f64 -1 (-.f64 -1 beta)) (/.f64 (+.f64 beta alpha) (neg.f64 (-.f64 -1 beta))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (+.f64 beta (+.f64 alpha 3))))) 1)
(*.f64 1 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (+.f64 alpha 1) (*.f64 (/.f64 1 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (+.f64 alpha 1) (/.f64 1 (*.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (+.f64 beta (+.f64 alpha 3))) 1)
(*.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (+.f64 beta (+.f64 alpha 3)))) (sqrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) (*.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (+.f64 beta (+.f64 alpha 3)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (+.f64 beta (+.f64 alpha 3)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (+.f64 beta (+.f64 alpha 3)))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))))
(*.f64 (/.f64 (+.f64 -1 (neg.f64 alpha)) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (/.f64 1 (neg.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (+.f64 alpha 1) 1) (/.f64 (/.f64 1 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 (-.f64 alpha 3) beta))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (sqrt.f64 (+.f64 alpha 1)) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 beta (+.f64 alpha 3))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))))
(*.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 1 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (/.f64 1 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (+.f64 beta (+.f64 alpha 3)))))
(pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (+.f64 beta (+.f64 alpha 3))) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (+.f64 beta (+.f64 alpha 3)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (+.f64 beta (+.f64 alpha 3)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (+.f64 beta (+.f64 alpha 3))) 3) 1/3)
(pow.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 alpha 1)) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (neg.f64 (+.f64 beta (+.f64 alpha 3)))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (+.f64 beta (+.f64 alpha 3))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (+.f64 beta (+.f64 alpha 3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (+.f64 beta (+.f64 alpha 3))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (+.f64 beta (+.f64 alpha 3))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) 3) (pow.f64 (+.f64 beta (+.f64 alpha 3)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (+.f64 beta (+.f64 alpha 3)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 beta (+.f64 alpha 3))))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 beta (+.f64 alpha 3))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (+.f64 beta (+.f64 alpha 3)))))
(+.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) 2) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) (+.f64 beta alpha)))
(+.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) (+.f64 beta alpha)) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) 2))
(+.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) (+.f64 beta 2)))
(+.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) (+.f64 beta 2)) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) alpha))
(+.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) (+.f64 2 alpha)) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) beta))
(+.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 -2 (-.f64 -1 beta))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (+.f64 beta alpha) (neg.f64 (-.f64 -1 beta)))))
(+.f64 (*.f64 2 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))) (*.f64 (+.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))))
(+.f64 (*.f64 (+.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))) (*.f64 2 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))))
(+.f64 (*.f64 alpha (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))))
(+.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))) (*.f64 alpha (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))))
(+.f64 (*.f64 (+.f64 2 alpha) (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))) (*.f64 beta (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))))
(+.f64 (*.f64 (/.f64 -2 (-.f64 -1 beta)) (+.f64 beta (+.f64 2 alpha))) (*.f64 (/.f64 (+.f64 beta alpha) (neg.f64 (-.f64 -1 beta))) (+.f64 beta (+.f64 2 alpha))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) 1)
(/.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (-.f64 2 (+.f64 beta alpha)))
(/.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (*.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) 2))))
(/.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (+.f64 beta (+.f64 2 alpha)))) (-.f64 -1 beta))
(/.f64 (*.f64 (neg.f64 (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha))) (-.f64 -1 beta))
(/.f64 (*.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))) (-.f64 2 (+.f64 beta alpha)))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))) (+.f64 4 (*.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (*.f64 (neg.f64 (+.f64 beta (+.f64 2 alpha))) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (*.f64 (-.f64 -1 beta) (-.f64 2 (+.f64 beta alpha))))
(/.f64 (*.f64 (neg.f64 (+.f64 beta (+.f64 2 alpha))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 -1 beta) (-.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (neg.f64 (+.f64 beta (+.f64 2 alpha))) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (*.f64 (-.f64 -1 beta) (+.f64 4 (*.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) 2)))))
(/.f64 (*.f64 (neg.f64 (+.f64 beta (+.f64 2 alpha))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (-.f64 -1 beta) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(/.f64 (*.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (neg.f64 (+.f64 beta (+.f64 2 alpha)))) (*.f64 (-.f64 2 (+.f64 beta alpha)) (-.f64 -1 beta)))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (neg.f64 (+.f64 beta (+.f64 2 alpha)))) (*.f64 (-.f64 alpha (+.f64 beta 2)) (-.f64 -1 beta)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (neg.f64 (+.f64 beta (+.f64 2 alpha)))) (*.f64 (+.f64 4 (*.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) 2))) (-.f64 -1 beta)))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (neg.f64 (+.f64 beta (+.f64 2 alpha)))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (-.f64 -1 beta)))
(pow.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) 3) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3) (pow.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))))
(exp.f64 (log.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 -1 beta)))) 1)
(*.f64 -1 (/.f64 1 (-.f64 -1 beta)))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) 1)
(*.f64 1 (/.f64 -1 (-.f64 -1 beta)))
(*.f64 (sqrt.f64 (/.f64 -1 (-.f64 -1 beta))) (sqrt.f64 (/.f64 -1 (-.f64 -1 beta))))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 -1 beta))) (pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -1 beta))) 2))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -1 beta))) 2) (/.f64 -1 (cbrt.f64 (-.f64 -1 beta))))
(*.f64 (/.f64 1 (-.f64 -1 beta)) -1)
(*.f64 (/.f64 -1 (-.f64 1 (*.f64 beta beta))) (+.f64 -1 beta))
(*.f64 (/.f64 -1 (-.f64 -1 (pow.f64 beta 3))) (+.f64 1 (*.f64 beta (+.f64 -1 beta))))
(pow.f64 (/.f64 -1 (-.f64 -1 beta)) 1)
(pow.f64 (sqrt.f64 (/.f64 -1 (-.f64 -1 beta))) 2)
(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -1 beta))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (-.f64 -1 beta)) 3) 1/3)
(pow.f64 (-.f64 1 (/.f64 beta -1)) -1)
(pow.f64 (neg.f64 (-.f64 -1 beta)) -1)
(neg.f64 (/.f64 1 (-.f64 -1 beta)))
(sqrt.f64 (/.f64 1 (pow.f64 (-.f64 -1 beta) 2)))
(log.f64 (exp.f64 (/.f64 -1 (-.f64 -1 beta))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (-.f64 -1 beta)))))
(cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 -1 beta)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 -1 beta))))
(exp.f64 (log.f64 (/.f64 -1 (-.f64 -1 beta))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (-.f64 -1 beta))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1 (-.f64 -1 beta))))
Outputs
(+.f64 2 alpha)
(+.f64 2 (+.f64 alpha (*.f64 -1 (*.f64 beta (+.f64 1 alpha)))))
(+.f64 2 (+.f64 alpha (*.f64 (neg.f64 beta) (+.f64 alpha 1))))
(+.f64 (+.f64 2 alpha) (*.f64 (+.f64 alpha 1) (neg.f64 beta)))
(+.f64 2 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta 2)) (+.f64 alpha (*.f64 -1 (*.f64 beta (+.f64 1 alpha))))))
(+.f64 2 (fma.f64 (+.f64 alpha 1) (*.f64 beta beta) (+.f64 alpha (*.f64 (neg.f64 beta) (+.f64 alpha 1)))))
(+.f64 2 (fma.f64 (+.f64 alpha 1) (*.f64 beta beta) (+.f64 alpha (*.f64 (+.f64 alpha 1) (neg.f64 beta)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 1 alpha))) (+.f64 2 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta 2)) (+.f64 alpha (*.f64 -1 (*.f64 beta (+.f64 1 alpha)))))))
(fma.f64 -1 (*.f64 (+.f64 alpha 1) (pow.f64 beta 3)) (+.f64 2 (fma.f64 (+.f64 alpha 1) (*.f64 beta beta) (+.f64 alpha (*.f64 (neg.f64 beta) (+.f64 alpha 1))))))
(fma.f64 -1 (*.f64 (+.f64 alpha 1) (pow.f64 beta 3)) (+.f64 2 (fma.f64 (+.f64 alpha 1) (*.f64 beta beta) (+.f64 alpha (*.f64 (+.f64 alpha 1) (neg.f64 beta))))))
1
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) 1))
(+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 alpha beta)))
(+.f64 1 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) 1)))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (fma.f64 -1 (/.f64 (+.f64 alpha 1) (*.f64 beta beta)) 1)))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 1) (*.f64 beta beta)) 1) (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3)))))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 1) (*.f64 beta beta)) 1) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3))))))
(+.f64 (/.f64 alpha beta) (+.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 1) (*.f64 beta beta)) 1) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3)))) (/.f64 1 beta)))
1
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) 1))
(+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 alpha beta)))
(+.f64 1 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) 1)))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (fma.f64 -1 (/.f64 (+.f64 alpha 1) (*.f64 beta beta)) 1)))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 1) (*.f64 beta beta)) 1) (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3)))))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 1) (*.f64 beta beta)) 1) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3))))))
(+.f64 (/.f64 alpha beta) (+.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 alpha 1) (*.f64 beta beta)) 1) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3)))) (/.f64 1 beta)))
(/.f64 (+.f64 beta 2) (+.f64 beta 1))
(/.f64 (+.f64 2 beta) (+.f64 beta 1))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 -2 (-.f64 -1 beta))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 -2 (-.f64 -1 beta))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 -2 (-.f64 -1 beta))))
(/.f64 alpha (+.f64 beta 1))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 -2 (-.f64 -1 beta))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 -2 (-.f64 -1 beta))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 -2 (-.f64 -1 beta))))
(/.f64 alpha (+.f64 beta 1))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 -2 (-.f64 -1 beta))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 -2 (-.f64 -1 beta))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (/.f64 -2 (-.f64 -1 beta))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (*.f64 alpha (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 4))))))))
(+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (*.f64 alpha (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 4)))))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 4))))) alpha (neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 4))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 7)) (pow.f64 (+.f64 2 beta) 4)))))))))
(+.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2))) (fma.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 4)))) alpha (neg.f64 (*.f64 alpha (*.f64 alpha (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 4)))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 7)) (pow.f64 (+.f64 2 beta) 4)))))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (fma.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 4))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 7)) (pow.f64 (+.f64 2 beta) 4)))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 2 beta) 4))) (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 4))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2)) (+.f64 beta (+.f64 (*.f64 2 beta) 7)))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 2 beta) 4))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 4))))) alpha (neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 4))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 7)) (pow.f64 (+.f64 2 beta) 4))))))))))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
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(-.f64 (fma.f64 -1 (/.f64 (fma.f64 (fma.f64 (+.f64 alpha 1) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))) (neg.f64 (*.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (+.f64 1 (-.f64 alpha (*.f64 (+.f64 alpha 1) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)))))))) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (fma.f64 (+.f64 alpha 1) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 alpha 3)) (neg.f64 (*.f64 (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 (-.f64 alpha (*.f64 (+.f64 alpha 1) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha))))))))) (pow.f64 beta 5)) (+.f64 (/.f64 (*.f64 (+.f64 alpha 1) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 4)) (+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -1 (/.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (/.f64 (pow.f64 beta 4) (+.f64 1 (-.f64 alpha (*.f64 (+.f64 alpha 1) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha))))))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 3)) (/.f64 alpha (*.f64 beta beta)))))))) (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha))) (pow.f64 beta 3)))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 (fma.f64 (+.f64 alpha 1) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))) (neg.f64 (*.f64 (+.f64 7 (*.f64 alpha 3)) (+.f64 alpha (-.f64 1 (*.f64 (+.f64 alpha 1) (+.f64 7 (*.f64 alpha 3)))))))) (+.f64 7 (*.f64 alpha 3)) (fma.f64 (+.f64 alpha 1) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 alpha 3)) (neg.f64 (*.f64 (+.f64 alpha (-.f64 1 (*.f64 (+.f64 alpha 1) (+.f64 7 (*.f64 alpha 3))))) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))))))) (pow.f64 beta 5)) (+.f64 (fma.f64 -1 (/.f64 (+.f64 7 (*.f64 alpha 3)) (/.f64 (pow.f64 beta 4) (+.f64 alpha (-.f64 1 (*.f64 (+.f64 alpha 1) (+.f64 7 (*.f64 alpha 3))))))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 3)) (/.f64 alpha (*.f64 beta beta))))) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 alpha 1) (/.f64 (pow.f64 beta 4) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2)))))))) (/.f64 (+.f64 alpha 1) (/.f64 (pow.f64 beta 3) (+.f64 7 (*.f64 alpha 3)))))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta 1)) (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta 1)) (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1))))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta 1)) (+.f64 (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta 1)) (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1))))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta 1)) (+.f64 (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1))))
(/.f64 (pow.f64 alpha 2) (+.f64 beta 1))
(/.f64 (*.f64 alpha alpha) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta 1)) (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1))))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta 1)) (+.f64 (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta 1)) (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1))))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta 1)) (+.f64 (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1))))
(/.f64 (pow.f64 alpha 2) (+.f64 beta 1))
(/.f64 (*.f64 alpha alpha) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1))))
(+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)) (*.f64 2 (/.f64 (+.f64 2 beta) (/.f64 (+.f64 beta 1) alpha))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)))))
(+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta 1)) (*.f64 2 (/.f64 (+.f64 2 beta) (/.f64 (+.f64 beta 1) alpha)))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta 1)) (+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)) (*.f64 2 (/.f64 (+.f64 2 beta) (/.f64 (+.f64 beta 1) alpha)))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)))))
(+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta 1)) (*.f64 2 (/.f64 (+.f64 2 beta) (/.f64 (+.f64 beta 1) alpha)))))
(+.f64 (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta 1)) (+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)) (*.f64 2 (/.f64 (+.f64 2 beta) (/.f64 (+.f64 beta 1) alpha)))))
(pow.f64 (+.f64 2 alpha) 2)
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (-.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 4 (-.f64 (*.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (*.f64 2 alpha)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (-.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)))))
(fma.f64 (*.f64 beta beta) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (*.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 4 (-.f64 (*.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))))))
(fma.f64 (*.f64 beta beta) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (*.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (-.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 3 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (*.f64 2 alpha)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (-.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))))))
(fma.f64 (pow.f64 beta 3) (+.f64 3 (-.f64 (*.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))) (fma.f64 (*.f64 beta beta) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (*.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 4 (-.f64 (*.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))))))
(fma.f64 (pow.f64 beta 3) (+.f64 3 (-.f64 (*.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))) (fma.f64 (*.f64 beta beta) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (*.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (-.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))))))
beta
(+.f64 beta (+.f64 3 (*.f64 2 alpha)))
(+.f64 3 (+.f64 beta (*.f64 2 alpha)))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 3 (/.f64 1 beta))))
(+.f64 beta (-.f64 (+.f64 3 (fma.f64 2 alpha (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta))) (fma.f64 2 (/.f64 alpha beta) (/.f64 3 beta))))
(+.f64 beta (+.f64 3 (-.f64 (fma.f64 2 alpha (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)) (fma.f64 2 (/.f64 alpha beta) (/.f64 3 beta)))))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 (/.f64 alpha (pow.f64 beta 2))) (+.f64 (*.f64 2 alpha) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 3 (/.f64 1 beta)))))
(+.f64 beta (-.f64 (+.f64 3 (fma.f64 2 (/.f64 alpha (*.f64 beta beta)) (fma.f64 2 alpha (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta) (/.f64 3 (*.f64 beta beta)))))) (fma.f64 2 (/.f64 alpha beta) (+.f64 (/.f64 3 beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta))))))
(+.f64 beta (+.f64 3 (-.f64 (fma.f64 2 (/.f64 alpha (*.f64 beta beta)) (+.f64 (fma.f64 2 alpha (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)) (/.f64 3 (*.f64 beta beta)))) (+.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 3 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta))))))
beta
(+.f64 beta (*.f64 -1 (+.f64 1 (*.f64 -2 (+.f64 2 alpha)))))
(+.f64 beta (neg.f64 (+.f64 1 (+.f64 -4 (*.f64 -2 alpha)))))
(+.f64 beta (neg.f64 (+.f64 -3 (*.f64 alpha -2))))
(-.f64 (+.f64 beta (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -2 (+.f64 2 alpha)))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -2 (+.f64 2 alpha))) beta)))
(+.f64 beta (-.f64 (fma.f64 -1 (+.f64 1 (+.f64 -4 (*.f64 -2 alpha))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)) (/.f64 (neg.f64 (+.f64 1 (+.f64 -4 (*.f64 -2 alpha)))) beta)))
(+.f64 beta (-.f64 (fma.f64 -1 (+.f64 -3 (*.f64 alpha -2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)) (/.f64 (neg.f64 (+.f64 -3 (*.f64 alpha -2))) beta)))
(-.f64 (+.f64 beta (+.f64 (*.f64 -1 (+.f64 1 (*.f64 -2 (+.f64 2 alpha)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 -1 (+.f64 1 (*.f64 -2 (+.f64 2 alpha))))) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -2 (+.f64 2 alpha))) beta)))
(-.f64 (+.f64 beta (fma.f64 -1 (+.f64 1 (+.f64 -4 (*.f64 -2 alpha))) (fma.f64 -1 (/.f64 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (neg.f64 (+.f64 1 (+.f64 -4 (*.f64 -2 alpha))))) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))) (/.f64 (neg.f64 (+.f64 1 (+.f64 -4 (*.f64 -2 alpha)))) beta))
(+.f64 (fma.f64 -1 (+.f64 -3 (*.f64 alpha -2)) (fma.f64 -1 (/.f64 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (neg.f64 (+.f64 -3 (*.f64 alpha -2)))) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta))) (-.f64 beta (/.f64 (neg.f64 (+.f64 -3 (*.f64 alpha -2))) beta)))
1
(+.f64 (*.f64 -1 beta) 1)
(fma.f64 -1 beta 1)
(+.f64 (*.f64 -1 beta) (+.f64 1 (pow.f64 beta 2)))
(+.f64 (fma.f64 -1 beta 1) (*.f64 beta beta))
(+.f64 1 (*.f64 beta (+.f64 -1 beta)))
(+.f64 (*.f64 -1 beta) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 beta 3)) (pow.f64 beta 2))))
(+.f64 (fma.f64 -1 beta 1) (fma.f64 -1 (pow.f64 beta 3) (*.f64 beta beta)))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 beta 2)))
(-.f64 (/.f64 1 beta) (/.f64 1 (*.f64 beta beta)))
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 2)))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 1 (*.f64 beta beta))))
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 1 (pow.f64 beta 4))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 1 (pow.f64 beta 4)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 beta 2)))
(-.f64 (/.f64 1 beta) (/.f64 1 (*.f64 beta beta)))
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 2)))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 1 (*.f64 beta beta))))
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 1 (pow.f64 beta 4))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 1 (pow.f64 beta 4)))))
(+.f64 (/.f64 -2 (-.f64 -1 beta)) (/.f64 (+.f64 beta alpha) (neg.f64 (-.f64 -1 beta))))
(+.f64 (/.f64 -2 (-.f64 -1 beta)) (/.f64 (+.f64 alpha beta) (neg.f64 (-.f64 -1 beta))))
(+.f64 (/.f64 -2 (-.f64 -1 beta)) (/.f64 (+.f64 alpha beta) (+.f64 beta 1)))
(+.f64 (/.f64 (+.f64 beta alpha) (neg.f64 (-.f64 -1 beta))) (/.f64 -2 (-.f64 -1 beta)))
(+.f64 (/.f64 -2 (-.f64 -1 beta)) (/.f64 (+.f64 alpha beta) (neg.f64 (-.f64 -1 beta))))
(+.f64 (/.f64 -2 (-.f64 -1 beta)) (/.f64 (+.f64 alpha beta) (+.f64 beta 1)))
(+.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) alpha) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 beta 2)))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 (+.f64 2 alpha) beta))
(neg.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -1 beta)))
(+.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 beta 2)) (*.f64 (/.f64 -1 (-.f64 -1 beta)) alpha))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 (+.f64 2 alpha) beta))
(neg.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -1 beta)))
(+.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 alpha)) (*.f64 (/.f64 -1 (-.f64 -1 beta)) beta))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 (+.f64 2 alpha) beta))
(neg.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -1 beta)))
(+.f64 (*.f64 alpha (/.f64 -1 (-.f64 -1 beta))) (*.f64 (+.f64 beta 2) (/.f64 -1 (-.f64 -1 beta))))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 (+.f64 2 alpha) beta))
(neg.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -1 beta)))
(+.f64 (*.f64 (+.f64 beta 2) (/.f64 -1 (-.f64 -1 beta))) (*.f64 alpha (/.f64 -1 (-.f64 -1 beta))))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 (+.f64 2 alpha) beta))
(neg.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -1 beta)))
(+.f64 (*.f64 (+.f64 2 alpha) (/.f64 -1 (-.f64 -1 beta))) (*.f64 beta (/.f64 -1 (-.f64 -1 beta))))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 (+.f64 2 alpha) beta))
(neg.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -1 beta)))
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(/.f64 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (-.f64 -1 beta))
(/.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (-.f64 2 (+.f64 beta alpha)))
(/.f64 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (/.f64 (-.f64 (-.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 2 alpha) beta) (neg.f64 (-.f64 -1 beta)))))
(/.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta 1)) (/.f64 (-.f64 2 (+.f64 alpha beta)) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))))
(/.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (neg.f64 (-.f64 -1 beta))) (/.f64 (-.f64 alpha (+.f64 2 beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))))
(/.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta 1)) (/.f64 (-.f64 alpha (+.f64 2 beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))))
(/.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (*.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) 2))))
(/.f64 (*.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (neg.f64 (-.f64 -1 beta))) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 beta (-.f64 alpha 2)))))
(/.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta 1)) (/.f64 (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta -2)))) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))
(/.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (neg.f64 (-.f64 -1 beta))) (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 alpha)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))))
(/.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta 1)) (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))))
(/.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (+.f64 beta (+.f64 2 alpha)))) (-.f64 -1 beta))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (-.f64 -1 beta))
(/.f64 (*.f64 (neg.f64 (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha))) (-.f64 -1 beta))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (-.f64 -1 beta))
(/.f64 (*.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))) (-.f64 2 (+.f64 beta alpha)))
(/.f64 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (/.f64 (-.f64 (-.f64 2 beta) alpha) (/.f64 (+.f64 (+.f64 2 alpha) beta) (neg.f64 (-.f64 -1 beta)))))
(/.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta 1)) (/.f64 (-.f64 2 (+.f64 alpha beta)) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (neg.f64 (-.f64 -1 beta))) (/.f64 (-.f64 alpha (+.f64 2 beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))))
(/.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta 1)) (/.f64 (-.f64 alpha (+.f64 2 beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))) (+.f64 4 (*.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) 2))))
(/.f64 (*.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (neg.f64 (-.f64 -1 beta))) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 beta (-.f64 alpha 2)))))
(/.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta 1)) (/.f64 (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta -2)))) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta)))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (neg.f64 (-.f64 -1 beta))) (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 alpha)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))))
(/.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta 1)) (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))))
(/.f64 (*.f64 (neg.f64 (+.f64 beta (+.f64 2 alpha))) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (*.f64 (-.f64 -1 beta) (-.f64 2 (+.f64 beta alpha))))
(*.f64 (/.f64 (neg.f64 (+.f64 (+.f64 2 alpha) beta)) (-.f64 -1 beta)) (/.f64 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (-.f64 (-.f64 2 beta) alpha)))
(*.f64 (neg.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -1 beta))) (/.f64 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (-.f64 2 (+.f64 alpha beta))))
(/.f64 (*.f64 (neg.f64 (+.f64 beta (+.f64 2 alpha))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 -1 beta) (-.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (neg.f64 (+.f64 (+.f64 2 alpha) beta)) (-.f64 -1 beta)) (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (-.f64 alpha (+.f64 2 beta))))
(/.f64 (neg.f64 (+.f64 alpha (+.f64 2 beta))) (/.f64 (*.f64 (-.f64 -1 beta) (-.f64 alpha (+.f64 2 beta))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))))
(/.f64 (*.f64 (neg.f64 (+.f64 beta (+.f64 2 alpha))) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (*.f64 (-.f64 -1 beta) (+.f64 4 (*.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) 2)))))
(/.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (/.f64 (*.f64 (-.f64 -1 beta) (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 beta (-.f64 alpha 2))))) (neg.f64 (+.f64 (+.f64 2 alpha) beta))))
(/.f64 (/.f64 (*.f64 (neg.f64 (+.f64 alpha (+.f64 2 beta))) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (-.f64 -1 beta)) (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta -2)))))
(/.f64 (*.f64 (neg.f64 (+.f64 beta (+.f64 2 alpha))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (-.f64 -1 beta) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(/.f64 (/.f64 (*.f64 (neg.f64 (+.f64 (+.f64 2 alpha) beta)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) (-.f64 -1 beta)) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 alpha)))))
(/.f64 (/.f64 (*.f64 (neg.f64 (+.f64 alpha (+.f64 2 beta))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha)))) (-.f64 -1 beta))
(/.f64 (*.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (neg.f64 (+.f64 beta (+.f64 2 alpha)))) (*.f64 (-.f64 2 (+.f64 beta alpha)) (-.f64 -1 beta)))
(*.f64 (/.f64 (neg.f64 (+.f64 (+.f64 2 alpha) beta)) (-.f64 -1 beta)) (/.f64 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (-.f64 (-.f64 2 beta) alpha)))
(*.f64 (neg.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 -1 beta))) (/.f64 (-.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (-.f64 2 (+.f64 alpha beta))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (neg.f64 (+.f64 beta (+.f64 2 alpha)))) (*.f64 (-.f64 alpha (+.f64 beta 2)) (-.f64 -1 beta)))
(*.f64 (/.f64 (neg.f64 (+.f64 (+.f64 2 alpha) beta)) (-.f64 -1 beta)) (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (-.f64 alpha (+.f64 2 beta))))
(/.f64 (neg.f64 (+.f64 alpha (+.f64 2 beta))) (/.f64 (*.f64 (-.f64 -1 beta) (-.f64 alpha (+.f64 2 beta))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (neg.f64 (+.f64 beta (+.f64 2 alpha)))) (*.f64 (+.f64 4 (*.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) 2))) (-.f64 -1 beta)))
(/.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (/.f64 (*.f64 (-.f64 -1 beta) (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 beta (-.f64 alpha 2))))) (neg.f64 (+.f64 (+.f64 2 alpha) beta))))
(/.f64 (/.f64 (*.f64 (neg.f64 (+.f64 alpha (+.f64 2 beta))) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (-.f64 -1 beta)) (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta -2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (neg.f64 (+.f64 beta (+.f64 2 alpha)))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (-.f64 -1 beta)))
(/.f64 (/.f64 (*.f64 (neg.f64 (+.f64 (+.f64 2 alpha) beta)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) (-.f64 -1 beta)) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 alpha)))))
(/.f64 (/.f64 (*.f64 (neg.f64 (+.f64 alpha (+.f64 2 beta))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (-.f64 (+.f64 2 beta) alpha)))) (-.f64 -1 beta))
(pow.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) 1)
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (-.f64 -1 beta))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) 2)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))) 2)
(pow.f64 (sqrt.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (-.f64 -1 beta))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) 3)
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (-.f64 -1 beta))
(pow.f64 (pow.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) 3) 1/3)
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (-.f64 -1 beta))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)) 2))
(sqrt.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (-.f64 -1 beta)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (-.f64 -1 beta))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (-.f64 -1 beta))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) 3))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (-.f64 -1 beta))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) 3) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (neg.f64 (-.f64 -1 beta))) 3) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta 1)) 3) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3) (pow.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 -1 beta))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (neg.f64 (-.f64 -1 beta))) 3) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 beta 1)) 3) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (-.f64 -1 beta))
(exp.f64 (log.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (-.f64 -1 beta))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) 1))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (-.f64 -1 beta))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (neg.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (-.f64 -1 beta))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 -1 beta)))) 1)
(/.f64 -1 (-.f64 -1 beta))
(*.f64 -1 (/.f64 1 (-.f64 -1 beta)))
(/.f64 -1 (-.f64 -1 beta))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) 1)
(/.f64 -1 (-.f64 -1 beta))
(*.f64 1 (/.f64 -1 (-.f64 -1 beta)))
(/.f64 -1 (-.f64 -1 beta))
(*.f64 (sqrt.f64 (/.f64 -1 (-.f64 -1 beta))) (sqrt.f64 (/.f64 -1 (-.f64 -1 beta))))
(/.f64 -1 (-.f64 -1 beta))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 -1 beta))) (pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -1 beta))) 2))
(/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 3))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -1 beta))) 2) (/.f64 -1 (cbrt.f64 (-.f64 -1 beta))))
(/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 3))
(*.f64 (/.f64 1 (-.f64 -1 beta)) -1)
(/.f64 -1 (-.f64 -1 beta))
(*.f64 (/.f64 -1 (-.f64 1 (*.f64 beta beta))) (+.f64 -1 beta))
(*.f64 (/.f64 -1 (-.f64 -1 (pow.f64 beta 3))) (+.f64 1 (*.f64 beta (+.f64 -1 beta))))
(/.f64 (*.f64 -1 (+.f64 1 (*.f64 beta (+.f64 -1 beta)))) (-.f64 -1 (pow.f64 beta 3)))
(pow.f64 (/.f64 -1 (-.f64 -1 beta)) 1)
(/.f64 -1 (-.f64 -1 beta))
(pow.f64 (sqrt.f64 (/.f64 -1 (-.f64 -1 beta))) 2)
(/.f64 -1 (-.f64 -1 beta))
(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -1 beta))) 3)
(/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 3))
(pow.f64 (pow.f64 (/.f64 -1 (-.f64 -1 beta)) 3) 1/3)
(/.f64 -1 (-.f64 -1 beta))
(pow.f64 (-.f64 1 (/.f64 beta -1)) -1)
(/.f64 1 (-.f64 1 (/.f64 beta -1)))
(pow.f64 (neg.f64 (-.f64 -1 beta)) -1)
(/.f64 -1 (-.f64 -1 beta))
(neg.f64 (/.f64 1 (-.f64 -1 beta)))
(/.f64 -1 (-.f64 -1 beta))
(sqrt.f64 (/.f64 1 (pow.f64 (-.f64 -1 beta) 2)))
(log.f64 (exp.f64 (/.f64 -1 (-.f64 -1 beta))))
(/.f64 -1 (-.f64 -1 beta))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (-.f64 -1 beta)))))
(/.f64 -1 (-.f64 -1 beta))
(cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 -1 beta)) 3))
(/.f64 -1 (-.f64 -1 beta))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 -1 beta))))
(/.f64 -1 (-.f64 -1 beta))
(exp.f64 (log.f64 (/.f64 -1 (-.f64 -1 beta))))
(/.f64 -1 (-.f64 -1 beta))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (-.f64 -1 beta))) 1))
(/.f64 -1 (-.f64 -1 beta))
(log1p.f64 (expm1.f64 (/.f64 -1 (-.f64 -1 beta))))
(/.f64 -1 (-.f64 -1 beta))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.02%
(/.f64 (+.f64 1 alpha) beta)
0.4%
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
Compiler

Compiled 25 to 16 computations (36% saved)

series2.0ms (0%)

Counts
2 → 36
Calls

12 calls:

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

rewrite85.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1262×associate-/r*
1234×associate-/l*
922×*-commutative
562×swap-sqr
534×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
119732
2267432
Stop Event
node limit
Counts
2 → 192
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (+.f64 1 alpha) beta)
Outputs
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simplify119.0ms (0.6%)

Algorithm
egg-herbie
Rules
1150×unswap-sqr
676×associate-/r*
668×associate-/l*
660×associate-/l/
570×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04816666
113475968
258945956
Stop Event
node limit
Counts
228 → 276
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(/.f64 alpha (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(/.f64 alpha (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 alpha beta)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 alpha beta)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)))) 1)
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
(/.f64 1 (/.f64 (*.f64 beta (neg.f64 beta)) (-.f64 -1 alpha)))
(/.f64 1 (*.f64 (*.f64 beta (sqrt.f64 (/.f64 beta (+.f64 1 alpha)))) (sqrt.f64 (/.f64 beta (+.f64 1 alpha)))))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (/.f64 (*.f64 beta (neg.f64 beta)) -1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 alpha)))
(/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 1)
(/.f64 (pow.f64 beta -1/2) (/.f64 beta (/.f64 (+.f64 1 alpha) (sqrt.f64 beta))))
(/.f64 (pow.f64 beta -1/2) (/.f64 (/.f64 beta (+.f64 1 alpha)) (pow.f64 beta -1/2)))
(/.f64 (pow.f64 beta -1/2) (*.f64 (/.f64 beta (+.f64 1 alpha)) (sqrt.f64 beta)))
(/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (*.f64 beta beta) (hypot.f64 1 (sqrt.f64 alpha))))
(/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 beta (*.f64 (/.f64 1 beta) (hypot.f64 1 (sqrt.f64 alpha)))))
(/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (*.f64 beta (sqrt.f64 (/.f64 beta (+.f64 1 alpha)))) (pow.f64 beta -1/2)))
(/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (*.f64 beta (neg.f64 beta)) (neg.f64 (hypot.f64 1 (sqrt.f64 alpha)))))
(/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 beta (/.f64 beta (hypot.f64 1 (sqrt.f64 alpha)))))
(/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (*.f64 beta (sqrt.f64 (/.f64 beta (+.f64 1 alpha)))) (sqrt.f64 beta)))
(/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (*.f64 beta (sqrt.f64 (/.f64 beta (+.f64 1 alpha)))))
(/.f64 (/.f64 1 (cbrt.f64 beta)) (/.f64 (/.f64 beta (+.f64 1 alpha)) (cbrt.f64 (pow.f64 beta -2))))
(/.f64 (cbrt.f64 (pow.f64 beta -2)) (/.f64 (/.f64 beta (+.f64 1 alpha)) (/.f64 1 (cbrt.f64 beta))))
(/.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 (*.f64 beta beta) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (/.f64 (*.f64 beta beta) (cbrt.f64 (+.f64 1 alpha))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (/.f64 beta (*.f64 (/.f64 1 beta) (cbrt.f64 (+.f64 1 alpha)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (/.f64 (*.f64 beta (neg.f64 beta)) (neg.f64 (cbrt.f64 (+.f64 1 alpha)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 beta (/.f64 beta (cbrt.f64 (+.f64 1 alpha)))))
(/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (/.f64 beta (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2)))
(/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (/.f64 (*.f64 beta (sqrt.f64 (/.f64 beta (+.f64 1 alpha)))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)))))
(/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (/.f64 (/.f64 beta (cbrt.f64 (/.f64 (+.f64 1 alpha) beta))) (cbrt.f64 (/.f64 (+.f64 1 alpha) beta))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (/.f64 beta (cbrt.f64 (/.f64 (+.f64 1 alpha) beta))))
(/.f64 (pow.f64 beta -2) (/.f64 1 (+.f64 1 alpha)))
(/.f64 (-.f64 1 (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) (/.f64 1 (-.f64 1 alpha))))
(/.f64 (-.f64 1 (*.f64 alpha alpha)) (*.f64 (*.f64 beta beta) (-.f64 1 alpha)))
(/.f64 (-.f64 1 (*.f64 alpha alpha)) (*.f64 beta (*.f64 beta (-.f64 1 alpha))))
(/.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (*.f64 beta beta) (/.f64 1 (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha)))))
(/.f64 (+.f64 1 (pow.f64 alpha 3)) (*.f64 (*.f64 beta beta) (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha))))
(/.f64 (+.f64 1 (pow.f64 alpha 3)) (*.f64 beta (+.f64 beta (*.f64 (-.f64 (*.f64 alpha alpha) alpha) beta))))
(/.f64 (-.f64 -1 alpha) (*.f64 beta (neg.f64 beta)))
(/.f64 (-.f64 -1 alpha) (/.f64 beta (/.f64 -1 beta)))
(/.f64 (-.f64 -1 alpha) (/.f64 (*.f64 beta (neg.f64 beta)) 1))
(/.f64 (-.f64 -1 alpha) (/.f64 (neg.f64 beta) (/.f64 1 beta)))
(/.f64 (-.f64 -1 alpha) (/.f64 (*.f64 beta beta) -1))
(/.f64 -1 (*.f64 (/.f64 beta (+.f64 1 alpha)) (neg.f64 beta)))
(/.f64 -1 (/.f64 (/.f64 beta (+.f64 1 alpha)) (/.f64 -1 beta)))
(/.f64 -1 (/.f64 (*.f64 beta (neg.f64 beta)) (+.f64 1 alpha)))
(/.f64 -1 (/.f64 (neg.f64 beta) (/.f64 (+.f64 1 alpha) beta)))
(/.f64 -1 (/.f64 (*.f64 beta beta) (-.f64 -1 alpha)))
(/.f64 -1 (*.f64 beta (/.f64 beta (-.f64 -1 alpha))))
(/.f64 (sqrt.f64 (-.f64 -1 alpha)) (/.f64 (*.f64 beta (neg.f64 beta)) (sqrt.f64 (-.f64 -1 alpha))))
(/.f64 (sqrt.f64 (-.f64 -1 alpha)) (*.f64 (*.f64 beta (sqrt.f64 (/.f64 beta (+.f64 1 alpha)))) (sqrt.f64 (neg.f64 beta))))
(/.f64 (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta))) (/.f64 (*.f64 beta (sqrt.f64 (/.f64 beta (+.f64 1 alpha)))) (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2)) (/.f64 (*.f64 beta (sqrt.f64 (/.f64 beta (+.f64 1 alpha)))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2)) (/.f64 (/.f64 beta (cbrt.f64 (/.f64 (+.f64 1 alpha) beta))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 -1 alpha)) (cbrt.f64 (-.f64 -1 alpha))) (/.f64 (*.f64 beta (neg.f64 beta)) (cbrt.f64 (-.f64 -1 alpha))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2))) (/.f64 (/.f64 beta (cbrt.f64 (/.f64 (+.f64 1 alpha) beta))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2))))
(/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -1/2)) (/.f64 beta (pow.f64 beta -1/2)))
(/.f64 (*.f64 (+.f64 1 alpha) (cbrt.f64 (pow.f64 beta -2))) (/.f64 beta (/.f64 1 (cbrt.f64 beta))))
(/.f64 (/.f64 (-.f64 -1 alpha) beta) (neg.f64 beta))
(/.f64 (*.f64 (/.f64 1 beta) (-.f64 1 (*.f64 alpha alpha))) (*.f64 beta (-.f64 1 alpha)))
(/.f64 (*.f64 (/.f64 1 beta) (+.f64 1 (pow.f64 alpha 3))) (+.f64 beta (*.f64 (-.f64 (*.f64 alpha alpha) alpha) beta)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (sqrt.f64 beta))) (sqrt.f64 beta))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 beta (/.f64 (+.f64 1 alpha) (cbrt.f64 beta))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (*.f64 (/.f64 beta (+.f64 1 alpha)) (cbrt.f64 beta)))
(/.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 beta)) (*.f64 beta (sqrt.f64 beta)))
(/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 beta) 2)) (*.f64 beta (cbrt.f64 beta)))
(/.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 alpha))) (/.f64 (*.f64 beta (neg.f64 beta)) (hypot.f64 1 (sqrt.f64 alpha))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2)) (/.f64 (*.f64 beta (neg.f64 beta)) (cbrt.f64 (+.f64 1 alpha))))
(/.f64 (neg.f64 (-.f64 1 (*.f64 alpha alpha))) (*.f64 (*.f64 beta beta) (neg.f64 (-.f64 1 alpha))))
(/.f64 (neg.f64 (-.f64 1 (*.f64 alpha alpha))) (*.f64 beta (*.f64 (-.f64 1 alpha) (neg.f64 beta))))
(/.f64 (neg.f64 (-.f64 1 (*.f64 alpha alpha))) (*.f64 (*.f64 beta (neg.f64 beta)) (-.f64 1 alpha)))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 alpha 3))) (*.f64 (*.f64 beta beta) (+.f64 -1 (neg.f64 (-.f64 (*.f64 alpha alpha) alpha)))))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 alpha 3))) (*.f64 beta (*.f64 (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha)) (neg.f64 beta))))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 alpha 3))) (*.f64 (*.f64 beta (neg.f64 beta)) (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha))))
(/.f64 (-.f64 (*.f64 alpha alpha) 1) (*.f64 (*.f64 beta beta) (-.f64 alpha 1)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (cbrt.f64 beta))) (pow.f64 (cbrt.f64 beta) 2))
(/.f64 (/.f64 (pow.f64 beta -1/2) beta) (/.f64 (sqrt.f64 beta) (+.f64 1 alpha)))
(/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) 1) (/.f64 beta (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) beta)))
(/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 beta (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 beta))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 beta (/.f64 (cbrt.f64 (+.f64 1 alpha)) beta)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 beta)) (/.f64 beta (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 beta))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 beta (cbrt.f64 (/.f64 (+.f64 1 alpha) beta))))
(/.f64 (pow.f64 (sqrt.f64 beta) -1) (/.f64 (/.f64 beta (+.f64 1 alpha)) (pow.f64 (sqrt.f64 beta) -1)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 beta) 2) -1) (/.f64 (/.f64 beta (+.f64 1 alpha)) (pow.f64 (cbrt.f64 beta) -1)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 beta) 2))) (pow.f64 (cbrt.f64 beta) 2))
(/.f64 (/.f64 (/.f64 1 beta) (sqrt.f64 (/.f64 beta (+.f64 1 alpha)))) (sqrt.f64 (/.f64 beta (+.f64 1 alpha))))
(/.f64 (/.f64 (/.f64 1 beta) (*.f64 (cbrt.f64 (/.f64 beta (+.f64 1 alpha))) (cbrt.f64 (/.f64 beta (+.f64 1 alpha))))) (cbrt.f64 (/.f64 beta (+.f64 1 alpha))))
(/.f64 (/.f64 (/.f64 1 beta) (/.f64 beta (-.f64 1 (*.f64 alpha alpha)))) (-.f64 1 alpha))
(/.f64 (/.f64 (/.f64 1 beta) (/.f64 beta (+.f64 1 (pow.f64 alpha 3)))) (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha)))
(/.f64 (/.f64 (/.f64 1 beta) (/.f64 1 (hypot.f64 1 (sqrt.f64 alpha)))) (/.f64 beta (hypot.f64 1 (sqrt.f64 alpha))))
(/.f64 (/.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2))) (/.f64 beta (cbrt.f64 (+.f64 1 alpha))))
(/.f64 (/.f64 (/.f64 1 beta) (/.f64 (sqrt.f64 beta) (hypot.f64 1 (sqrt.f64 alpha)))) (/.f64 (sqrt.f64 beta) (hypot.f64 1 (sqrt.f64 alpha))))
(/.f64 (/.f64 (/.f64 1 beta) (/.f64 (sqrt.f64 beta) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2))) (/.f64 (sqrt.f64 beta) (cbrt.f64 (+.f64 1 alpha))))
(/.f64 (/.f64 (/.f64 1 beta) (/.f64 (pow.f64 (cbrt.f64 beta) 2) 1)) (/.f64 (cbrt.f64 beta) (+.f64 1 alpha)))
(/.f64 (/.f64 (/.f64 1 beta) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (hypot.f64 1 (sqrt.f64 alpha)))) (/.f64 (cbrt.f64 beta) (hypot.f64 1 (sqrt.f64 alpha))))
(/.f64 (/.f64 (/.f64 1 beta) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2))) (/.f64 (cbrt.f64 beta) (cbrt.f64 (+.f64 1 alpha))))
(/.f64 (/.f64 (/.f64 (-.f64 -1 alpha) beta) 1) (neg.f64 beta))
(/.f64 (/.f64 (/.f64 (-.f64 -1 alpha) beta) (sqrt.f64 beta)) (neg.f64 (sqrt.f64 beta)))
(/.f64 (/.f64 (/.f64 (-.f64 -1 alpha) beta) (pow.f64 (cbrt.f64 beta) 2)) (neg.f64 (cbrt.f64 beta)))
(/.f64 (/.f64 (/.f64 (-.f64 -1 alpha) beta) -1) beta)
(/.f64 (/.f64 (/.f64 (-.f64 -1 alpha) beta) (sqrt.f64 (neg.f64 beta))) (sqrt.f64 (neg.f64 beta)))
(/.f64 (/.f64 (/.f64 (-.f64 -1 alpha) beta) (*.f64 (cbrt.f64 (neg.f64 beta)) (cbrt.f64 (neg.f64 beta)))) (cbrt.f64 (neg.f64 beta)))
(/.f64 (/.f64 (/.f64 (-.f64 -1 alpha) beta) (neg.f64 (sqrt.f64 beta))) (sqrt.f64 beta))
(/.f64 (/.f64 (/.f64 (-.f64 -1 alpha) beta) (neg.f64 (pow.f64 (cbrt.f64 beta) 2))) (cbrt.f64 beta))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (sqrt.f64 beta))) 1) (sqrt.f64 beta))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (sqrt.f64 beta))) (cbrt.f64 beta)) (cbrt.f64 (sqrt.f64 beta)))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (sqrt.f64 beta))) (sqrt.f64 (pow.f64 (cbrt.f64 beta) 2))) (sqrt.f64 (cbrt.f64 beta)))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (sqrt.f64 beta))) (sqrt.f64 (sqrt.f64 beta))) (sqrt.f64 (sqrt.f64 beta)))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (cbrt.f64 beta) 2)) 1) (cbrt.f64 beta))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (cbrt.f64 beta) 2)) (sqrt.f64 (cbrt.f64 beta))) (sqrt.f64 (cbrt.f64 beta)))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (cbrt.f64 beta) 2)) (*.f64 (cbrt.f64 (cbrt.f64 beta)) (cbrt.f64 (cbrt.f64 beta)))) (cbrt.f64 (cbrt.f64 beta)))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 beta) 2))) (cbrt.f64 (cbrt.f64 beta)))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (sqrt.f64 beta))) (cbrt.f64 (sqrt.f64 beta)))
(pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 1)
(pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) beta) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 3) 1/3)
(neg.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (neg.f64 beta)))
(neg.f64 (*.f64 (/.f64 (-.f64 -1 alpha) beta) (/.f64 1 beta)))
(neg.f64 (*.f64 (/.f64 1 beta) (/.f64 (-.f64 -1 alpha) beta)))
(neg.f64 (/.f64 (/.f64 (-.f64 -1 alpha) beta) beta))
(neg.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (neg.f64 beta))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 2))
(log.f64 (exp.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 3))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 beta 3)) (pow.f64 (/.f64 (+.f64 1 alpha) beta) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 alpha) beta) 3) (pow.f64 beta 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))
(exp.f64 (+.f64 (log1p.f64 alpha) (*.f64 (log.f64 beta) -2)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2))))
(+.f64 (/.f64 1 beta) (*.f64 (/.f64 1 beta) alpha))
(+.f64 (/.f64 1 beta) (*.f64 alpha (/.f64 1 beta)))
(+.f64 (*.f64 (/.f64 1 beta) alpha) (/.f64 1 beta))
(+.f64 (*.f64 alpha (/.f64 1 beta)) (/.f64 1 beta))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) beta))) 1)
(*.f64 1 (/.f64 (+.f64 1 alpha) beta))
(*.f64 (+.f64 1 alpha) (/.f64 1 beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) 1)
(*.f64 (/.f64 1 beta) (+.f64 1 alpha))
(*.f64 (pow.f64 beta -1/2) (*.f64 (+.f64 1 alpha) (pow.f64 beta -1/2)))
(*.f64 (pow.f64 beta -1/2) (/.f64 (+.f64 1 alpha) (sqrt.f64 beta)))
(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (/.f64 1 beta) (hypot.f64 1 (sqrt.f64 alpha))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) beta) (hypot.f64 1 (sqrt.f64 alpha)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) beta) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) 1))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)))
(*.f64 (/.f64 1 (cbrt.f64 beta)) (*.f64 (+.f64 1 alpha) (cbrt.f64 (pow.f64 beta -2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 (/.f64 1 beta) (cbrt.f64 (+.f64 1 alpha))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)))
(*.f64 (-.f64 -1 alpha) (/.f64 -1 beta))
(*.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -1/2)) (pow.f64 beta -1/2))
(*.f64 (*.f64 (+.f64 1 alpha) (cbrt.f64 (pow.f64 beta -2))) (/.f64 1 (cbrt.f64 beta)))
(*.f64 (*.f64 (/.f64 1 beta) (hypot.f64 1 (sqrt.f64 alpha))) (hypot.f64 1 (sqrt.f64 alpha)))
(*.f64 (*.f64 (/.f64 1 beta) (cbrt.f64 (+.f64 1 alpha))) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2))
(*.f64 (/.f64 (-.f64 -1 alpha) beta) -1)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 beta)))
(*.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 beta)) (pow.f64 beta -1/2))
(*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 1 (cbrt.f64 beta)))
(*.f64 (/.f64 (+.f64 1 alpha) (cbrt.f64 beta)) (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (/.f64 -1 beta) (-.f64 -1 alpha))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) beta))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 beta)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 beta)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) beta))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 alpha)) beta) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 beta)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 beta)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) beta) (cbrt.f64 (+.f64 1 alpha)))
(*.f64 (/.f64 1 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2))) (cbrt.f64 (+.f64 1 alpha)))
(*.f64 (/.f64 (*.f64 (/.f64 1 beta) (-.f64 1 (*.f64 alpha alpha))) (-.f64 1 (*.f64 alpha alpha))) (+.f64 1 alpha))
(*.f64 (/.f64 (*.f64 (/.f64 1 beta) (-.f64 1 (*.f64 alpha alpha))) (-.f64 1 (pow.f64 alpha 3))) (+.f64 1 (+.f64 alpha (*.f64 alpha alpha))))
(*.f64 (/.f64 (*.f64 (/.f64 1 beta) (+.f64 1 (pow.f64 alpha 3))) (-.f64 1 (*.f64 (-.f64 (*.f64 alpha alpha) alpha) (-.f64 (*.f64 alpha alpha) alpha)))) (+.f64 (-.f64 1 (*.f64 alpha alpha)) alpha))
(*.f64 (/.f64 (*.f64 (/.f64 1 beta) (+.f64 1 (pow.f64 alpha 3))) (+.f64 1 (pow.f64 (-.f64 (*.f64 alpha alpha) alpha) 3))) (+.f64 1 (*.f64 (-.f64 (*.f64 alpha alpha) alpha) (-.f64 (-.f64 (*.f64 alpha alpha) alpha) 1))))
(pow.f64 (/.f64 (+.f64 1 alpha) beta) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) beta) 3) 1/3)
(pow.f64 (/.f64 beta (+.f64 1 alpha)) -1)
(neg.f64 (/.f64 (-.f64 -1 alpha) beta))
(neg.f64 (/.f64 (/.f64 (-.f64 -1 alpha) beta) 1))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) beta) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) beta))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) beta) 3))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 beta 3)) (pow.f64 (+.f64 1 alpha) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 beta 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) beta)))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 beta)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) beta)))
Outputs
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
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(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (/.f64 (+.f64 1 alpha) beta) 1)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (/.f64 1 beta) (+.f64 1 alpha))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (pow.f64 beta -1/2) (*.f64 (+.f64 1 alpha) (pow.f64 beta -1/2)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (pow.f64 beta -1/2) (/.f64 (+.f64 1 alpha) (sqrt.f64 beta)))
(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (/.f64 1 beta) (hypot.f64 1 (sqrt.f64 alpha))))
(*.f64 (/.f64 1 beta) (*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (hypot.f64 1 (sqrt.f64 alpha))))
(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) beta))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) beta) (hypot.f64 1 (sqrt.f64 alpha)))
(*.f64 (/.f64 1 beta) (*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (hypot.f64 1 (sqrt.f64 alpha))))
(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) beta))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) beta) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) 1))
(*.f64 (/.f64 1 beta) (*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (hypot.f64 1 (sqrt.f64 alpha))))
(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) beta))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (/.f64 1 (cbrt.f64 beta)) (*.f64 (+.f64 1 alpha) (cbrt.f64 (pow.f64 beta -2))))
(/.f64 (*.f64 (*.f64 (+.f64 1 alpha) (cbrt.f64 (pow.f64 beta -2))) 1) (cbrt.f64 beta))
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 beta)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 (/.f64 1 beta) (cbrt.f64 (+.f64 1 alpha))))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (-.f64 -1 alpha) (/.f64 -1 beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -1/2)) (pow.f64 beta -1/2))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (*.f64 (+.f64 1 alpha) (cbrt.f64 (pow.f64 beta -2))) (/.f64 1 (cbrt.f64 beta)))
(/.f64 (*.f64 (*.f64 (+.f64 1 alpha) (cbrt.f64 (pow.f64 beta -2))) 1) (cbrt.f64 beta))
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 beta)))
(*.f64 (*.f64 (/.f64 1 beta) (hypot.f64 1 (sqrt.f64 alpha))) (hypot.f64 1 (sqrt.f64 alpha)))
(*.f64 (/.f64 1 beta) (*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (hypot.f64 1 (sqrt.f64 alpha))))
(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) beta))
(*.f64 (*.f64 (/.f64 1 beta) (cbrt.f64 (+.f64 1 alpha))) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (/.f64 (-.f64 -1 alpha) beta) -1)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 beta)))
(/.f64 (/.f64 (+.f64 1 alpha) (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2))
(*.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 beta)) (pow.f64 beta -1/2))
(*.f64 (pow.f64 beta -1/2) (/.f64 (+.f64 1 alpha) (sqrt.f64 beta)))
(*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 1 (cbrt.f64 beta)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 beta)))
(/.f64 (/.f64 (+.f64 1 alpha) (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2))
(*.f64 (/.f64 (+.f64 1 alpha) (cbrt.f64 beta)) (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 beta)))
(/.f64 (/.f64 (+.f64 1 alpha) (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2))
(*.f64 (/.f64 -1 beta) (-.f64 -1 alpha))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) beta))
(*.f64 (/.f64 1 beta) (*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (hypot.f64 1 (sqrt.f64 alpha))))
(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) beta))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 beta)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 beta)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 alpha)) beta) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 beta)))
(/.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 beta)) (sqrt.f64 beta))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 beta)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 beta)))
(/.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 beta)) (sqrt.f64 beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) beta) (cbrt.f64 (+.f64 1 alpha)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (/.f64 1 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2))) (cbrt.f64 (+.f64 1 alpha)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (/.f64 (*.f64 (/.f64 1 beta) (-.f64 1 (*.f64 alpha alpha))) (-.f64 1 (*.f64 alpha alpha))) (+.f64 1 alpha))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (/.f64 (*.f64 (/.f64 1 beta) (-.f64 1 (*.f64 alpha alpha))) (-.f64 1 (pow.f64 alpha 3))) (+.f64 1 (+.f64 alpha (*.f64 alpha alpha))))
(*.f64 (/.f64 (/.f64 1 beta) (/.f64 (-.f64 1 (pow.f64 alpha 3)) (-.f64 1 (*.f64 alpha alpha)))) (+.f64 1 (+.f64 alpha (*.f64 alpha alpha))))
(*.f64 (/.f64 (-.f64 1 (*.f64 alpha alpha)) (*.f64 (-.f64 1 (pow.f64 alpha 3)) beta)) (+.f64 1 (fma.f64 alpha alpha alpha)))
(*.f64 (/.f64 (*.f64 (/.f64 1 beta) (+.f64 1 (pow.f64 alpha 3))) (-.f64 1 (*.f64 (-.f64 (*.f64 alpha alpha) alpha) (-.f64 (*.f64 alpha alpha) alpha)))) (+.f64 (-.f64 1 (*.f64 alpha alpha)) alpha))
(*.f64 (/.f64 (*.f64 (/.f64 1 beta) (+.f64 1 (pow.f64 alpha 3))) (-.f64 1 (*.f64 (-.f64 (*.f64 alpha alpha) alpha) (-.f64 (*.f64 alpha alpha) alpha)))) (-.f64 1 (-.f64 (*.f64 alpha alpha) alpha)))
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) beta) (-.f64 1 (*.f64 (-.f64 (*.f64 alpha alpha) alpha) (-.f64 (*.f64 alpha alpha) alpha)))) (-.f64 1 (-.f64 (*.f64 alpha alpha) alpha)))
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) beta) (-.f64 1 (*.f64 (-.f64 (*.f64 alpha alpha) alpha) (-.f64 (*.f64 alpha alpha) alpha)))) (+.f64 1 (-.f64 alpha (*.f64 alpha alpha))))
(*.f64 (/.f64 (*.f64 (/.f64 1 beta) (+.f64 1 (pow.f64 alpha 3))) (+.f64 1 (pow.f64 (-.f64 (*.f64 alpha alpha) alpha) 3))) (+.f64 1 (*.f64 (-.f64 (*.f64 alpha alpha) alpha) (-.f64 (-.f64 (*.f64 alpha alpha) alpha) 1))))
(*.f64 (/.f64 (*.f64 (/.f64 1 beta) (+.f64 1 (pow.f64 alpha 3))) (+.f64 1 (pow.f64 (-.f64 (*.f64 alpha alpha) alpha) 3))) (+.f64 1 (*.f64 (-.f64 (*.f64 alpha alpha) alpha) (+.f64 (-.f64 (*.f64 alpha alpha) alpha) -1))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (*.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 alpha alpha) alpha) 3)) beta)) (fma.f64 (-.f64 (*.f64 alpha alpha) alpha) (-.f64 (fma.f64 alpha alpha -1) alpha) 1))
(pow.f64 (/.f64 (+.f64 1 alpha) beta) 1)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 3)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) beta) 3) 1/3)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(pow.f64 (/.f64 beta (+.f64 1 alpha)) -1)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(neg.f64 (/.f64 (-.f64 -1 alpha) beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(neg.f64 (/.f64 (/.f64 (-.f64 -1 alpha) beta) 1))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) beta) 2))
(fabs.f64 (/.f64 (+.f64 1 alpha) beta))
(log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) beta))))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) beta) 3))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 beta 3)) (pow.f64 (+.f64 1 alpha) 3)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 beta 3)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 beta)))
(/.f64 (exp.f64 (log1p.f64 alpha)) beta)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) beta)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.11%
(*.f64 (*.f64 beta beta) (+.f64 (+.f64 alpha beta) 2))
7.12%
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
Compiler

Compiled 49 to 23 computations (53.1% saved)

series5.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite160.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1128×associate-/r/
910×associate-/l/
416×associate-+l+
370×+-commutative
326×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01368
130968
2481468
Stop Event
node limit
Counts
2 → 113
Calls
Call 1
Inputs
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
(*.f64 (*.f64 beta beta) (+.f64 (+.f64 alpha beta) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha (+.f64 beta 1)) (/.f64 (/.f64 1 beta) (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 1))) (*.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 1))) (*.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 1))) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 1))) (/.f64 (/.f64 1 beta) (*.f64 beta (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2))))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 1)) 2)) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 1))) (/.f64 (/.f64 1 beta) (*.f64 beta (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta beta)) (/.f64 (+.f64 alpha (-.f64 beta 2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta beta)) (/.f64 (-.f64 4 (-.f64 (*.f64 (+.f64 alpha beta) 2) (pow.f64 (+.f64 alpha beta) 2))) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 beta) (*.f64 beta (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (+.f64 alpha beta)) (/.f64 1 (*.f64 beta (neg.f64 (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 alpha (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(log.f64 (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 beta beta) (+.f64 alpha beta) (*.f64 beta (*.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 alpha beta) (*.f64 beta beta) (*.f64 beta (*.f64 beta 2)))))))

simplify130.0ms (0.6%)

Algorithm
egg-herbie
Rules
1586×associate-+r+
678×associate-/r*
632×associate-*r*
576×*-commutative
536×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048410261
115989663
271139663
Stop Event
node limit
Counts
161 → 255
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 beta 2) (+.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 2))) (+.f64 (*.f64 alpha (-.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 2))) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)))))) (/.f64 1 (*.f64 beta (+.f64 beta 2)))))
(+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 3)))) (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 2))) (+.f64 (*.f64 alpha (-.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 2))) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)))))) (/.f64 1 (*.f64 beta (+.f64 beta 2))))))
(+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 3)))) (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 4))) (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 2))) (+.f64 (*.f64 alpha (-.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 2))) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)))))) (/.f64 1 (*.f64 beta (+.f64 beta 2)))))))
(/.f64 1 (pow.f64 beta 2))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 1 (*.f64 (pow.f64 beta 2) alpha)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (/.f64 1 (*.f64 beta (pow.f64 alpha 2))))) (/.f64 1 (*.f64 (pow.f64 beta 2) alpha)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (pow.f64 beta 2) (pow.f64 alpha 3))))))) (/.f64 1 (*.f64 (pow.f64 beta 2) alpha)))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 beta 2)))) alpha)))
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 beta 2)))) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 beta 2)))) alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 beta 2)))) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 beta 2)))) alpha)))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 beta 2) (+.f64 2 alpha)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))))) (+.f64 (/.f64 alpha (*.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 2 alpha) 2)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))))) (+.f64 (/.f64 alpha (*.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))
(-.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (*.f64 beta (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))))))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (*.f64 beta (pow.f64 (+.f64 2 alpha) 2))))))
(/.f64 1 (pow.f64 beta 2))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 1 (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 4)) (*.f64 2 (/.f64 1 (pow.f64 beta 4))))) (/.f64 1 (pow.f64 beta 3)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 4)) (*.f64 2 (/.f64 1 (pow.f64 beta 4)))))) (/.f64 1 (pow.f64 beta 3)))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (+.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (+.f64 2 alpha))) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 4))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (+.f64 2 alpha))) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 4)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 5))))))
(*.f64 (pow.f64 beta 2) (+.f64 2 alpha))
(+.f64 (pow.f64 beta 3) (*.f64 (pow.f64 beta 2) (+.f64 2 alpha)))
(+.f64 (pow.f64 beta 3) (*.f64 (pow.f64 beta 2) (+.f64 2 alpha)))
(+.f64 (pow.f64 beta 3) (*.f64 (pow.f64 beta 2) (+.f64 2 alpha)))
(pow.f64 beta 3)
(+.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha)) (pow.f64 beta 3))
(+.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha)) (pow.f64 beta 3))
(+.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha)) (pow.f64 beta 3))
(pow.f64 beta 3)
(+.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha)) (pow.f64 beta 3))
(+.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha)) (pow.f64 beta 3))
(+.f64 (*.f64 (pow.f64 beta 2) (+.f64 2 alpha)) (pow.f64 beta 3))
(*.f64 (pow.f64 beta 2) (+.f64 beta 2))
(+.f64 (*.f64 (pow.f64 beta 2) (+.f64 beta 2)) (*.f64 (pow.f64 beta 2) alpha))
(+.f64 (*.f64 (pow.f64 beta 2) (+.f64 beta 2)) (*.f64 (pow.f64 beta 2) alpha))
(+.f64 (*.f64 (pow.f64 beta 2) (+.f64 beta 2)) (*.f64 (pow.f64 beta 2) alpha))
(*.f64 (pow.f64 beta 2) alpha)
(+.f64 (*.f64 (pow.f64 beta 2) (+.f64 beta 2)) (*.f64 (pow.f64 beta 2) alpha))
(+.f64 (*.f64 (pow.f64 beta 2) (+.f64 beta 2)) (*.f64 (pow.f64 beta 2) alpha))
(+.f64 (*.f64 (pow.f64 beta 2) (+.f64 beta 2)) (*.f64 (pow.f64 beta 2) alpha))
(*.f64 (pow.f64 beta 2) alpha)
(+.f64 (*.f64 (pow.f64 beta 2) (+.f64 beta 2)) (*.f64 (pow.f64 beta 2) alpha))
(+.f64 (*.f64 (pow.f64 beta 2) (+.f64 beta 2)) (*.f64 (pow.f64 beta 2) alpha))
(+.f64 (*.f64 (pow.f64 beta 2) (+.f64 beta 2)) (*.f64 (pow.f64 beta 2) alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2))))))) 1)
(*.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (+.f64 alpha (+.f64 beta 1)) (/.f64 (/.f64 1 beta) (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2))))) 1)
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 1))) (*.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 1))) (*.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 1))) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 1))) (/.f64 (/.f64 1 beta) (*.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2))))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2))))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 1)) 2)) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 1))) (/.f64 (/.f64 1 beta) (*.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta beta)) (/.f64 (+.f64 alpha (-.f64 beta 2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta beta)) (/.f64 (-.f64 4 (-.f64 (*.f64 (+.f64 alpha beta) 2) (pow.f64 (+.f64 alpha beta) 2))) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))
(*.f64 (/.f64 (/.f64 1 beta) (*.f64 beta (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 1)))
(*.f64 (-.f64 -1 (+.f64 alpha beta)) (/.f64 1 (*.f64 beta (neg.f64 (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 (/.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 alpha (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta beta)))
(*.f64 (/.f64 1 (*.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (pow.f64 beta 4)))) (/.f64 (+.f64 alpha (+.f64 beta 1)) (cbrt.f64 (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (*.f64 beta beta))) (+.f64 alpha (-.f64 beta 2)))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (*.f64 beta beta))) (-.f64 4 (-.f64 (*.f64 (+.f64 alpha beta) 2) (pow.f64 (+.f64 alpha beta) 2))))
(*.f64 (/.f64 1 (*.f64 beta (neg.f64 (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))) (-.f64 -1 (+.f64 alpha beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 1))) beta) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 1))) (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 1))) 1) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 1))) (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 1))) (*.f64 beta beta)) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 1))) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 1)) 2)) beta) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 1))) (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 1)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 1))) (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 1))) (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (+.f64 alpha (+.f64 beta 1))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 1))) (+.f64 alpha (+.f64 beta 2))) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 1))) (*.f64 beta beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 1))) (cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (pow.f64 beta 4)))) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 1))) (cbrt.f64 (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 1)) 2)) (*.f64 beta beta)) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 1))) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 1)) 2)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 1))) (*.f64 beta beta)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 1)) 2)) (*.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 1))) (*.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 1)) 2)) (cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (pow.f64 beta 4)))) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 (/.f64 1 (/.f64 (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 1))))) (sqrt.f64 (+.f64 alpha (+.f64 beta 1))))
(*.f64 (/.f64 1 (/.f64 (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 1)) 2)))) (cbrt.f64 (+.f64 alpha (+.f64 beta 1))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 beta beta) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (+.f64 alpha (-.f64 beta 2)))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 beta beta) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (-.f64 4 (-.f64 (*.f64 (+.f64 alpha beta) 2) (pow.f64 (+.f64 alpha beta) 2))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (-.f64 (*.f64 (*.f64 beta (*.f64 beta (+.f64 alpha beta))) (*.f64 beta (*.f64 beta (+.f64 alpha beta)))) (*.f64 (*.f64 beta (*.f64 beta 2)) (*.f64 beta (*.f64 beta 2))))) (-.f64 (*.f64 beta (*.f64 beta (+.f64 alpha beta))) (*.f64 beta (*.f64 beta 2))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (+.f64 (pow.f64 (*.f64 beta (*.f64 beta (+.f64 alpha beta))) 3) (pow.f64 (*.f64 beta (*.f64 beta 2)) 3))) (-.f64 (+.f64 (*.f64 (*.f64 beta (*.f64 beta (+.f64 alpha beta))) (*.f64 beta (*.f64 beta (+.f64 alpha beta)))) (*.f64 (*.f64 beta (*.f64 beta 2)) (*.f64 beta (*.f64 beta 2)))) (*.f64 (*.f64 beta (*.f64 beta (+.f64 alpha beta))) (*.f64 beta (*.f64 beta 2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 1)) 2)) (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2))))) (cbrt.f64 (+.f64 alpha (+.f64 beta 1))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta beta)) (-.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta 2) (+.f64 beta 2)))) (-.f64 alpha (+.f64 beta 2)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta beta)) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (-.f64 2 (+.f64 alpha beta)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta beta)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (-.f64 (+.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta 2) (+.f64 beta 2))) (*.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta beta)) (neg.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (neg.f64 (+.f64 alpha (-.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta beta)) (neg.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (neg.f64 (-.f64 4 (-.f64 (*.f64 (+.f64 alpha beta) 2) (pow.f64 (+.f64 alpha beta) 2)))))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 1) 2)) (/.f64 (/.f64 1 beta) (*.f64 beta (+.f64 alpha (+.f64 beta 2))))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 1) 2))) (+.f64 alpha (+.f64 beta 1)))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 1) 2)) (/.f64 (/.f64 1 beta) (*.f64 beta (+.f64 alpha (+.f64 beta 2))))) (-.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 1) 3))) (+.f64 (+.f64 (pow.f64 (+.f64 beta 1) 2) (*.f64 alpha alpha)) (+.f64 alpha (*.f64 alpha beta))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 1) 3)) (/.f64 (/.f64 1 beta) (*.f64 beta (+.f64 alpha (+.f64 beta 2))))) (-.f64 (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha)) (*.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (-.f64 1 alpha))) (*.f64 (+.f64 beta 1) (+.f64 beta (-.f64 1 alpha)))))) (-.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta 1) (+.f64 beta (-.f64 1 alpha)))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 1) 3)) (/.f64 (/.f64 1 beta) (*.f64 beta (+.f64 alpha (+.f64 beta 2))))) (+.f64 (pow.f64 (*.f64 alpha alpha) 3) (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (-.f64 1 alpha))) 3))) (+.f64 (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha)) (-.f64 (*.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (-.f64 1 alpha))) (*.f64 (+.f64 beta 1) (+.f64 beta (-.f64 1 alpha)))) (*.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta 1) (+.f64 beta (-.f64 1 alpha)))))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) beta) (*.f64 beta (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (+.f64 alpha (-.f64 beta 2)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) beta) (*.f64 beta (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (-.f64 4 (-.f64 (*.f64 (+.f64 alpha beta) 2) (pow.f64 (+.f64 alpha beta) 2))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (*.f64 beta beta))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (sqrt.f64 (+.f64 alpha (-.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (*.f64 beta beta))) (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (sqrt.f64 (-.f64 4 (-.f64 (*.f64 (+.f64 alpha beta) 2) (pow.f64 (+.f64 alpha beta) 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 beta beta))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4))) (cbrt.f64 (+.f64 alpha (-.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 beta beta))) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))) (cbrt.f64 (-.f64 4 (-.f64 (*.f64 (+.f64 alpha beta) 2) (pow.f64 (+.f64 alpha beta) 2)))))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2))))) 1)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 1))) (*.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2))))) 3) 1/3)
(pow.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 1))) (*.f64 beta beta)) -1)
(neg.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta (neg.f64 (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2))))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2))))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 1)) 3) (pow.f64 (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(exp.f64 (-.f64 (log1p.f64 (+.f64 alpha beta)) (log.f64 (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (+.f64 alpha beta)) (log.f64 (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(+.f64 (*.f64 beta (*.f64 beta 2)) (*.f64 beta (*.f64 beta (+.f64 alpha beta))))
(+.f64 (*.f64 beta (*.f64 beta (+.f64 alpha beta))) (*.f64 beta (*.f64 beta 2)))
(+.f64 (pow.f64 beta 3) (+.f64 (*.f64 (*.f64 beta beta) alpha) (*.f64 beta (*.f64 beta 2))))
(+.f64 (pow.f64 beta 3) (+.f64 (*.f64 alpha (*.f64 beta beta)) (*.f64 beta (*.f64 beta 2))))
(+.f64 (*.f64 (*.f64 beta beta) alpha) (*.f64 (*.f64 beta beta) (+.f64 beta 2)))
(+.f64 (*.f64 (*.f64 beta beta) alpha) (+.f64 (pow.f64 beta 3) (*.f64 beta (*.f64 beta 2))))
(+.f64 (*.f64 (*.f64 beta beta) (+.f64 beta 2)) (*.f64 (*.f64 beta beta) alpha))
(+.f64 (*.f64 (*.f64 beta (*.f64 beta (+.f64 alpha beta))) 1) (*.f64 (*.f64 beta (*.f64 beta 2)) 1))
(+.f64 (*.f64 (*.f64 beta (*.f64 beta 2)) 1) (*.f64 (*.f64 beta (*.f64 beta (+.f64 alpha beta))) 1))
(+.f64 (*.f64 alpha (*.f64 beta beta)) (*.f64 (+.f64 beta 2) (*.f64 beta beta)))
(+.f64 (*.f64 alpha (*.f64 beta beta)) (+.f64 (pow.f64 beta 3) (*.f64 beta (*.f64 beta 2))))
(+.f64 (*.f64 (+.f64 beta 2) (*.f64 beta beta)) (*.f64 alpha (*.f64 beta beta)))
(+.f64 (+.f64 (*.f64 beta (*.f64 beta 2)) (pow.f64 beta 3)) (*.f64 (*.f64 beta beta) alpha))
(+.f64 (+.f64 (*.f64 beta (*.f64 beta 2)) (pow.f64 beta 3)) (*.f64 alpha (*.f64 beta beta)))
(+.f64 (+.f64 (*.f64 beta (*.f64 beta 2)) (*.f64 (*.f64 beta beta) alpha)) (pow.f64 beta 3))
(+.f64 (+.f64 (*.f64 beta (*.f64 beta 2)) (*.f64 alpha (*.f64 beta beta))) (pow.f64 beta 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))) 1)
(/.f64 (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1)
(/.f64 (*.f64 (*.f64 beta beta) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (-.f64 beta 2)))
(/.f64 (*.f64 (*.f64 beta beta) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (-.f64 4 (-.f64 (*.f64 (+.f64 alpha beta) 2) (pow.f64 (+.f64 alpha beta) 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (*.f64 beta beta)) (+.f64 alpha (-.f64 beta 2)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (*.f64 beta beta)) (-.f64 4 (-.f64 (*.f64 (+.f64 alpha beta) 2) (pow.f64 (+.f64 alpha beta) 2))))
(/.f64 (-.f64 (*.f64 (*.f64 beta (*.f64 beta (+.f64 alpha beta))) (*.f64 beta (*.f64 beta (+.f64 alpha beta)))) (*.f64 (*.f64 beta (*.f64 beta 2)) (*.f64 beta (*.f64 beta 2)))) (-.f64 (*.f64 beta (*.f64 beta (+.f64 alpha beta))) (*.f64 beta (*.f64 beta 2))))
(/.f64 (-.f64 (*.f64 (*.f64 beta (*.f64 beta (+.f64 alpha beta))) (*.f64 beta (*.f64 beta (+.f64 alpha beta)))) (*.f64 (*.f64 beta (*.f64 beta 2)) (*.f64 beta (*.f64 beta 2)))) (*.f64 1 (-.f64 (*.f64 beta (*.f64 beta (+.f64 alpha beta))) (*.f64 beta (*.f64 beta 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 beta (*.f64 beta (+.f64 alpha beta))) 3) (pow.f64 (*.f64 beta (*.f64 beta 2)) 3)) (-.f64 (+.f64 (*.f64 (*.f64 beta (*.f64 beta (+.f64 alpha beta))) (*.f64 beta (*.f64 beta (+.f64 alpha beta)))) (*.f64 (*.f64 beta (*.f64 beta 2)) (*.f64 beta (*.f64 beta 2)))) (*.f64 (*.f64 beta (*.f64 beta (+.f64 alpha beta))) (*.f64 beta (*.f64 beta 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 beta (*.f64 beta (+.f64 alpha beta))) 3) (pow.f64 (*.f64 beta (*.f64 beta 2)) 3)) (*.f64 1 (-.f64 (+.f64 (*.f64 (*.f64 beta (*.f64 beta (+.f64 alpha beta))) (*.f64 beta (*.f64 beta (+.f64 alpha beta)))) (*.f64 (*.f64 beta (*.f64 beta 2)) (*.f64 beta (*.f64 beta 2)))) (*.f64 (*.f64 beta (*.f64 beta (+.f64 alpha beta))) (*.f64 beta (*.f64 beta 2))))))
(pow.f64 (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1)
(pow.f64 (*.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) 2)
(pow.f64 (cbrt.f64 (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2))))) 3)
(pow.f64 (pow.f64 (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (pow.f64 beta 4)))
(log.f64 (pow.f64 (exp.f64 beta) (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(cbrt.f64 (pow.f64 (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3) (pow.f64 (*.f64 beta beta) 3)))
(expm1.f64 (log1p.f64 (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (log.f64 (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (*.f64 (log.f64 (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2))))) 1))
(log1p.f64 (expm1.f64 (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(fma.f64 (*.f64 beta beta) (+.f64 alpha beta) (*.f64 beta (*.f64 beta 2)))
(fma.f64 (+.f64 alpha beta) (*.f64 beta beta) (*.f64 beta (*.f64 beta 2)))
Outputs
(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 beta 2) (+.f64 beta 2)))
(/.f64 (+.f64 beta 1) (*.f64 beta (*.f64 beta (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (*.f64 beta beta)))
(+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 2))) (+.f64 (*.f64 alpha (-.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 2))) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)))))) (/.f64 1 (*.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 1 (*.f64 beta (*.f64 beta (+.f64 beta 2)))) (fma.f64 alpha (-.f64 (/.f64 1 (*.f64 beta (*.f64 beta (+.f64 beta 2)))) (+.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (/.f64 1 beta) (+.f64 beta 2))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 beta beta))) (fma.f64 alpha (-.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 beta beta))) (+.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (/.f64 1 beta) (+.f64 beta 2))))
(+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 3)))) (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 2))) (+.f64 (*.f64 alpha (-.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 2))) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)))))) (/.f64 1 (*.f64 beta (+.f64 beta 2))))))
(fma.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 3)) (-.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 beta (*.f64 beta (+.f64 beta 2)))) (fma.f64 alpha (-.f64 (/.f64 1 (*.f64 beta (*.f64 beta (+.f64 beta 2)))) (+.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (/.f64 1 beta) (+.f64 beta 2)))))
(+.f64 (fma.f64 alpha (-.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 beta beta))) (+.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (/.f64 1 beta) (+.f64 beta 2))) (fma.f64 (+.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 2) 3)) (-.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 alpha alpha) (/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 beta beta)))))
(+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 3)))) (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 4))) (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 2))) (+.f64 (*.f64 alpha (-.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 2))) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)))))) (/.f64 1 (*.f64 beta (+.f64 beta 2)))))))
(fma.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 3)) (-.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 2) 2)))) (fma.f64 (-.f64 (-.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 4))) (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 3) (+.f64 (/.f64 1 (*.f64 beta (*.f64 beta (+.f64 beta 2)))) (fma.f64 alpha (-.f64 (/.f64 1 (*.f64 beta (*.f64 beta (+.f64 beta 2)))) (+.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (/.f64 1 beta) (+.f64 beta 2))))))
(fma.f64 (+.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 2) 3)) (-.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 alpha alpha) (+.f64 (fma.f64 alpha (-.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 beta beta))) (+.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (/.f64 1 beta) (+.f64 beta 2))) (fma.f64 (-.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 2) 4)) (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3) (/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 beta beta))))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 1 (*.f64 (pow.f64 beta 2) alpha)))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (/.f64 1 (*.f64 beta beta)) alpha))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -1 (*.f64 beta (*.f64 beta alpha))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (/.f64 1 (*.f64 beta (pow.f64 alpha 2))))) (/.f64 1 (*.f64 (pow.f64 beta 2) alpha)))
(-.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 2 (*.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (/.f64 (/.f64 1 beta) (*.f64 alpha alpha))) (/.f64 (/.f64 1 (*.f64 beta beta)) alpha))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 2 (*.f64 beta (*.f64 beta (*.f64 alpha alpha)))) (-.f64 (/.f64 (/.f64 1 beta) (*.f64 alpha alpha)) (/.f64 (/.f64 1 (*.f64 beta beta)) alpha))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (pow.f64 beta 2) (pow.f64 alpha 3))))))) (/.f64 1 (*.f64 (pow.f64 beta 2) alpha)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (+.f64 (+.f64 (/.f64 2 (*.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (/.f64 (/.f64 1 beta) (*.f64 alpha alpha))) (neg.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (pow.f64 alpha 3) (*.f64 beta beta))))) (/.f64 (/.f64 1 (*.f64 beta beta)) alpha)))
(+.f64 (+.f64 (/.f64 2 (*.f64 beta (*.f64 beta (*.f64 alpha alpha)))) (-.f64 (/.f64 (/.f64 1 beta) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (pow.f64 alpha 3) (*.f64 beta beta))))) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -1 (*.f64 beta (*.f64 beta alpha)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -1 (*.f64 beta (*.f64 beta alpha)))) (+.f64 (/.f64 2 (*.f64 beta (*.f64 beta (*.f64 alpha alpha)))) (-.f64 (/.f64 (/.f64 1 beta) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (pow.f64 alpha 3) (*.f64 beta beta))))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 beta 2)))) alpha)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (neg.f64 (/.f64 (*.f64 -1 (-.f64 (/.f64 (+.f64 beta 1) (*.f64 beta beta)) (/.f64 (+.f64 beta 2) (*.f64 beta beta)))) alpha)))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (fma.f64 -1 (/.f64 (+.f64 beta 1) (*.f64 beta beta)) (/.f64 (+.f64 beta 2) (*.f64 beta beta))) alpha))
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(+.f64 (+.f64 (*.f64 beta (*.f64 beta 2)) (*.f64 (*.f64 beta beta) alpha)) (pow.f64 beta 3))
(fma.f64 (*.f64 beta beta) (+.f64 2 alpha) (pow.f64 beta 3))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta beta))
(+.f64 (+.f64 (*.f64 beta (*.f64 beta 2)) (*.f64 alpha (*.f64 beta beta))) (pow.f64 beta 3))
(fma.f64 (*.f64 beta beta) (+.f64 2 alpha) (pow.f64 beta 3))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta beta))
(-.f64 (exp.f64 (log1p.f64 (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))) 1)
(fma.f64 (*.f64 beta beta) (+.f64 2 alpha) (pow.f64 beta 3))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta beta))
(/.f64 (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1)
(fma.f64 (*.f64 beta beta) (+.f64 2 alpha) (pow.f64 beta 3))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta beta))
(/.f64 (*.f64 (*.f64 beta beta) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (-.f64 beta 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (/.f64 (-.f64 (+.f64 beta alpha) 2) (*.f64 beta beta)))
(*.f64 (/.f64 (*.f64 beta beta) (+.f64 beta (+.f64 -2 alpha))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))
(/.f64 (*.f64 (*.f64 beta beta) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (-.f64 4 (-.f64 (*.f64 (+.f64 alpha beta) 2) (pow.f64 (+.f64 alpha beta) 2))))
(/.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (/.f64 (+.f64 (-.f64 4 (*.f64 2 (+.f64 beta alpha))) (pow.f64 (+.f64 beta alpha) 2)) (*.f64 beta beta)))
(*.f64 (/.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (-.f64 4 (*.f64 (+.f64 beta alpha) (-.f64 2 (+.f64 beta alpha))))) (*.f64 beta beta))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (*.f64 beta beta)) (+.f64 alpha (-.f64 beta 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (/.f64 (-.f64 (+.f64 beta alpha) 2) (*.f64 beta beta)))
(*.f64 (/.f64 (*.f64 beta beta) (+.f64 beta (+.f64 -2 alpha))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (*.f64 beta beta)) (-.f64 4 (-.f64 (*.f64 (+.f64 alpha beta) 2) (pow.f64 (+.f64 alpha beta) 2))))
(/.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (/.f64 (+.f64 (-.f64 4 (*.f64 2 (+.f64 beta alpha))) (pow.f64 (+.f64 beta alpha) 2)) (*.f64 beta beta)))
(*.f64 (/.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (-.f64 4 (*.f64 (+.f64 beta alpha) (-.f64 2 (+.f64 beta alpha))))) (*.f64 beta beta))
(/.f64 (-.f64 (*.f64 (*.f64 beta (*.f64 beta (+.f64 alpha beta))) (*.f64 beta (*.f64 beta (+.f64 alpha beta)))) (*.f64 (*.f64 beta (*.f64 beta 2)) (*.f64 beta (*.f64 beta 2)))) (-.f64 (*.f64 beta (*.f64 beta (+.f64 alpha beta))) (*.f64 beta (*.f64 beta 2))))
(/.f64 (*.f64 (*.f64 beta (+.f64 (*.f64 beta 2) (*.f64 beta (+.f64 beta alpha)))) (*.f64 beta (-.f64 (*.f64 beta (+.f64 beta alpha)) (*.f64 beta 2)))) (*.f64 beta (-.f64 (*.f64 beta (+.f64 beta alpha)) (*.f64 beta 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 beta 4) (pow.f64 (+.f64 beta alpha) 2)) (*.f64 (pow.f64 beta 4) 4)) (*.f64 beta (*.f64 beta (+.f64 beta (+.f64 -2 alpha)))))
(/.f64 (-.f64 (*.f64 (*.f64 beta (*.f64 beta (+.f64 alpha beta))) (*.f64 beta (*.f64 beta (+.f64 alpha beta)))) (*.f64 (*.f64 beta (*.f64 beta 2)) (*.f64 beta (*.f64 beta 2)))) (*.f64 1 (-.f64 (*.f64 beta (*.f64 beta (+.f64 alpha beta))) (*.f64 beta (*.f64 beta 2)))))
(/.f64 (*.f64 (*.f64 beta (+.f64 (*.f64 beta 2) (*.f64 beta (+.f64 beta alpha)))) (*.f64 beta (-.f64 (*.f64 beta (+.f64 beta alpha)) (*.f64 beta 2)))) (*.f64 beta (-.f64 (*.f64 beta (+.f64 beta alpha)) (*.f64 beta 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 beta 4) (pow.f64 (+.f64 beta alpha) 2)) (*.f64 (pow.f64 beta 4) 4)) (*.f64 beta (*.f64 beta (+.f64 beta (+.f64 -2 alpha)))))
(/.f64 (+.f64 (pow.f64 (*.f64 beta (*.f64 beta (+.f64 alpha beta))) 3) (pow.f64 (*.f64 beta (*.f64 beta 2)) 3)) (-.f64 (+.f64 (*.f64 (*.f64 beta (*.f64 beta (+.f64 alpha beta))) (*.f64 beta (*.f64 beta (+.f64 alpha beta)))) (*.f64 (*.f64 beta (*.f64 beta 2)) (*.f64 beta (*.f64 beta 2)))) (*.f64 (*.f64 beta (*.f64 beta (+.f64 alpha beta))) (*.f64 beta (*.f64 beta 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 beta beta) (+.f64 beta alpha)) 3) (pow.f64 (*.f64 beta (*.f64 beta 2)) 3)) (-.f64 (fma.f64 (*.f64 (*.f64 beta beta) (+.f64 beta alpha)) (*.f64 (*.f64 beta beta) (+.f64 beta alpha)) (*.f64 (*.f64 beta beta) (*.f64 (*.f64 beta 2) (*.f64 beta 2)))) (*.f64 (*.f64 (*.f64 beta beta) (+.f64 beta alpha)) (*.f64 beta (*.f64 beta 2)))))
(/.f64 (+.f64 (*.f64 (pow.f64 beta 6) (pow.f64 (+.f64 beta alpha) 3)) (*.f64 (pow.f64 beta 6) 8)) (+.f64 (*.f64 (pow.f64 beta 4) (pow.f64 (+.f64 beta alpha) 2)) (+.f64 (*.f64 (pow.f64 beta 4) 4) (*.f64 (*.f64 (*.f64 beta beta) (+.f64 beta alpha)) (*.f64 (*.f64 beta beta) -2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 beta (*.f64 beta (+.f64 alpha beta))) 3) (pow.f64 (*.f64 beta (*.f64 beta 2)) 3)) (*.f64 1 (-.f64 (+.f64 (*.f64 (*.f64 beta (*.f64 beta (+.f64 alpha beta))) (*.f64 beta (*.f64 beta (+.f64 alpha beta)))) (*.f64 (*.f64 beta (*.f64 beta 2)) (*.f64 beta (*.f64 beta 2)))) (*.f64 (*.f64 beta (*.f64 beta (+.f64 alpha beta))) (*.f64 beta (*.f64 beta 2))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 beta beta) (+.f64 beta alpha)) 3) (pow.f64 (*.f64 beta (*.f64 beta 2)) 3)) (-.f64 (fma.f64 (*.f64 (*.f64 beta beta) (+.f64 beta alpha)) (*.f64 (*.f64 beta beta) (+.f64 beta alpha)) (*.f64 (*.f64 beta beta) (*.f64 (*.f64 beta 2) (*.f64 beta 2)))) (*.f64 (*.f64 (*.f64 beta beta) (+.f64 beta alpha)) (*.f64 beta (*.f64 beta 2)))))
(/.f64 (+.f64 (*.f64 (pow.f64 beta 6) (pow.f64 (+.f64 beta alpha) 3)) (*.f64 (pow.f64 beta 6) 8)) (+.f64 (*.f64 (pow.f64 beta 4) (pow.f64 (+.f64 beta alpha) 2)) (+.f64 (*.f64 (pow.f64 beta 4) 4) (*.f64 (*.f64 (*.f64 beta beta) (+.f64 beta alpha)) (*.f64 (*.f64 beta beta) -2)))))
(pow.f64 (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2)))) 1)
(fma.f64 (*.f64 beta beta) (+.f64 2 alpha) (pow.f64 beta 3))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta beta))
(pow.f64 (*.f64 beta (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) 2)
(pow.f64 (*.f64 beta (sqrt.f64 (+.f64 (+.f64 beta alpha) 2))) 2)
(pow.f64 (*.f64 beta (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) 2)
(pow.f64 (cbrt.f64 (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2))))) 3)
(fma.f64 (*.f64 beta beta) (+.f64 2 alpha) (pow.f64 beta 3))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta beta))
(pow.f64 (pow.f64 (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3) 1/3)
(fma.f64 (*.f64 beta beta) (+.f64 2 alpha) (pow.f64 beta 3))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta beta))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (pow.f64 beta 4)))
(sqrt.f64 (*.f64 (pow.f64 beta 4) (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2)))
(sqrt.f64 (*.f64 (pow.f64 beta 4) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(log.f64 (pow.f64 (exp.f64 beta) (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))
(fma.f64 (*.f64 beta beta) (+.f64 2 alpha) (pow.f64 beta 3))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta beta))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2)))))))
(fma.f64 (*.f64 beta beta) (+.f64 2 alpha) (pow.f64 beta 3))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta beta))
(cbrt.f64 (pow.f64 (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2)))) 3))
(fma.f64 (*.f64 beta beta) (+.f64 2 alpha) (pow.f64 beta 3))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta beta))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(fma.f64 (*.f64 beta beta) (+.f64 2 alpha) (pow.f64 beta 3))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta beta))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3) (pow.f64 (*.f64 beta beta) 3)))
(fma.f64 (*.f64 beta beta) (+.f64 2 alpha) (pow.f64 beta 3))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta beta))
(expm1.f64 (log1p.f64 (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(fma.f64 (*.f64 beta beta) (+.f64 2 alpha) (pow.f64 beta 3))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta beta))
(exp.f64 (log.f64 (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(fma.f64 (*.f64 beta beta) (+.f64 2 alpha) (pow.f64 beta 3))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta beta))
(exp.f64 (*.f64 (log.f64 (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2))))) 1))
(fma.f64 (*.f64 beta beta) (+.f64 2 alpha) (pow.f64 beta 3))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta beta))
(log1p.f64 (expm1.f64 (*.f64 beta (*.f64 beta (+.f64 alpha (+.f64 beta 2))))))
(fma.f64 (*.f64 beta beta) (+.f64 2 alpha) (pow.f64 beta 3))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta beta))
(fma.f64 (*.f64 beta beta) (+.f64 alpha beta) (*.f64 beta (*.f64 beta 2)))
(fma.f64 (*.f64 beta beta) (+.f64 2 alpha) (pow.f64 beta 3))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta beta))
(fma.f64 (+.f64 alpha beta) (*.f64 beta beta) (*.f64 beta (*.f64 beta 2)))
(fma.f64 (*.f64 beta beta) (+.f64 2 alpha) (pow.f64 beta 3))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 beta beta))

localize24.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.02%
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
0.06%
(*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))
1.3%
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
Compiler

Compiled 63 to 38 computations (39.7% saved)

series12.0ms (0.1%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
5.0ms
beta
@-inf
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
2.0ms
beta
@0
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
1.0ms
alpha
@0
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
1.0ms
alpha
@-inf
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
1.0ms
alpha
@inf
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))

rewrite152.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
830×distribute-lft-neg-in
450×associate-+l+
414×+-commutative
384×add-sqr-sqrt
374×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01574
136574
2579974
Stop Event
node limit
Counts
2 → 94
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (+.f64 beta (+.f64 2 alpha))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (+.f64 beta (+.f64 2 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (+.f64 beta (+.f64 2 alpha)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (+.f64 beta (+.f64 2 alpha)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (+.f64 beta (+.f64 2 alpha)))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (/.f64 1 (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha)))) (/.f64 (+.f64 beta 1) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (neg.f64 (+.f64 beta (+.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) 1) (/.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha)))) 2)) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (-.f64 alpha beta) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2) 1) 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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 beta 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))))))

simplify94.0ms (0.5%)

Algorithm
egg-herbie
Rules
862×distribute-lft-in
802×distribute-rgt-in
800×associate-*r*
722×*-commutative
692×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050310976
1173110616
Stop Event
node limit
Counts
130 → 227
Calls
Call 1
Inputs
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 7 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 7 (*.f64 2 alpha)) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 7 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 7 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 alpha)) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 6 (*.f64 2 alpha)))) (*.f64 2 (+.f64 5 (*.f64 2 alpha))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 alpha)) (pow.f64 beta 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 6 (*.f64 2 alpha)))) (*.f64 2 (+.f64 5 (*.f64 2 alpha))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 alpha)) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 6 (*.f64 2 alpha)))) (*.f64 2 (+.f64 5 (*.f64 2 alpha))))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (*.f64 2 (+.f64 5 (*.f64 2 alpha)))) (+.f64 6 (*.f64 2 alpha)))) (*.f64 2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))) (pow.f64 beta 5))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 1 (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) (+.f64 (*.f64 -1 (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))))) 1)) (*.f64 -1 (+.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2) (+.f64 3 alpha)) (*.f64 -2 (+.f64 2 alpha))))) (pow.f64 beta 4))))))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))
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1/2
(+.f64 1/2 (*.f64 1/4 beta))
(+.f64 (*.f64 -1/8 (pow.f64 beta 2)) (+.f64 1/2 (*.f64 1/4 beta)))
(+.f64 (*.f64 -1/8 (pow.f64 beta 2)) (+.f64 1/2 (+.f64 (*.f64 1/4 beta) (*.f64 1/16 (pow.f64 beta 3)))))
1
(-.f64 1 (/.f64 1 beta))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) (/.f64 1 beta))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))))
1
(-.f64 1 (/.f64 1 beta))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) (/.f64 1 beta))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (+.f64 beta (+.f64 2 alpha))))) 1)
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(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (+.f64 beta (+.f64 2 alpha))) 1)
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2) (+.f64 beta (+.f64 2 alpha))) (/.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))))
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(pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (+.f64 beta (+.f64 2 alpha))) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (+.f64 beta (+.f64 2 alpha)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (+.f64 beta (+.f64 2 alpha)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (+.f64 beta (+.f64 2 alpha))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))))) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (neg.f64 (+.f64 beta (+.f64 2 alpha))))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (+.f64 beta (+.f64 2 alpha))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (+.f64 beta (+.f64 2 alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (+.f64 beta (+.f64 2 alpha))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (+.f64 beta (+.f64 2 alpha))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 3) (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (+.f64 beta (+.f64 2 alpha)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 2))))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 2))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (+.f64 beta (+.f64 2 alpha)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))) 1)
(*.f64 1 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(*.f64 (hypot.f64 1 (sqrt.f64 beta)) (*.f64 (hypot.f64 1 (sqrt.f64 beta)) (/.f64 1 (+.f64 beta 2))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (*.f64 (cbrt.f64 (+.f64 beta 1)) (/.f64 1 (+.f64 beta 2))))
(*.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 1))
(*.f64 (-.f64 -1 beta) (neg.f64 (/.f64 1 (+.f64 beta 2))))
(*.f64 (-.f64 -1 beta) (/.f64 1 (-.f64 -2 beta)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (+.f64 beta 1) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta beta -4)) (+.f64 beta -2))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(*.f64 -1 (/.f64 (-.f64 -1 beta) (+.f64 beta 2)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2)) (neg.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (+.f64 beta 2)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 1)) (+.f64 beta 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 (+.f64 beta 1)) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2)))) (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2))))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))) (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2))) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) -1)
(neg.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 beta 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 2))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
Outputs
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(fma.f64 beta (+.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 -1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))))
(fma.f64 beta (+.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) -1/4)) (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 7 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(fma.f64 beta (+.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 -1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (fma.f64 -1 (*.f64 (*.f64 beta beta) (fma.f64 1/2 (*.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 -1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 2 alpha)) (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (+.f64 alpha 3))) (*.f64 1/4 (/.f64 (+.f64 7 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2)))))) (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))))
(fma.f64 beta (+.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) -1/4)) (-.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 (*.f64 beta beta) (fma.f64 1/2 (*.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) -1/4)) (+.f64 2 alpha)) (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (+.f64 alpha 3))) (*.f64 1/4 (/.f64 (+.f64 7 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))))))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 7 (*.f64 2 alpha)) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 7 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.f64 7 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))
(fma.f64 beta (+.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 -1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (fma.f64 -1 (*.f64 (pow.f64 beta 3) (fma.f64 1/2 (*.f64 (/.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 2 alpha)) (/.f64 (+.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 -1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 alpha 3))) (+.f64 (/.f64 1/4 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) (*.f64 -1/2 (/.f64 (fma.f64 1/2 (*.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 -1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 2 alpha)) (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (+.f64 alpha 3))) (*.f64 1/4 (/.f64 (+.f64 7 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)) (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))))))))) (fma.f64 -1 (*.f64 (*.f64 beta beta) (fma.f64 1/2 (*.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 -1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 2 alpha)) (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (+.f64 alpha 3))) (*.f64 1/4 (/.f64 (+.f64 7 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2)))))) (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))))))
(fma.f64 beta (+.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) -1/4)) (-.f64 (-.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 (*.f64 beta beta) (fma.f64 1/2 (*.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) -1/4)) (+.f64 2 alpha)) (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (+.f64 alpha 3))) (*.f64 1/4 (/.f64 (+.f64 7 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))))) (*.f64 (pow.f64 beta 3) (fma.f64 1/2 (*.f64 (/.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 2 alpha)) (/.f64 (+.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) -1/4)) (+.f64 alpha 3))) (+.f64 (/.f64 1/4 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) (/.f64 (*.f64 (*.f64 -1/2 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5)))) (fma.f64 1/2 (*.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) -1/4)) (+.f64 2 alpha)) (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (+.f64 alpha 3))) (*.f64 1/4 (/.f64 (+.f64 7 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2)))))) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))))))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 alpha)) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (neg.f64 (/.f64 (+.f64 (*.f64 2 alpha) 6) (pow.f64 beta 3))))
(-.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 2 (/.f64 (pow.f64 beta 3) (+.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 6 (*.f64 2 alpha)))) (*.f64 2 (+.f64 5 (*.f64 2 alpha))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 alpha)) (pow.f64 beta 3)))))
(fma.f64 -1 (/.f64 (fma.f64 (+.f64 2 alpha) (+.f64 alpha 3) (fma.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 (*.f64 2 alpha) 6)) (+.f64 10 (*.f64 2 (*.f64 2 alpha))))) (pow.f64 beta 4)) (+.f64 (/.f64 1 (*.f64 beta beta)) (neg.f64 (/.f64 (+.f64 (*.f64 2 alpha) 6) (pow.f64 beta 3)))))
(-.f64 (-.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 2 (/.f64 (pow.f64 beta 3) (+.f64 alpha 3)))) (/.f64 (+.f64 (*.f64 (+.f64 7 (*.f64 2 alpha)) (*.f64 -2 (+.f64 alpha 3))) (fma.f64 (+.f64 2 alpha) (+.f64 alpha 3) (+.f64 10 (*.f64 alpha 4)))) (pow.f64 beta 4)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 6 (*.f64 2 alpha)))) (*.f64 2 (+.f64 5 (*.f64 2 alpha))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 alpha)) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 6 (*.f64 2 alpha)))) (*.f64 2 (+.f64 5 (*.f64 2 alpha))))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (*.f64 2 (+.f64 5 (*.f64 2 alpha)))) (+.f64 6 (*.f64 2 alpha)))) (*.f64 2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))) (pow.f64 beta 5))))))
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1/2
(+.f64 1/2 (*.f64 1/4 beta))
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(+.f64 (*.f64 -1/8 (pow.f64 beta 2)) (+.f64 1/2 (*.f64 1/4 beta)))
(fma.f64 -1/8 (*.f64 beta beta) (+.f64 1/2 (*.f64 beta 1/4)))
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(fma.f64 -1/8 (*.f64 beta beta) (+.f64 1/2 (fma.f64 1/4 beta (*.f64 (pow.f64 beta 3) 1/16))))
1
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1
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(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) 3) (pow.f64 (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 (+.f64 2 alpha) beta)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 beta 1) (-.f64 beta -2)) 3) (pow.f64 (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 2 (+.f64 alpha beta))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 2 alpha) beta) (*.f64 (+.f64 2 beta) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (+.f64 beta 1) (*.f64 (-.f64 beta -2) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 2 (+.f64 alpha beta)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 2))))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 alpha (+.f64 3 beta)) (*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 alpha) beta))))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (-.f64 beta -2) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 2 (+.f64 alpha beta)))))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 2))))) 1))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 alpha (+.f64 3 beta)) (*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 alpha) beta))))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (-.f64 beta -2) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 2 (+.f64 alpha beta)))))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 2 alpha) beta) (*.f64 (+.f64 2 beta) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (+.f64 beta 1) (*.f64 (-.f64 beta -2) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 2 (+.f64 alpha beta)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))) 1)
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(*.f64 1 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 2)))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 1)
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(*.f64 (hypot.f64 1 (sqrt.f64 beta)) (*.f64 (hypot.f64 1 (sqrt.f64 beta)) (/.f64 1 (+.f64 beta 2))))
(*.f64 (hypot.f64 1 (sqrt.f64 beta)) (*.f64 (/.f64 1 (+.f64 2 beta)) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (hypot.f64 1 (sqrt.f64 beta)) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (-.f64 beta -2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (*.f64 (cbrt.f64 (+.f64 beta 1)) (/.f64 1 (+.f64 beta 2))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (cbrt.f64 (+.f64 beta 1))) (/.f64 1 (+.f64 2 beta)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 beta 1)) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (-.f64 beta -2))
(*.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 1))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(*.f64 (-.f64 -1 beta) (neg.f64 (/.f64 1 (+.f64 beta 2))))
(*.f64 (-.f64 -1 beta) (/.f64 -1 (+.f64 2 beta)))
(/.f64 (neg.f64 (-.f64 -1 beta)) (-.f64 beta -2))
(*.f64 (-.f64 -1 beta) (/.f64 1 (-.f64 -2 beta)))
(/.f64 (-.f64 -1 beta) (-.f64 -2 beta))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 beta))) (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 2 beta))))
(/.f64 (/.f64 (+.f64 beta 1) (sqrt.f64 (-.f64 beta -2))) (sqrt.f64 (-.f64 beta -2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (+.f64 beta 1) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (/.f64 (+.f64 beta 1) (cbrt.f64 (+.f64 2 beta))))
(/.f64 (/.f64 (+.f64 beta 1) (cbrt.f64 (-.f64 beta -2))) (pow.f64 (cbrt.f64 (-.f64 beta -2)) 2))
(*.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta beta -4)) (+.f64 beta -2))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta -2)))) (+.f64 (pow.f64 beta 3) 8))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 (pow.f64 beta 3) 8)) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(*.f64 -1 (/.f64 (-.f64 -1 beta) (+.f64 beta 2)))
(*.f64 (-.f64 -1 beta) (/.f64 -1 (+.f64 2 beta)))
(/.f64 (neg.f64 (-.f64 -1 beta)) (-.f64 beta -2))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2)) (neg.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (+.f64 beta 2)))
(*.f64 (hypot.f64 1 (sqrt.f64 beta)) (*.f64 (/.f64 1 (+.f64 2 beta)) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (hypot.f64 1 (sqrt.f64 beta)) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (-.f64 beta -2)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (cbrt.f64 (+.f64 2 beta))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (pow.f64 (cbrt.f64 (-.f64 beta -2)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (cbrt.f64 (-.f64 beta -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 1)) (+.f64 beta 2)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (cbrt.f64 (+.f64 beta 1))) (/.f64 1 (+.f64 2 beta)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 beta 1)) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (-.f64 beta -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 (+.f64 beta 1)) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (sqrt.f64 (+.f64 2 beta))) (/.f64 (cbrt.f64 (+.f64 beta 1)) (sqrt.f64 (+.f64 2 beta))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (/.f64 (sqrt.f64 (-.f64 beta -2)) (/.f64 (cbrt.f64 (+.f64 beta 1)) (sqrt.f64 (-.f64 beta -2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (-.f64 beta -2))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (pow.f64 (cbrt.f64 (-.f64 beta -2)) 2)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2)))) (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta)))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2))))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)))) (neg.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))) (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2))) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 1)
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2)
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 3)
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 3) 1/3)
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(pow.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) -1)
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(neg.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2)))
(*.f64 (-.f64 -1 beta) (/.f64 -1 (+.f64 2 beta)))
(/.f64 (neg.f64 (-.f64 -1 beta)) (-.f64 beta -2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (-.f64 beta -2)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 3))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 beta 2) 3)))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 2))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 2 beta))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (-.f64 beta -2))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 2))) 1))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 2 beta))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (-.f64 beta -2))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))

eval1.1s (5.1%)

Compiler

Compiled 47826 to 33613 computations (29.7% saved)

prune396.0ms (1.9%)

Pruning

30 alts after pruning (27 fresh and 3 done)

PrunedKeptTotal
New1322101332
Fresh51722
Picked101
Done538
Total1333301363
Error
0%
Counts
1363 → 30
Alt Table
Click to see full alt table
StatusErrorProgram
51.78%
(pow.f64 beta -2)
5.61%
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
9.27%
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
9.21%
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
36.21%
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
26.06%
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
43.45%
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (/.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
43.87%
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
52.16%
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 alpha (+.f64 alpha 4)))) (+.f64 alpha 3))
44.83%
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
43.53%
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
51.88%
(/.f64 (/.f64 1 beta) beta)
56.28%
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (*.f64 beta beta)))
50.81%
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
41.99%
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
51.48%
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 4 (*.f64 alpha (+.f64 (+.f64 alpha 2) 2))) (+.f64 alpha 3)))
49.21%
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
28.96%
(/.f64 (+.f64 1/2 (*.f64 beta 1/4)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
42.06%
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha)) (-.f64 beta (+.f64 3 (*.f64 2 alpha)))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)))
69.72%
(/.f64 alpha (*.f64 beta beta))
46.03%
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
52.66%
(/.f64 1 (*.f64 beta beta))
96.65%
(/.f64 1 (*.f64 alpha alpha))
87.62%
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
53.06%
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
97.45%
(/.f64 1/2 alpha)
49.19%
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
0.3%
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)) (*.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
65.94%
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
12.88%
(*.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 2)))))
Compiler

Compiled 885 to 640 computations (27.7% saved)

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.04%
(/.f64 1 (+.f64 beta (+.f64 alpha 3)))
0.04%
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)) (*.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
0.06%
(/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))
0.28%
(*.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 3))))
Compiler

Compiled 99 to 68 computations (31.3% saved)

series12.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite119.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
526×+-commutative
480×add-sqr-sqrt
468×pow1
468×*-un-lft-identity
450×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019160
1464148
27162148
Stop Event
node limit
Counts
4 → 168
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 3))))
(/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)) (*.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(/.f64 1 (+.f64 beta (+.f64 alpha 3)))
Outputs
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simplify169.0ms (0.8%)

Algorithm
egg-herbie
Rules
1314×associate-*r*
1284×associate-/r*
1168×+-commutative
1158×associate-*l*
1036×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
091323556
1310023210
Stop Event
node limit
Counts
264 → 431
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha)))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))) (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))))) (*.f64 -1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 3))) (/.f64 1 alpha))))
(+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 5 (*.f64 2 beta))) (*.f64 -1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 3))) (/.f64 1 alpha)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
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1
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1
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(/.f64 (+.f64 1 alpha) beta)
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(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
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(/.f64 1 alpha)
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(pow.f64 (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 3)))))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta 3))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 3)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
Outputs
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))
(+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (*.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha))
(+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (*.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha)))
(fma.f64 -1 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 beta 2))))) (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (*.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha)))
(fma.f64 -1 (*.f64 alpha (*.f64 alpha (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 beta 2)))))) (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (*.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha)))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))) (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))))
(fma.f64 (+.f64 (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))) (-.f64 (*.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (*.f64 (/.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 beta 2)))) (+.f64 beta 2))))))) (pow.f64 alpha 3) (fma.f64 -1 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 beta 2))))) (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (*.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha))))
(fma.f64 (-.f64 (+.f64 (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))) (-.f64 (/.f64 (/.f64 (*.f64 beta 2) (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)))) (neg.f64 (*.f64 (/.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 beta 2)))) (+.f64 beta 2))))) (pow.f64 alpha 3) (fma.f64 -1 (*.f64 alpha (*.f64 alpha (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 beta 2)))))) (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (*.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 1 alpha))
(fma.f64 -1 (/.f64 (+.f64 (*.f64 beta 2) 4) (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 alpha alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha)))
(fma.f64 -1 (/.f64 (+.f64 (*.f64 beta 2) 4) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (neg.f64 (*.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 (*.f64 beta 2) 4)))) (pow.f64 alpha 3)) (/.f64 1 alpha)))
(+.f64 (/.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 (+.f64 5 (*.f64 beta 2)) (*.f64 -2 (+.f64 beta 2)))) (pow.f64 alpha 3)) (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))))) (*.f64 -1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha))))
(fma.f64 -1 (/.f64 (+.f64 (*.f64 beta 2) 4) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (+.f64 5 (*.f64 beta 2)) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (neg.f64 (*.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 (*.f64 beta 2) 4))))) (neg.f64 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 (*.f64 beta 2) 4))))) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (neg.f64 (*.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 (*.f64 beta 2) 4)))) (pow.f64 alpha 3)) (/.f64 1 alpha))))
(+.f64 (+.f64 (/.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 (+.f64 5 (*.f64 beta 2)) (*.f64 -2 (+.f64 beta 2)))) (pow.f64 alpha 3)) (/.f64 1 alpha))) (/.f64 (*.f64 1 (+.f64 (*.f64 (+.f64 5 (*.f64 beta 2)) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (*.f64 (+.f64 5 (*.f64 beta 2)) (*.f64 -2 (+.f64 beta 2))))) (*.f64 (+.f64 beta 3) (*.f64 2 (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 4)))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 1 alpha))
(fma.f64 -1 (/.f64 (+.f64 (*.f64 beta 2) 4) (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (/.f64 1 alpha) (/.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 alpha alpha)))
(+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 3))) (/.f64 1 alpha))))
(+.f64 (/.f64 (+.f64 (*.f64 beta 2) 4) (/.f64 (pow.f64 alpha 3) (+.f64 5 (*.f64 beta 2)))) (fma.f64 -1 (/.f64 (+.f64 (*.f64 beta 2) 4) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 beta 3) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (/.f64 1 alpha))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 3) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (/.f64 1 alpha)) (+.f64 (/.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 alpha alpha)) (/.f64 (+.f64 (*.f64 beta 2) 4) (/.f64 (pow.f64 alpha 3) (+.f64 5 (*.f64 beta 2))))))
(+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 5 (*.f64 2 beta))) (*.f64 -1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 3))) (/.f64 1 alpha)))))
(+.f64 (/.f64 (+.f64 (*.f64 beta 2) 4) (/.f64 (pow.f64 alpha 3) (+.f64 5 (*.f64 beta 2)))) (fma.f64 -1 (/.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 beta 2) 4) (+.f64 5 (*.f64 beta 2)) (neg.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 5 (*.f64 beta 2)) (neg.f64 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (+.f64 (*.f64 beta 2) 4))))) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (+.f64 (*.f64 beta 2) 4) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 beta 3) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (/.f64 1 alpha)))))
(+.f64 (/.f64 (+.f64 (*.f64 beta 2) 4) (/.f64 (pow.f64 alpha 3) (+.f64 5 (*.f64 beta 2)))) (fma.f64 -1 (/.f64 (fma.f64 (fma.f64 (+.f64 (*.f64 beta 2) 4) (+.f64 5 (*.f64 beta 2)) (*.f64 (+.f64 beta 3) (neg.f64 (+.f64 beta 2)))) (+.f64 5 (*.f64 beta 2)) (neg.f64 (*.f64 (+.f64 beta 3) (*.f64 2 (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 4)) (+.f64 (/.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 beta 3) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (/.f64 1 alpha)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(fma.f64 -1 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(fma.f64 -1 (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)) (*.f64 beta (+.f64 5 (*.f64 2 alpha))))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 (/.f64 1 (+.f64 3 alpha)) (+.f64 2 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3)))))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(fma.f64 -1 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (fma.f64 -1 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (neg.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 3))))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(fma.f64 -1 (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)) (*.f64 beta (+.f64 5 (*.f64 2 alpha))))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (fma.f64 -1 (*.f64 beta (*.f64 beta (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2) (neg.f64 (+.f64 1 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (/.f64 (/.f64 1 (+.f64 3 alpha)) (+.f64 2 alpha)))))
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(/.f64 1 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1 (+.f64 beta (+.f64 3 alpha)))
(*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) -1/2) (pow.f64 (+.f64 alpha (+.f64 beta 3)) -1/2))
(/.f64 1 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1 (+.f64 beta (+.f64 3 alpha)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) -2)))
(/.f64 (*.f64 1 (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta 3) alpha) -2))) (cbrt.f64 (+.f64 (+.f64 beta 3) alpha)))
(/.f64 (*.f64 1 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 3 alpha)) -2))) (cbrt.f64 (+.f64 beta (+.f64 3 alpha))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) -2)) (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (*.f64 1 (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta 3) alpha) -2))) (cbrt.f64 (+.f64 (+.f64 beta 3) alpha)))
(/.f64 (*.f64 1 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 3 alpha)) -2))) (cbrt.f64 (+.f64 beta (+.f64 3 alpha))))
(*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2))) (-.f64 (-.f64 beta alpha) 3))
(/.f64 (*.f64 1 (-.f64 beta (+.f64 3 alpha))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 3 alpha) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 3) (-.f64 (+.f64 alpha 3) beta))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 3 alpha) 3) (pow.f64 beta 3))) (fma.f64 beta beta (*.f64 (+.f64 3 alpha) (-.f64 (+.f64 3 alpha) beta))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) -1) (pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) -1))
(pow.f64 (sqrt.f64 (+.f64 (+.f64 beta 3) alpha)) -2)
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 3 alpha))) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (+.f64 beta 3) alpha))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 3) alpha)) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 3 alpha)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 3 alpha))) 2)))
(pow.f64 (+.f64 alpha (+.f64 beta 3)) -1)
(/.f64 1 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1 (+.f64 beta (+.f64 3 alpha)))
(pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) 1)
(/.f64 1 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1 (+.f64 beta (+.f64 3 alpha)))
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) -1/2) 2)
(/.f64 1 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1 (+.f64 beta (+.f64 3 alpha)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))) 3)
(/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 3) alpha)) 3))
(/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 3 alpha))) 3))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) 3) 1/3)
(/.f64 1 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1 (+.f64 beta (+.f64 3 alpha)))
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) -2))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 beta 3) alpha) -2))
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 3 alpha)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(/.f64 1 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1 (+.f64 beta (+.f64 3 alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))))))
(/.f64 1 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1 (+.f64 beta (+.f64 3 alpha)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) 3))
(/.f64 1 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1 (+.f64 beta (+.f64 3 alpha)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(/.f64 1 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1 (+.f64 beta (+.f64 3 alpha)))
(exp.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 3)))))
(/.f64 1 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1 (+.f64 beta (+.f64 3 alpha)))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta 3))) -1))
(/.f64 1 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1 (+.f64 beta (+.f64 3 alpha)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 alpha (+.f64 beta 3)))) 1))
(/.f64 1 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1 (+.f64 beta (+.f64 3 alpha)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(/.f64 1 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1 (+.f64 beta (+.f64 3 alpha)))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.39%
(/.f64 1 (*.f64 alpha alpha))
Compiler

Compiled 12 to 6 computations (50% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
alpha
@-inf
(/.f64 1 (*.f64 alpha alpha))
0.0ms
alpha
@0
(/.f64 1 (*.f64 alpha alpha))
0.0ms
alpha
@inf
(/.f64 1 (*.f64 alpha alpha))

rewrite48.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
1024×add-sqr-sqrt
1006×*-un-lft-identity
950×pow1
938×add-cube-cbrt
930×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0613
11207
214227
Stop Event
node limit
Counts
1 → 20
Calls
Call 1
Inputs
(/.f64 1 (*.f64 alpha alpha))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 alpha -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 alpha -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 alpha -2)) (pow.f64 (cbrt.f64 (pow.f64 alpha -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 alpha -2)) 2) (cbrt.f64 (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 alpha (neg.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 alpha 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 alpha) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 alpha -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 alpha alpha) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 alpha -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 alpha -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 alpha -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 alpha -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 alpha -2)))))))

simplify44.0ms (0.2%)

Algorithm
egg-herbie
Rules
1720×associate-/l*
892×associate-*r*
778×associate-+r+
700×distribute-rgt-in
696×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053446
1123266
2466254
32690254
Stop Event
node limit
Counts
32 → 26
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (pow.f64 alpha 2))
(-.f64 (+.f64 1 (pow.f64 alpha -2)) 1)
(*.f64 1 (pow.f64 alpha -2))
(*.f64 (pow.f64 alpha -2) 1)
(*.f64 (cbrt.f64 (pow.f64 alpha -2)) (pow.f64 (cbrt.f64 (pow.f64 alpha -2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 alpha -2)) 2) (cbrt.f64 (pow.f64 alpha -2)))
(*.f64 (/.f64 1 alpha) (/.f64 1 alpha))
(*.f64 -1 (/.f64 1 (*.f64 alpha (neg.f64 alpha))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 alpha 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 alpha) 2) -1))
(pow.f64 alpha -2)
(pow.f64 (*.f64 alpha alpha) -1)
(pow.f64 (pow.f64 alpha -2) 1)
(pow.f64 (cbrt.f64 (pow.f64 alpha -2)) 3)
(pow.f64 (pow.f64 (pow.f64 alpha -2) 3) 1/3)
(pow.f64 (/.f64 1 alpha) 2)
(sqrt.f64 (/.f64 1 (pow.f64 alpha 4)))
(log.f64 (exp.f64 (pow.f64 alpha -2)))
(cbrt.f64 (pow.f64 (pow.f64 alpha -2) 3))
(expm1.f64 (log1p.f64 (pow.f64 alpha -2)))
(exp.f64 (log.f64 (pow.f64 alpha -2)))
(log1p.f64 (expm1.f64 (pow.f64 alpha -2)))
Outputs
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(-.f64 (+.f64 1 (pow.f64 alpha -2)) 1)
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(*.f64 1 (pow.f64 alpha -2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(*.f64 (pow.f64 alpha -2) 1)
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(*.f64 (cbrt.f64 (pow.f64 alpha -2)) (pow.f64 (cbrt.f64 (pow.f64 alpha -2)) 2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 alpha -2)) 2) (cbrt.f64 (pow.f64 alpha -2)))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(*.f64 (/.f64 1 alpha) (/.f64 1 alpha))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(*.f64 -1 (/.f64 1 (*.f64 alpha (neg.f64 alpha))))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 alpha 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 alpha) 2) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 1 (*.f64 (cbrt.f64 (pow.f64 alpha 4)) (pow.f64 (cbrt.f64 alpha) 2)))
(pow.f64 alpha -2)
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 (*.f64 alpha alpha) -1)
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(pow.f64 (pow.f64 alpha -2) 1)
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(pow.f64 (cbrt.f64 (pow.f64 alpha -2)) 3)
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(pow.f64 (pow.f64 (pow.f64 alpha -2) 3) 1/3)
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(pow.f64 (/.f64 1 alpha) 2)
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(sqrt.f64 (/.f64 1 (pow.f64 alpha 4)))
(sqrt.f64 (pow.f64 alpha -4))
(log.f64 (exp.f64 (pow.f64 alpha -2)))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(cbrt.f64 (pow.f64 (pow.f64 alpha -2) 3))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(expm1.f64 (log1p.f64 (pow.f64 alpha -2)))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(exp.f64 (log.f64 (pow.f64 alpha -2)))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(log1p.f64 (expm1.f64 (pow.f64 alpha -2)))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.02%
(/.f64 (+.f64 1 alpha) beta)
0.24%
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
Compiler

Compiled 20 to 12 computations (40% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite62.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1980×add-sqr-sqrt
1964×*-un-lft-identity
1840×add-cube-cbrt
1818×add-cbrt-cube
172×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
117219
2241819
Stop Event
node limit
Counts
1 → 38
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (*.f64 (/.f64 1 beta) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta) (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta))) 2) (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (neg.f64 alpha)) beta) (/.f64 1 (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 1 beta) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 beta)) (/.f64 (/.f64 1 beta) (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (/.f64 1 beta) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) beta) (/.f64 (cbrt.f64 (+.f64 1 alpha)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 beta (/.f64 beta (+.f64 1 alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta beta))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta))))))))

simplify63.0ms (0.3%)

Algorithm
egg-herbie
Rules
1224×associate-*r/
756×associate-*l/
688×associate-/l*
564×associate-+r+
456×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01141934
12991908
210551272
351851272
Stop Event
node limit
Counts
62 → 55
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(/.f64 alpha (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(/.f64 alpha (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))) 1)
(*.f64 1 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(*.f64 (+.f64 1 alpha) (*.f64 (/.f64 1 beta) (/.f64 1 beta)))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 beta beta)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) 1)
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta) (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (/.f64 1 beta)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta))) 2) (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (/.f64 1 beta)))
(*.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) beta))
(*.f64 (/.f64 (+.f64 -1 (neg.f64 alpha)) beta) (/.f64 1 (neg.f64 beta)))
(*.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 1 beta) beta))
(*.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 beta)) (/.f64 (/.f64 1 beta) (sqrt.f64 beta)))
(*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (/.f64 1 beta) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (sqrt.f64 beta)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (cbrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) beta) (/.f64 (cbrt.f64 (+.f64 1 alpha)) beta))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) beta))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (cbrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (sqrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta))))
(pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) 1)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) 3) 1/3)
(pow.f64 (*.f64 beta (/.f64 beta (+.f64 1 alpha))) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (neg.f64 beta)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta beta))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta beta))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta))))
Outputs
(/.f64 1 (pow.f64 beta 2))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))) 1)
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 1 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (*.f64 (/.f64 1 beta) (/.f64 1 beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 beta beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) 1)
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta) (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (/.f64 1 beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta))) 2))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta))) 2) (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta))))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (/.f64 1 beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (/.f64 1 beta) (/.f64 (+.f64 1 alpha) beta))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (/.f64 (+.f64 -1 (neg.f64 alpha)) beta) (/.f64 1 (neg.f64 beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 1 beta) beta))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 beta)) (/.f64 (/.f64 1 beta) (sqrt.f64 beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (/.f64 1 beta) (cbrt.f64 beta)))
(*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 1 (*.f64 (cbrt.f64 beta) beta)))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 beta (cbrt.f64 beta))))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (sqrt.f64 beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (/.f64 (+.f64 1 alpha) beta) (cbrt.f64 beta)))
(*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 1 (*.f64 (cbrt.f64 beta) beta)))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 beta (cbrt.f64 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) beta) (/.f64 (cbrt.f64 (+.f64 1 alpha)) beta))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) beta))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) beta)) (cbrt.f64 beta)))
(*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 1 (*.f64 (cbrt.f64 beta) beta)))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 beta))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 beta (cbrt.f64 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) beta))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (sqrt.f64 beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))) (pow.f64 (cbrt.f64 beta) 2))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) beta)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (pow.f64 (cbrt.f64 beta) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) 2) (/.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))))
(pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) 1)
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) beta) 2)
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta))) 3)
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) 3) 1/3)
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(pow.f64 (*.f64 beta (/.f64 beta (+.f64 1 alpha))) -1)
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(neg.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (neg.f64 beta)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) 2))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta))))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) 3))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta))))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta beta))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (*.f64 beta beta))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta beta))) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta beta))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (*.f64 beta beta))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta))))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (/.f64 1 beta) beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.02%
(/.f64 (+.f64 alpha 1) beta)
0.33%
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
Compiler

Compiled 33 to 21 computations (36.4% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
alpha
@0
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
1.0ms
beta
@0
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
0.0ms
alpha
@-inf
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
0.0ms
alpha
@inf
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
0.0ms
beta
@inf
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))

rewrite86.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1346×associate-/r/
1316×distribute-lft-in
1242×associate-/l/
270×add-sqr-sqrt
264×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01144
125744
2384844
Stop Event
node limit
Counts
2 → 125
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 alpha 1) beta)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 beta) (*.f64 (/.f64 1 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 beta) alpha) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 alpha 1) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 alpha 1)) (*.f64 (sqrt.f64 (+.f64 alpha 1)) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)) (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (*.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 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alpha 1) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 beta)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) beta)))))))

simplify119.0ms (0.6%)

Algorithm
egg-herbie
Rules
1186×+-commutative
1052×associate-+r+
752×associate-/l*
658×associate-*r*
638×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04758129
114907483
274807483
Stop Event
node limit
Counts
173 → 241
Calls
Call 1
Inputs
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (*.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) alpha))
(+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 2)) (*.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) alpha)))
(+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) alpha) (*.f64 (-.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 4)))) (pow.f64 alpha 3)))))
(/.f64 1 beta)
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (*.f64 beta alpha))) (+.f64 (/.f64 3 (*.f64 beta alpha)) (/.f64 1 alpha)))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (-.f64 (/.f64 1 beta) (+.f64 1 (*.f64 3 (/.f64 1 beta))))) (pow.f64 alpha 2)))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 beta alpha))) (/.f64 1 alpha)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (-.f64 (/.f64 1 beta) (+.f64 1 (*.f64 3 (/.f64 1 beta))))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (-.f64 (/.f64 1 beta) (+.f64 1 (*.f64 3 (/.f64 1 beta))))) (pow.f64 alpha 2))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 beta alpha))) (/.f64 1 alpha)))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) (*.f64 beta alpha))) (/.f64 1 (*.f64 beta alpha))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) (*.f64 beta alpha))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 beta 3) beta))) (+.f64 beta 3)) (pow.f64 alpha 2))))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) (*.f64 beta alpha))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) beta)) (/.f64 1 beta))) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 beta 3) beta))) (+.f64 beta 3)) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 3 alpha)))
(+.f64 (/.f64 1 (*.f64 beta (+.f64 3 alpha))) (+.f64 (*.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 alpha (*.f64 beta (+.f64 3 alpha)))))
(+.f64 (/.f64 1 (*.f64 beta (+.f64 3 alpha))) (+.f64 (*.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 3 alpha)) (/.f64 alpha (*.f64 beta (+.f64 3 alpha))))))
(+.f64 (/.f64 1 (*.f64 beta (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 4)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 4))))) (+.f64 (*.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 3 alpha)) (/.f64 alpha (*.f64 beta (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 4)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 4))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 4)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 4))))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 alpha beta)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 alpha beta)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) (fma.f64 (neg.f64 (+.f64 beta 3)) 1 (+.f64 beta 3))))
(+.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 3))))
(+.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) (+.f64 beta 3))))
(+.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) alpha) (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) (neg.f64 (+.f64 beta 3))))
(+.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) alpha) (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) (+.f64 (neg.f64 beta) -3)))
(+.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) alpha) (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)))))
(+.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) alpha) (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (cbrt.f64 (+.f64 beta 3)))))
(+.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta)) (*.f64 alpha alpha)) (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta)) (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(+.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta)) (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))) (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta)) (*.f64 alpha alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))))) 1)
(*.f64 1 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 alpha 1) (*.f64 (/.f64 1 beta) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 alpha 1) (/.f64 1 (*.f64 beta (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (-.f64 (-.f64 alpha beta) 3) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) 1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3))))) (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3))))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)) (*.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)) (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3))))) 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 alpha 1) beta))
(*.f64 (/.f64 (-.f64 -1 alpha) beta) (/.f64 1 (-.f64 -3 (+.f64 alpha beta))))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 beta))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) (-.f64 (-.f64 alpha beta) 3))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(*.f64 (/.f64 1 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (*.f64 (/.f64 (+.f64 alpha 1) beta) (-.f64 (-.f64 alpha beta) 3)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (*.f64 (/.f64 (+.f64 alpha 1) beta) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(*.f64 (/.f64 1 (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) (+.f64 alpha 1))
(*.f64 (/.f64 1 (-.f64 -3 (+.f64 alpha beta))) (/.f64 (-.f64 -1 alpha) beta))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (sqrt.f64 (+.f64 alpha 1)) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 alpha (+.f64 beta 3))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) beta))
(*.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (/.f64 1 beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) beta)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)) (+.f64 alpha (+.f64 beta 3))) (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)) (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3))))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (neg.f64 (-.f64 (-.f64 alpha beta) 3)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(*.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) 2))) (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (-.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha alpha))) (+.f64 beta (-.f64 3 alpha)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (-.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 9)) (+.f64 alpha (+.f64 beta -3)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 27 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (-.f64 9 (*.f64 (+.f64 alpha beta) 3))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (+.f64 alpha 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) (cbrt.f64 (+.f64 alpha 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) 2) (+.f64 alpha (+.f64 beta 3))) (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) 1) (/.f64 (+.f64 alpha 1) beta))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) beta) (+.f64 alpha 1))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (sqrt.f64 beta)) (/.f64 (+.f64 alpha 1) (sqrt.f64 beta)))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (+.f64 alpha 1) (cbrt.f64 beta)))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (neg.f64 beta)) (-.f64 -1 alpha))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 beta 1)) (+.f64 alpha 1))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 beta (sqrt.f64 (+.f64 alpha 1)))) (sqrt.f64 (+.f64 alpha 1)))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2))) (cbrt.f64 (+.f64 alpha 1)))
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) beta) (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (-.f64 (-.f64 alpha beta) 3))
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) beta) (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (sqrt.f64 (-.f64 (-.f64 alpha beta) 3)))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (cbrt.f64 (-.f64 (-.f64 alpha beta) 3)))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3))))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) 3) 1/3)
(pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 beta (+.f64 alpha 1))) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (-.f64 -3 (+.f64 alpha beta))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha 1) beta) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3))))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta (+.f64 alpha (+.f64 beta 3))))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta (+.f64 alpha (+.f64 beta 3))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3))))))
(+.f64 (/.f64 1 beta) (*.f64 (/.f64 1 beta) alpha))
(+.f64 (*.f64 (/.f64 1 beta) alpha) (/.f64 1 beta))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) beta))) 1)
(*.f64 1 (/.f64 (+.f64 alpha 1) beta))
(*.f64 (+.f64 alpha 1) (/.f64 1 beta))
(*.f64 (/.f64 (+.f64 alpha 1) beta) 1)
(*.f64 (sqrt.f64 (+.f64 alpha 1)) (*.f64 (sqrt.f64 (+.f64 alpha 1)) (/.f64 1 beta)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)) (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (*.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 1 beta)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)))
(*.f64 (/.f64 1 beta) (+.f64 alpha 1))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (neg.f64 beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (+.f64 alpha 1) (sqrt.f64 beta)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (+.f64 alpha 1) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (neg.f64 beta)) (-.f64 -1 alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) beta) (sqrt.f64 (+.f64 alpha 1)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) 1) (/.f64 (sqrt.f64 (+.f64 alpha 1)) beta))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (+.f64 alpha 1)) (cbrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha 1)) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (sqrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)))
(*.f64 (/.f64 1 (/.f64 beta (sqrt.f64 (+.f64 alpha 1)))) (sqrt.f64 (+.f64 alpha 1)))
(*.f64 (/.f64 1 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2))) (cbrt.f64 (+.f64 alpha 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) beta) (cbrt.f64 (+.f64 alpha 1)))
(*.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 1 beta)) (fma.f64 alpha alpha -1)) (+.f64 alpha 1))
(*.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 1 beta)) (-.f64 (pow.f64 alpha 3) 1)) (+.f64 1 (+.f64 alpha (*.f64 alpha alpha))))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 beta)) (-.f64 (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha)) (*.f64 (-.f64 1 alpha) (-.f64 1 alpha)))) (+.f64 (fma.f64 alpha alpha -1) alpha))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 beta)) (+.f64 (pow.f64 (*.f64 alpha alpha) 3) (pow.f64 (-.f64 1 alpha) 3))) (+.f64 (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha)) (-.f64 (*.f64 (-.f64 1 alpha) (-.f64 1 alpha)) (*.f64 (*.f64 alpha alpha) (-.f64 1 alpha)))))
(pow.f64 (/.f64 (+.f64 alpha 1) beta) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) beta) 3) 1/3)
(pow.f64 (/.f64 beta (+.f64 alpha 1)) -1)
(neg.f64 (/.f64 (+.f64 alpha 1) (neg.f64 beta)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) beta) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) beta))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) beta) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 beta 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) beta)))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 beta)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 beta)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) beta)))
Outputs
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (*.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) alpha))
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (*.f64 (-.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 2))) alpha))
(fma.f64 (-.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 2))) alpha (/.f64 (/.f64 1 beta) (+.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 2)) (*.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) alpha)))
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (fma.f64 (-.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 3)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 2))) (*.f64 alpha alpha) (*.f64 (-.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 2))) alpha)))
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (fma.f64 (-.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 2))) alpha (*.f64 (-.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 3)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 2))) (*.f64 alpha alpha))))
(+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) alpha) (*.f64 (-.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 4)))) (pow.f64 alpha 3)))))
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (fma.f64 (-.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 3)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 2))) (*.f64 alpha alpha) (fma.f64 (-.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 2))) alpha (*.f64 (-.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 3)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 4))) (pow.f64 alpha 3)))))
(/.f64 1 beta)
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (*.f64 beta alpha))) (+.f64 (/.f64 3 (*.f64 beta alpha)) (/.f64 1 alpha)))
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 (/.f64 1 beta) alpha)) (+.f64 (/.f64 3 (*.f64 beta alpha)) (/.f64 1 alpha)))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 1 (*.f64 beta alpha)) (+.f64 (/.f64 (/.f64 3 alpha) beta) (/.f64 1 alpha))))
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(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 beta)) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 beta)))
(/.f64 (exp.f64 (log1p.f64 alpha)) beta)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) beta)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)

localize227.0ms (1.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.03%
(*.f64 (+.f64 2 alpha) (+.f64 3 alpha))
0.07%
(*.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2))
4.48%
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
Compiler

Compiled 68 to 42 computations (38.2% saved)

series216.0ms (1.1%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
210.0ms
alpha
@-inf
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
1.0ms
alpha
@0
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
1.0ms
beta
@0
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
1.0ms
beta
@inf
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
1.0ms
beta
@-inf
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))

rewrite117.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1348×associate-/l/
500×+-commutative
468×associate-+l+
424×associate-+r+
416×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016111
1393111
26134111
Stop Event
node limit
Counts
3 → 163
Calls
Call 1
Inputs
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
(*.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2))
(*.f64 (+.f64 2 alpha) (+.f64 3 alpha))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha 3) (+.f64 alpha (+.f64 beta 2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha 3) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha (+.f64 beta 1)) (/.f64 1 (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha 3) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha 3) (+.f64 alpha (+.f64 beta 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha 3) (+.f64 alpha (+.f64 beta 2)))))) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha 3) (+.f64 alpha (+.f64 beta 2)))))))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha 3) (+.f64 alpha beta))) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha 3) 2)) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha 3) (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) alpha) (*.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) alpha) (+.f64 (*.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) beta) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) (+.f64 beta 2)) (*.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (*.f64 alpha 3) 6)) (*.f64 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simplify234.0ms (1.1%)

Algorithm
egg-herbie
Rules
1276×distribute-lft-in
1138×distribute-rgt-in
1044×associate-*r*
948×associate-/r*
940×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063714943
1226314129
Stop Event
node limit
Counts
223 → 335
Calls
Call 1
Inputs
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(+.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 beta 2))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))) alpha))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 beta 2))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (+.f64 beta 2)))))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 beta 2))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))) alpha)))
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(/.f64 1 (pow.f64 alpha 2))
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(/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
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(/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
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(*.f64 6 (+.f64 beta 2))
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(pow.f64 alpha 3)
(+.f64 (*.f64 (+.f64 beta 7) (pow.f64 alpha 2)) (pow.f64 alpha 3))
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(pow.f64 alpha 3)
(+.f64 (*.f64 (+.f64 beta 7) (pow.f64 alpha 2)) (pow.f64 alpha 3))
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(*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))
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(*.f64 beta (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
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(*.f64 beta (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
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(+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (*.f64 beta (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
6
(+.f64 6 (*.f64 5 alpha))
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(pow.f64 alpha 2)
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(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(pow.f64 alpha 2)
(+.f64 (*.f64 5 alpha) (pow.f64 alpha 2))
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha 3) (+.f64 alpha (+.f64 beta 2))))))) 1)
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(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha 3) (+.f64 alpha (+.f64 beta 2)))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha 3) (+.f64 alpha (+.f64 beta 2)))))) 2))
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(/.f64 (*.f64 (-.f64 9 (*.f64 alpha alpha)) (-.f64 4 (*.f64 alpha alpha))) (*.f64 1 (*.f64 (-.f64 3 alpha) (-.f64 2 alpha))))
(/.f64 (*.f64 (-.f64 9 (*.f64 alpha alpha)) (+.f64 8 (pow.f64 alpha 3))) (*.f64 (-.f64 3 alpha) (+.f64 4 (*.f64 alpha (-.f64 alpha 2)))))
(/.f64 (*.f64 (-.f64 9 (*.f64 alpha alpha)) (+.f64 8 (pow.f64 alpha 3))) (*.f64 1 (*.f64 (-.f64 3 alpha) (+.f64 4 (*.f64 alpha (-.f64 alpha 2))))))
(/.f64 (*.f64 (+.f64 27 (pow.f64 alpha 3)) (-.f64 4 (*.f64 alpha alpha))) (*.f64 (+.f64 9 (*.f64 alpha (-.f64 alpha 3))) (-.f64 2 alpha)))
(/.f64 (*.f64 (+.f64 27 (pow.f64 alpha 3)) (-.f64 4 (*.f64 alpha alpha))) (*.f64 1 (*.f64 (+.f64 9 (*.f64 alpha (-.f64 alpha 3))) (-.f64 2 alpha))))
(/.f64 (*.f64 (+.f64 27 (pow.f64 alpha 3)) (+.f64 8 (pow.f64 alpha 3))) (*.f64 (+.f64 9 (*.f64 alpha (-.f64 alpha 3))) (+.f64 4 (*.f64 alpha (-.f64 alpha 2)))))
(/.f64 (*.f64 (+.f64 27 (pow.f64 alpha 3)) (+.f64 8 (pow.f64 alpha 3))) (*.f64 1 (*.f64 (+.f64 9 (*.f64 alpha (-.f64 alpha 3))) (+.f64 4 (*.f64 alpha (-.f64 alpha 2))))))
(pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 alpha 2)) (+.f64 alpha 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 alpha 3) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha 3) 3) (pow.f64 (+.f64 alpha 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(exp.f64 (log.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(fma.f64 (+.f64 alpha 2) 3 (*.f64 alpha (+.f64 alpha 2)))
(fma.f64 3 (+.f64 alpha 2) (*.f64 alpha (+.f64 alpha 2)))
Outputs
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(+.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 beta 2))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))) alpha))
(fma.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (/.f64 1/6 (+.f64 beta 2)) (*.f64 -1/36 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 2) (fma.f64 2 (+.f64 beta 5) (+.f64 (*.f64 3 beta) 6)))))) alpha))
(fma.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (/.f64 1/6 (+.f64 beta 2)) (/.f64 (*.f64 -1/36 (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (fma.f64 2 (+.f64 beta 5) (+.f64 6 (*.f64 beta 3)))))) alpha))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 beta 2))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (+.f64 beta 2)))))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 beta 2))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))) alpha)))
(fma.f64 -1 (*.f64 (*.f64 alpha alpha) (fma.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 beta 2)) (*.f64 -1/36 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 2) (fma.f64 2 (+.f64 beta 5) (+.f64 (*.f64 3 beta) 6)))))) (/.f64 (+.f64 beta 2) (fma.f64 2 (+.f64 beta 5) (+.f64 (*.f64 3 beta) 6))))))) (fma.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (/.f64 1/6 (+.f64 beta 2)) (*.f64 -1/36 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 2) (fma.f64 2 (+.f64 beta 5) (+.f64 (*.f64 3 beta) 6)))))) alpha)))
(fma.f64 -1 (*.f64 alpha (*.f64 alpha (fma.f64 1/36 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 7)) (/.f64 1/6 (/.f64 (+.f64 beta 2) (*.f64 (fma.f64 2 (+.f64 beta 5) (+.f64 6 (*.f64 beta 3))) (+.f64 (/.f64 1/6 (+.f64 beta 2)) (/.f64 (*.f64 -1/36 (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (fma.f64 2 (+.f64 beta 5) (+.f64 6 (*.f64 beta 3)))))))))))) (fma.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (/.f64 1/6 (+.f64 beta 2)) (/.f64 (*.f64 -1/36 (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (fma.f64 2 (+.f64 beta 5) (+.f64 6 (*.f64 beta 3)))))) alpha)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 beta 2))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (+.f64 beta 2)))))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 beta 2))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))) alpha) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 beta 2))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 7)) (+.f64 beta 2))) (+.f64 (*.f64 1/36 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 beta 2))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (+.f64 beta 2)))) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (+.f64 beta 2))))) (pow.f64 alpha 3))))))
(fma.f64 -1 (*.f64 (*.f64 alpha alpha) (fma.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 beta 2)) (*.f64 -1/36 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 2) (fma.f64 2 (+.f64 beta 5) (+.f64 (*.f64 3 beta) 6)))))) (/.f64 (+.f64 beta 2) (fma.f64 2 (+.f64 beta 5) (+.f64 (*.f64 3 beta) 6))))))) (fma.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (fma.f64 (+.f64 (/.f64 1/6 (+.f64 beta 2)) (*.f64 -1/36 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 2) (fma.f64 2 (+.f64 beta 5) (+.f64 (*.f64 3 beta) 6)))))) alpha (neg.f64 (*.f64 (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 beta 2)) (*.f64 -1/36 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 2) (fma.f64 2 (+.f64 beta 5) (+.f64 (*.f64 3 beta) 6)))))) (/.f64 (+.f64 beta 2) (+.f64 beta 7))) (fma.f64 1/36 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1/6 (/.f64 (fma.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 beta 2)) (*.f64 -1/36 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 2) (fma.f64 2 (+.f64 beta 5) (+.f64 (*.f64 3 beta) 6)))))) (/.f64 (+.f64 beta 2) (fma.f64 2 (+.f64 beta 5) (+.f64 (*.f64 3 beta) 6)))))) (/.f64 (+.f64 beta 2) (fma.f64 2 (+.f64 beta 5) (+.f64 (*.f64 3 beta) 6))))))) (pow.f64 alpha 3))))))
(fma.f64 -1 (*.f64 alpha (*.f64 alpha (fma.f64 1/36 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 7)) (/.f64 1/6 (/.f64 (+.f64 beta 2) (*.f64 (fma.f64 2 (+.f64 beta 5) (+.f64 6 (*.f64 beta 3))) (+.f64 (/.f64 1/6 (+.f64 beta 2)) (/.f64 (*.f64 -1/36 (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (fma.f64 2 (+.f64 beta 5) (+.f64 6 (*.f64 beta 3)))))))))))) (fma.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (fma.f64 (+.f64 (/.f64 1/6 (+.f64 beta 2)) (/.f64 (*.f64 -1/36 (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (fma.f64 2 (+.f64 beta 5) (+.f64 6 (*.f64 beta 3)))))) alpha (neg.f64 (*.f64 (fma.f64 1/6 (*.f64 (/.f64 (+.f64 (/.f64 1/6 (+.f64 beta 2)) (/.f64 (*.f64 -1/36 (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (fma.f64 2 (+.f64 beta 5) (+.f64 6 (*.f64 beta 3)))))) (+.f64 beta 2)) (+.f64 beta 7)) (fma.f64 1/36 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1/6 (*.f64 (/.f64 (fma.f64 1/36 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 7)) (/.f64 1/6 (/.f64 (+.f64 beta 2) (*.f64 (fma.f64 2 (+.f64 beta 5) (+.f64 6 (*.f64 beta 3))) (+.f64 (/.f64 1/6 (+.f64 beta 2)) (/.f64 (*.f64 -1/36 (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (fma.f64 2 (+.f64 beta 5) (+.f64 6 (*.f64 beta 3)))))))))) (+.f64 beta 2)) (fma.f64 2 (+.f64 beta 5) (+.f64 6 (*.f64 beta 3))))))) (pow.f64 alpha 3))))))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(-.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 6 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 6 (pow.f64 alpha 3)))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 -6 (pow.f64 alpha 3)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 6 (+.f64 (*.f64 5 (+.f64 beta 2)) (*.f64 -6 (+.f64 beta 7)))) (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (*.f64 6 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 6 (fma.f64 5 (+.f64 beta 2) (+.f64 (*.f64 -6 beta) -42))) (pow.f64 alpha 4)) (/.f64 1 (*.f64 alpha alpha))) (/.f64 6 (pow.f64 alpha 3)))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 (+.f64 (*.f64 beta -6) -42) (+.f64 (*.f64 beta 5) 16)) (pow.f64 alpha 4)) (/.f64 1 (*.f64 alpha alpha))) (/.f64 -6 (pow.f64 alpha 3)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 6 (+.f64 (*.f64 5 (+.f64 beta 2)) (*.f64 -6 (+.f64 beta 7)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 (+.f64 (*.f64 5 (+.f64 beta 2)) (*.f64 -6 (+.f64 beta 7)))) (+.f64 beta 7))) (+.f64 (*.f64 -6 (+.f64 6 (*.f64 5 (+.f64 beta 2)))) (*.f64 6 (+.f64 beta 2)))) (pow.f64 alpha 5))))) (*.f64 6 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 6 (fma.f64 5 (+.f64 beta 2) (+.f64 (*.f64 -6 beta) -42))) (pow.f64 alpha 4)) (/.f64 1 (*.f64 alpha alpha))) (neg.f64 (/.f64 (fma.f64 -1 (*.f64 (+.f64 beta 7) (+.f64 6 (fma.f64 5 (+.f64 beta 2) (+.f64 (*.f64 -6 beta) -42)))) (fma.f64 -6 (+.f64 6 (+.f64 (*.f64 5 beta) 10)) (+.f64 (*.f64 6 beta) 12))) (pow.f64 alpha 5)))) (/.f64 6 (pow.f64 alpha 3)))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 (+.f64 (*.f64 beta -6) -42) (+.f64 (*.f64 beta 5) 16)) (pow.f64 alpha 4)) (/.f64 1 (*.f64 alpha alpha))) (+.f64 (neg.f64 (/.f64 (fma.f64 -1 (*.f64 (+.f64 beta 7) (+.f64 (+.f64 (*.f64 beta -6) -42) (+.f64 (*.f64 beta 5) 16))) (fma.f64 -6 (+.f64 (*.f64 beta 5) 16) (+.f64 12 (*.f64 beta 6)))) (pow.f64 alpha 5))) (/.f64 -6 (pow.f64 alpha 3))))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (+.f64 3 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2))))) (pow.f64 alpha 3))) (/.f64 1 (pow.f64 alpha 2)))
(fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (+.f64 beta 1) (+.f64 3 (neg.f64 (fma.f64 -1 (+.f64 beta 2) -2))))) (pow.f64 alpha 3)) (/.f64 1 (*.f64 alpha alpha)))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 (*.f64 1 (-.f64 (-.f64 (+.f64 beta 1) 3) (neg.f64 (+.f64 (*.f64 beta -1) -4)))) (pow.f64 alpha 3)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 3 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2)) (*.f64 -2 (+.f64 beta 2)))) (*.f64 -1 (*.f64 (+.f64 3 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2))) (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (+.f64 3 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2)))))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (+.f64 3 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2))))) (pow.f64 alpha 3))) (/.f64 1 (pow.f64 alpha 2))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (fma.f64 3 (fma.f64 -1 (+.f64 beta 2) -2) (+.f64 (*.f64 -2 beta) -4)) (*.f64 (neg.f64 (+.f64 3 (neg.f64 (fma.f64 -1 (+.f64 beta 2) -2)))) (*.f64 -1 (-.f64 (+.f64 beta 1) (+.f64 3 (neg.f64 (fma.f64 -1 (+.f64 beta 2) -2))))))) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (+.f64 beta 1) (+.f64 3 (neg.f64 (fma.f64 -1 (+.f64 beta 2) -2))))) (pow.f64 alpha 3)) (/.f64 1 (*.f64 alpha alpha))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 (*.f64 1 (-.f64 (-.f64 (+.f64 beta 1) 3) (neg.f64 (+.f64 (*.f64 beta -1) -4)))) (pow.f64 alpha 3)) (/.f64 (*.f64 1 (+.f64 (fma.f64 3 (+.f64 (*.f64 beta -1) -4) (+.f64 -4 (*.f64 beta -2))) (*.f64 (+.f64 -3 (*.f64 1 (+.f64 (*.f64 beta -1) -4))) (-.f64 (-.f64 (+.f64 beta 1) 3) (neg.f64 (+.f64 (*.f64 beta -1) -4)))))) (pow.f64 alpha 4))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 3 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2)) (*.f64 -2 (+.f64 beta 2)))) (*.f64 -1 (*.f64 (+.f64 3 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2))) (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (+.f64 3 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2)))))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (+.f64 3 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2))))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 3 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2)) (*.f64 -2 (+.f64 beta 2))) (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (+.f64 3 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2)))))) (pow.f64 alpha 5))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (+.f64 3 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2))) (+.f64 (*.f64 -1 (+.f64 (*.f64 3 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2)) (*.f64 -2 (+.f64 beta 2)))) (*.f64 -1 (*.f64 (+.f64 3 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2))) (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (+.f64 3 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2))))))))) (pow.f64 alpha 5)) (*.f64 -6 (/.f64 (+.f64 beta 2) (pow.f64 alpha 5))))))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (fma.f64 3 (fma.f64 -1 (+.f64 beta 2) -2) (+.f64 (*.f64 -2 beta) -4)) (*.f64 (neg.f64 (+.f64 3 (neg.f64 (fma.f64 -1 (+.f64 beta 2) -2)))) (*.f64 -1 (-.f64 (+.f64 beta 1) (+.f64 3 (neg.f64 (fma.f64 -1 (+.f64 beta 2) -2))))))) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (+.f64 beta 1) (+.f64 3 (neg.f64 (fma.f64 -1 (+.f64 beta 2) -2))))) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (fma.f64 3 (fma.f64 -1 (+.f64 beta 2) -2) (+.f64 (*.f64 -2 beta) -4)) (/.f64 (pow.f64 alpha 5) (*.f64 -1 (-.f64 (+.f64 beta 1) (+.f64 3 (neg.f64 (fma.f64 -1 (+.f64 beta 2) -2))))))) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 (+.f64 3 (neg.f64 (fma.f64 -1 (+.f64 beta 2) -2))) (/.f64 (pow.f64 alpha 5) (fma.f64 -1 (fma.f64 3 (fma.f64 -1 (+.f64 beta 2) -2) (+.f64 (*.f64 -2 beta) -4)) (*.f64 (neg.f64 (+.f64 3 (neg.f64 (fma.f64 -1 (+.f64 beta 2) -2)))) (*.f64 -1 (-.f64 (+.f64 beta 1) (+.f64 3 (neg.f64 (fma.f64 -1 (+.f64 beta 2) -2))))))))) (*.f64 -6 (/.f64 (+.f64 beta 2) (pow.f64 alpha 5))))))))
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(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
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(/.f64 (*.f64 (+.f64 alpha 3) (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))
(/.f64 (-.f64 4 (*.f64 alpha alpha)) (/.f64 (-.f64 2 alpha) (+.f64 3 alpha)))
(*.f64 (/.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 2 alpha)) (+.f64 3 alpha))
(/.f64 (*.f64 (+.f64 alpha 3) (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 alpha (-.f64 alpha 2))))
(/.f64 (+.f64 (pow.f64 alpha 3) 8) (/.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))) (+.f64 3 alpha)))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))) (+.f64 3 alpha))
(/.f64 (*.f64 (-.f64 4 (*.f64 alpha alpha)) (+.f64 alpha 3)) (-.f64 2 alpha))
(/.f64 (-.f64 4 (*.f64 alpha alpha)) (/.f64 (-.f64 2 alpha) (+.f64 3 alpha)))
(*.f64 (/.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 2 alpha)) (+.f64 3 alpha))
(/.f64 (*.f64 (+.f64 8 (pow.f64 alpha 3)) (+.f64 alpha 3)) (+.f64 4 (*.f64 alpha (-.f64 alpha 2))))
(/.f64 (+.f64 (pow.f64 alpha 3) 8) (/.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))) (+.f64 3 alpha)))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))) (+.f64 3 alpha))
(/.f64 (*.f64 (-.f64 9 (*.f64 alpha alpha)) (+.f64 alpha 2)) (-.f64 3 alpha))
(/.f64 (+.f64 2 alpha) (/.f64 (-.f64 3 alpha) (-.f64 9 (*.f64 alpha alpha))))
(*.f64 (/.f64 (+.f64 2 alpha) (-.f64 3 alpha)) (-.f64 9 (*.f64 alpha alpha)))
(/.f64 (*.f64 (+.f64 27 (pow.f64 alpha 3)) (+.f64 alpha 2)) (+.f64 9 (*.f64 alpha (-.f64 alpha 3))))
(/.f64 (+.f64 (pow.f64 alpha 3) 27) (/.f64 (+.f64 9 (*.f64 alpha (+.f64 alpha -3))) (+.f64 2 alpha)))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 27) (+.f64 9 (*.f64 alpha (+.f64 alpha -3)))) (+.f64 2 alpha))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 alpha 3) 6) (+.f64 (*.f64 alpha 3) 6)) (*.f64 (*.f64 alpha (+.f64 alpha 2)) (*.f64 alpha (+.f64 alpha 2)))) (-.f64 (+.f64 (*.f64 alpha 3) 6) (*.f64 alpha (+.f64 alpha 2))))
(/.f64 (-.f64 (*.f64 (fma.f64 alpha 3 6) (fma.f64 alpha 3 6)) (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (fma.f64 alpha 3 6) (*.f64 alpha (+.f64 2 alpha))))
(/.f64 (+.f64 6 (*.f64 alpha (+.f64 5 alpha))) (/.f64 (-.f64 (fma.f64 alpha 3 6) (*.f64 alpha (+.f64 2 alpha))) (-.f64 (fma.f64 alpha 3 6) (*.f64 alpha (+.f64 2 alpha)))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 alpha 3) 6) (+.f64 (*.f64 alpha 3) 6)) (*.f64 (*.f64 alpha (+.f64 alpha 2)) (*.f64 alpha (+.f64 alpha 2)))) (*.f64 1 (-.f64 (+.f64 (*.f64 alpha 3) 6) (*.f64 alpha (+.f64 alpha 2)))))
(/.f64 (-.f64 (*.f64 (fma.f64 alpha 3 6) (fma.f64 alpha 3 6)) (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (fma.f64 alpha 3 6) (*.f64 alpha (+.f64 2 alpha))))
(/.f64 (+.f64 6 (*.f64 alpha (+.f64 5 alpha))) (/.f64 (-.f64 (fma.f64 alpha 3 6) (*.f64 alpha (+.f64 2 alpha))) (-.f64 (fma.f64 alpha 3 6) (*.f64 alpha (+.f64 2 alpha)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 alpha 3) 6) 3) (pow.f64 (*.f64 alpha (+.f64 alpha 2)) 3)) (+.f64 (*.f64 (+.f64 (*.f64 alpha 3) 6) (+.f64 (*.f64 alpha 3) 6)) (-.f64 (*.f64 (*.f64 alpha (+.f64 alpha 2)) (*.f64 alpha (+.f64 alpha 2))) (*.f64 (+.f64 (*.f64 alpha 3) 6) (*.f64 alpha (+.f64 alpha 2))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 alpha 3 6) 3) (pow.f64 (*.f64 alpha (+.f64 2 alpha)) 3)) (fma.f64 (fma.f64 alpha 3 6) (fma.f64 alpha 3 6) (*.f64 (*.f64 alpha (+.f64 2 alpha)) (-.f64 (*.f64 alpha (+.f64 2 alpha)) (fma.f64 alpha 3 6)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 alpha 3) 6) 3) (pow.f64 (*.f64 alpha (+.f64 alpha 2)) 3)) (*.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 alpha 3) 6) (+.f64 (*.f64 alpha 3) 6)) (-.f64 (*.f64 (*.f64 alpha (+.f64 alpha 2)) (*.f64 alpha (+.f64 alpha 2))) (*.f64 (+.f64 (*.f64 alpha 3) 6) (*.f64 alpha (+.f64 alpha 2)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 alpha 3 6) 3) (pow.f64 (*.f64 alpha (+.f64 2 alpha)) 3)) (fma.f64 (fma.f64 alpha 3 6) (fma.f64 alpha 3 6) (*.f64 (*.f64 alpha (+.f64 2 alpha)) (-.f64 (*.f64 alpha (+.f64 2 alpha)) (fma.f64 alpha 3 6)))))
(/.f64 (*.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 9 (*.f64 alpha alpha))) (*.f64 (-.f64 2 alpha) (-.f64 3 alpha)))
(/.f64 (-.f64 9 (*.f64 alpha alpha)) (/.f64 (*.f64 (-.f64 2 alpha) (-.f64 3 alpha)) (-.f64 4 (*.f64 alpha alpha))))
(*.f64 (/.f64 (-.f64 9 (*.f64 alpha alpha)) (*.f64 (-.f64 2 alpha) (-.f64 3 alpha))) (-.f64 4 (*.f64 alpha alpha)))
(/.f64 (*.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 9 (*.f64 alpha alpha))) (*.f64 1 (*.f64 (-.f64 2 alpha) (-.f64 3 alpha))))
(/.f64 (-.f64 9 (*.f64 alpha alpha)) (/.f64 (*.f64 (-.f64 2 alpha) (-.f64 3 alpha)) (-.f64 4 (*.f64 alpha alpha))))
(*.f64 (/.f64 (-.f64 9 (*.f64 alpha alpha)) (*.f64 (-.f64 2 alpha) (-.f64 3 alpha))) (-.f64 4 (*.f64 alpha alpha)))
(/.f64 (*.f64 (-.f64 4 (*.f64 alpha alpha)) (+.f64 27 (pow.f64 alpha 3))) (*.f64 (-.f64 2 alpha) (+.f64 9 (*.f64 alpha (-.f64 alpha 3)))))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 27) (+.f64 9 (*.f64 alpha (+.f64 alpha -3)))) (/.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 2 alpha)))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 27) (-.f64 2 alpha)) (+.f64 9 (*.f64 alpha (+.f64 alpha -3)))) (-.f64 4 (*.f64 alpha alpha)))
(/.f64 (*.f64 (-.f64 4 (*.f64 alpha alpha)) (+.f64 27 (pow.f64 alpha 3))) (*.f64 1 (*.f64 (-.f64 2 alpha) (+.f64 9 (*.f64 alpha (-.f64 alpha 3))))))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 27) (+.f64 9 (*.f64 alpha (+.f64 alpha -3)))) (/.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 2 alpha)))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 27) (-.f64 2 alpha)) (+.f64 9 (*.f64 alpha (+.f64 alpha -3)))) (-.f64 4 (*.f64 alpha alpha)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 alpha 3)) (-.f64 9 (*.f64 alpha alpha))) (*.f64 (+.f64 4 (*.f64 alpha (-.f64 alpha 2))) (-.f64 3 alpha)))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))) (/.f64 (-.f64 9 (*.f64 alpha alpha)) (-.f64 3 alpha)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 alpha 3)) (-.f64 9 (*.f64 alpha alpha))) (*.f64 1 (*.f64 (+.f64 4 (*.f64 alpha (-.f64 alpha 2))) (-.f64 3 alpha))))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))) (/.f64 (-.f64 9 (*.f64 alpha alpha)) (-.f64 3 alpha)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 alpha 3)) (+.f64 27 (pow.f64 alpha 3))) (*.f64 (+.f64 4 (*.f64 alpha (-.f64 alpha 2))) (+.f64 9 (*.f64 alpha (-.f64 alpha 3)))))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 27) (+.f64 9 (*.f64 alpha (+.f64 alpha -3)))) (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 alpha 3)) (+.f64 27 (pow.f64 alpha 3))) (*.f64 1 (*.f64 (+.f64 4 (*.f64 alpha (-.f64 alpha 2))) (+.f64 9 (*.f64 alpha (-.f64 alpha 3))))))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 27) (+.f64 9 (*.f64 alpha (+.f64 alpha -3)))) (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(/.f64 (*.f64 (-.f64 9 (*.f64 alpha alpha)) (-.f64 4 (*.f64 alpha alpha))) (*.f64 (-.f64 3 alpha) (-.f64 2 alpha)))
(/.f64 (-.f64 9 (*.f64 alpha alpha)) (/.f64 (*.f64 (-.f64 2 alpha) (-.f64 3 alpha)) (-.f64 4 (*.f64 alpha alpha))))
(*.f64 (/.f64 (-.f64 9 (*.f64 alpha alpha)) (*.f64 (-.f64 2 alpha) (-.f64 3 alpha))) (-.f64 4 (*.f64 alpha alpha)))
(/.f64 (*.f64 (-.f64 9 (*.f64 alpha alpha)) (-.f64 4 (*.f64 alpha alpha))) (*.f64 1 (*.f64 (-.f64 3 alpha) (-.f64 2 alpha))))
(/.f64 (-.f64 9 (*.f64 alpha alpha)) (/.f64 (*.f64 (-.f64 2 alpha) (-.f64 3 alpha)) (-.f64 4 (*.f64 alpha alpha))))
(*.f64 (/.f64 (-.f64 9 (*.f64 alpha alpha)) (*.f64 (-.f64 2 alpha) (-.f64 3 alpha))) (-.f64 4 (*.f64 alpha alpha)))
(/.f64 (*.f64 (-.f64 9 (*.f64 alpha alpha)) (+.f64 8 (pow.f64 alpha 3))) (*.f64 (-.f64 3 alpha) (+.f64 4 (*.f64 alpha (-.f64 alpha 2)))))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))) (/.f64 (-.f64 9 (*.f64 alpha alpha)) (-.f64 3 alpha)))
(/.f64 (*.f64 (-.f64 9 (*.f64 alpha alpha)) (+.f64 8 (pow.f64 alpha 3))) (*.f64 1 (*.f64 (-.f64 3 alpha) (+.f64 4 (*.f64 alpha (-.f64 alpha 2))))))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))) (/.f64 (-.f64 9 (*.f64 alpha alpha)) (-.f64 3 alpha)))
(/.f64 (*.f64 (+.f64 27 (pow.f64 alpha 3)) (-.f64 4 (*.f64 alpha alpha))) (*.f64 (+.f64 9 (*.f64 alpha (-.f64 alpha 3))) (-.f64 2 alpha)))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 27) (+.f64 9 (*.f64 alpha (+.f64 alpha -3)))) (/.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 2 alpha)))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 27) (-.f64 2 alpha)) (+.f64 9 (*.f64 alpha (+.f64 alpha -3)))) (-.f64 4 (*.f64 alpha alpha)))
(/.f64 (*.f64 (+.f64 27 (pow.f64 alpha 3)) (-.f64 4 (*.f64 alpha alpha))) (*.f64 1 (*.f64 (+.f64 9 (*.f64 alpha (-.f64 alpha 3))) (-.f64 2 alpha))))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 27) (+.f64 9 (*.f64 alpha (+.f64 alpha -3)))) (/.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 2 alpha)))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 27) (-.f64 2 alpha)) (+.f64 9 (*.f64 alpha (+.f64 alpha -3)))) (-.f64 4 (*.f64 alpha alpha)))
(/.f64 (*.f64 (+.f64 27 (pow.f64 alpha 3)) (+.f64 8 (pow.f64 alpha 3))) (*.f64 (+.f64 9 (*.f64 alpha (-.f64 alpha 3))) (+.f64 4 (*.f64 alpha (-.f64 alpha 2)))))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 27) (+.f64 9 (*.f64 alpha (+.f64 alpha -3)))) (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(/.f64 (*.f64 (+.f64 27 (pow.f64 alpha 3)) (+.f64 8 (pow.f64 alpha 3))) (*.f64 1 (*.f64 (+.f64 9 (*.f64 alpha (-.f64 alpha 3))) (+.f64 4 (*.f64 alpha (-.f64 alpha 2))))))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 27) (+.f64 9 (*.f64 alpha (+.f64 alpha -3)))) (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) 1)
(fma.f64 alpha 3 (fma.f64 alpha (+.f64 2 alpha) 6))
(+.f64 6 (*.f64 alpha (+.f64 5 alpha)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 2)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) 2)
(pow.f64 (sqrt.f64 (+.f64 6 (*.f64 alpha (+.f64 5 alpha)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 3)
(fma.f64 alpha 3 (fma.f64 alpha (+.f64 2 alpha) 6))
(+.f64 6 (*.f64 alpha (+.f64 5 alpha)))
(pow.f64 (pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) 3) 1/3)
(fma.f64 alpha 3 (fma.f64 alpha (+.f64 2 alpha) 6))
(+.f64 6 (*.f64 alpha (+.f64 5 alpha)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) 2))
(sqrt.f64 (pow.f64 (+.f64 6 (*.f64 alpha (+.f64 5 alpha))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 alpha 2)) (+.f64 alpha 3)))
(*.f64 (+.f64 3 alpha) (log.f64 (exp.f64 (+.f64 2 alpha))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))))
(fma.f64 alpha 3 (fma.f64 alpha (+.f64 2 alpha) 6))
(+.f64 6 (*.f64 alpha (+.f64 5 alpha)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) 3))
(fma.f64 alpha 3 (fma.f64 alpha (+.f64 2 alpha) 6))
(+.f64 6 (*.f64 alpha (+.f64 5 alpha)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 alpha 3) 3)))
(fma.f64 alpha 3 (fma.f64 alpha (+.f64 2 alpha) 6))
(+.f64 6 (*.f64 alpha (+.f64 5 alpha)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha 3) 3) (pow.f64 (+.f64 alpha 2) 3)))
(fma.f64 alpha 3 (fma.f64 alpha (+.f64 2 alpha) 6))
(+.f64 6 (*.f64 alpha (+.f64 5 alpha)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(fma.f64 alpha 3 (fma.f64 alpha (+.f64 2 alpha) 6))
(+.f64 6 (*.f64 alpha (+.f64 5 alpha)))
(exp.f64 (log.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(fma.f64 alpha 3 (fma.f64 alpha (+.f64 2 alpha) 6))
(+.f64 6 (*.f64 alpha (+.f64 5 alpha)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 1))
(fma.f64 alpha 3 (fma.f64 alpha (+.f64 2 alpha) 6))
(+.f64 6 (*.f64 alpha (+.f64 5 alpha)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(fma.f64 alpha 3 (fma.f64 alpha (+.f64 2 alpha) 6))
(+.f64 6 (*.f64 alpha (+.f64 5 alpha)))
(fma.f64 (+.f64 alpha 2) 3 (*.f64 alpha (+.f64 alpha 2)))
(fma.f64 alpha 3 (fma.f64 alpha (+.f64 2 alpha) 6))
(+.f64 6 (*.f64 alpha (+.f64 5 alpha)))
(fma.f64 3 (+.f64 alpha 2) (*.f64 alpha (+.f64 alpha 2)))
(fma.f64 alpha 3 (fma.f64 alpha (+.f64 2 alpha) 6))
(+.f64 6 (*.f64 alpha (+.f64 5 alpha)))

eval1.4s (6.9%)

Compiler

Compiled 44287 to 31965 computations (27.8% saved)

prune360.0ms (1.8%)

Pruning

32 alts after pruning (27 fresh and 5 done)

PrunedKeptTotal
New115991168
Fresh41822
Picked101
Done257
Total1166321198
Error
0%
Counts
1198 → 32
Alt Table
Click to see full alt table
StatusErrorProgram
51.78%
(pow.f64 beta -2)
9.21%
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
36.21%
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
26.06%
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
43.45%
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (/.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
52.16%
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 alpha (+.f64 alpha 4)))) (+.f64 alpha 3))
44.83%
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
65.18%
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
65.93%
(/.f64 (/.f64 alpha beta) beta)
43.53%
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
51.88%
(/.f64 (/.f64 1 beta) beta)
56.28%
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (*.f64 beta beta)))
51.11%
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 (+.f64 alpha beta) 2)))
41.99%
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
51.48%
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 4 (*.f64 alpha (+.f64 (+.f64 alpha 2) 2))) (+.f64 alpha 3)))
49.21%
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
28.96%
(/.f64 (+.f64 1/2 (*.f64 beta 1/4)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
42.06%
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha)) (-.f64 beta (+.f64 3 (*.f64 2 alpha)))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)))
69.72%
(/.f64 alpha (*.f64 beta beta))
51.72%
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
52.66%
(/.f64 1 (*.f64 beta beta))
96.65%
(/.f64 1 (*.f64 alpha alpha))
93.87%
(/.f64 1 beta)
87.62%
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
53.06%
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
97.45%
(/.f64 1/2 alpha)
8.41%
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))
29.22%
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)) (log.f64 (exp.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3)))))))
65.94%
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
12.88%
(*.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 2)))))
49.21%
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 beta beta)))
54.44%
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
Compiler

Compiled 444 to 325 computations (26.8% saved)

regimes120.0ms (0.6%)

Counts
65 → 1
Calls
Call 1
Inputs
(/.f64 1/2 alpha)
(/.f64 1 beta)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 beta beta)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (*.f64 beta beta)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 alpha (+.f64 alpha 4)))) (+.f64 alpha 3))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (+.f64 1/2 (*.f64 beta 1/4)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 4 (*.f64 alpha (+.f64 (+.f64 alpha 2) 2))) (+.f64 alpha 3)))
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 beta (+.f64 beta 2))) (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 2)))))
(/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))) (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (/.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)) (*.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))) (/.f64 1 (+.f64 alpha (+.f64 2 beta))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) 3)) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) (*.f64 2 (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (*.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) (+.f64 alpha beta)) (*.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 2))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(pow.f64 beta -2)
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (+.f64 (*.f64 beta (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha)) (-.f64 beta (+.f64 3 (*.f64 2 alpha)))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)))
(+.f64 (/.f64 (*.f64 1 (+.f64 1 (-.f64 alpha (*.f64 (+.f64 1 alpha) (+.f64 7 (*.f64 3 alpha)))))) (pow.f64 beta 3)) (+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 1 (*.f64 beta beta))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)) (log.f64 (exp.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3)))))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
Outputs
(/.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))) (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 3)))
Calls

3 calls:

50.0ms
alpha
30.0ms
beta
17.0ms
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
Results
ErrorSegmentsBranch
0.2%1alpha
0.2%1beta
0.2%1(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
Compiler

Compiled 1150 to 738 computations (35.8% saved)

regimes87.0ms (0.4%)

Counts
44 → 2
Calls
Call 1
Inputs
(/.f64 1/2 alpha)
(/.f64 1 beta)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 beta beta)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (*.f64 beta beta)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 alpha (+.f64 alpha 4)))) (+.f64 alpha 3))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (+.f64 1/2 (*.f64 beta 1/4)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 4 (*.f64 alpha (+.f64 (+.f64 alpha 2) 2))) (+.f64 alpha 3)))
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 beta (+.f64 beta 2))) (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 2)))))
(/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
Outputs
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
Calls

2 calls:

38.0ms
alpha
38.0ms
beta
Results
ErrorSegmentsBranch
1.65%2alpha
0.25%2beta
Compiler

Compiled 552 to 352 computations (36.2% saved)

bsearch17.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
5108221.3652172955
446899904.55568373
Results
15.0ms112×body256valid
Compiler

Compiled 364 to 252 computations (30.8% saved)

regimes125.0ms (0.6%)

Counts
42 → 2
Calls
Call 1
Inputs
(/.f64 1/2 alpha)
(/.f64 1 beta)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 beta beta)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (*.f64 beta beta)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 alpha (+.f64 alpha 4)))) (+.f64 alpha 3))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (+.f64 1/2 (*.f64 beta 1/4)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 4 (*.f64 alpha (+.f64 (+.f64 alpha 2) 2))) (+.f64 alpha 3)))
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 beta (+.f64 beta 2))) (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 2)))))
(/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
Outputs
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
Calls

2 calls:

77.0ms
alpha
37.0ms
beta
Results
ErrorSegmentsBranch
1.65%2alpha
1.07%2beta
Compiler

Compiled 506 to 325 computations (35.8% saved)

bsearch18.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
5108221.3652172955
446899904.55568373
Results
15.0ms112×body256valid
Compiler

Compiled 336 to 252 computations (25% saved)

regimes94.0ms (0.5%)

Counts
33 → 2
Calls
Call 1
Inputs
(/.f64 1/2 alpha)
(/.f64 1 beta)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 beta beta)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (*.f64 beta beta)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 alpha (+.f64 alpha 4)))) (+.f64 alpha 3))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (+.f64 1/2 (*.f64 beta 1/4)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 4 (*.f64 alpha (+.f64 (+.f64 alpha 2) 2))) (+.f64 alpha 3)))
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
Outputs
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
Calls

2 calls:

53.0ms
beta
29.0ms
alpha
Results
ErrorSegmentsBranch
2.45%2alpha
1.11%2beta
Compiler

Compiled 331 to 207 computations (37.5% saved)

bsearch18.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
5108221.3652172955
446899904.55568373
Results
16.0ms112×body256valid
Compiler

Compiled 308 to 231 computations (25% saved)

regimes98.0ms (0.5%)

Counts
32 → 2
Calls
Call 1
Inputs
(/.f64 1/2 alpha)
(/.f64 1 beta)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 beta beta)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (*.f64 beta beta)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 alpha (+.f64 alpha 4)))) (+.f64 alpha 3))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (+.f64 1/2 (*.f64 beta 1/4)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 4 (*.f64 alpha (+.f64 (+.f64 alpha 2) 2))) (+.f64 alpha 3)))
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 6 (*.f64 5 alpha)) (+.f64 (+.f64 alpha beta) 2)))
Outputs
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
Calls

2 calls:

63.0ms
alpha
28.0ms
beta
Results
ErrorSegmentsBranch
2.72%2alpha
1.37%2beta
Compiler

Compiled 314 to 195 computations (37.9% saved)

bsearch14.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
8011295811946581.0
97147609949317000.0
Results
13.0ms96×body256valid
Compiler

Compiled 234 to 172 computations (26.5% saved)

regimes137.0ms (0.7%)

Counts
28 → 2
Calls
Call 1
Inputs
(/.f64 1/2 alpha)
(/.f64 1 beta)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 beta beta)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (*.f64 beta beta)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 alpha (+.f64 alpha 4)))) (+.f64 alpha 3))
Outputs
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 alpha (+.f64 alpha 4)))) (+.f64 alpha 3))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
Calls

2 calls:

103.0ms
alpha
27.0ms
beta
Results
ErrorSegmentsBranch
26.02%7alpha
1.93%2beta
Compiler

Compiled 248 to 149 computations (39.9% saved)

bsearch21.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
0.002557090012491778
5108221.3652172955
Results
19.0ms144×body256valid
Compiler

Compiled 330 to 244 computations (26.1% saved)

regimes122.0ms (0.6%)

Counts
27 → 2
Calls
Call 1
Inputs
(/.f64 1/2 alpha)
(/.f64 1 beta)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 beta beta)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (*.f64 beta beta)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
Outputs
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
Calls

2 calls:

93.0ms
alpha
23.0ms
beta
Results
ErrorSegmentsBranch
26.9%7alpha
2.83%2beta
Compiler

Compiled 233 to 138 computations (40.8% saved)

bsearch21.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
0.002557090012491778
5108221.3652172955
Results
19.0ms144×body256valid
Compiler

Compiled 276 to 208 computations (24.6% saved)

regimes112.0ms (0.5%)

Counts
22 → 2
Calls
Call 1
Inputs
(/.f64 1/2 alpha)
(/.f64 1 beta)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 beta beta)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 1 (/.f64 beta (/.f64 (+.f64 1 alpha) beta)))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (*.f64 beta beta)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
Outputs
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
Calls

2 calls:

85.0ms
alpha
23.0ms
beta
Results
ErrorSegmentsBranch
26.91%7alpha
2.86%2beta
Compiler

Compiled 168 to 97 computations (42.3% saved)

bsearch21.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
0.002557090012491778
5108221.3652172955
Results
19.0ms144×body256valid
Compiler

Compiled 240 to 181 computations (24.6% saved)

regimes49.0ms (0.2%)

Counts
16 → 2
Calls
Call 1
Inputs
(/.f64 1/2 alpha)
(/.f64 1 beta)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 beta beta)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
Outputs
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
Calls

2 calls:

30.0ms
alpha
16.0ms
beta
Results
ErrorSegmentsBranch
31.53%4alpha
2.9%2beta
Compiler

Compiled 108 to 63 computations (41.7% saved)

bsearch21.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
0.002557090012491778
5108221.3652172955
Results
19.0ms144×body256valid
Compiler

Compiled 240 to 181 computations (24.6% saved)

regimes41.0ms (0.2%)

Counts
13 → 2
Calls
Call 1
Inputs
(/.f64 1/2 alpha)
(/.f64 1 beta)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
Outputs
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
Calls

2 calls:

32.0ms
beta
7.0ms
alpha
Results
ErrorSegmentsBranch
44.83%1alpha
37.68%2beta
Compiler

Compiled 81 to 45 computations (44.4% saved)

bsearch60.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
60.0ms
0.002557090012491778
5108221.3652172955
Results
58.0ms144×body256valid
Compiler

Compiled 222 to 163 computations (26.6% saved)

regimes64.0ms (0.3%)

Counts
12 → 3
Calls
Call 1
Inputs
(/.f64 1/2 alpha)
(/.f64 1 beta)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
Outputs
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
Calls

2 calls:

42.0ms
alpha
20.0ms
beta
Results
ErrorSegmentsBranch
45.6%2alpha
38.46%3beta
Compiler

Compiled 74 to 41 computations (44.6% saved)

bsearch37.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.2801755062739003e+153
2.355768937670655e+154
21.0ms
0.002557090012491778
5108221.3652172955
Results
34.0ms256×body256valid
Compiler

Compiled 348 to 247 computations (29% saved)

regimes31.0ms (0.2%)

Counts
10 → 3
Calls
Call 1
Inputs
(/.f64 1/2 alpha)
(/.f64 1 beta)
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
Outputs
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
Calls

2 calls:

18.0ms
beta
11.0ms
alpha
Results
ErrorSegmentsBranch
45.68%2alpha
41.41%3beta
Compiler

Compiled 60 to 35 computations (41.7% saved)

bsearch35.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
4.987828788059919e+155
2.5204811355631813e+156
22.0ms
0.002557090012491778
5108221.3652172955
Results
32.0ms240×body256valid
Compiler

Compiled 300 to 220 computations (26.7% saved)

regimes40.0ms (0.2%)

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

2 calls:

29.0ms
beta
9.0ms
alpha
Results
ErrorSegmentsBranch
45.85%2alpha
48.56%2beta
Compiler

Compiled 46 to 25 computations (45.7% saved)

bsearch21.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
3.5181286414540304e-9
1.8544593908048216e-5
Results
19.0ms128×body256valid
Compiler

Compiled 170 to 116 computations (31.8% saved)

regimes18.0ms (0.1%)

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

2 calls:

12.0ms
alpha
4.0ms
beta
Results
ErrorSegmentsBranch
49.45%2alpha
51.88%1beta
Compiler

Compiled 34 to 20 computations (41.2% saved)

bsearch18.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
3.5181286414540304e-9
1.8544593908048216e-5
Results
16.0ms128×body256valid
Compiler

Compiled 170 to 116 computations (31.8% saved)

regimes38.0ms (0.2%)

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

2 calls:

29.0ms
beta
8.0ms
alpha
Results
ErrorSegmentsBranch
50.22%2alpha
52.66%1beta
Compiler

Compiled 29 to 17 computations (41.4% saved)

bsearch20.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
3.5181286414540304e-9
1.8544593908048216e-5
Results
18.0ms128×body256valid
Compiler

Compiled 170 to 116 computations (31.8% saved)

regimes11.0ms (0.1%)

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

2 calls:

6.0ms
alpha
4.0ms
beta
Results
ErrorSegmentsBranch
52.66%1alpha
52.66%1beta
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes8.0ms (0%)

Accuracy

Total -3.0b remaining (-5%)

Threshold costs -3b (-5%)

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

2 calls:

3.0ms
beta
3.0ms
alpha
Results
ErrorSegmentsBranch
93.87%1alpha
93.87%1beta
Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify24.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01141060
11491060
21621060
31701060
41731060
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))) (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 145000000) (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 45000000) (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 24000000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 85000000000000000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3715469692580659/1125899906842624) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 alpha (+.f64 alpha 4)))) (+.f64 alpha 3)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 7) (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 4165829655317709/1125899906842624) (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 3152519739159347/1125899906842624) (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 2476979795053773/562949953421312) (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 2476979795053773/562949953421312) (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) (if (<=.f64 beta 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 8782019273372467/2251799813685248) (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) (if (<=.f64 beta 2499999999999999958397950557979304286400930687543676340917519036151171043752531386328694692364846854378093470860907762668836268370411434333663775925815214080) (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 alpha 5312662293228351/295147905179352825856) (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha beta) beta))
(if (<=.f64 alpha 5312662293228351/295147905179352825856) (/.f64 (/.f64 1 beta) beta) (/.f64 alpha (*.f64 beta beta)))
(if (<=.f64 alpha 5312662293228351/295147905179352825856) (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 1 (*.f64 beta beta))
(/.f64 1 beta)
(/.f64 1/2 alpha)
Outputs
(/.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))) (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 145000000) (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 145000000) (/.f64 (+.f64 alpha (+.f64 beta 1)) (*.f64 (+.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 (+.f64 beta alpha) 2) (+.f64 beta (+.f64 alpha 3))))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 45000000) (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 45000000) (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 24000000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 24000000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 85000000000000000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3715469692580659/1125899906842624) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 alpha (+.f64 alpha 4)))) (+.f64 alpha 3)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3715469692580659/1125899906842624) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 alpha (+.f64 alpha 4)))) (+.f64 alpha 3)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 7) (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 7) (/.f64 1/2 (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 4165829655317709/1125899906842624) (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 4165829655317709/1125899906842624) (/.f64 1/2 (*.f64 (+.f64 alpha 3) (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 alpha 1) beta) beta))
(if (<=.f64 beta 3152519739159347/1125899906842624) (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 3152519739159347/1125899906842624) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 1/6) (/.f64 (/.f64 (+.f64 alpha 1) beta) beta))
(if (<=.f64 beta 2476979795053773/562949953421312) (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 2476979795053773/562949953421312) (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) beta))
(if (<=.f64 beta 2476979795053773/562949953421312) (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) (if (<=.f64 beta 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 2476979795053773/562949953421312) (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) (if (<=.f64 beta 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (/.f64 (+.f64 alpha 1) (*.f64 beta beta)) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 beta 8782019273372467/2251799813685248) (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) (if (<=.f64 beta 2499999999999999958397950557979304286400930687543676340917519036151171043752531386328694692364846854378093470860907762668836268370411434333663775925815214080) (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha beta) beta)))
(if (<=.f64 alpha 5312662293228351/295147905179352825856) (/.f64 (/.f64 1 beta) beta) (/.f64 (/.f64 alpha beta) beta))
(if (<=.f64 alpha 5312662293228351/295147905179352825856) (/.f64 (/.f64 1 beta) beta) (/.f64 alpha (*.f64 beta beta)))
(if (<=.f64 alpha 5312662293228351/295147905179352825856) (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 1 (*.f64 beta beta))
(/.f64 1 beta)
(/.f64 1/2 alpha)
Compiler

Compiled 428 to 298 computations (30.4% saved)

soundness801.0ms (3.9%)

Algorithm
egg-herbie
Rules
8048×associate-+r+
2246×associate-/l*
1374×*-commutative
1060×distribute-lft-in
808×+-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01679
13875
211775
349473
4261473
5331273
6357573
7402873
8444973
9446273
10469773
11482473
12496773
13526773
14593373
15613173
16615473
17616173
18616873
19617573
20618273
21618973
22619673
23620373
24734073
25734773
26735473
27736173
28736873
29737573
30738273
31738973
32739673
33740373
34741073
35741773
36742473
37743173
38743873
39744573
Stop Event
node limit
Compiler

Compiled 37 to 24 computations (35.1% saved)

end214.0ms (1%)

Remove

(sort alpha beta)

Compiler

Compiled 448 to 291 computations (35% saved)

Profiling

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