Details

Time bar (total: 19.7s)

analyze50.0ms (0.3%)

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

Compiled 44 to 29 computations (34.1% saved)

sample1.6s (8.1%)

Results
1.6s8256×body256valid
Bogosity

preprocess349.0ms (1.8%)

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)

simplify614.0ms (3.1%)

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)

prune6.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New549
Fresh101
Picked000
Done000
Total6410
Error
0.0b
Counts
10 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(/.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)))
3.2b
(/.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))))
10.8b
(/.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)))
2.1b
(/.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))))
Compiler

Compiled 109 to 74 computations (32.1% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
0.0b
(/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))
0.1b
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1))
2.1b
(/.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))))
Compiler

Compiled 87 to 53 computations (39.1% saved)

series21.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite115.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
492×associate-+l+
492×+-commutative
446×add-sqr-sqrt
436×pow1
436×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017142
1422142
26874142
Stop Event
node limit
Counts
4 → 192
Calls
Call 1
Inputs
(/.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 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1))
(/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 beta) (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (*.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (neg.f64 (+.f64 1 beta))) (/.f64 1 (neg.f64 (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 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) 1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 1) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (+.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))) (-.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 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (+.f64 1 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) 1) (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (pow.f64 (+.f64 beta (+.f64 alpha 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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))))))))

simplify240.0ms (1.2%)

Algorithm
egg-herbie
Rules
1708×associate-*r*
1588×associate-*l*
1410×+-commutative
1154×associate-+r+
878×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
095923816
1340923152
Stop Event
node limit
Counts
288 → 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)))
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1
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(/.f64 (+.f64 1 alpha) beta)
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(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 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 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 1)) (*.f64 (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))) (*.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 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 beta 2)) (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 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 1)) (*.f64 (pow.f64 (+.f64 beta 3) 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 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 1)) (*.f64 (pow.f64 (+.f64 beta 3) 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 (+.f64 (*.f64 beta 2) 7)) (+.f64 beta 1)) (pow.f64 (+.f64 beta 3) 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 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) alpha (neg.f64 (*.f64 alpha (*.f64 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 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (*.f64 2 (+.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)))))
(+.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 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 1)) (*.f64 (pow.f64 (+.f64 beta 3) 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 (+.f64 (*.f64 beta 2) 7)) (+.f64 beta 1)) (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 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 1)) (*.f64 (pow.f64 (+.f64 beta 3) 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 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 1)) (*.f64 (pow.f64 (+.f64 beta 3) 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 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 1)) (*.f64 (pow.f64 (+.f64 beta 3) 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 (+.f64 (*.f64 beta 2) 7)) (+.f64 beta 1)) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 4)))))))))
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (fma.f64 -1 (/.f64 (+.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 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (*.f64 2 (+.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 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 4)) (+.f64 (*.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 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 beta 3)) (/.f64 (+.f64 (*.f64 beta 2) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 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 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) alpha (neg.f64 (*.f64 alpha (*.f64 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 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (*.f64 2 (+.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))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(-.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 beta (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3)))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 (*.f64 beta 2) 7))))))
(+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3))) (-.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 (*.f64 beta 2) (+.f64 beta 7)))))))
(-.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 beta (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 beta (-.f64 1 (*.f64 (+.f64 beta (+.f64 (*.f64 beta 2) 7)) (+.f64 beta 1)))) (+.f64 beta (+.f64 (*.f64 beta 2) 7)) (*.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 1))) (pow.f64 alpha 4)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 (*.f64 beta 2) 7))))))
(+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (*.f64 alpha alpha)) (-.f64 (fma.f64 -1 (/.f64 (fma.f64 (+.f64 (*.f64 (+.f64 (*.f64 beta 2) (+.f64 beta 7)) (-.f64 -1 beta)) (+.f64 beta 1)) (+.f64 (*.f64 beta 2) (+.f64 beta 7)) (*.f64 (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 1))) (pow.f64 alpha 4)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3)))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 (*.f64 beta 2) (+.f64 beta 7)))))))
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(/.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 beta (+.f64 2 alpha)) (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 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 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 (-.f64 alpha beta) -2))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 (-.f64 alpha beta) -2)))
(/.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 -2 (-.f64 alpha beta)))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 -2 (-.f64 alpha 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 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.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 2 alpha))) 3) (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))) 3)) (+.f64 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))) (-.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))) (*.f64 alpha (+.f64 beta (+.f64 2 alpha)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 2 alpha))) 3) (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))) 3)) (+.f64 (*.f64 alpha (*.f64 alpha (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (*.f64 alpha (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 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 (-.f64 alpha beta) 2) (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 beta) -2)) (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 -2 (-.f64 alpha beta))) (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(/.f64 (*.f64 (+.f64 (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 (-.f64 alpha beta) 2)))
(*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (-.f64 alpha beta) -2)) (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 -2 (-.f64 alpha beta))) (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 1)
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) 3)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 3) 1/3)
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 3))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)
(exp.f64 (*.f64 2 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) 2))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)
(fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)
(fma.f64 (+.f64 beta (+.f64 alpha 2)) alpha (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2)))
(pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))
0.0b
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3)))
0.1b
(*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2))
10.8b
(/.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)

series13.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
5.0ms
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)))
1.0ms
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)))
1.0ms
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)))
1.0ms
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)))
0.0ms
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)))

rewrite126.0ms (0.6%)

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
018176
1432152
26775152
Stop Event
node limit
Counts
4 → 216
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 alpha (+.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 2)) (/.f64 (sqrt.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 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) 2) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) 2) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 alpha (+.f64 beta (fma.f64 alpha beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 beta (fma.f64 alpha beta 1)) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 alpha beta) (fma.f64 alpha beta 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 beta (fma.f64 alpha beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 beta (fma.f64 alpha beta 1))) (sqrt.f64 (+.f64 beta (fma.f64 alpha beta 1))) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 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 (+.f64 beta (fma.f64 alpha beta 1))) 2) (cbrt.f64 (+.f64 beta (fma.f64 alpha beta 1))) alpha)))) (#(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))))))

simplify168.0ms (0.9%)

Algorithm
egg-herbie
Rules
1530×associate-*r*
1390×associate-*l*
1218×+-commutative
1040×*-commutative
742×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
086323450
1301822824
Stop Event
node limit
Counts
312 → 472
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))))))
(+.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)))
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(+.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 (+.f64 alpha (fma.f64 alpha beta 1))))) 1)
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 (-.f64 alpha beta) (fma.f64 alpha beta 1))) (/.f64 (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 2) (-.f64 (-.f64 alpha beta) (fma.f64 alpha beta 1))))
(*.f64 1 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))))
(*.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) 1)
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))))
(*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) 2) (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))))
(*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 2)) (/.f64 1 (-.f64 (-.f64 alpha beta) (fma.f64 alpha beta 1))))
(*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 3)) (/.f64 1 (fma.f64 alpha alpha (*.f64 (+.f64 beta (fma.f64 alpha beta 1)) (-.f64 (+.f64 beta (fma.f64 alpha beta 1)) alpha)))))
(/.f64 1 (/.f64 (-.f64 (-.f64 alpha beta) (fma.f64 alpha beta 1)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 2))))
(/.f64 1 (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta (fma.f64 alpha beta 1)) (-.f64 (+.f64 beta (fma.f64 alpha beta 1)) alpha))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 3))))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 2)) (-.f64 (-.f64 alpha 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)) (+.f64 (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 2) (-.f64 (*.f64 alpha alpha) (*.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))))
(/.f64 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 2))) (neg.f64 (-.f64 (-.f64 alpha beta) (fma.f64 alpha beta 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 3))) (neg.f64 (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 (+.f64 beta (fma.f64 alpha beta 1)) 2) (*.f64 alpha alpha)) (-.f64 (+.f64 beta (fma.f64 alpha beta 1)) 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 (fma.f64 alpha beta 1) 3) (pow.f64 (+.f64 alpha beta) 3)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (*.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)))))
(pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) 1)
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) 2)
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) 3)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) 2))
(log.f64 (exp.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))))))
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))))
(exp.f64 (log.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) 1))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))))
(fma.f64 1 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(fma.f64 1 (+.f64 beta (fma.f64 alpha beta 1)) alpha)
(fma.f64 1 (+.f64 alpha beta) (fma.f64 alpha beta 1))
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 beta (fma.f64 alpha beta 1)))
(fma.f64 (sqrt.f64 (+.f64 beta (fma.f64 alpha beta 1))) (sqrt.f64 (+.f64 beta (fma.f64 alpha beta 1))) alpha)
(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 (+.f64 beta (fma.f64 alpha beta 1))) 2) (cbrt.f64 (+.f64 beta (fma.f64 alpha beta 1))) alpha)
(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 (+.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 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 (/.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 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 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (+.f64 (*.f64 beta 2) 7)) (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 (*.f64 (*.f64 alpha (neg.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)))))))
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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 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 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) (pow.f64 alpha 2)))
(neg.f64 (/.f64 (fma.f64 -1 beta -1) (*.f64 alpha alpha)))
(/.f64 (*.f64 1 (+.f64 beta 1)) (*.f64 alpha alpha))
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(pow.f64 alpha 2)
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(/.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)))
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(/.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 (fma.f64 alpha beta 1) 3) (pow.f64 (+.f64 alpha beta) 3)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 (pow.f64 (fma.f64 alpha beta 1) 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 (+.f64 beta alpha) 2) (-.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (*.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (-.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))))
(pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) 1)
(+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))
(+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) 2)
(+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))
(+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) 3)
(+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))
(+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) 3) 1/3)
(+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))
(+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) 2))
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) 2))
(log.f64 (exp.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))))
(+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))
(+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))))))
(+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))
(+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) 3))
(+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))
(+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(expm1.f64 (log1p.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))))
(+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))
(+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(exp.f64 (log.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))))
(+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))
(+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) 1))
(+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))
(+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(log1p.f64 (expm1.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))))
(+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))
(+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(fma.f64 1 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(fma.f64 1 (+.f64 beta (fma.f64 alpha beta 1)) alpha)
(fma.f64 1 (+.f64 alpha beta) (fma.f64 alpha beta 1))
(fma.f64 1 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 beta (fma.f64 alpha beta 1)))
(fma.f64 (sqrt.f64 (+.f64 beta (fma.f64 alpha beta 1))) (sqrt.f64 (+.f64 beta (fma.f64 alpha beta 1))) 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 (+.f64 beta (fma.f64 alpha beta 1))) 2) (cbrt.f64 (+.f64 beta (fma.f64 alpha beta 1))) 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))

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
0.0b
(*.f64 (+.f64 beta 1) (+.f64 alpha 1))
2.1b
(/.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))))
2.2b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))
Compiler

Compiled 85 to 53 computations (37.6% saved)

series5.0ms (0%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
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))))
1.0ms
alpha
@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))))
0.0ms
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))))
0.0ms
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))))
0.0ms
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))))

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 → 160
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha 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 beta 1) (+.f64 alpha 1))
Outputs
((#(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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#<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9)) (+.f64 beta (-.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 27 (pow.f64 (+.f64 beta alpha) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 9) (*.f64 (+.f64 beta alpha) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (+.f64 beta 1) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 1) (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) (sqrt.f64 (+.f64 beta (+.f64 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(+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha)) (log1p.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha)) (log1p.f64 (+.f64 beta (+.f64 alpha 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (*.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 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simplify159.0ms (0.8%)

Algorithm
egg-herbie
Rules
1150×+-commutative
1090×associate-*r*
976×associate-/l*
968×associate-*l*
884×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
080619042
1273318694
Stop Event
node limit
Counts
232 → 377
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (+.f64 (/.f64 alpha (+.f64 3 alpha)) (*.f64 beta (-.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)))))))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 alpha (+.f64 3 alpha)) (*.f64 beta (-.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2))))))))
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(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))) 2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))))))
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)))) (/.f64 1 (+.f64 beta (+.f64 alpha 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 (*.f64 (+.f64 beta 1) (neg.f64 (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (neg.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 1) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)))) (+.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 1) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (sqrt.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) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 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 (+.f64 beta 1) (+.f64 1 alpha)) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 1) (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 2) (+.f64 beta (+.f64 alpha 2))) (/.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 2) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (cbrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))))))
(pow.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))) 3) 1/3)
(pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 beta 1)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))) -1)
(neg.f64 (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) (neg.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) 3) (pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))))))
(exp.f64 (-.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha)) (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(exp.f64 (*.f64 (-.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha)) (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))))))
(+.f64 beta (+.f64 1 (+.f64 alpha (*.f64 beta alpha))))
(+.f64 1 (+.f64 beta (+.f64 alpha (*.f64 beta alpha))))
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (+.f64 alpha (*.f64 beta (+.f64 1 alpha))))
(+.f64 (+.f64 beta 1) (+.f64 alpha (*.f64 beta alpha)))
(+.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (*.f64 beta alpha)) 1))
(+.f64 alpha (+.f64 1 (*.f64 (+.f64 1 alpha) beta)))
(+.f64 alpha (+.f64 1 (*.f64 beta (+.f64 1 alpha))))
(+.f64 alpha (+.f64 (*.f64 beta alpha) (+.f64 beta 1)))
(+.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) beta))
(+.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 1 alpha)))
(+.f64 (+.f64 alpha (*.f64 beta alpha)) (+.f64 beta 1))
(+.f64 (*.f64 beta alpha) (+.f64 alpha (+.f64 beta 1)))
(+.f64 (+.f64 beta (+.f64 alpha (*.f64 beta alpha))) 1)
(+.f64 (+.f64 1 (+.f64 alpha (*.f64 beta alpha))) beta)
(+.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 1 alpha))
(+.f64 (*.f64 (+.f64 alpha (*.f64 beta alpha)) 1) (+.f64 beta 1))
(+.f64 (*.f64 beta (+.f64 1 alpha)) (+.f64 1 alpha))
(+.f64 (+.f64 1 (+.f64 beta alpha)) (*.f64 beta alpha))
(+.f64 (+.f64 (+.f64 beta 1) (*.f64 beta alpha)) alpha)
(+.f64 (+.f64 (*.f64 (+.f64 1 alpha) beta) 1) alpha)
(+.f64 (+.f64 (*.f64 (+.f64 1 alpha) beta) alpha) 1)
(+.f64 (+.f64 (*.f64 (+.f64 alpha (*.f64 beta alpha)) 1) beta) 1)
(+.f64 (+.f64 (*.f64 (+.f64 alpha (*.f64 beta alpha)) 1) 1) beta)
(+.f64 (+.f64 (*.f64 beta (+.f64 1 alpha)) 1) alpha)
(+.f64 (+.f64 (*.f64 beta (+.f64 1 alpha)) alpha) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)))) 1)
(-.f64 (+.f64 (+.f64 beta 2) (+.f64 alpha (*.f64 beta alpha))) 1)
(-.f64 (+.f64 (+.f64 alpha (*.f64 beta alpha)) (+.f64 beta 2)) 1)
(-.f64 (+.f64 (+.f64 alpha (*.f64 beta alpha)) (/.f64 (*.f64 beta beta) (+.f64 beta -1))) (/.f64 1 (+.f64 beta -1)))
(-.f64 (+.f64 (*.f64 (+.f64 1 alpha) beta) (exp.f64 (log.f64 (+.f64 alpha 2)))) 1)
(-.f64 (+.f64 (*.f64 (+.f64 1 alpha) beta) (/.f64 (*.f64 alpha alpha) (+.f64 alpha -1))) (/.f64 1 (+.f64 alpha -1)))
(-.f64 (+.f64 (*.f64 (+.f64 alpha (*.f64 beta alpha)) 1) (+.f64 beta 2)) 1)
(-.f64 (+.f64 (*.f64 (+.f64 alpha (*.f64 beta alpha)) 1) (/.f64 (*.f64 beta beta) (+.f64 beta -1))) (/.f64 1 (+.f64 beta -1)))
(-.f64 (+.f64 (*.f64 beta (+.f64 1 alpha)) (exp.f64 (log.f64 (+.f64 alpha 2)))) 1)
(-.f64 (+.f64 (*.f64 beta (+.f64 1 alpha)) (/.f64 (*.f64 alpha alpha) (+.f64 alpha -1))) (/.f64 1 (+.f64 alpha -1)))
(/.f64 (*.f64 (+.f64 beta 1) (fma.f64 alpha alpha -1)) (+.f64 alpha -1))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 (pow.f64 alpha 3))) (fma.f64 alpha alpha (-.f64 1 alpha)))
(/.f64 (*.f64 (+.f64 1 alpha) (fma.f64 beta beta -1)) (+.f64 beta -1))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 1 beta)))
(/.f64 (*.f64 (fma.f64 beta beta -1) (+.f64 1 alpha)) (+.f64 beta -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) (+.f64 1 alpha)) (fma.f64 beta beta (-.f64 1 beta)))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) (+.f64 beta 1)) (+.f64 alpha -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 beta 1)) (fma.f64 alpha alpha (-.f64 1 alpha)))
(/.f64 (-.f64 (*.f64 (+.f64 alpha (*.f64 beta alpha)) (+.f64 alpha (*.f64 beta alpha))) (pow.f64 (+.f64 beta 1) 2)) (-.f64 (+.f64 alpha (*.f64 beta alpha)) (+.f64 beta 1)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 alpha (*.f64 beta alpha)) 3)) (-.f64 (+.f64 (*.f64 (+.f64 alpha (*.f64 beta alpha)) (+.f64 alpha (*.f64 beta alpha))) (pow.f64 (+.f64 beta 1) 2)) (*.f64 (+.f64 alpha (*.f64 beta alpha)) (+.f64 beta 1))))
(/.f64 (*.f64 (fma.f64 beta beta -1) (fma.f64 alpha alpha -1)) (*.f64 (+.f64 beta -1) (+.f64 alpha -1)))
(/.f64 (*.f64 (fma.f64 beta beta -1) (+.f64 1 (pow.f64 alpha 3))) (*.f64 (+.f64 beta -1) (fma.f64 alpha alpha (-.f64 1 alpha))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) (fma.f64 alpha alpha -1)) (*.f64 (fma.f64 beta beta (-.f64 1 beta)) (+.f64 alpha -1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) (+.f64 1 (pow.f64 alpha 3))) (*.f64 (fma.f64 beta beta (-.f64 1 beta)) (fma.f64 alpha alpha (-.f64 1 alpha))))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) (fma.f64 beta beta -1)) (*.f64 (+.f64 alpha -1) (+.f64 beta -1)))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) (+.f64 1 (pow.f64 beta 3))) (*.f64 (+.f64 alpha -1) (fma.f64 beta beta (-.f64 1 beta))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (fma.f64 beta beta -1)) (*.f64 (fma.f64 alpha alpha (-.f64 1 alpha)) (+.f64 beta -1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 1 (pow.f64 beta 3))) (*.f64 (fma.f64 alpha alpha (-.f64 1 alpha)) (fma.f64 beta beta (-.f64 1 beta))))
(pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 1)) (+.f64 1 alpha)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 1 alpha) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (+.f64 beta 1) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))))
(exp.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha)) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))))
(fma.f64 (+.f64 beta 1) alpha (+.f64 beta 1))
(fma.f64 alpha (+.f64 beta 1) (+.f64 beta 1))
Outputs
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(/.f64 (+.f64 1 alpha) (+.f64 alpha 3))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (+.f64 (/.f64 alpha (+.f64 3 alpha)) (*.f64 beta (-.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)))))))
(+.f64 (/.f64 1 (+.f64 alpha 3)) (+.f64 (/.f64 alpha (+.f64 alpha 3)) (*.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 3)) (-.f64 (/.f64 alpha (+.f64 alpha 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 3) 2))))))))
(+.f64 (/.f64 alpha (+.f64 alpha 3)) (+.f64 (/.f64 1 (+.f64 alpha 3)) (*.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 3)) (-.f64 (/.f64 alpha (+.f64 alpha 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 3) 2))))))))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 alpha (+.f64 3 alpha)) (*.f64 beta (-.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2))))))))
(+.f64 (/.f64 1 (+.f64 alpha 3)) (fma.f64 (*.f64 beta beta) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 3) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 3) 2)))) (+.f64 (/.f64 alpha (+.f64 alpha 3)) (*.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 3)) (-.f64 (/.f64 alpha (+.f64 alpha 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 3) 2)))))))))
(+.f64 (/.f64 1 (+.f64 alpha 3)) (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (-.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 3) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 (/.f64 alpha (+.f64 alpha 3)) (*.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 3)) (-.f64 (/.f64 alpha (+.f64 alpha 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 3) 2)))))))))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 4)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 4))))) (+.f64 (/.f64 alpha (+.f64 3 alpha)) (*.f64 beta (-.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)))))))))
(+.f64 (/.f64 1 (+.f64 alpha 3)) (fma.f64 (*.f64 beta beta) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 3) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 3) 2)))) (fma.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 3) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 4)) (/.f64 alpha (pow.f64 (+.f64 alpha 3) 4)))) (+.f64 (/.f64 alpha (+.f64 alpha 3)) (*.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 3)) (-.f64 (/.f64 alpha (+.f64 alpha 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 3) 2))))))))))
(+.f64 (/.f64 1 (+.f64 alpha 3)) (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (-.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 3) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 3) 2))))) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 3)) (-.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 3) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 4)) (/.f64 alpha (pow.f64 (+.f64 alpha 3) 4))))) (+.f64 (/.f64 alpha (+.f64 alpha 3)) (*.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 3)) (-.f64 (/.f64 alpha (+.f64 alpha 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 3) 2))))))))))
(+.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) beta))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
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(-.f64 (fma.f64 (+.f64 1 alpha) beta (/.f64 alpha (/.f64 (+.f64 alpha -1) alpha))) (/.f64 1 (+.f64 alpha -1)))
(/.f64 (*.f64 (+.f64 beta 1) (fma.f64 alpha alpha -1)) (+.f64 alpha -1))
(/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha -1) (fma.f64 alpha alpha -1)))
(/.f64 (fma.f64 alpha alpha -1) (/.f64 (+.f64 alpha -1) (+.f64 1 beta)))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 (pow.f64 alpha 3))) (fma.f64 alpha alpha (-.f64 1 alpha)))
(/.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (fma.f64 alpha alpha (-.f64 1 alpha)) (+.f64 1 beta)))
(/.f64 (+.f64 1 beta) (/.f64 (fma.f64 alpha alpha (-.f64 1 alpha)) (+.f64 1 (pow.f64 alpha 3))))
(/.f64 (*.f64 (+.f64 1 alpha) (fma.f64 beta beta -1)) (+.f64 beta -1))
(/.f64 (fma.f64 beta beta -1) (/.f64 (+.f64 beta -1) (+.f64 1 alpha)))
(/.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta -1) (fma.f64 beta beta -1)))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 1 beta)))
(/.f64 (+.f64 1 alpha) (/.f64 (fma.f64 beta beta (-.f64 1 beta)) (+.f64 1 (pow.f64 beta 3))))
(/.f64 (*.f64 (fma.f64 beta beta -1) (+.f64 1 alpha)) (+.f64 beta -1))
(/.f64 (fma.f64 beta beta -1) (/.f64 (+.f64 beta -1) (+.f64 1 alpha)))
(/.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta -1) (fma.f64 beta beta -1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) (+.f64 1 alpha)) (fma.f64 beta beta (-.f64 1 beta)))
(/.f64 (+.f64 1 alpha) (/.f64 (fma.f64 beta beta (-.f64 1 beta)) (+.f64 1 (pow.f64 beta 3))))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) (+.f64 beta 1)) (+.f64 alpha -1))
(/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha -1) (fma.f64 alpha alpha -1)))
(/.f64 (fma.f64 alpha alpha -1) (/.f64 (+.f64 alpha -1) (+.f64 1 beta)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 beta 1)) (fma.f64 alpha alpha (-.f64 1 alpha)))
(/.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (fma.f64 alpha alpha (-.f64 1 alpha)) (+.f64 1 beta)))
(/.f64 (+.f64 1 beta) (/.f64 (fma.f64 alpha alpha (-.f64 1 alpha)) (+.f64 1 (pow.f64 alpha 3))))
(/.f64 (-.f64 (*.f64 (+.f64 alpha (*.f64 beta alpha)) (+.f64 alpha (*.f64 beta alpha))) (pow.f64 (+.f64 beta 1) 2)) (-.f64 (+.f64 alpha (*.f64 beta alpha)) (+.f64 beta 1)))
(/.f64 (-.f64 (*.f64 (+.f64 alpha (*.f64 alpha beta)) (+.f64 alpha (*.f64 alpha beta))) (pow.f64 (+.f64 1 beta) 2)) (+.f64 alpha (-.f64 (*.f64 alpha beta) (+.f64 1 beta))))
(/.f64 (-.f64 (*.f64 alpha (*.f64 alpha (pow.f64 (+.f64 1 beta) 2))) (pow.f64 (+.f64 1 beta) 2)) (+.f64 alpha (-.f64 (*.f64 alpha beta) (+.f64 1 beta))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 alpha (*.f64 beta alpha)) 3)) (-.f64 (+.f64 (*.f64 (+.f64 alpha (*.f64 beta alpha)) (+.f64 alpha (*.f64 beta alpha))) (pow.f64 (+.f64 beta 1) 2)) (*.f64 (+.f64 alpha (*.f64 beta alpha)) (+.f64 beta 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 beta) 3) (pow.f64 (+.f64 alpha (*.f64 alpha beta)) 3)) (-.f64 (fma.f64 (+.f64 alpha (*.f64 alpha beta)) (+.f64 alpha (*.f64 alpha beta)) (pow.f64 (+.f64 1 beta) 2)) (*.f64 (+.f64 1 beta) (+.f64 alpha (*.f64 alpha beta)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 beta) 3) (pow.f64 (*.f64 alpha (+.f64 1 beta)) 3)) (+.f64 (pow.f64 (+.f64 1 beta) 2) (-.f64 (*.f64 alpha (*.f64 alpha (pow.f64 (+.f64 1 beta) 2))) (*.f64 alpha (pow.f64 (+.f64 1 beta) 2)))))
(/.f64 (*.f64 (fma.f64 beta beta -1) (fma.f64 alpha alpha -1)) (*.f64 (+.f64 beta -1) (+.f64 alpha -1)))
(*.f64 (/.f64 (fma.f64 beta beta -1) (+.f64 beta -1)) (/.f64 (fma.f64 alpha alpha -1) (+.f64 alpha -1)))
(/.f64 (*.f64 (fma.f64 beta beta -1) (+.f64 1 (pow.f64 alpha 3))) (*.f64 (+.f64 beta -1) (fma.f64 alpha alpha (-.f64 1 alpha))))
(/.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (*.f64 (+.f64 beta -1) (fma.f64 alpha alpha (-.f64 1 alpha))) (fma.f64 beta beta -1)))
(/.f64 (fma.f64 beta beta -1) (/.f64 (fma.f64 alpha alpha (-.f64 1 alpha)) (/.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 beta -1))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) (fma.f64 alpha alpha -1)) (*.f64 (fma.f64 beta beta (-.f64 1 beta)) (+.f64 alpha -1)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 beta 3)) (fma.f64 beta beta (-.f64 1 beta))) (/.f64 (fma.f64 alpha alpha -1) (+.f64 alpha -1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) (+.f64 1 (pow.f64 alpha 3))) (*.f64 (fma.f64 beta beta (-.f64 1 beta)) (fma.f64 alpha alpha (-.f64 1 alpha))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 beta 3)) (fma.f64 beta beta (-.f64 1 beta))) (/.f64 (+.f64 1 (pow.f64 alpha 3)) (fma.f64 alpha alpha (-.f64 1 alpha))))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) (fma.f64 beta beta -1)) (*.f64 (+.f64 alpha -1) (+.f64 beta -1)))
(*.f64 (/.f64 (fma.f64 beta beta -1) (+.f64 beta -1)) (/.f64 (fma.f64 alpha alpha -1) (+.f64 alpha -1)))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) (+.f64 1 (pow.f64 beta 3))) (*.f64 (+.f64 alpha -1) (fma.f64 beta beta (-.f64 1 beta))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 beta 3)) (fma.f64 beta beta (-.f64 1 beta))) (/.f64 (fma.f64 alpha alpha -1) (+.f64 alpha -1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (fma.f64 beta beta -1)) (*.f64 (fma.f64 alpha alpha (-.f64 1 alpha)) (+.f64 beta -1)))
(/.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (*.f64 (+.f64 beta -1) (fma.f64 alpha alpha (-.f64 1 alpha))) (fma.f64 beta beta -1)))
(/.f64 (fma.f64 beta beta -1) (/.f64 (fma.f64 alpha alpha (-.f64 1 alpha)) (/.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 beta -1))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 1 (pow.f64 beta 3))) (*.f64 (fma.f64 alpha alpha (-.f64 1 alpha)) (fma.f64 beta beta (-.f64 1 beta))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 beta 3)) (fma.f64 beta beta (-.f64 1 beta))) (/.f64 (+.f64 1 (pow.f64 alpha 3)) (fma.f64 alpha alpha (-.f64 1 alpha))))
(pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 1)
(*.f64 (+.f64 1 alpha) (+.f64 1 beta))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 3)
(*.f64 (+.f64 1 alpha) (+.f64 1 beta))
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 3) 1/3)
(*.f64 (+.f64 1 alpha) (+.f64 1 beta))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 1)) (+.f64 1 alpha)))
(*.f64 (+.f64 1 alpha) (log.f64 (exp.f64 (+.f64 1 beta))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)))))
(*.f64 (+.f64 1 alpha) (+.f64 1 beta))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 3))
(*.f64 (+.f64 1 alpha) (+.f64 1 beta))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 1 alpha) 3)))
(*.f64 (+.f64 1 alpha) (+.f64 1 beta))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (+.f64 beta 1) 3)))
(*.f64 (+.f64 1 alpha) (+.f64 1 beta))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))))
(*.f64 (+.f64 1 alpha) (+.f64 1 beta))
(exp.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha)) 1))
(exp.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))))
(*.f64 (+.f64 1 alpha) (+.f64 1 beta))
(fma.f64 (+.f64 beta 1) alpha (+.f64 beta 1))
(fma.f64 alpha (+.f64 1 beta) (+.f64 1 beta))
(+.f64 beta (fma.f64 (+.f64 1 beta) alpha 1))
(fma.f64 alpha (+.f64 beta 1) (+.f64 beta 1))
(fma.f64 alpha (+.f64 1 beta) (+.f64 1 beta))
(+.f64 beta (fma.f64 (+.f64 1 beta) alpha 1))

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series14.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite110.0ms (0.6%)

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 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
(/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (*.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (/.f64 1 (*.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)) (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (/.f64 1 (+.f64 3 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))) (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) (*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 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(+.f64 alpha beta)) 2) (+.f64 1 beta))) (/.f64 1 (-.f64 -3 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))) (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2)) (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (cbrt.f64 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) 1) (/.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (+.f64 3 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 3 (+.f64 alpha beta))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 3 (+.f64 alpha beta))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))) (/.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify221.0ms (1.1%)

Algorithm
egg-herbie
Rules
1524×associate-*r*
1424×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 → 510
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))))))
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(/.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 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))
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(+.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)))
(-.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)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (*.f64 2 (/.f64 (*.f64 (+.f64 1 alpha) (+.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 -2 (/.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)))))))) (*.f64 2 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 2 alpha) (+.f64 (*.f64 -2 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))))))))) (*.f64 2 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (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 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta))))) 1)
(*.f64 1 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta))))
(*.f64 (+.f64 alpha 1) (*.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (+.f64 alpha 1) (/.f64 1 (*.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)) (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (/.f64 1 (+.f64 3 (+.f64 alpha beta))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta))) 1)
(*.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))) (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) (*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))) 2) (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (+.f64 3 (+.f64 alpha beta))) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)))
(*.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (/.f64 1 (-.f64 -3 (+.f64 alpha beta))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))) (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2)) (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (cbrt.f64 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (/.f64 (+.f64 alpha 1) 1) (/.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (+.f64 3 (+.f64 alpha beta))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (+.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 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 3 (+.f64 alpha beta))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 3 (+.f64 alpha beta))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))))
(*.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))) (/.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2)) (/.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (cbrt.f64 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) 1) (/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) (+.f64 3 (+.f64 alpha beta))))
(*.f64 (/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2)) (/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) (cbrt.f64 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))) (+.f64 3 (+.f64 alpha beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))) 2) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))) (/.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))) 2) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2)) (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))))
(pow.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta))) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta))) 3) 1/3)
(pow.f64 (*.f64 (+.f64 3 (+.f64 alpha beta)) (/.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)) (+.f64 alpha 1))) -1)
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(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))))
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 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 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))))))))
(+.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 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 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (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 (/.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 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 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) 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 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (+.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 (+.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 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 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) 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 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (+.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 (+.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)))))
(+.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 (/.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 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (+.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 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (+.f64 beta 7) (*.f64 beta 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 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 4)) (+.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 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 beta 3)) (/.f64 (+.f64 (+.f64 beta 7) (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (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 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) 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 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (+.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 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (+.f64 beta 7) (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 4)))))))))
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (fma.f64 -1 (*.f64 (/.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 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (+.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 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (*.f64 beta 2) (+.f64 beta 7)) (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 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 4)) (+.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 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 beta 3)) (/.f64 (+.f64 (*.f64 beta 2) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 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 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 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) 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 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (+.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 (+.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))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(-.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 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta (*.f64 alpha alpha))) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3)))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 (+.f64 beta 7) (*.f64 beta 2)))))
(+.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta (*.f64 alpha alpha))) (-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 (*.f64 beta 2) (+.f64 beta 7))))))
(-.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 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta (*.f64 alpha alpha))) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 beta (-.f64 1 (*.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 7) (*.f64 beta 2))))) (+.f64 (+.f64 beta 7) (*.f64 beta 2)) (*.f64 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 (+.f64 beta 7) (*.f64 beta 2)))))
(+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (fma.f64 -1 (/.f64 (fma.f64 (+.f64 beta (-.f64 1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 beta 2) (+.f64 beta 7))))) (+.f64 (*.f64 beta 2) (+.f64 beta 7)) (*.f64 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3)))) (-.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 (*.f64 beta 2) (+.f64 beta 7)))))))
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(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (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)) (/.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 1 (*.f64 beta beta)) (+.f64 (/.f64 alpha (*.f64 beta beta)) (+.f64 (/.f64 (*.f64 1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (*.f64 3 alpha))))) (pow.f64 beta 3)) (/.f64 (*.f64 1 (+.f64 (*.f64 (*.f64 (+.f64 7 (*.f64 3 alpha)) -1) (-.f64 (+.f64 1 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 (*.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 (/.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 (/.f64 (*.f64 1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (*.f64 3 alpha))))) (pow.f64 beta 3)) (+.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 (+.f64 1 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 1 (*.f64 beta beta)))) (+.f64 (/.f64 (+.f64 7 (*.f64 3 alpha)) (/.f64 (pow.f64 beta 5) (+.f64 (*.f64 (*.f64 1 (-.f64 (+.f64 1 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 (+.f64 1 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 (*.f64 2 (*.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 (*.f64 2 (*.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 (*.f64 2 (*.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 (*.f64 2 (*.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 (*.f64 2 (*.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 (+.f64 3 (*.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 (*.f64 2 alpha) (-.f64 3 (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 (fma.f64 2 alpha (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)) (-.f64 3 (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 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))))
(fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 4 (*.f64 beta 2)))))) 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)))))
(fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 4 (*.f64 beta 2)))))) alpha (fma.f64 -1 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 4 (*.f64 beta 2)))))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 4 (*.f64 beta 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)))))
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(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1)))))
(*.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 (/.f64 (cbrt.f64 (+.f64 1 alpha)) (-.f64 -2 (+.f64 beta alpha))) (-.f64 -1 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 beta (+.f64 2 alpha))) (*.f64 (/.f64 (cbrt.f64 (+.f64 1 alpha)) (-.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 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (-.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 -2 (+.f64 beta alpha))) (*.f64 (-.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 (+.f64 beta (+.f64 2 alpha)) (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 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (cbrt.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta 1))) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (cbrt.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 beta (+.f64 2 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 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (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 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (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 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (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 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (*.f64 (+.f64 1 alpha) (+.f64 beta 1))))
(/.f64 1 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (*.f64 (+.f64 1 alpha) (+.f64 beta 1))))
(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)) (neg.f64 (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta 1))))
(/.f64 (neg.f64 (+.f64 1 alpha)) (neg.f64 (/.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 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (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 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (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 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (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 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (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 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (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 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)))) 1)
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(*.f64 1 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)))
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 -1 (-.f64 -1 beta)))
(/.f64 (*.f64 (+.f64 (+.f64 2 alpha) beta) -1) (-.f64 -1 beta))
(/.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) -1) (-.f64 -1 beta))
(*.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 1)
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(*.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 alpha) beta)) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (sqrt.f64 (+.f64 (+.f64 2 alpha) beta))))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.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 (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) 2) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (cbrt.f64 (+.f64 (+.f64 2 alpha) beta))))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (*.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)))
(*.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 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(*.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 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (*.f64 (+.f64 (+.f64 2 alpha) beta) -1) (-.f64 -1 beta))
(/.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) -1) (-.f64 -1 beta))
(*.f64 (-.f64 -2 (+.f64 alpha beta)) (/.f64 1 (-.f64 -1 beta)))
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.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 (+.f64 (+.f64 2 alpha) beta) (hypot.f64 1 (sqrt.f64 beta))) (/.f64 1 (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (hypot.f64 1 (sqrt.f64 beta))) (/.f64 1 (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 1 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (/.f64 (+.f64 (+.f64 2 alpha) beta) (cbrt.f64 (+.f64 beta 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (/.f64 (+.f64 beta (+.f64 2 alpha)) (cbrt.f64 (+.f64 beta 1))))
(*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (fma.f64 beta beta -1)) (+.f64 beta -1))
(*.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (fma.f64 beta beta -1)) (+.f64 beta -1))
(*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (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 (+.f64 (+.f64 2 alpha) beta) (+.f64 1 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 1 beta)))
(*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.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 (sqrt.f64 (+.f64 (+.f64 2 alpha) beta)) (/.f64 (sqrt.f64 (+.f64 (+.f64 2 alpha) beta)) (+.f64 beta 1)))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 1)))
(*.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 (sqrt.f64 (+.f64 (+.f64 2 alpha) beta)) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (/.f64 (sqrt.f64 (+.f64 (+.f64 2 alpha) beta)) (cbrt.f64 (+.f64 beta 1))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (cbrt.f64 (+.f64 beta 1))))
(*.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 (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) 2) (/.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) (+.f64 beta 1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 1)))
(*.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 (+.f64 2 alpha) beta)) 2) (hypot.f64 1 (sqrt.f64 beta))) (/.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) (hypot.f64 1 (sqrt.f64 beta))) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) (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))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) 2) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)))
(pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 1)
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 2)
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 3)
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(pow.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 3) 1/3)
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))) -1)
(/.f64 1 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 beta alpha))))
(neg.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 -1 beta)))
(/.f64 (neg.f64 (+.f64 (+.f64 2 alpha) beta)) (-.f64 -1 beta))
(/.f64 (neg.f64 (+.f64 beta (+.f64 2 alpha))) (-.f64 -1 beta))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)))))
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 3))
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3) (pow.f64 (+.f64 1 beta) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 3) (pow.f64 (+.f64 beta 1) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3) (pow.f64 (+.f64 beta 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(exp.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta)))
(exp.f64 (-.f64 (log.f64 (+.f64 (+.f64 2 alpha) beta)) (log1p.f64 beta)))
(exp.f64 (-.f64 (log.f64 (+.f64 beta (+.f64 2 alpha))) (log1p.f64 beta)))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta)) 1))
(exp.f64 (-.f64 (log.f64 (+.f64 (+.f64 2 alpha) beta)) (log1p.f64 beta)))
(exp.f64 (-.f64 (log.f64 (+.f64 beta (+.f64 2 alpha))) (log1p.f64 beta)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))

eval2.5s (12.6%)

Compiler

Compiled 97205 to 68929 computations (29.1% saved)

prune882.0ms (4.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New1959151974
Fresh000
Picked101
Done303
Total1963151978
Error
0b
Counts
1978 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
17.1b
(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 alpha (*.f64 beta alpha)) (/.f64 (*.f64 beta beta) (+.f64 beta -1))) (/.f64 1 (+.f64 beta -1))) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
4.7b
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
62.7b
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
24.3b
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
0.8b
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
17.0b
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
0.1b
(/.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)))
29.7b
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
11.0b
(/.f64 (+.f64 beta 1) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
62.4b
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
19.6b
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (+.f64 (+.f64 alpha beta) 2)))
27.8b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
32.2b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
2.1b
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 3) alpha)) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
2.1b
(/.f64 (*.f64 (-.f64 -1 beta) (/.f64 (-.f64 -1 alpha) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))))) (+.f64 alpha (+.f64 beta 3)))
Compiler

Compiled 648 to 450 computations (30.6% saved)

localize49.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 119 to 77 computations (35.3% saved)

series10.0ms (0.1%)

Counts
4 → 84
Calls

21 calls:

TimeVariablePointExpression
5.0ms
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
@-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)))
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
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)))
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)))

rewrite93.0ms (0.5%)

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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 (-.f64 -1 beta)) (/.f64 (+.f64 beta alpha) (neg.f64 (-.f64 -1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 beta alpha) (neg.f64 (-.f64 -1 beta))) (/.f64 -2 (-.f64 -1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) alpha) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 beta 2)) (*.f64 (/.f64 -1 (-.f64 -1 beta)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 alpha)) (*.f64 (/.f64 -1 (-.f64 -1 beta)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 alpha (/.f64 -1 (-.f64 -1 beta))) (*.f64 (+.f64 beta 2) (/.f64 -1 (-.f64 -1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 beta 2) (/.f64 -1 (-.f64 -1 beta))) (*.f64 alpha (/.f64 -1 (-.f64 -1 beta))))))) (#(struct:change #<rule egg-rr> 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 -1 beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (-.f64 -1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 -1 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (-.f64 -1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (-.f64 -1 beta))) (sqrt.f64 (/.f64 -1 (-.f64 -1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (-.f64 -1 beta))) (pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -1 beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -1 beta))) 2) (/.f64 -1 (cbrt.f64 (-.f64 -1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 beta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 1 (*.f64 beta beta))) (+.f64 -1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 -1 (pow.f64 beta 3))) (+.f64 1 (*.f64 beta (+.f64 -1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (-.f64 -1 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (-.f64 -1 beta))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -1 beta))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (-.f64 -1 beta)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 beta -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (-.f64 -1 beta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (-.f64 -1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (-.f64 -1 beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (-.f64 -1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (-.f64 -1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 -1 beta)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 -1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (-.f64 -1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1 (-.f64 -1 beta))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (-.f64 -1 beta))))))))

simplify162.0ms (0.8%)

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)))))
(+.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 (/.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)))))))
(/.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 (+.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)))))
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(+.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 (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)))))
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(-.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)))))))))
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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))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
2.2b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite63.0ms (0.3%)

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))))))))

simplify66.0ms (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))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 beta 1) alpha)
11.7b
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
Compiler

Compiled 33 to 21 computations (36.4% saved)

series9.0ms (0%)

Counts
2 → 36
Calls

12 calls:

TimeVariablePointExpression
3.0ms
beta
@0
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
2.0ms
alpha
@0
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
0.0ms
beta
@-inf
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
0.0ms
beta
@inf
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
0.0ms
alpha
@inf
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))

rewrite85.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1346×associate-/r/
1302×distribute-lft-in
1238×associate-/l/
270×add-sqr-sqrt
264×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01144
125744
2384644
Stop Event
node limit
Counts
2 → 125
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) alpha)
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 beta) (log.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 1) alpha)))))))

simplify116.0ms (0.6%)

Algorithm
egg-herbie
Rules
1140×+-commutative
982×associate-+r+
622×associate-*r*
620×associate-*l*
616×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04737879
114677331
270717323
Stop Event
node limit
Counts
161 → 252
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
(+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 alpha (+.f64 3 alpha))) (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 3 alpha) 2)))) beta) (/.f64 1 (*.f64 alpha (+.f64 3 alpha))))
(+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 alpha (+.f64 3 alpha))) (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 3 alpha) 2)))) beta) (/.f64 1 (*.f64 alpha (+.f64 3 alpha)))))
(+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 alpha (+.f64 3 alpha))) (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 3 alpha) 2)))) beta) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 3 alpha) 4))))) (/.f64 1 (*.f64 alpha (+.f64 3 alpha))))))
(/.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 1 alpha)) (+.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta alpha))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 3 alpha) (-.f64 (/.f64 1 alpha) (+.f64 1 (*.f64 3 (/.f64 1 alpha))))) (pow.f64 beta 2))) (/.f64 1 alpha)) (+.f64 (/.f64 1 beta) (*.f64 2 (/.f64 1 (*.f64 beta alpha)))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 3 alpha) 2) (-.f64 (/.f64 1 alpha) (+.f64 1 (*.f64 3 (/.f64 1 alpha))))) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 3 alpha) (-.f64 (/.f64 1 alpha) (+.f64 1 (*.f64 3 (/.f64 1 alpha))))) (pow.f64 beta 2))) (/.f64 1 alpha))) (+.f64 (/.f64 1 beta) (*.f64 2 (/.f64 1 (*.f64 beta alpha)))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 3 alpha) (*.f64 beta alpha))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 3 alpha) alpha)) (/.f64 1 alpha)) (+.f64 3 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 3 alpha) (*.f64 beta alpha))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 3 alpha) alpha)) (/.f64 1 alpha)) (+.f64 3 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 3 alpha) (*.f64 beta alpha))) (+.f64 (/.f64 1 (*.f64 beta alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 3 alpha) alpha)) (/.f64 1 alpha)) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 3)) (/.f64 1 alpha)))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) alpha))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) alpha)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) alpha)) (*.f64 -1 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))))))
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))) alpha) (+.f64 beta 3)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) alpha)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) alpha)) (*.f64 -1 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2)))))))
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))) alpha) (+.f64 beta 3)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 4)) (/.f64 beta (pow.f64 (+.f64 beta 3) 4))) (pow.f64 alpha 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) alpha)) (*.f64 -1 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 4)) (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (pow.f64 alpha 5))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 4)) (/.f64 1 (pow.f64 alpha 2))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 4)) (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (pow.f64 alpha 5))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 4)) (/.f64 1 (pow.f64 alpha 2))))))
(/.f64 1 alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 beta (+.f64 alpha 3)))) (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) alpha)) (fma.f64 (neg.f64 (+.f64 beta 3)) 1 (+.f64 beta 3))))
(+.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 beta (+.f64 alpha 3)))) (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) alpha)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 3))))
(+.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 beta (+.f64 alpha 3)))) (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) alpha)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) (+.f64 beta 3))))
(+.f64 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) alpha)) alpha) (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) alpha)) (neg.f64 (+.f64 beta 3))))
(+.f64 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) alpha)) alpha) (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) alpha)) (+.f64 -3 (*.f64 -1 beta))))
(+.f64 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) alpha)) alpha) (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) alpha)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)))))
(+.f64 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) alpha)) alpha) (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) alpha)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (cbrt.f64 (+.f64 beta 3)))))
(+.f64 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) alpha)) (*.f64 alpha alpha)) (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) alpha)) (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(+.f64 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) alpha)) (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))) (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) alpha)) (*.f64 alpha alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 beta (+.f64 alpha 3)))))) 1)
(*.f64 1 (/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (+.f64 beta 1) (*.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (+.f64 beta 1) (/.f64 1 (*.f64 alpha (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (+.f64 beta 1) alpha) (/.f64 (-.f64 (-.f64 alpha beta) 3) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(*.f64 (/.f64 (+.f64 beta 1) alpha) (/.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 beta 1) (*.f64 alpha (+.f64 beta (+.f64 alpha 3)))) 1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 beta (+.f64 alpha 3))))) (sqrt.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 beta (+.f64 alpha 3))))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) alpha)) (*.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) alpha)) (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) alpha)) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 beta (+.f64 alpha 3))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 beta (+.f64 alpha 3))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 beta (+.f64 alpha 3))))) 2) (cbrt.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 beta (+.f64 alpha 3))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) alpha)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 beta 1) alpha))
(*.f64 (/.f64 (-.f64 -1 beta) alpha) (/.f64 1 (-.f64 -3 (+.f64 beta alpha))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 alpha))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (+.f64 beta 1) alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (+.f64 beta 1) (*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) alpha)))
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) alpha)) (-.f64 (-.f64 alpha beta) 3))
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) alpha)) (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 beta 1) alpha) (-.f64 (-.f64 alpha beta) 3)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (*.f64 (/.f64 (+.f64 beta 1) alpha) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(*.f64 (/.f64 1 (*.f64 alpha (+.f64 beta (+.f64 alpha 3)))) (+.f64 beta 1))
(*.f64 (/.f64 1 (-.f64 -3 (+.f64 beta alpha))) (/.f64 (-.f64 -1 beta) alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 beta (+.f64 alpha 3))) (/.f64 (sqrt.f64 (+.f64 beta 1)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (+.f64 beta (+.f64 alpha 3))) (/.f64 (cbrt.f64 (+.f64 beta 1)) alpha))
(*.f64 (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 1 alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) alpha)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) alpha)) (+.f64 beta (+.f64 alpha 3))) (sqrt.f64 (/.f64 (+.f64 beta 1) alpha)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) alpha)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) alpha)) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) alpha)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (cbrt.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 beta (+.f64 alpha 3))))))
(*.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) alpha)) 2))) (cbrt.f64 (/.f64 (+.f64 beta 1) alpha)))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (neg.f64 (-.f64 (-.f64 alpha beta) 3)))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (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 (/.f64 (+.f64 beta 1) alpha) (-.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha alpha))) (+.f64 beta (-.f64 3 alpha)))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) 9)) (+.f64 beta (-.f64 alpha 3)))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 27 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (-.f64 9 (*.f64 (+.f64 beta alpha) 3))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (*.f64 alpha (+.f64 beta (+.f64 alpha 3)))) (sqrt.f64 (+.f64 beta 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (*.f64 alpha (+.f64 beta (+.f64 alpha 3)))) (cbrt.f64 (+.f64 beta 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) alpha)) 2) (+.f64 beta (+.f64 alpha 3))) (cbrt.f64 (/.f64 (+.f64 beta 1) alpha)))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) 1) (/.f64 (+.f64 beta 1) alpha))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) alpha) (+.f64 beta 1))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (sqrt.f64 alpha)) (/.f64 (+.f64 beta 1) (sqrt.f64 alpha)))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 beta 1) (cbrt.f64 alpha)))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (neg.f64 alpha)) (-.f64 -1 beta))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (/.f64 alpha 1)) (+.f64 beta 1))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (/.f64 alpha (sqrt.f64 (+.f64 beta 1)))) (sqrt.f64 (+.f64 beta 1)))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2))) (cbrt.f64 (+.f64 beta 1)))
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) alpha) (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (-.f64 (-.f64 alpha beta) 3))
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) alpha) (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 beta 1) alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 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 beta 1) alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 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 beta 1) (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2) alpha)) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (cbrt.f64 (-.f64 (-.f64 alpha beta) 3)))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2) alpha)) (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 beta 1) (*.f64 alpha (+.f64 beta (+.f64 alpha 3)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 beta (+.f64 alpha 3))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 beta (+.f64 alpha 3))))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 beta (+.f64 alpha 3)))) 3) 1/3)
(pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 alpha (+.f64 beta 1))) -1)
(neg.f64 (/.f64 (+.f64 beta 1) (*.f64 (-.f64 -3 (+.f64 beta alpha)) alpha)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 beta (+.f64 alpha 3)))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 beta (+.f64 alpha 3))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 beta (+.f64 alpha 3)))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 beta (+.f64 alpha 3)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 beta 1) alpha) 3) (pow.f64 (+.f64 beta (+.f64 alpha 3)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 beta (+.f64 alpha 3))))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 3))))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 3))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 beta (+.f64 alpha 3))))))
(+.f64 (/.f64 1 alpha) (*.f64 (/.f64 1 alpha) beta))
(+.f64 (*.f64 (/.f64 1 alpha) beta) (/.f64 1 alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 1) alpha))) 1)
(*.f64 1 (/.f64 (+.f64 beta 1) alpha))
(*.f64 (+.f64 beta 1) (/.f64 1 alpha))
(*.f64 (/.f64 (+.f64 beta 1) alpha) 1)
(*.f64 (sqrt.f64 (+.f64 beta 1)) (*.f64 (sqrt.f64 (+.f64 beta 1)) (/.f64 1 alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) alpha)) (sqrt.f64 (/.f64 (+.f64 beta 1) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (*.f64 (cbrt.f64 (+.f64 beta 1)) (/.f64 1 alpha)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 beta 1) alpha)))
(*.f64 (/.f64 1 alpha) (+.f64 beta 1))
(*.f64 (-.f64 -1 beta) (/.f64 1 (neg.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta 1) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 beta 1) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (neg.f64 alpha)) (-.f64 -1 beta))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) alpha) (sqrt.f64 (+.f64 beta 1)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) 1) (/.f64 (sqrt.f64 (+.f64 beta 1)) alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 beta 1)) (cbrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 1)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 beta 1)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 beta 1) alpha)))
(*.f64 (/.f64 1 (/.f64 alpha (sqrt.f64 (+.f64 beta 1)))) (sqrt.f64 (+.f64 beta 1)))
(*.f64 (/.f64 1 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2))) (cbrt.f64 (+.f64 beta 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) alpha) (cbrt.f64 (+.f64 beta 1)))
(*.f64 (/.f64 (*.f64 (fma.f64 beta beta -1) (/.f64 1 alpha)) (fma.f64 beta beta -1)) (+.f64 beta 1))
(*.f64 (/.f64 (*.f64 (fma.f64 beta beta -1) (/.f64 1 alpha)) (-.f64 (pow.f64 beta 3) 1)) (+.f64 1 (+.f64 beta (*.f64 beta beta))))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) (/.f64 1 alpha)) (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (-.f64 1 beta) (-.f64 1 beta)))) (+.f64 (fma.f64 beta beta -1) beta))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) (/.f64 1 alpha)) (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (-.f64 1 beta) 3))) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (-.f64 (*.f64 (-.f64 1 beta) (-.f64 1 beta)) (*.f64 (*.f64 beta beta) (-.f64 1 beta)))))
(pow.f64 (/.f64 (+.f64 beta 1) alpha) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) alpha)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 1) alpha) 3) 1/3)
(pow.f64 (/.f64 alpha (+.f64 beta 1)) -1)
(neg.f64 (/.f64 (+.f64 beta 1) (neg.f64 alpha)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) alpha) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta 1) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 1) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) alpha) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 1) alpha)))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 alpha)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 alpha)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 1) alpha)))
Outputs
(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
(/.f64 (/.f64 1 alpha) (+.f64 3 alpha))
(+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 alpha (+.f64 3 alpha))) (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 3 alpha) 2)))) beta) (/.f64 1 (*.f64 alpha (+.f64 3 alpha))))
(fma.f64 (-.f64 (/.f64 (/.f64 1 alpha) (+.f64 3 alpha)) (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2))) beta (/.f64 (/.f64 1 alpha) (+.f64 3 alpha)))
(+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 alpha (+.f64 3 alpha))) (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 3 alpha) 2)))) beta) (/.f64 1 (*.f64 alpha (+.f64 3 alpha)))))
(fma.f64 (*.f64 beta beta) (-.f64 (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2))) (fma.f64 (-.f64 (/.f64 (/.f64 1 alpha) (+.f64 3 alpha)) (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2))) beta (/.f64 (/.f64 1 alpha) (+.f64 3 alpha))))
(fma.f64 (-.f64 (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 3)) (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 beta beta) (fma.f64 (-.f64 (/.f64 (/.f64 1 alpha) (+.f64 3 alpha)) (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2))) beta (/.f64 (/.f64 1 alpha) (+.f64 3 alpha))))
(+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 alpha (+.f64 3 alpha))) (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 3 alpha) 2)))) beta) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 3 alpha) 4))))) (/.f64 1 (*.f64 alpha (+.f64 3 alpha))))))
(fma.f64 (*.f64 beta beta) (-.f64 (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2))) (fma.f64 (-.f64 (/.f64 (/.f64 1 alpha) (+.f64 3 alpha)) (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2))) beta (fma.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (*.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (/.f64 (/.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 4))) (/.f64 (/.f64 1 alpha) (+.f64 3 alpha)))))
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(*.f64 (+.f64 1 beta) (/.f64 (fma.f64 beta beta -1) (*.f64 (fma.f64 beta beta -1) alpha)))
(*.f64 (/.f64 (*.f64 (fma.f64 beta beta -1) (/.f64 1 alpha)) (-.f64 (pow.f64 beta 3) 1)) (+.f64 1 (+.f64 beta (*.f64 beta beta))))
(*.f64 (/.f64 (fma.f64 beta beta -1) (/.f64 (+.f64 (pow.f64 beta 3) -1) (/.f64 1 alpha))) (+.f64 1 (*.f64 (+.f64 1 beta) beta)))
(*.f64 (/.f64 (fma.f64 beta beta -1) (*.f64 (+.f64 (pow.f64 beta 3) -1) alpha)) (+.f64 1 (fma.f64 beta beta beta)))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) (/.f64 1 alpha)) (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (-.f64 1 beta) (-.f64 1 beta)))) (+.f64 (fma.f64 beta beta -1) beta))
(*.f64 (/.f64 (+.f64 1 (pow.f64 beta 3)) (/.f64 (-.f64 (*.f64 beta (pow.f64 beta 3)) (*.f64 (-.f64 1 beta) (-.f64 1 beta))) (/.f64 1 alpha))) (+.f64 beta (fma.f64 beta beta -1)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 beta 3)) (*.f64 (-.f64 (pow.f64 beta 4) (*.f64 (-.f64 1 beta) (-.f64 1 beta))) alpha)) (+.f64 beta (fma.f64 beta beta -1)))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) (/.f64 1 alpha)) (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (-.f64 1 beta) 3))) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (-.f64 (*.f64 (-.f64 1 beta) (-.f64 1 beta)) (*.f64 (*.f64 beta beta) (-.f64 1 beta)))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 beta 3)) (/.f64 (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (-.f64 1 beta) 3)) (/.f64 1 alpha))) (+.f64 (*.f64 beta (pow.f64 beta 3)) (*.f64 (-.f64 1 beta) (-.f64 (-.f64 1 beta) (*.f64 beta beta)))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 beta 3)) (*.f64 (+.f64 (pow.f64 beta 6) (pow.f64 (-.f64 1 beta) 3)) alpha)) (fma.f64 (-.f64 1 beta) (-.f64 1 (fma.f64 beta beta beta)) (pow.f64 beta 4)))
(pow.f64 (/.f64 (+.f64 beta 1) alpha) 1)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) alpha)) 2)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) alpha)) 3)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 1) alpha) 3) 1/3)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(pow.f64 (/.f64 alpha (+.f64 beta 1)) -1)
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(neg.f64 (/.f64 (+.f64 beta 1) (neg.f64 alpha)))
(/.f64 (*.f64 1 (-.f64 -1 beta)) (neg.f64 alpha))
(/.f64 (-.f64 -1 beta) (neg.f64 alpha))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) alpha) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) alpha) 2))
(fabs.f64 (/.f64 (+.f64 1 beta) alpha))
(log.f64 (exp.f64 (/.f64 (+.f64 beta 1) alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 1) alpha))))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) alpha) 3))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 alpha 3)))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 1) alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 alpha)))
(/.f64 (exp.f64 (log1p.f64 beta)) alpha)
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 alpha)) 1))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 alpha)))
(/.f64 (exp.f64 (log1p.f64 beta)) alpha)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 1) alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 alpha (+.f64 beta 2))
0.0b
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))
0.1b
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
2.1b
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha)))
Compiler

Compiled 70 to 47 computations (32.9% saved)

series15.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite116.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
474×+-commutative
420×associate-+l+
416×add-sqr-sqrt
406×associate-+r+
406×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016130
1393130
26182130
Stop Event
node limit
Counts
4 → 198
Calls
Call 1
Inputs
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))
(+.f64 alpha (+.f64 beta 2))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (*.f64 (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (/.f64 1 (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)) (+.f64 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(/.f64 4 (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 beta (exp.f64 (log.f64 (+.f64 alpha 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 beta (/.f64 4 (-.f64 2 alpha))) (/.f64 (*.f64 alpha alpha) (-.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 beta 2) (+.f64 alpha 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 alpha 2) (exp.f64 (log1p.f64 beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 alpha (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (-.f64 (-.f64 alpha beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (-.f64 alpha beta) 2) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (-.f64 alpha beta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 beta (-.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 4) (+.f64 alpha (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (-.f64 4 (*.f64 (+.f64 alpha beta) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (-.f64 (-.f64 alpha beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 alpha (+.f64 beta 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 alpha (+.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 beta 2) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2)) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (+.f64 beta 2)) alpha)))))

simplify150.0ms (0.8%)

Algorithm
egg-herbie
Rules
1372×associate-*r*
1144×associate-*l*
1072×associate-/r*
1070×+-commutative
1010×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
084918854
1291717944
Stop Event
node limit
Counts
294 → 418
Calls
Call 1
Inputs
(/.f64 1/2 (+.f64 beta 2))
(+.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) alpha))
(+.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 4)) (+.f64 beta 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) alpha)))
(+.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 2))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 4)) (+.f64 beta 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 4)) (+.f64 beta 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 4)) (+.f64 beta 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) alpha))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 4)))) (pow.f64 alpha 3))) (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 4) (+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 4)))))) (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 4)))) (pow.f64 alpha 3))) (/.f64 1 alpha))))
(/.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2))) (-.f64 (*.f64 -1 (+.f64 beta 2)) 2)) (pow.f64 alpha 3)) (/.f64 1 alpha)))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2) (-.f64 1 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2)))) (*.f64 -2 (+.f64 beta 2))) (-.f64 (*.f64 -1 (+.f64 beta 2)) 2))) (*.f64 2 (*.f64 (+.f64 beta 2) (-.f64 1 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2)))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2) (-.f64 1 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2)))) (pow.f64 alpha 3)) (/.f64 1 alpha))))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2) (pow.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) (+.f64 2 alpha)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 5)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 5))))) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) (+.f64 2 alpha)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (/.f64 alpha (*.f64 beta (+.f64 2 alpha)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3)) (/.f64 alpha (*.f64 beta (+.f64 2 alpha))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3)) (+.f64 (/.f64 alpha (*.f64 beta (+.f64 2 alpha))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4)))))))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (/.f64 alpha (*.f64 beta (+.f64 2 alpha)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3)) (/.f64 alpha (*.f64 beta (+.f64 2 alpha))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3)) (+.f64 (/.f64 alpha (*.f64 beta (+.f64 2 alpha))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4)))))))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (*.f64 alpha (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 (*.f64 alpha (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 1/4 (/.f64 (+.f64 7 (*.f64 2 beta)) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2)))))
(+.f64 (*.f64 alpha (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 7 (*.f64 2 beta)) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 1/4 (/.f64 (+.f64 7 (*.f64 2 beta)) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (pow.f64 alpha 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 2 (+.f64 5 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (*.f64 1/4 (/.f64 (+.f64 7 (*.f64 2 beta)) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 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 5) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 6 (*.f64 2 beta)) (+.f64 7 (*.f64 2 beta)))) (*.f64 2 (+.f64 beta 3)))) (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 2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 beta)) (+.f64 (*.f64 (+.f64 beta 5) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 6 (*.f64 2 beta)) (+.f64 7 (*.f64 2 beta)))) (*.f64 2 (+.f64 beta 3)))))) (*.f64 -1 (*.f64 (+.f64 6 (*.f64 2 beta)) (+.f64 (*.f64 (+.f64 beta 5) (+.f64 beta 2)) (*.f64 2 (+.f64 beta 3))))))) (pow.f64 alpha 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 5) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 6 (*.f64 2 beta)) (+.f64 7 (*.f64 2 beta)))) (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 beta)) (pow.f64 alpha 3))))))
(/.f64 1 (pow.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))
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(pow.f64 alpha 2)
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(+.f64 beta 2)
(+.f64 beta (+.f64 2 alpha))
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(+.f64 beta (+.f64 2 alpha))
alpha
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
alpha
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 2 alpha)
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
beta
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
beta
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
(+.f64 beta (+.f64 2 alpha))
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(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha 1) (+.f64 alpha 2))) -1)
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(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)))) 1))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))) 1)
(*.f64 1 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 alpha 1) (*.f64 (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 alpha 1) (/.f64 1 (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) 1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)))) (*.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)))) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
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(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 beta 2))
(fma.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2)) alpha)
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 beta 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (+.f64 beta 2)) alpha)
Outputs
(/.f64 1/2 (+.f64 beta 2))
(+.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) alpha))
(+.f64 (/.f64 1/2 (+.f64 beta 2)) (*.f64 (+.f64 (/.f64 1/2 (+.f64 beta 2)) (*.f64 -1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) alpha))
(+.f64 (/.f64 1/2 (+.f64 beta 2)) (*.f64 (+.f64 (/.f64 1/2 (+.f64 beta 2)) (/.f64 (*.f64 -1/4 (+.f64 beta 4)) (pow.f64 (+.f64 beta 2) 2))) alpha))
(+.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 4)) (+.f64 beta 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) alpha)))
(+.f64 (/.f64 1/2 (+.f64 beta 2)) (fma.f64 -1 (*.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/2 (+.f64 beta 2)) (*.f64 -1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (+.f64 beta 2) (+.f64 beta 4))) (/.f64 1/4 (pow.f64 (+.f64 beta 2) 2))) (*.f64 alpha alpha)) (*.f64 (+.f64 (/.f64 1/2 (+.f64 beta 2)) (*.f64 -1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) alpha)))
(+.f64 (/.f64 1/2 (+.f64 beta 2)) (fma.f64 -1 (*.f64 (fma.f64 1/2 (/.f64 (+.f64 beta 4) (/.f64 (+.f64 beta 2) (+.f64 (/.f64 1/2 (+.f64 beta 2)) (/.f64 (*.f64 -1/4 (+.f64 beta 4)) (pow.f64 (+.f64 beta 2) 2))))) (/.f64 1/4 (pow.f64 (+.f64 beta 2) 2))) (*.f64 alpha alpha)) (*.f64 (+.f64 (/.f64 1/2 (+.f64 beta 2)) (/.f64 (*.f64 -1/4 (+.f64 beta 4)) (pow.f64 (+.f64 beta 2) 2))) alpha)))
(+.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 2))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 4)) (+.f64 beta 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 4)) (+.f64 beta 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 4)) (+.f64 beta 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) alpha))))
(+.f64 (/.f64 1/2 (+.f64 beta 2)) (fma.f64 -1 (*.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/2 (+.f64 beta 2)) (*.f64 -1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 2)) (*.f64 -1/2 (/.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/2 (+.f64 beta 2)) (*.f64 -1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (+.f64 beta 2) (+.f64 beta 4))) (/.f64 1/4 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 beta 2) (+.f64 beta 4))))) (pow.f64 alpha 3)) (fma.f64 -1 (*.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/2 (+.f64 beta 2)) (*.f64 -1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (+.f64 beta 2) (+.f64 beta 4))) (/.f64 1/4 (pow.f64 (+.f64 beta 2) 2))) (*.f64 alpha alpha)) (*.f64 (+.f64 (/.f64 1/2 (+.f64 beta 2)) (*.f64 -1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) alpha))))
(+.f64 (/.f64 1/2 (+.f64 beta 2)) (fma.f64 -1 (*.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/2 (+.f64 beta 2)) (/.f64 (*.f64 -1/4 (+.f64 beta 4)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)) (*.f64 -1/2 (/.f64 (fma.f64 1/2 (/.f64 (+.f64 beta 4) (/.f64 (+.f64 beta 2) (+.f64 (/.f64 1/2 (+.f64 beta 2)) (/.f64 (*.f64 -1/4 (+.f64 beta 4)) (pow.f64 (+.f64 beta 2) 2))))) (/.f64 1/4 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 beta 2) (+.f64 beta 4))))) (pow.f64 alpha 3)) (fma.f64 -1 (*.f64 (fma.f64 1/2 (/.f64 (+.f64 beta 4) (/.f64 (+.f64 beta 2) (+.f64 (/.f64 1/2 (+.f64 beta 2)) (/.f64 (*.f64 -1/4 (+.f64 beta 4)) (pow.f64 (+.f64 beta 2) 2))))) (/.f64 1/4 (pow.f64 (+.f64 beta 2) 2))) (*.f64 alpha alpha)) (*.f64 (+.f64 (/.f64 1/2 (+.f64 beta 2)) (/.f64 (*.f64 -1/4 (+.f64 beta 4)) (pow.f64 (+.f64 beta 2) 2))) alpha))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (/.f64 1 alpha))
(fma.f64 -1 (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 4)))) (pow.f64 alpha 3))) (/.f64 1 alpha)))
(fma.f64 -1 (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 2 (+.f64 beta 2) (*.f64 (neg.f64 (+.f64 beta 3)) (+.f64 beta 4))) (pow.f64 alpha 3)) (/.f64 1 alpha)))
(fma.f64 -1 (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 2 (+.f64 beta 2) (*.f64 (+.f64 beta 4) (neg.f64 (+.f64 beta 3)))) (pow.f64 alpha 3)) (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 4) (+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 4)))))) (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 4)))) (pow.f64 alpha 3))) (/.f64 1 alpha))))
(fma.f64 -1 (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (+.f64 beta 4) (fma.f64 2 (+.f64 beta 2) (*.f64 (neg.f64 (+.f64 beta 3)) (+.f64 beta 4)))) (*.f64 -2 (*.f64 (+.f64 beta 2) (+.f64 beta 3)))) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (fma.f64 2 (+.f64 beta 2) (*.f64 (neg.f64 (+.f64 beta 3)) (+.f64 beta 4))) (pow.f64 alpha 3)) (/.f64 1 alpha))))
(fma.f64 -1 (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (+.f64 beta 4) (fma.f64 2 (+.f64 beta 2) (*.f64 (+.f64 beta 4) (neg.f64 (+.f64 beta 3))))) (*.f64 (+.f64 beta 3) (+.f64 (*.f64 beta -2) -4))) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (fma.f64 2 (+.f64 beta 2) (*.f64 (+.f64 beta 4) (neg.f64 (+.f64 beta 3)))) (pow.f64 alpha 3)) (/.f64 1 alpha))))
(/.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2) (pow.f64 alpha 2))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (-.f64 (/.f64 1 alpha) (neg.f64 (/.f64 (fma.f64 -1 (+.f64 beta 2) -2) (*.f64 alpha alpha)))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (-.f64 (/.f64 1 alpha) (/.f64 (neg.f64 (+.f64 (*.f64 beta -1) -4)) (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2))) (-.f64 (*.f64 -1 (+.f64 beta 2)) 2)) (pow.f64 alpha 3)) (/.f64 1 alpha)))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2) (pow.f64 alpha 2))))
(-.f64 (fma.f64 -2 (/.f64 (+.f64 beta 2) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 (fma.f64 -1 (+.f64 beta 2) -2) (/.f64 (pow.f64 alpha 3) (-.f64 1 (neg.f64 (fma.f64 -1 (+.f64 beta 2) -2)))))))) (neg.f64 (/.f64 (fma.f64 -1 (+.f64 beta 2) -2) (*.f64 alpha alpha))))
(-.f64 (fma.f64 -2 (/.f64 (+.f64 beta 2) (pow.f64 alpha 3)) (+.f64 (+.f64 (/.f64 1 alpha) (/.f64 1 (*.f64 alpha alpha))) (/.f64 (-.f64 1 (neg.f64 (+.f64 (*.f64 beta -1) -4))) (/.f64 (pow.f64 alpha 3) (+.f64 (*.f64 beta -1) -4))))) (/.f64 (neg.f64 (+.f64 (*.f64 beta -1) -4)) (*.f64 alpha alpha)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2) (-.f64 1 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2)))) (*.f64 -2 (+.f64 beta 2))) (-.f64 (*.f64 -1 (+.f64 beta 2)) 2))) (*.f64 2 (*.f64 (+.f64 beta 2) (-.f64 1 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2)))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2) (-.f64 1 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2)))) (pow.f64 alpha 3)) (/.f64 1 alpha))))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2) (pow.f64 alpha 2))))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (fma.f64 -1 (+.f64 beta 2) -2) (fma.f64 (fma.f64 -1 (+.f64 beta 2) -2) (-.f64 1 (neg.f64 (fma.f64 -1 (+.f64 beta 2) -2))) (+.f64 (*.f64 -2 beta) -4))) (*.f64 (+.f64 (*.f64 beta 2) 4) (-.f64 1 (neg.f64 (fma.f64 -1 (+.f64 beta 2) -2))))) (pow.f64 alpha 4)) (fma.f64 -2 (/.f64 (+.f64 beta 2) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 (fma.f64 -1 (+.f64 beta 2) -2) (/.f64 (pow.f64 alpha 3) (-.f64 1 (neg.f64 (fma.f64 -1 (+.f64 beta 2) -2))))))))) (neg.f64 (/.f64 (fma.f64 -1 (+.f64 beta 2) -2) (*.f64 alpha alpha))))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (+.f64 (*.f64 beta -1) -4) (fma.f64 (+.f64 (*.f64 beta -1) -4) (-.f64 1 (neg.f64 (+.f64 (*.f64 beta -1) -4))) (+.f64 (*.f64 beta -2) -4))) (*.f64 (+.f64 beta 2) (*.f64 2 (-.f64 1 (neg.f64 (+.f64 (*.f64 beta -1) -4)))))) (pow.f64 alpha 4)) (fma.f64 -2 (/.f64 (+.f64 beta 2) (pow.f64 alpha 3)) (+.f64 (+.f64 (/.f64 1 alpha) (/.f64 1 (*.f64 alpha alpha))) (/.f64 (-.f64 1 (neg.f64 (+.f64 (*.f64 beta -1) -4))) (/.f64 (pow.f64 alpha 3) (+.f64 (*.f64 beta -1) -4)))))) (/.f64 (neg.f64 (+.f64 (*.f64 beta -1) -4)) (*.f64 alpha alpha)))
(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))
(fma.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) (+.f64 2 alpha)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))
(fma.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) (+.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 beta beta) (/.f64 (+.f64 2 alpha) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))))))
(+.f64 (fma.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (/.f64 (+.f64 2 alpha) (*.f64 beta beta))))
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 5)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 5))))) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) (+.f64 2 alpha)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))))
(fma.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) (fma.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 5)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 5)))) (+.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 beta beta) (/.f64 (+.f64 2 alpha) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))))))
(fma.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) (fma.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 5)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 5)))) (+.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (/.f64 (+.f64 2 alpha) (*.f64 beta beta))))))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (/.f64 alpha (*.f64 beta (+.f64 2 alpha)))))
(fma.f64 -1 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 alpha beta) (+.f64 2 alpha))))
(fma.f64 -1 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (/.f64 alpha (*.f64 beta (+.f64 2 alpha)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3)) (/.f64 alpha (*.f64 beta (+.f64 2 alpha))))))
(fma.f64 -1 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 (/.f64 alpha beta) (+.f64 2 alpha)) (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (/.f64 alpha (*.f64 beta (+.f64 2 alpha))))) (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3)) (+.f64 (/.f64 alpha (*.f64 beta (+.f64 2 alpha))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4)))))))
(fma.f64 -1 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (+.f64 (/.f64 (/.f64 alpha beta) (+.f64 2 alpha)) (neg.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 alpha)) (pow.f64 beta 4)))))))
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (/.f64 alpha (*.f64 beta (+.f64 2 alpha))))) (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha)))) (/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 1 alpha)) (pow.f64 beta 4)))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (/.f64 alpha (*.f64 beta (+.f64 2 alpha)))))
(fma.f64 -1 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (/.f64 (/.f64 alpha beta) (+.f64 2 alpha))))
(fma.f64 -1 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (/.f64 alpha (*.f64 beta (+.f64 2 alpha)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3)) (/.f64 alpha (*.f64 beta (+.f64 2 alpha))))))
(fma.f64 -1 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 (/.f64 alpha beta) (+.f64 2 alpha)) (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (/.f64 alpha (*.f64 beta (+.f64 2 alpha))))) (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3)) (+.f64 (/.f64 alpha (*.f64 beta (+.f64 2 alpha))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4)))))))
(fma.f64 -1 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (+.f64 (/.f64 1 (*.f64 beta (+.f64 2 alpha))) (+.f64 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (+.f64 (/.f64 (/.f64 alpha beta) (+.f64 2 alpha)) (neg.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 alpha)) (pow.f64 beta 4)))))))
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alpha
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beta
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(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) 8) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))) (-.f64 alpha (+.f64 beta 2))))
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(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (*.f64 (-.f64 2 alpha) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))) (-.f64 4 (*.f64 alpha alpha))))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))) (/.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 2 alpha)))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 8 (pow.f64 alpha 3))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (+.f64 4 (*.f64 alpha (-.f64 alpha 2)))))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))) (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(/.f64 (*.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 2 alpha) (-.f64 (-.f64 alpha beta) 2)))
(*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (-.f64 alpha beta) -2)) (/.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 2 alpha)))
(*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 alpha (+.f64 beta 2))) (/.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 2 alpha)))
(/.f64 (*.f64 (-.f64 4 (*.f64 alpha alpha)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (-.f64 2 alpha) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (*.f64 (-.f64 2 alpha) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))) (-.f64 4 (*.f64 alpha alpha))))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))) (/.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 2 alpha)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 alpha 3)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 4 (*.f64 alpha (-.f64 alpha 2))) (-.f64 (-.f64 alpha beta) 2)))
(*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (-.f64 alpha beta) -2)) (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) 8) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))) (-.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 alpha 3)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (+.f64 4 (*.f64 alpha (-.f64 alpha 2))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))) (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)) 1)
(+.f64 4 (fma.f64 alpha (+.f64 beta (+.f64 2 alpha)) (*.f64 2 (+.f64 beta alpha))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2))) 2)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2))) 3)
(+.f64 4 (fma.f64 alpha (+.f64 beta (+.f64 2 alpha)) (*.f64 2 (+.f64 beta alpha))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(pow.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)) 3) 1/3)
(+.f64 4 (fma.f64 alpha (+.f64 beta (+.f64 2 alpha)) (*.f64 2 (+.f64 beta alpha))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha 2)))
(+.f64 4 (fma.f64 alpha (+.f64 beta (+.f64 2 alpha)) (*.f64 2 (+.f64 beta alpha))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)))))
(+.f64 4 (fma.f64 alpha (+.f64 beta (+.f64 2 alpha)) (*.f64 2 (+.f64 beta alpha))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)) 3))
(+.f64 4 (fma.f64 alpha (+.f64 beta (+.f64 2 alpha)) (*.f64 2 (+.f64 beta alpha))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3) (pow.f64 (+.f64 alpha 2) 3)))
(+.f64 4 (fma.f64 alpha (+.f64 beta (+.f64 2 alpha)) (*.f64 2 (+.f64 beta alpha))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(+.f64 4 (fma.f64 alpha (+.f64 beta (+.f64 2 alpha)) (*.f64 2 (+.f64 beta alpha))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2))))
(+.f64 4 (fma.f64 alpha (+.f64 beta (+.f64 2 alpha)) (*.f64 2 (+.f64 beta alpha))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(exp.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2))))
(+.f64 4 (fma.f64 alpha (+.f64 beta (+.f64 2 alpha)) (*.f64 2 (+.f64 beta alpha))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2))) 1))
(+.f64 4 (fma.f64 alpha (+.f64 beta (+.f64 2 alpha)) (*.f64 2 (+.f64 beta alpha))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2))))
(+.f64 4 (fma.f64 alpha (+.f64 beta (+.f64 2 alpha)) (*.f64 2 (+.f64 beta alpha))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(fma.f64 2 (+.f64 alpha (+.f64 beta 2)) (*.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(+.f64 4 (fma.f64 alpha (+.f64 beta (+.f64 2 alpha)) (*.f64 2 (+.f64 beta alpha))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(fma.f64 (+.f64 alpha (+.f64 beta 2)) 2 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(+.f64 4 (fma.f64 alpha (+.f64 beta (+.f64 2 alpha)) (*.f64 2 (+.f64 beta alpha))))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(-.f64 (+.f64 alpha 1) (-.f64 1 (+.f64 beta 2)))
(+.f64 beta (+.f64 2 alpha))
(-.f64 (+.f64 beta 3) (-.f64 1 alpha))
(+.f64 beta (+.f64 2 alpha))
(-.f64 (+.f64 alpha (+.f64 beta 3)) 1)
(+.f64 beta (+.f64 2 alpha))
(-.f64 (exp.f64 (log1p.f64 beta)) (-.f64 1 (+.f64 alpha 2)))
(-.f64 (exp.f64 (log1p.f64 beta)) (-.f64 (-.f64 1 alpha) 2))
(-.f64 (exp.f64 (log1p.f64 beta)) (-.f64 -1 alpha))
(-.f64 (exp.f64 (log.f64 (+.f64 alpha 3))) (-.f64 1 beta))
(+.f64 beta (+.f64 2 alpha))
(-.f64 (/.f64 (*.f64 beta beta) (+.f64 beta -2)) (-.f64 (/.f64 4 (+.f64 beta -2)) alpha))
(+.f64 (-.f64 (/.f64 beta (/.f64 (+.f64 beta -2) beta)) (/.f64 4 (+.f64 beta -2))) alpha)
(+.f64 alpha (-.f64 (/.f64 beta (/.f64 (+.f64 beta -2) beta)) (/.f64 4 (+.f64 beta -2))))
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 (-.f64 alpha beta) 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (-.f64 alpha beta) 2)))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (-.f64 alpha beta) -2))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 alpha (+.f64 beta 2)))
(-.f64 (/.f64 4 (-.f64 2 alpha)) (-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 2 alpha)) beta))
(-.f64 (/.f64 4 (-.f64 2 alpha)) (-.f64 (/.f64 alpha (/.f64 (-.f64 2 alpha) alpha)) beta))
(+.f64 beta (-.f64 (/.f64 4 (-.f64 2 alpha)) (/.f64 (*.f64 alpha alpha) (-.f64 2 alpha))))
(-.f64 (+.f64 alpha (/.f64 (*.f64 beta beta) (+.f64 beta -2))) (/.f64 4 (+.f64 beta -2)))
(+.f64 (-.f64 (/.f64 beta (/.f64 (+.f64 beta -2) beta)) (/.f64 4 (+.f64 beta -2))) alpha)
(+.f64 alpha (-.f64 (/.f64 beta (/.f64 (+.f64 beta -2) beta)) (/.f64 4 (+.f64 beta -2))))
(-.f64 (+.f64 beta (exp.f64 (log.f64 (+.f64 alpha 3)))) 1)
(+.f64 beta (+.f64 2 alpha))
(-.f64 (+.f64 beta (/.f64 4 (-.f64 2 alpha))) (/.f64 (*.f64 alpha alpha) (-.f64 2 alpha)))
(-.f64 (/.f64 4 (-.f64 2 alpha)) (-.f64 (/.f64 alpha (/.f64 (-.f64 2 alpha) alpha)) beta))
(+.f64 beta (-.f64 (/.f64 4 (-.f64 2 alpha)) (/.f64 (*.f64 alpha alpha) (-.f64 2 alpha))))
(-.f64 (+.f64 (+.f64 beta 2) (+.f64 alpha 1)) 1)
(+.f64 beta (+.f64 2 alpha))
(-.f64 (+.f64 (+.f64 alpha 2) (exp.f64 (log1p.f64 beta))) 1)
(-.f64 (exp.f64 (log1p.f64 beta)) (-.f64 (-.f64 1 alpha) 2))
(-.f64 (exp.f64 (log1p.f64 beta)) (-.f64 -1 alpha))
(*.f64 1 (+.f64 alpha (+.f64 beta 2)))
(+.f64 beta (+.f64 2 alpha))
(*.f64 (+.f64 alpha (+.f64 beta 2)) 1)
(+.f64 beta (+.f64 2 alpha))
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(+.f64 beta (+.f64 2 alpha))
(*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))
(+.f64 beta (+.f64 2 alpha))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(+.f64 beta (+.f64 2 alpha))
(*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (-.f64 (-.f64 alpha beta) 2)))
(*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (+.f64 (-.f64 alpha beta) -2)))
(*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (-.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(/.f64 1 (/.f64 (-.f64 (-.f64 alpha beta) 2) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))
(*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (+.f64 (-.f64 alpha beta) -2)))
(*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (-.f64 alpha (+.f64 beta 2))))
(/.f64 1 (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (-.f64 alpha beta) 2))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (-.f64 alpha beta) -2))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))
(/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 beta (-.f64 2 alpha)))
(/.f64 (-.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 4) (+.f64 alpha (+.f64 beta -2)))
(/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) -4) (+.f64 alpha (+.f64 beta -2)))
(/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) -4) (+.f64 beta (+.f64 alpha -2)))
(/.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (-.f64 4 (*.f64 (+.f64 alpha beta) 2))))
(/.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (-.f64 4 (*.f64 2 (+.f64 beta alpha)))))
(/.f64 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (-.f64 (-.f64 alpha beta) 2)))
(/.f64 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (+.f64 (-.f64 alpha beta) -2)))
(/.f64 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (-.f64 alpha (+.f64 beta 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(pow.f64 (+.f64 alpha (+.f64 beta 2)) 1)
(+.f64 beta (+.f64 2 alpha))
(pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)
(+.f64 beta (+.f64 2 alpha))
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 3)
(+.f64 beta (+.f64 2 alpha))
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3) 1/3)
(+.f64 beta (+.f64 2 alpha))
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(log.f64 (exp.f64 (+.f64 alpha (+.f64 beta 2))))
(+.f64 beta (+.f64 2 alpha))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (+.f64 beta 2)))))
(+.f64 beta (+.f64 2 alpha))
(cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3))
(+.f64 beta (+.f64 2 alpha))
(expm1.f64 (log.f64 (+.f64 alpha (+.f64 beta 3))))
(expm1.f64 (log.f64 (+.f64 beta (+.f64 alpha 3))))
(exp.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))))
(+.f64 beta (+.f64 2 alpha))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (+.f64 beta 2))) 1))
(+.f64 beta (+.f64 2 alpha))
(log1p.f64 (expm1.f64 (+.f64 alpha (+.f64 beta 2))))
(+.f64 beta (+.f64 2 alpha))
(fma.f64 1 alpha (+.f64 beta 2))
(fma.f64 1 (+.f64 beta 2) alpha)
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 beta 2))
(fma.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2)) alpha)
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 beta 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (+.f64 beta 2)) alpha)

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 89 to 61 computations (31.5% saved)

series42.0ms (0.2%)

Counts
4 → 84
Calls

21 calls:

TimeVariablePointExpression
22.0ms
beta
@-inf
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
6.0ms
alpha
@inf
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
2.0ms
alpha
@0
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
2.0ms
beta
@0
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
2.0ms
alpha
@-inf
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))

rewrite122.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
438×+-commutative
438×add-sqr-sqrt
428×pow1
428×*-un-lft-identity
410×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017172
1415172
26597172
Stop Event
node limit
Counts
4 → 169
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1))))
(/.f64 (+.f64 beta 2) (+.f64 beta 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (/.f64 1 (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (+.f64 3 (+.f64 alpha beta))))))) (#(struct:change #<rule 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simplify181.0ms (0.9%)

Algorithm
egg-herbie
Rules
1412×associate-*r*
1386×associate-*l*
1172×+-commutative
900×associate-*r/
830×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
091523711
1319723531
Stop Event
node limit
Counts
253 → 445
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 (-.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 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) alpha))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) alpha))
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(*.f64 1/2 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
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(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
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(/.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 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))))))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
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(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))))))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2) (+.f64 3 alpha)) (*.f64 -2 (+.f64 2 alpha)))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))))))) (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 (+.f64 3 alpha) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))))) (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))))) (pow.f64 beta 5)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))))))) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))))))) (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2) (+.f64 3 alpha)) (*.f64 -2 (+.f64 2 alpha)))))) (pow.f64 beta 4))) (*.f64 -2 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (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 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))) alpha))
(/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(*.f64 2 (+.f64 2 alpha))
(+.f64 (*.f64 (-.f64 (+.f64 4 alpha) (*.f64 2 (+.f64 2 alpha))) beta) (*.f64 2 (+.f64 2 alpha)))
(+.f64 (*.f64 (-.f64 (+.f64 4 alpha) (*.f64 2 (+.f64 2 alpha))) beta) (+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 2 alpha)) (+.f64 3 alpha)) (pow.f64 beta 2)) (*.f64 2 (+.f64 2 alpha))))
(+.f64 (*.f64 (-.f64 (+.f64 4 alpha) (*.f64 2 (+.f64 2 alpha))) beta) (+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 2 alpha)) (+.f64 3 alpha)) (pow.f64 beta 2)) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 3 alpha) (*.f64 2 (+.f64 2 alpha)))) (*.f64 2 (+.f64 2 alpha)))))
beta
(+.f64 beta (+.f64 3 alpha))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 alpha (*.f64 2 (/.f64 (+.f64 2 alpha) beta))))) (+.f64 (/.f64 alpha beta) (*.f64 3 (/.f64 1 beta))))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 (/.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 2))) (/.f64 alpha (pow.f64 beta 2))))))) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 3 (/.f64 1 beta)) (*.f64 2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))))
beta
(-.f64 (+.f64 beta (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))) 1)
(-.f64 (+.f64 beta (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 -1 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) 1))) beta)) (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) 1)
(-.f64 (+.f64 beta (+.f64 (*.f64 -2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 -1 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) 1))) beta)) (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) 1) (pow.f64 beta 2)))))
(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (/.f64 beta (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 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) alpha) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 (/.f64 beta (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 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) alpha) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (+.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) 5)) (/.f64 1 (pow.f64 (+.f64 beta 2) 5)))) (pow.f64 alpha 3)) (+.f64 (/.f64 beta (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 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) alpha) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (+.f64 beta 2))))) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 beta 1))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (+.f64 beta 2)))))) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 beta 1))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 beta 1))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (+.f64 beta 2))))))) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 -1 (+.f64 beta 1))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 -1 (+.f64 beta 1))) alpha)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 -1 (+.f64 beta 1))) (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 -1 (+.f64 beta 1))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 -1 (+.f64 beta 1))) alpha)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 -1 (+.f64 beta 1))) (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))))
(*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 alpha)) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 4 alpha) (-.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 4 alpha) (+.f64 1 alpha)) (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 alpha)) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 4 alpha) (+.f64 1 alpha)) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 4 alpha) (+.f64 (*.f64 1/4 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 4 alpha) (-.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 alpha)) (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 2 alpha))))) (+.f64 2 alpha)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 4 alpha) (-.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 4 alpha) (+.f64 1 alpha)) (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 alpha)) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))))))
(/.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 4 alpha) (+.f64 1 alpha)) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 4 alpha) (+.f64 1 alpha))) (+.f64 4 alpha)) (*.f64 2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 alpha)) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 4 alpha) (+.f64 1 alpha))) (+.f64 4 alpha)) (*.f64 2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 4 alpha) (+.f64 1 alpha))) (+.f64 2 alpha))) (*.f64 -1 (*.f64 (+.f64 4 alpha) (+.f64 (*.f64 (+.f64 4 alpha) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 alpha)))) (*.f64 2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha))))))) (pow.f64 beta 4))) (/.f64 alpha (pow.f64 beta 2))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 alpha)) (pow.f64 beta 2)))
(/.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 -1 (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 -1 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -2 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3)))))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 -1 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 -1 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) (*.f64 -2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))) (*.f64 2 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 -1 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) (+.f64 2 alpha)))) (pow.f64 beta 4))) (*.f64 -2 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3))))))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) (pow.f64 beta 2))))
2
(+.f64 (*.f64 -1 beta) 2)
(+.f64 (*.f64 -1 beta) (+.f64 2 (pow.f64 beta 2)))
(+.f64 (*.f64 -1 beta) (+.f64 2 (+.f64 (*.f64 -1 (pow.f64 beta 3)) (pow.f64 beta 2))))
1
(+.f64 (/.f64 1 beta) 1)
(-.f64 (+.f64 (/.f64 1 beta) 1) (/.f64 1 (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 1 (pow.f64 beta 3)))) (/.f64 1 (pow.f64 beta 2)))
1
(+.f64 (/.f64 1 beta) 1)
(-.f64 (+.f64 (/.f64 1 beta) 1) (/.f64 1 (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 1 (pow.f64 beta 3)))) (/.f64 1 (pow.f64 beta 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta)))))) 1)
(*.f64 1 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (+.f64 alpha 1) (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (+.f64 alpha 1) (/.f64 1 (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (+.f64 3 (+.f64 alpha beta))))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta)))) 1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta))))) (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta))))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))) (*.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta))))) 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta))))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 -2 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 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.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 beta) (-.f64 -1 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (/.f64 (-.f64 -2 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) (sqrt.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (sqrt.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)))) 2)) (cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))))
(pow.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))) 3) 1/3)
(pow.f64 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 alpha 1) (+.f64 1 beta))) -1)
(neg.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)) (neg.f64 (+.f64 2 (+.f64 alpha beta))))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 alpha 1)) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))))
(exp.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta)))) (log1p.f64 beta))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta)))) (log1p.f64 beta))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)))) 1)
(*.f64 1 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)))
(*.f64 (+.f64 beta 2) (/.f64 -1 (-.f64 -1 beta)))
(*.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (sqrt.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))))
(*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 -1 (-.f64 -1 beta))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) 2) (cbrt.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 (cbrt.f64 (+.f64 beta 2)) (/.f64 -1 (-.f64 -1 beta))))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 beta 2))
(*.f64 (-.f64 -2 beta) (/.f64 1 (-.f64 -1 beta)))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 beta))) (/.f64 (+.f64 beta 2) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (/.f64 (+.f64 beta 2) (cbrt.f64 (+.f64 1 beta))))
(*.f64 (/.f64 (+.f64 beta 2) (fma.f64 beta beta -1)) (+.f64 beta -1))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 1 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 1 beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) 1) (/.f64 (sqrt.f64 (+.f64 beta 2)) (+.f64 1 beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 (+.f64 1 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 2)) (+.f64 1 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (hypot.f64 1 (sqrt.f64 beta))) (/.f64 (cbrt.f64 (+.f64 beta 2)) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (cbrt.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))))
(pow.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) -1)
(neg.f64 (/.f64 (+.f64 beta 2) (-.f64 -1 beta)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (+.f64 1 beta) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))))
(exp.f64 (-.f64 (log.f64 (+.f64 beta 2)) (log1p.f64 beta)))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 beta 2)) (log1p.f64 beta)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -2 beta) (-.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 (-.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 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (/.f64 1 (*.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 (+.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 beta 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) alpha (/.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))) (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 beta 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha (/.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 (+.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 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.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 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (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) 3))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))))) (pow.f64 alpha 2))))))
(+.f64 (/.f64 1 (*.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 (+.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 beta 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) alpha (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (neg.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 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 beta 2) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))))) (*.f64 alpha alpha)))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (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 beta 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (*.f64 (+.f64 (*.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 beta 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.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) 3))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))))) (*.f64 alpha alpha)))))
(+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 5))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (*.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 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (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) 3))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (*.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 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.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 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (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) 3))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))))) (pow.f64 alpha 2)))))))
(fma.f64 (-.f64 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 5))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (neg.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 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 beta 2) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)))))))) (pow.f64 alpha 3) (+.f64 (/.f64 1 (*.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 (+.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 beta 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) alpha (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (neg.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 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 beta 2) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))))) (*.f64 alpha alpha))))))
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(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha)
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) alpha))
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(fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (neg.f64 (fma.f64 -1 (+.f64 2 alpha) -2))))))) (/.f64 (pow.f64 beta 5) (fma.f64 (fma.f64 -1 (+.f64 2 alpha) -2) (+.f64 3 alpha) (+.f64 -4 (*.f64 -2 alpha))))) (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 (*.f64 -1 (+.f64 (*.f64 (+.f64 3 (+.f64 alpha (neg.f64 (fma.f64 -1 (+.f64 2 alpha) -2)))) (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (neg.f64 (fma.f64 -1 (+.f64 2 alpha) -2)))))))) (*.f64 (+.f64 1 alpha) (fma.f64 (fma.f64 -1 (+.f64 2 alpha) -2) (+.f64 3 alpha) (+.f64 -4 (*.f64 -2 alpha)))))) (/.f64 (pow.f64 beta 5) (+.f64 3 (+.f64 alpha (neg.f64 (fma.f64 -1 (+.f64 2 alpha) -2)))))) (+.f64 (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (neg.f64 (fma.f64 -1 (+.f64 2 alpha) -2))))))) (pow.f64 beta 3)) (/.f64 alpha (*.f64 beta beta))) (fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 (*.f64 (+.f64 3 (+.f64 alpha (neg.f64 (fma.f64 -1 (+.f64 2 alpha) -2)))) (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (neg.f64 (fma.f64 -1 (+.f64 2 alpha) -2)))))))) (*.f64 (+.f64 1 alpha) (fma.f64 (fma.f64 -1 (+.f64 2 alpha) -2) (+.f64 3 alpha) (+.f64 -4 (*.f64 -2 alpha)))))) (pow.f64 beta 4)) (*.f64 -2 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 5) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))))))
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(/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1))
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(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 alpha (+.f64 (/.f64 beta (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1)))))
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(/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1))
(/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 1) alpha))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 1) alpha)))
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(/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1))
(/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 1) alpha))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 1) alpha)))
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(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 1) alpha)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)))
(*.f64 2 (+.f64 2 alpha))
(+.f64 4 (*.f64 2 alpha))
(+.f64 (*.f64 (-.f64 (+.f64 4 alpha) (*.f64 2 (+.f64 2 alpha))) beta) (*.f64 2 (+.f64 2 alpha)))
(fma.f64 (+.f64 (+.f64 4 alpha) (+.f64 -4 (*.f64 -2 alpha))) beta (+.f64 4 (*.f64 2 alpha)))
(fma.f64 (+.f64 alpha (-.f64 4 (+.f64 4 (*.f64 2 alpha)))) beta (+.f64 4 (*.f64 2 alpha)))
(+.f64 (*.f64 (-.f64 (+.f64 4 alpha) (*.f64 2 (+.f64 2 alpha))) beta) (+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 2 alpha)) (+.f64 3 alpha)) (pow.f64 beta 2)) (*.f64 2 (+.f64 2 alpha))))
(fma.f64 (+.f64 (+.f64 4 alpha) (+.f64 -4 (*.f64 -2 alpha))) beta (fma.f64 (-.f64 (+.f64 4 (*.f64 2 alpha)) (+.f64 3 alpha)) (*.f64 beta beta) (+.f64 4 (*.f64 2 alpha))))
(fma.f64 (+.f64 alpha (-.f64 4 (+.f64 4 (*.f64 2 alpha)))) beta (fma.f64 (+.f64 4 (-.f64 (*.f64 2 alpha) (+.f64 3 alpha))) (*.f64 beta beta) (+.f64 4 (*.f64 2 alpha))))
(+.f64 (*.f64 (-.f64 (+.f64 4 alpha) (*.f64 2 (+.f64 2 alpha))) beta) (+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 2 alpha)) (+.f64 3 alpha)) (pow.f64 beta 2)) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 3 alpha) (*.f64 2 (+.f64 2 alpha)))) (*.f64 2 (+.f64 2 alpha)))))
(fma.f64 (+.f64 (+.f64 4 alpha) (+.f64 -4 (*.f64 -2 alpha))) beta (fma.f64 (-.f64 (+.f64 4 (*.f64 2 alpha)) (+.f64 3 alpha)) (*.f64 beta beta) (fma.f64 (pow.f64 beta 3) (+.f64 3 (-.f64 alpha (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha)))))
(fma.f64 (+.f64 alpha (-.f64 4 (+.f64 4 (*.f64 2 alpha)))) beta (fma.f64 (+.f64 4 (-.f64 (*.f64 2 alpha) (+.f64 3 alpha))) (*.f64 beta beta) (fma.f64 (pow.f64 beta 3) (+.f64 3 (-.f64 alpha (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha)))))
beta
(+.f64 beta (+.f64 3 alpha))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 alpha (*.f64 2 (/.f64 (+.f64 2 alpha) beta))))) (+.f64 (/.f64 alpha beta) (*.f64 3 (/.f64 1 beta))))
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(+.f64 beta (-.f64 (+.f64 (+.f64 3 alpha) (/.f64 (+.f64 4 (*.f64 2 alpha)) beta)) (+.f64 (/.f64 alpha beta) (/.f64 3 beta))))
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beta
(-.f64 (+.f64 beta (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))) 1)
(+.f64 beta (fma.f64 -1 (fma.f64 -1 (+.f64 2 alpha) -2) -1))
(-.f64 (+.f64 beta (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 -1 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) 1))) beta)) (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) 1)
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(+.f64 (fma.f64 -1 (/.f64 (+.f64 -4 (-.f64 (*.f64 -2 alpha) (neg.f64 (fma.f64 -1 (fma.f64 -1 (+.f64 2 alpha) -2) -1)))) beta) (neg.f64 (fma.f64 -1 (+.f64 2 alpha) -2))) (+.f64 beta -1))
(-.f64 (+.f64 beta (+.f64 (*.f64 -2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 -1 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) 1))) beta)) (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) 1) (pow.f64 beta 2)))))
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(+.f64 (fma.f64 -2 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)) (fma.f64 -1 (/.f64 (+.f64 -4 (-.f64 (*.f64 -2 alpha) (neg.f64 (fma.f64 -1 (fma.f64 -1 (+.f64 2 alpha) -2) -1)))) beta) (neg.f64 (fma.f64 -1 (+.f64 2 alpha) -2)))) (-.f64 beta (+.f64 1 (/.f64 (neg.f64 (fma.f64 -1 (fma.f64 -1 (+.f64 2 alpha) -2) -1)) (*.f64 beta beta)))))
(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
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(fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 4)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))))) (*.f64 alpha alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))))) alpha (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (+.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) 5)) (/.f64 1 (pow.f64 (+.f64 beta 2) 5)))) (pow.f64 alpha 3)) (+.f64 (/.f64 beta (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 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) alpha) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 4)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))))) (*.f64 alpha alpha) (fma.f64 (-.f64 (+.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) 5)) (/.f64 1 (pow.f64 (+.f64 beta 2) 5)))) (pow.f64 alpha 3) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))))) alpha (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
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(/.f64 (+.f64 beta 1) (+.f64 beta 2))
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(pow.f64 (sqrt.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) 2)
(/.f64 (-.f64 -2 beta) (-.f64 -1 beta))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) 3)
(/.f64 (-.f64 -2 beta) (-.f64 -1 beta))
(pow.f64 (pow.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)) 3) 1/3)
(/.f64 (-.f64 -2 beta) (-.f64 -1 beta))
(pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) -1)
(/.f64 1 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)))
(neg.f64 (/.f64 (+.f64 beta 2) (-.f64 -1 beta)))
(*.f64 (+.f64 beta 2) (/.f64 -1 (-.f64 -1 beta)))
(/.f64 (neg.f64 (+.f64 beta 2)) (-.f64 -1 beta))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))))
(/.f64 (-.f64 -2 beta) (-.f64 -1 beta))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)))))
(/.f64 (-.f64 -2 beta) (-.f64 -1 beta))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)) 3))
(/.f64 (-.f64 -2 beta) (-.f64 -1 beta))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (+.f64 1 beta) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (+.f64 beta 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))))
(/.f64 (-.f64 -2 beta) (-.f64 -1 beta))
(exp.f64 (-.f64 (log.f64 (+.f64 beta 2)) (log1p.f64 beta)))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 beta 2)) (log1p.f64 beta)) 1))
(exp.f64 (-.f64 (log.f64 (+.f64 beta 2)) (log1p.f64 beta)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))))
(/.f64 (-.f64 -2 beta) (-.f64 -1 beta))

eval1.6s (8%)

Compiler

Compiled 67567 to 49188 computations (27.2% saved)

prune632.0ms (3.2%)

Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New1580181598
Fresh2810
Picked101
Done314
Total1586271613
Error
0b
Counts
1613 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
17.1b
(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 alpha (*.f64 beta alpha)) (/.f64 (*.f64 beta beta) (+.f64 beta -1))) (/.f64 1 (+.f64 beta -1))) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
4.7b
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
0.8b
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))) (+.f64 alpha (+.f64 beta 3)))
2.8b
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 alpha beta))) (-.f64 -1 beta))) (+.f64 alpha (+.f64 beta 3)))
24.3b
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
24.4b
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
32.7b
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
29.4b
(/.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)))
31.3b
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
29.7b
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
62.6b
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
45.1b
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (+.f64 2 alpha))
62.1b
(/.f64 (/.f64 1 alpha) (+.f64 3 alpha))
17.4b
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))
17.1b
(/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))
11.0b
(/.f64 (+.f64 beta 1) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
19.6b
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (+.f64 (+.f64 alpha beta) 2)))
32.2b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
2.1b
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 3) alpha)) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
2.1b
(/.f64 (*.f64 (-.f64 -1 beta) (/.f64 (-.f64 -1 alpha) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))))) (+.f64 alpha (+.f64 beta 3)))
45.8b
(/.f64 alpha (*.f64 beta beta))
62.1b
(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
34.1b
(/.f64 1 (*.f64 beta beta))
62.0b
(/.f64 1 (*.f64 alpha alpha))
62.4b
(/.f64 1 alpha)
30.3b
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
33.6b
(*.f64 1/2 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
Compiler

Compiled 903 to 642 computations (28.9% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 94 to 64 computations (31.9% saved)

series8.0ms (0%)

Counts
4 → 96
Calls

24 calls:

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

rewrite122.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
500×+-commutative
478×add-sqr-sqrt
468×pow1
468×*-un-lft-identity
448×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018178
1449178
27325178
Stop Event
node limit
Counts
4 → 179
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 beta 2)) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (/.f64 1 (*.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 3))))) (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 beta 2)))) (*.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 beta 2)))) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 3))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 3))))) 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 beta 2)))) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 beta 2)))) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta 2)) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta 2)) (/.f64 (+.f64 -1 (neg.f64 beta)) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (+.f64 (neg.f64 (+.f64 alpha beta)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 beta 2))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 beta 2))) (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) 1) (/.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 beta 2))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 beta 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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (sqrt.f64 (+.f64 alpha 1)) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 alpha (+.f64 beta 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3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 beta 2)))) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta 2)) 1) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta 2)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta 2)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 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simplify218.0ms (1.1%)

Algorithm
egg-herbie
Rules
1558×associate-*r*
1430×associate-*l*
1228×+-commutative
1092×associate-*r/
956×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
098925811
1342125495
Stop Event
node limit
Counts
275 → 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 (-.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 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (/.f64 beta (*.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 (-.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 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.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 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (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) 3))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))))) (pow.f64 alpha 2))))))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) alpha))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) alpha))
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(*.f64 1/2 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
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(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
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(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
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(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
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(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (+.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) 5)) (/.f64 1 (pow.f64 (+.f64 beta 2) 5)))) (pow.f64 alpha 3)) (+.f64 (/.f64 beta (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 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) alpha) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (+.f64 beta 2))))) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 beta 1))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (+.f64 beta 2)))))) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 beta 1))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 beta 1))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (+.f64 beta 2))))))) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 -1 (+.f64 beta 1))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 -1 (+.f64 beta 1))) alpha)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 -1 (+.f64 beta 1))) (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 -1 (+.f64 beta 1))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 -1 (+.f64 beta 1))) alpha)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 -1 (+.f64 beta 1))) (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))))
(*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 alpha)) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 4 alpha) (-.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 4 alpha) (+.f64 1 alpha)) (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 alpha)) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 4 alpha) (+.f64 1 alpha)) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 4 alpha) (+.f64 (*.f64 1/4 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 4 alpha) (-.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 alpha)) (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 2 alpha))))) (+.f64 2 alpha)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 4 alpha) (-.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 4 alpha) (+.f64 1 alpha)) (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 alpha)) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))))))
(/.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 4 alpha) (+.f64 1 alpha)) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 4 alpha) (+.f64 1 alpha))) (+.f64 4 alpha)) (*.f64 2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 alpha)) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 4 alpha) (+.f64 1 alpha))) (+.f64 4 alpha)) (*.f64 2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 4 alpha) (+.f64 1 alpha))) (+.f64 2 alpha))) (*.f64 -1 (*.f64 (+.f64 4 alpha) (+.f64 (*.f64 (+.f64 4 alpha) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 alpha)))) (*.f64 2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha))))))) (pow.f64 beta 4))) (/.f64 alpha (pow.f64 beta 2))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 alpha)) (pow.f64 beta 2)))
(/.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 -1 (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 -1 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -2 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3)))))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 -1 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 -1 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) (*.f64 -2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))) (*.f64 2 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 -1 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) (+.f64 2 alpha)))) (pow.f64 beta 4))) (*.f64 -2 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3))))))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) (pow.f64 beta 2))))
(/.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)))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha)))))
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))))
(+.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 (*.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))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))))
(/.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 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 2 (+.f64 2 alpha))
(+.f64 (*.f64 (-.f64 (+.f64 4 alpha) (*.f64 2 (+.f64 2 alpha))) beta) (*.f64 2 (+.f64 2 alpha)))
(+.f64 (*.f64 (-.f64 (+.f64 4 alpha) (*.f64 2 (+.f64 2 alpha))) beta) (+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 2 alpha)) (+.f64 3 alpha)) (pow.f64 beta 2)) (*.f64 2 (+.f64 2 alpha))))
(+.f64 (*.f64 (-.f64 (+.f64 4 alpha) (*.f64 2 (+.f64 2 alpha))) beta) (+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 2 alpha)) (+.f64 3 alpha)) (pow.f64 beta 2)) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 3 alpha) (*.f64 2 (+.f64 2 alpha)))) (*.f64 2 (+.f64 2 alpha)))))
beta
(+.f64 beta (+.f64 3 alpha))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 alpha (*.f64 2 (/.f64 (+.f64 2 alpha) beta))))) (+.f64 (/.f64 alpha beta) (*.f64 3 (/.f64 1 beta))))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 (/.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 2))) (/.f64 alpha (pow.f64 beta 2))))))) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 3 (/.f64 1 beta)) (*.f64 2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))))
beta
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(pow.f64 (/.f64 (+.f64 beta 2) (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))) -1)
(neg.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 2) (neg.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 beta 2))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 alpha 1)) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 beta 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 beta 2)))))
(exp.f64 (+.f64 (log1p.f64 alpha) (log.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 beta 2)))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 alpha) (log.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 beta 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))) 1)
(*.f64 1 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))
(*.f64 (+.f64 1 beta) (/.f64 1 (+.f64 2 (+.f64 alpha beta))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) 1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (sqrt.f64 (+.f64 1 beta)) (*.f64 (sqrt.f64 (+.f64 1 beta)) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))) 2) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (*.f64 (cbrt.f64 (+.f64 1 beta)) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (+.f64 1 beta))
(*.f64 (+.f64 -1 (neg.f64 beta)) (/.f64 1 (neg.f64 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 (+.f64 1 beta) (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (/.f64 (+.f64 1 beta) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (+.f64 beta -2) alpha))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 2 (+.f64 alpha beta))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 beta)) (+.f64 2 (+.f64 alpha beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (cbrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))))
(pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)) -1)
(neg.f64 (/.f64 (+.f64 1 beta) (neg.f64 (+.f64 2 (+.f64 alpha beta)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 beta) 3) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 2 (+.f64 alpha beta)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 2 (+.f64 alpha beta)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))))
(+.f64 (*.f64 (/.f64 (+.f64 beta 2) (+.f64 1 beta)) beta) (*.f64 (/.f64 (+.f64 beta 2) (+.f64 1 beta)) (+.f64 alpha 2)))
(+.f64 (*.f64 (/.f64 (+.f64 beta 2) (+.f64 1 beta)) (+.f64 alpha 2)) (*.f64 (/.f64 (+.f64 beta 2) (+.f64 1 beta)) beta))
(+.f64 (*.f64 (/.f64 (+.f64 beta 2) (+.f64 1 beta)) (+.f64 beta 2)) (*.f64 (/.f64 (+.f64 beta 2) (+.f64 1 beta)) alpha))
(+.f64 (*.f64 (/.f64 (+.f64 beta 2) (+.f64 1 beta)) alpha) (*.f64 (/.f64 (+.f64 beta 2) (+.f64 1 beta)) (+.f64 beta 2)))
(+.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (+.f64 1 beta))) (*.f64 (+.f64 alpha 2) (/.f64 (+.f64 beta 2) (+.f64 1 beta))))
(+.f64 (*.f64 (+.f64 alpha 2) (/.f64 (+.f64 beta 2) (+.f64 1 beta))) (*.f64 beta (/.f64 (+.f64 beta 2) (+.f64 1 beta))))
(+.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 2) (+.f64 1 beta))) (*.f64 alpha (/.f64 (+.f64 beta 2) (+.f64 1 beta))))
(+.f64 (*.f64 alpha (/.f64 (+.f64 beta 2) (+.f64 1 beta))) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 2) (+.f64 1 beta))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))))) 1)
(*.f64 1 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))
(*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 beta 2) (+.f64 1 beta)))
(*.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))) 1)
(*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))) (sqrt.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 (cbrt.f64 (+.f64 beta 2)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))) 2) (cbrt.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 1 beta)) (+.f64 2 (+.f64 alpha beta)))
(*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)) (+.f64 beta 2))
(*.f64 (+.f64 (neg.f64 beta) -2) (/.f64 1 (/.f64 (+.f64 -1 (neg.f64 beta)) (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (*.f64 (/.f64 (+.f64 beta 2) (+.f64 1 beta)) 1) (+.f64 2 (+.f64 alpha beta)))
(*.f64 (*.f64 (/.f64 (+.f64 beta 2) (+.f64 1 beta)) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (+.f64 2 (+.f64 alpha beta))))
(*.f64 (*.f64 (/.f64 (+.f64 beta 2) (+.f64 1 beta)) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (cbrt.f64 (+.f64 2 (+.f64 alpha beta))))
(*.f64 (/.f64 1 (+.f64 1 beta)) (/.f64 (+.f64 beta 2) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))) (/.f64 (+.f64 beta 2) (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))) 2)) (/.f64 (+.f64 beta 2) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))))
(*.f64 (/.f64 (+.f64 beta 2) 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 -1 (neg.f64 beta))) (neg.f64 (+.f64 2 (+.f64 alpha beta))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) 1) (/.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) (+.f64 1 beta)) (/.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 2)) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))) 2)) (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 1 beta)) (/.f64 (cbrt.f64 (+.f64 beta 2)) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))) (/.f64 (cbrt.f64 (+.f64 beta 2)) (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))) 2)) (cbrt.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))))
(pow.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))) 3) 1/3)
(pow.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 beta 2)) -1)
(neg.f64 (/.f64 (+.f64 beta 2) (/.f64 (+.f64 -1 (neg.f64 beta)) (+.f64 2 (+.f64 alpha beta)))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 2)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))))
(exp.f64 (log.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))))
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 (-.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 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (/.f64 1 (*.f64 (+.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 beta 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha (/.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))) (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 beta 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) alpha (/.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 (+.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 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.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 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (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) 3))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))))) (pow.f64 alpha 2))))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (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 beta 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) alpha (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (*.f64 (+.f64 (*.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 beta 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.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) 3))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))))) (*.f64 alpha alpha)))))
(+.f64 (/.f64 1 (*.f64 (+.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 beta 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) alpha (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (*.f64 alpha (*.f64 alpha (+.f64 (*.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 beta 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.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) 3))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))))))))))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) alpha))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha)
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(/.f64 (+.f64 1 alpha) beta)
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(/.f64 (+.f64 1 alpha) beta)
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1
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1
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(+.f64 (+.f64 (+.f64 (/.f64 1 beta) 1) (*.f64 -1 (+.f64 (/.f64 (+.f64 2 alpha) beta) (/.f64 (+.f64 2 alpha) (/.f64 (*.f64 beta beta) (+.f64 1 (+.f64 -2 (neg.f64 alpha)))))))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 3) (+.f64 1 (+.f64 -2 (neg.f64 alpha))))))
(+.f64 (+.f64 (/.f64 (-.f64 -2 alpha) beta) (+.f64 1 (/.f64 (-.f64 -2 alpha) (/.f64 (*.f64 beta beta) (-.f64 -1 alpha))))) (+.f64 (/.f64 1 beta) (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2)))))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 beta 2) (*.f64 alpha alpha)))) (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (/.f64 beta (+.f64 beta 2))))
(+.f64 (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 beta 2) (*.f64 alpha alpha)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 2)) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) alpha)) (/.f64 beta (+.f64 beta 2))))))
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(+.f64 (fma.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (fma.f64 -1 (*.f64 alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (/.f64 beta (+.f64 beta 2)))) (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 beta 2) (*.f64 alpha alpha)))))
(/.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) (fma.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 1)) (*.f64 alpha alpha)) (/.f64 1 alpha)))
(+.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) (/.f64 (-.f64 -1 beta) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))))
(+.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 beta alpha) (+.f64 (fma.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 1)) (*.f64 alpha alpha)) (/.f64 1 alpha)) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (+.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) (/.f64 (-.f64 -1 beta) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2)))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))))
(+.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)))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 3) (+.f64 beta 1)) (pow.f64 alpha 4)) (+.f64 (/.f64 beta alpha) (+.f64 (fma.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 1)) (*.f64 alpha alpha)) (/.f64 1 alpha)) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))))))
(+.f64 (/.f64 beta alpha) (+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 (-.f64 -1 beta) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))))) (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 3)))))
(/.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) (fma.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 1)) (*.f64 alpha alpha)) (/.f64 1 alpha)))
(+.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) (/.f64 (-.f64 -1 beta) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))))
(+.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 beta alpha) (+.f64 (fma.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 1)) (*.f64 alpha alpha)) (/.f64 1 alpha)) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (+.f64 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)) (/.f64 (-.f64 -1 beta) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2)))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))))
(+.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)))))
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 3) (+.f64 beta 1)) (pow.f64 alpha 4)) (+.f64 (/.f64 beta alpha) (+.f64 (fma.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 1)) (*.f64 alpha alpha)) (/.f64 1 alpha)) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))))))
(+.f64 (/.f64 beta alpha) (+.f64 (+.f64 (/.f64 1 alpha) (+.f64 (/.f64 (-.f64 -1 beta) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))))) (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 3)))))
(*.f64 2 (+.f64 2 alpha))
(+.f64 4 (*.f64 2 alpha))
(+.f64 (*.f64 (-.f64 (+.f64 4 alpha) (*.f64 2 (+.f64 2 alpha))) beta) (*.f64 2 (+.f64 2 alpha)))
(fma.f64 (+.f64 (+.f64 4 alpha) (+.f64 -4 (*.f64 -2 alpha))) beta (+.f64 4 (*.f64 2 alpha)))
(fma.f64 (+.f64 4 (+.f64 alpha (+.f64 -4 (*.f64 -2 alpha)))) beta (+.f64 4 (*.f64 2 alpha)))
(+.f64 (*.f64 (-.f64 (+.f64 4 alpha) (*.f64 2 (+.f64 2 alpha))) beta) (+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 2 alpha)) (+.f64 3 alpha)) (pow.f64 beta 2)) (*.f64 2 (+.f64 2 alpha))))
(fma.f64 (+.f64 (+.f64 4 alpha) (+.f64 -4 (*.f64 -2 alpha))) beta (fma.f64 (fma.f64 2 (+.f64 2 alpha) (neg.f64 (+.f64 3 alpha))) (*.f64 beta beta) (+.f64 4 (*.f64 2 alpha))))
(fma.f64 (+.f64 4 (+.f64 alpha (+.f64 -4 (*.f64 -2 alpha)))) beta (fma.f64 (fma.f64 2 (+.f64 2 alpha) (neg.f64 (+.f64 3 alpha))) (*.f64 beta beta) (+.f64 4 (*.f64 2 alpha))))
(+.f64 (*.f64 (-.f64 (+.f64 4 alpha) (*.f64 2 (+.f64 2 alpha))) beta) (+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 2 alpha)) (+.f64 3 alpha)) (pow.f64 beta 2)) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 3 alpha) (*.f64 2 (+.f64 2 alpha)))) (*.f64 2 (+.f64 2 alpha)))))
(fma.f64 (+.f64 (+.f64 4 alpha) (+.f64 -4 (*.f64 -2 alpha))) beta (fma.f64 (fma.f64 2 (+.f64 2 alpha) (neg.f64 (+.f64 3 alpha))) (*.f64 beta beta) (fma.f64 (pow.f64 beta 3) (+.f64 (+.f64 3 alpha) (+.f64 -4 (*.f64 -2 alpha))) (+.f64 4 (*.f64 2 alpha)))))
(fma.f64 (+.f64 4 (+.f64 alpha (+.f64 -4 (*.f64 -2 alpha)))) beta (fma.f64 (fma.f64 2 (+.f64 2 alpha) (neg.f64 (+.f64 3 alpha))) (*.f64 beta beta) (fma.f64 (pow.f64 beta 3) (+.f64 3 (+.f64 alpha (+.f64 -4 (*.f64 -2 alpha)))) (+.f64 4 (*.f64 2 alpha)))))
beta
(+.f64 beta (+.f64 3 alpha))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 alpha (*.f64 2 (/.f64 (+.f64 2 alpha) beta))))) (+.f64 (/.f64 alpha beta) (*.f64 3 (/.f64 1 beta))))
(+.f64 beta (-.f64 (+.f64 (+.f64 3 alpha) (*.f64 2 (/.f64 (+.f64 2 alpha) beta))) (+.f64 (/.f64 alpha beta) (/.f64 3 beta))))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 (/.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 2))) (/.f64 alpha (pow.f64 beta 2))))))) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 3 (/.f64 1 beta)) (*.f64 2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))))
(-.f64 (+.f64 (+.f64 beta 3) (fma.f64 2 (/.f64 (+.f64 2 alpha) beta) (+.f64 alpha (+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 3 (*.f64 beta beta)))))) (+.f64 (+.f64 (/.f64 alpha beta) (/.f64 3 beta)) (*.f64 2 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)))))
(+.f64 beta (+.f64 3 (-.f64 (fma.f64 2 (/.f64 (+.f64 2 alpha) beta) (+.f64 (/.f64 3 (*.f64 beta beta)) (+.f64 (/.f64 alpha (*.f64 beta beta)) alpha))) (+.f64 (+.f64 (/.f64 alpha beta) (/.f64 3 beta)) (*.f64 2 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)))))))
beta
(-.f64 (+.f64 beta (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))) 1)
(+.f64 beta (fma.f64 -1 (fma.f64 -1 (+.f64 2 alpha) -2) -1))
(+.f64 beta (fma.f64 -1 (+.f64 (-.f64 -2 alpha) -2) -1))
(-.f64 (+.f64 beta (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 -1 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) 1))) beta)) (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) 1)
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(+.f64 (fma.f64 -1 (/.f64 (-.f64 (+.f64 -4 (*.f64 -2 alpha)) (neg.f64 (fma.f64 -1 (+.f64 (-.f64 -2 alpha) -2) -1))) beta) (neg.f64 (+.f64 (-.f64 -2 alpha) -2))) (+.f64 beta -1))
(-.f64 (+.f64 beta (+.f64 (*.f64 -2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 -1 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) 1))) beta)) (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) 1) (pow.f64 beta 2)))))
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(+.f64 (fma.f64 -2 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)) (fma.f64 -1 (/.f64 (-.f64 (+.f64 -4 (*.f64 -2 alpha)) (neg.f64 (fma.f64 -1 (+.f64 (-.f64 -2 alpha) -2) -1))) beta) (neg.f64 (+.f64 (-.f64 -2 alpha) -2)))) (-.f64 beta (+.f64 1 (/.f64 (neg.f64 (fma.f64 -1 (+.f64 (-.f64 -2 alpha) -2) -1)) (*.f64 beta beta)))))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (*.f64 alpha (+.f64 (/.f64 beta (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1)))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
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(+.f64 (*.f64 alpha (+.f64 (/.f64 beta (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1)))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (*.f64 alpha (+.f64 (/.f64 beta (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1)))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1))
(*.f64 alpha (/.f64 (+.f64 beta 2) (+.f64 beta 1)))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1))
(*.f64 alpha (/.f64 (+.f64 beta 2) (+.f64 beta 1)))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 3)))))) 1)
(/.f64 (+.f64 1 alpha) (*.f64 (*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 3 alpha))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 beta (+.f64 3 alpha)))))
(*.f64 1 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (+.f64 1 alpha) (*.f64 (*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 3 alpha))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 beta (+.f64 3 alpha)))))
(*.f64 (+.f64 alpha 1) (*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 beta 2)) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta 2))))
(*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta 2))))
(*.f64 (+.f64 alpha 1) (/.f64 1 (*.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (+.f64 1 alpha) (*.f64 (*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 3 alpha))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 beta (+.f64 3 alpha)))))
(*.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
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(/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))
(+.f64 (*.f64 (/.f64 (+.f64 beta 2) (+.f64 1 beta)) beta) (*.f64 (/.f64 (+.f64 beta 2) (+.f64 1 beta)) (+.f64 alpha 2)))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(+.f64 (*.f64 (/.f64 (+.f64 beta 2) (+.f64 1 beta)) (+.f64 alpha 2)) (*.f64 (/.f64 (+.f64 beta 2) (+.f64 1 beta)) beta))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(+.f64 (*.f64 (/.f64 (+.f64 beta 2) (+.f64 1 beta)) (+.f64 beta 2)) (*.f64 (/.f64 (+.f64 beta 2) (+.f64 1 beta)) alpha))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(+.f64 (*.f64 (/.f64 (+.f64 beta 2) (+.f64 1 beta)) alpha) (*.f64 (/.f64 (+.f64 beta 2) (+.f64 1 beta)) (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(+.f64 (*.f64 beta (/.f64 (+.f64 beta 2) (+.f64 1 beta))) (*.f64 (+.f64 alpha 2) (/.f64 (+.f64 beta 2) (+.f64 1 beta))))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(+.f64 (*.f64 (+.f64 alpha 2) (/.f64 (+.f64 beta 2) (+.f64 1 beta))) (*.f64 beta (/.f64 (+.f64 beta 2) (+.f64 1 beta))))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(+.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 2) (+.f64 1 beta))) (*.f64 alpha (/.f64 (+.f64 beta 2) (+.f64 1 beta))))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(+.f64 (*.f64 alpha (/.f64 (+.f64 beta 2) (+.f64 1 beta))) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 2) (+.f64 1 beta))))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))))) 1)
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(*.f64 1 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 beta 2) (+.f64 1 beta)))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(*.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))) 1)
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(*.f64 (sqrt.f64 (+.f64 beta 2)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2))) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 beta 1)))
(*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))) (sqrt.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 (cbrt.f64 (+.f64 beta 2)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (+.f64 beta 2))) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 beta 1)))
(*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)) (*.f64 (cbrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))
(*.f64 (cbrt.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))) 2))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))) 2) (cbrt.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 1 beta)) (+.f64 2 (+.f64 alpha beta)))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)) (+.f64 beta 2))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(*.f64 (+.f64 (neg.f64 beta) -2) (/.f64 1 (/.f64 (+.f64 -1 (neg.f64 beta)) (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (+.f64 -2 (neg.f64 beta)) (*.f64 (/.f64 1 (-.f64 -1 beta)) (+.f64 2 (+.f64 beta alpha))))
(*.f64 (-.f64 -2 beta) (*.f64 (/.f64 1 (-.f64 -1 beta)) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (*.f64 (/.f64 (+.f64 beta 2) (+.f64 1 beta)) 1) (+.f64 2 (+.f64 alpha beta)))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(*.f64 (*.f64 (/.f64 (+.f64 beta 2) (+.f64 1 beta)) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (+.f64 2 (+.f64 alpha beta))))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (*.f64 (sqrt.f64 (+.f64 2 (+.f64 beta alpha))) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (*.f64 (/.f64 (+.f64 beta 2) (+.f64 1 beta)) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (cbrt.f64 (+.f64 2 (+.f64 alpha beta))))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2) (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) (*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (/.f64 1 (+.f64 1 beta)) (/.f64 (+.f64 beta 2) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))) (/.f64 (+.f64 beta 2) (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))))) (/.f64 (+.f64 beta 2) (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))) (/.f64 (+.f64 beta 2) (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))) 2)) (/.f64 (+.f64 beta 2) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha)))) 2)) (/.f64 (+.f64 beta 2) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))) 2)) (/.f64 (+.f64 beta 2) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))))
(*.f64 (/.f64 (+.f64 beta 2) 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 -1 (neg.f64 beta))) (neg.f64 (+.f64 2 (+.f64 alpha beta))))
(*.f64 (+.f64 -2 (neg.f64 (+.f64 beta alpha))) (/.f64 (+.f64 beta 2) (-.f64 -1 beta)))
(*.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 (+.f64 beta 2) (-.f64 -1 beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) 1) (/.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) (+.f64 1 beta)) (/.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2))) (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 beta 1)))
(*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)) (*.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 2)) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 (/.f64 (cbrt.f64 (+.f64 beta 2)) (+.f64 beta 1)) (+.f64 2 (+.f64 beta alpha))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (*.f64 (/.f64 (cbrt.f64 (+.f64 beta 2)) (+.f64 beta 1)) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 2)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))) 2)) (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha)))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha)))) 2))
(/.f64 (*.f64 (sqrt.f64 (+.f64 beta 2)) (/.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 1 beta)) (/.f64 (cbrt.f64 (+.f64 beta 2)) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 1)) (*.f64 (/.f64 (cbrt.f64 (+.f64 beta 2)) 1) (+.f64 2 (+.f64 beta alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 1)) (*.f64 (/.f64 (cbrt.f64 (+.f64 beta 2)) 1) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))) (/.f64 (cbrt.f64 (+.f64 beta 2)) (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))))) (/.f64 (cbrt.f64 (+.f64 beta 2)) (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))) (/.f64 (cbrt.f64 (+.f64 beta 2)) (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))) 2)) (cbrt.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 beta (+.f64 2 alpha))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha)))) 2))
(*.f64 (cbrt.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))) 2)))
(pow.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))) 1)
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))) 2)
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))) 3)
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))) 3) 1/3)
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(pow.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 beta 2)) -1)
(/.f64 1 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))))
(/.f64 1 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))))
(neg.f64 (/.f64 (+.f64 beta 2) (/.f64 (+.f64 -1 (neg.f64 beta)) (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (+.f64 -2 (neg.f64 (+.f64 beta alpha))) (/.f64 (+.f64 beta 2) (-.f64 -1 beta)))
(*.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 (+.f64 beta 2) (-.f64 -1 beta)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 beta (+.f64 2 alpha))) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 2)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))))
(*.f64 (/.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 beta 1)) (log.f64 (exp.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)) (log.f64 (exp.f64 (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))))))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))) 3))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(exp.f64 (log.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))) 1))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))))
(*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiled 20 to 12 computations (40% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite67.0ms (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
0832
117232
2241832
Stop Event
node limit
Counts
2 → 70
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(/.f64 (+.f64 1 beta) alpha)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 beta) (*.f64 (/.f64 1 alpha) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 beta) (/.f64 1 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) alpha) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) alpha) (/.f64 (sqrt.f64 (+.f64 1 beta)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) alpha)) (*.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) alpha)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha))) 2) (cbrt.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (/.f64 (+.f64 1 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (neg.f64 beta)) alpha) (/.f64 1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) 1) (/.f64 (/.f64 1 alpha) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (sqrt.f64 alpha)) (/.f64 (/.f64 1 alpha) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (/.f64 1 alpha) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (/.f64 (+.f64 1 beta) alpha) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (/.f64 (+.f64 1 beta) alpha) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) alpha) (/.f64 (cbrt.f64 (+.f64 1 beta)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) alpha)) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) alpha)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) alpha)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) alpha)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 alpha (/.f64 alpha (+.f64 1 beta))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 1 beta) alpha) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 alpha alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 beta) alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 beta) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 beta)) (*.f64 (sqrt.f64 (+.f64 1 beta)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) alpha)) (sqrt.f64 (/.f64 (+.f64 1 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (*.f64 (cbrt.f64 (+.f64 1 beta)) (/.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (+.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 beta)) (/.f64 1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 1 beta) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 1 beta) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (cbrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 beta)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 1 beta)) (sqrt.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 beta) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 beta) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 alpha (+.f64 1 beta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 beta) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 beta) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 beta) (log.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) alpha)))))))

simplify54.0ms (0.3%)

Algorithm
egg-herbie
Rules
1390×times-frac
1064×unswap-sqr
960×associate-/r*
866×distribute-lft-in
846×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01712598
14322522
220302246
Stop Event
node limit
Counts
118 → 102
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 alpha 2))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2)))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2)))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2)))
(/.f64 beta (pow.f64 alpha 2))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2)))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2)))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2)))
(/.f64 beta (pow.f64 alpha 2))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2)))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2)))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2)))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 1 alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 beta alpha)
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(+.f64 (/.f64 beta alpha) (/.f64 1 alpha))
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha)))) 1)
(*.f64 1 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha)))
(*.f64 (+.f64 1 beta) (*.f64 (/.f64 1 alpha) (/.f64 1 alpha)))
(*.f64 (+.f64 1 beta) (/.f64 1 (*.f64 alpha alpha)))
(*.f64 (/.f64 (+.f64 1 beta) alpha) (/.f64 1 alpha))
(*.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha)) 1)
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) alpha) (/.f64 (sqrt.f64 (+.f64 1 beta)) alpha))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) alpha)) (*.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) alpha)) (/.f64 1 alpha)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha))) 2) (cbrt.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) (/.f64 1 alpha)))
(*.f64 (/.f64 1 alpha) (/.f64 (+.f64 1 beta) alpha))
(*.f64 (/.f64 (+.f64 -1 (neg.f64 beta)) alpha) (/.f64 1 (neg.f64 alpha)))
(*.f64 (/.f64 (+.f64 1 beta) 1) (/.f64 (/.f64 1 alpha) alpha))
(*.f64 (/.f64 (+.f64 1 beta) (sqrt.f64 alpha)) (/.f64 (/.f64 1 alpha) (sqrt.f64 alpha)))
(*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (/.f64 1 alpha) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (/.f64 (+.f64 1 beta) alpha) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (/.f64 (+.f64 1 beta) alpha) (cbrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) alpha) (/.f64 (cbrt.f64 (+.f64 1 beta)) alpha))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) alpha)) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) alpha)) alpha))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) alpha)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) alpha)) (cbrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha))))
(pow.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha)) 1)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) alpha) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha)) 3) 1/3)
(pow.f64 (*.f64 alpha (/.f64 alpha (+.f64 1 beta))) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 1 beta) alpha) (neg.f64 alpha)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha)) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 alpha alpha))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 alpha alpha))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 beta) alpha))) 1)
(*.f64 1 (/.f64 (+.f64 1 beta) alpha))
(*.f64 (+.f64 1 beta) (/.f64 1 alpha))
(*.f64 (/.f64 (+.f64 1 beta) alpha) 1)
(*.f64 (sqrt.f64 (+.f64 1 beta)) (*.f64 (sqrt.f64 (+.f64 1 beta)) (/.f64 1 alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) alpha)) (sqrt.f64 (/.f64 (+.f64 1 beta) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (*.f64 (cbrt.f64 (+.f64 1 beta)) (/.f64 1 alpha)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) 2) (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)))
(*.f64 (/.f64 1 alpha) (+.f64 1 beta))
(*.f64 (+.f64 -1 (neg.f64 beta)) (/.f64 1 (neg.f64 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 1 beta) (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (+.f64 1 beta) (cbrt.f64 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (pow.f64 (cbrt.f64 alpha) 2)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (cbrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 beta)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (sqrt.f64 alpha)) (/.f64 (cbrt.f64 (+.f64 1 beta)) (sqrt.f64 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)))
(pow.f64 (/.f64 (+.f64 1 beta) alpha) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) alpha)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) alpha)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 beta) alpha) 3) 1/3)
(pow.f64 (/.f64 alpha (+.f64 1 beta)) -1)
(neg.f64 (/.f64 (+.f64 1 beta) (neg.f64 alpha)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) alpha) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 beta) alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 beta) alpha))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) alpha) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) alpha)))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 alpha)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 alpha)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) alpha)))
Outputs
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2)))
(+.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1 (*.f64 alpha alpha)))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2)))
(+.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1 (*.f64 alpha alpha)))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2)))
(+.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1 (*.f64 alpha alpha)))
(/.f64 beta (pow.f64 alpha 2))
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(/.f64 (+.f64 1 beta) alpha)
(neg.f64 (/.f64 (+.f64 1 beta) (neg.f64 alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) alpha) 2))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(log.f64 (exp.f64 (/.f64 (+.f64 1 beta) alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 beta) alpha))))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) alpha) 3))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 alpha)))
(/.f64 (exp.f64 (log1p.f64 beta)) alpha)
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 alpha)) 1))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 alpha)))
(/.f64 (exp.f64 (log1p.f64 beta)) alpha)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 beta alpha))
(/.f64 (+.f64 1 beta) alpha)

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 2 alpha) (+.f64 3 alpha))
1.0b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
Compiler

Compiled 47 to 35 computations (25.5% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite88.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1672×associate-/l*
1460×distribute-lft-in
1128×associate-/r/
920×associate-/l/
260×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01150
125550
2363350
Stop Event
node limit
Counts
2 → 180
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(*.f64 (+.f64 2 alpha) (+.f64 3 alpha))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 8 (pow.f64 alpha 3)) (-.f64 9 (*.f64 alpha alpha)))) (*.f64 (+.f64 4 (*.f64 alpha (-.f64 alpha 2))) (-.f64 3 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (*.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (*.f64 (-.f64 9 (*.f64 alpha alpha)) (-.f64 4 (*.f64 alpha alpha)))) (*.f64 (-.f64 3 alpha) (-.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (*.f64 (-.f64 9 (*.f64 alpha alpha)) (+.f64 8 (pow.f64 alpha 3)))) (*.f64 (-.f64 3 alpha) (+.f64 4 (*.f64 alpha (-.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 27 (pow.f64 alpha 3)) (-.f64 4 (*.f64 alpha alpha)))) (*.f64 (+.f64 9 (*.f64 alpha (-.f64 alpha 3))) 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 alpha 2) 3 (*.f64 alpha (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (+.f64 alpha 2) (*.f64 alpha (+.f64 alpha 2)))))))

simplify118.0ms (0.6%)

Algorithm
egg-herbie
Rules
1006×+-commutative
772×distribute-lft-in
754×associate-+l+
744×*-commutative
718×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05089770
116387872
270837872
Stop Event
node limit
Counts
204 → 292
Calls
Call 1
Inputs
1/6
(+.f64 1/6 (*.f64 1/36 alpha))
(+.f64 1/6 (+.f64 (*.f64 1/36 alpha) (*.f64 -11/216 (pow.f64 alpha 2))))
(+.f64 (*.f64 49/1296 (pow.f64 alpha 3)) (+.f64 1/6 (+.f64 (*.f64 1/36 alpha) (*.f64 -11/216 (pow.f64 alpha 2)))))
(/.f64 1 alpha)
(-.f64 (/.f64 1 alpha) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 14 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 14 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (*.f64 46 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 1 alpha)
(-.f64 (/.f64 1 alpha) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 14 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 14 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (*.f64 46 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
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)
(+.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)))
(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 (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (*.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) alpha))
(+.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) alpha) (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(+.f64 (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (-.f64 9 (*.f64 alpha alpha)) (+.f64 alpha 2))) 3) (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (-.f64 9 (*.f64 alpha alpha)) (+.f64 alpha 2))) (neg.f64 alpha)))
(+.f64 (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (-.f64 9 (*.f64 alpha alpha)) (+.f64 alpha 2))) 3) (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (-.f64 9 (*.f64 alpha alpha)) (+.f64 alpha 2))) (*.f64 -1 alpha)))
(+.f64 (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (-.f64 9 (*.f64 alpha alpha)) (+.f64 alpha 2))) 3) (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (-.f64 9 (*.f64 alpha alpha)) (+.f64 alpha 2))) (*.f64 (neg.f64 (sqrt.f64 alpha)) (sqrt.f64 alpha))))
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(/.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 (-.f64 4 (*.f64 alpha alpha)) (-.f64 9 (*.f64 alpha alpha))) (*.f64 (-.f64 2 alpha) (-.f64 3 alpha)))
(/.f64 (*.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 9 (*.f64 alpha alpha))) (*.f64 1 (*.f64 (-.f64 2 alpha) (-.f64 3 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 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 8 (pow.f64 alpha 3)) (-.f64 9 (*.f64 alpha alpha))) (*.f64 (+.f64 4 (*.f64 alpha (-.f64 alpha 2))) (-.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 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 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 9 (*.f64 alpha alpha)) (-.f64 4 (*.f64 alpha alpha))) (*.f64 (-.f64 3 alpha) (-.f64 2 alpha)))
(/.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 3)) (+.f64 alpha 2)))
(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
1/6
(+.f64 1/6 (*.f64 1/36 alpha))
(fma.f64 1/36 alpha 1/6)
(+.f64 1/6 (+.f64 (*.f64 1/36 alpha) (*.f64 -11/216 (pow.f64 alpha 2))))
(+.f64 1/6 (fma.f64 1/36 alpha (*.f64 -11/216 (*.f64 alpha alpha))))
(+.f64 (fma.f64 1/36 alpha 1/6) (*.f64 alpha (*.f64 alpha -11/216)))
(+.f64 (*.f64 49/1296 (pow.f64 alpha 3)) (+.f64 1/6 (+.f64 (*.f64 1/36 alpha) (*.f64 -11/216 (pow.f64 alpha 2)))))
(fma.f64 49/1296 (pow.f64 alpha 3) (+.f64 1/6 (fma.f64 1/36 alpha (*.f64 -11/216 (*.f64 alpha alpha)))))
(fma.f64 49/1296 (pow.f64 alpha 3) (+.f64 (fma.f64 1/36 alpha 1/6) (*.f64 alpha (*.f64 alpha -11/216))))
(/.f64 1 alpha)
(-.f64 (/.f64 1 alpha) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 1 alpha) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 -4 (*.f64 alpha alpha)))
(-.f64 (+.f64 (*.f64 14 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 14 (pow.f64 alpha 3)) (-.f64 (/.f64 1 alpha) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 14 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 14 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (*.f64 46 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (/.f64 14 (pow.f64 alpha 3)) (-.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 46 (pow.f64 alpha 4)))))
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 14 (pow.f64 alpha 3)) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 46 (pow.f64 alpha 4)))))
(/.f64 1 alpha)
(-.f64 (/.f64 1 alpha) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 1 alpha) (/.f64 4 (*.f64 alpha alpha)))
(+.f64 (/.f64 1 alpha) (/.f64 -4 (*.f64 alpha alpha)))
(-.f64 (+.f64 (*.f64 14 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 14 (pow.f64 alpha 3)) (-.f64 (/.f64 1 alpha) (/.f64 4 (*.f64 alpha alpha))))
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 14 (pow.f64 alpha 3)) (/.f64 -4 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 14 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (*.f64 46 (/.f64 1 (pow.f64 alpha 4))) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (/.f64 14 (pow.f64 alpha 3)) (-.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 46 (pow.f64 alpha 4)))))
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 14 (pow.f64 alpha 3)) (+.f64 (/.f64 4 (*.f64 alpha alpha)) (/.f64 46 (pow.f64 alpha 4)))))
6
(+.f64 6 (*.f64 5 alpha))
(+.f64 6 (*.f64 alpha 5))
(fma.f64 alpha 5 6)
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(fma.f64 alpha (+.f64 alpha 5) 6)
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(fma.f64 alpha (+.f64 alpha 5) 6)
(pow.f64 alpha 2)
(*.f64 alpha alpha)
(+.f64 (*.f64 5 alpha) (pow.f64 alpha 2))
(fma.f64 5 alpha (*.f64 alpha alpha))
(*.f64 alpha (+.f64 alpha 5))
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(fma.f64 alpha (+.f64 alpha 5) 6)
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(fma.f64 alpha (+.f64 alpha 5) 6)
(pow.f64 alpha 2)
(*.f64 alpha alpha)
(+.f64 (*.f64 5 alpha) (pow.f64 alpha 2))
(fma.f64 5 alpha (*.f64 alpha alpha))
(*.f64 alpha (+.f64 alpha 5))
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(fma.f64 alpha (+.f64 alpha 5) 6)
(+.f64 6 (+.f64 (*.f64 5 alpha) (pow.f64 alpha 2)))
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(fma.f64 alpha (+.f64 alpha 5) 6)
(+.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (*.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) alpha))
(fma.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)) alpha (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)))
(/.f64 (+.f64 alpha 1) (fma.f64 alpha (+.f64 alpha 5) 6))
(+.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) alpha) (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(fma.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)) alpha (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)))
(/.f64 (+.f64 alpha 1) (fma.f64 alpha (+.f64 alpha 5) 6))
(+.f64 (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (-.f64 9 (*.f64 alpha alpha)) (+.f64 alpha 2))) 3) (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (-.f64 9 (*.f64 alpha alpha)) (+.f64 alpha 2))) (neg.f64 alpha)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (-.f64 9 (*.f64 alpha alpha))) (-.f64 3 alpha))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 (-.f64 3 alpha) (-.f64 9 (*.f64 alpha alpha))))
(+.f64 (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (-.f64 9 (*.f64 alpha alpha)) (+.f64 alpha 2))) 3) (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (-.f64 9 (*.f64 alpha alpha)) (+.f64 alpha 2))) (*.f64 -1 alpha)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (-.f64 9 (*.f64 alpha alpha))) (-.f64 3 alpha))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 (-.f64 3 alpha) (-.f64 9 (*.f64 alpha alpha))))
(+.f64 (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (-.f64 9 (*.f64 alpha alpha)) (+.f64 alpha 2))) 3) (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (-.f64 9 (*.f64 alpha alpha)) (+.f64 alpha 2))) (*.f64 (neg.f64 (sqrt.f64 alpha)) (sqrt.f64 alpha))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (-.f64 9 (*.f64 alpha alpha))) (-.f64 3 alpha))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 (-.f64 3 alpha) (-.f64 9 (*.f64 alpha alpha))))
(+.f64 (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (-.f64 9 (*.f64 alpha alpha)) (+.f64 alpha 2))) 3) (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (-.f64 9 (*.f64 alpha alpha)) (+.f64 alpha 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (-.f64 9 (*.f64 alpha alpha))) (-.f64 3 alpha))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 (-.f64 3 alpha) (-.f64 9 (*.f64 alpha alpha))))
(+.f64 (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 27 (pow.f64 alpha 3)) (+.f64 alpha 2))) 9) (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 27 (pow.f64 alpha 3)) (+.f64 alpha 2))) (*.f64 alpha (-.f64 alpha 3))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 (pow.f64 alpha 3) 27)) (+.f64 9 (*.f64 alpha (+.f64 alpha -3))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 (pow.f64 alpha 3) 27)) (fma.f64 alpha (+.f64 alpha -3) 9))
(+.f64 (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 27 (pow.f64 alpha 3)) (+.f64 alpha 2))) (*.f64 alpha (-.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 27 (pow.f64 alpha 3)) (+.f64 alpha 2))) 9))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 (pow.f64 alpha 3) 27)) (+.f64 9 (*.f64 alpha (+.f64 alpha -3))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 (pow.f64 alpha 3) 27)) (fma.f64 alpha (+.f64 alpha -3) 9))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))) 1)
(fma.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)) alpha (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)))
(/.f64 (+.f64 alpha 1) (fma.f64 alpha (+.f64 alpha 5) 6))
(*.f64 1 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(fma.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)) alpha (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)))
(/.f64 (+.f64 alpha 1) (fma.f64 alpha (+.f64 alpha 5) 6))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(fma.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)) alpha (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)))
(/.f64 (+.f64 alpha 1) (fma.f64 alpha (+.f64 alpha 5) 6))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 1)
(fma.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)) alpha (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)))
(/.f64 (+.f64 alpha 1) (fma.f64 alpha (+.f64 alpha 5) 6))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (sqrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))))
(fma.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)) alpha (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)))
(/.f64 (+.f64 alpha 1) (fma.f64 alpha (+.f64 alpha 5) 6))
(*.f64 (sqrt.f64 (+.f64 1 alpha)) (*.f64 (sqrt.f64 (+.f64 1 alpha)) (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))))
(fma.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)) alpha (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)))
(/.f64 (+.f64 alpha 1) (fma.f64 alpha (+.f64 alpha 5) 6))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) 2))
(fma.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)) alpha (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)))
(/.f64 (+.f64 alpha 1) (fma.f64 alpha (+.f64 alpha 5) 6))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) 2) (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))))
(fma.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)) alpha (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)))
(/.f64 (+.f64 alpha 1) (fma.f64 alpha (+.f64 alpha 5) 6))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))))
(fma.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)) alpha (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)))
(/.f64 (+.f64 alpha 1) (fma.f64 alpha (+.f64 alpha 5) 6))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (/.f64 1 (+.f64 alpha 3)))
(fma.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)) alpha (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)))
(/.f64 (+.f64 alpha 1) (fma.f64 alpha (+.f64 alpha 5) 6))
(*.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (+.f64 1 alpha))
(fma.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)) alpha (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)))
(/.f64 (+.f64 alpha 1) (fma.f64 alpha (+.f64 alpha 5) 6))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (*.f64 (+.f64 alpha 2) (neg.f64 (+.f64 alpha 3)))))
(*.f64 (-.f64 -1 alpha) (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 (neg.f64 alpha) -3)))
(/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 alpha 2) (-.f64 -3 alpha)))
(*.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))
(fma.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)) alpha (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)))
(/.f64 (+.f64 alpha 1) (fma.f64 alpha (+.f64 alpha 5) 6))
(*.f64 (/.f64 1 (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)))
(fma.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)) alpha (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)))
(/.f64 (+.f64 alpha 1) (fma.f64 alpha (+.f64 alpha 5) 6))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))))
(fma.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)) alpha (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)))
(/.f64 (+.f64 alpha 1) (fma.f64 alpha (+.f64 alpha 5) 6))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))))
(fma.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)) alpha (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)))
(/.f64 (+.f64 alpha 1) (fma.f64 alpha (+.f64 alpha 5) 6))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (-.f64 9 (*.f64 alpha alpha)) (+.f64 alpha 2))) (-.f64 3 alpha))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (-.f64 9 (*.f64 alpha alpha))) (-.f64 3 alpha))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 (-.f64 3 alpha) (-.f64 9 (*.f64 alpha alpha))))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 27 (pow.f64 alpha 3)) (+.f64 alpha 2))) (+.f64 9 (*.f64 alpha (-.f64 alpha 3))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 (pow.f64 alpha 3) 27)) (+.f64 9 (*.f64 alpha (+.f64 alpha -3))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (+.f64 (pow.f64 alpha 3) 27)) (fma.f64 alpha (+.f64 alpha -3) 9))
(*.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (neg.f64 (+.f64 alpha 3)))) (-.f64 -1 alpha))
(*.f64 (-.f64 -1 alpha) (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 (neg.f64 alpha) -3)))
(/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 alpha 2) (-.f64 -3 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) 1) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(fma.f64 (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)) alpha (/.f64 (/.f64 1 (+.f64 alpha 2)) (+.f64 alpha 3)))
(/.f64 (+.f64 alpha 1) (fma.f64 alpha (+.f64 alpha 5) 6))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (sqrt.f64 (+.f64 1 alpha)))
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(*.f64 (/.f64 (-.f64 9 (*.f64 alpha alpha)) (-.f64 3 alpha)) (+.f64 alpha 2))
(*.f64 (/.f64 (+.f64 alpha 2) (-.f64 3 alpha)) (-.f64 9 (*.f64 alpha alpha)))
(/.f64 (*.f64 (+.f64 alpha 2) (+.f64 27 (pow.f64 alpha 3))) (+.f64 9 (*.f64 alpha (-.f64 alpha 3))))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 27) (+.f64 9 (*.f64 alpha (+.f64 alpha -3)))) (+.f64 alpha 2))
(*.f64 (+.f64 alpha 2) (/.f64 (+.f64 (pow.f64 alpha 3) 27) (fma.f64 alpha (+.f64 alpha -3) 9)))
(/.f64 (*.f64 (+.f64 alpha 3) (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))
(/.f64 (-.f64 4 (*.f64 alpha alpha)) (/.f64 (-.f64 2 alpha) (+.f64 alpha 3)))
(*.f64 (+.f64 alpha 3) (/.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 2 alpha)))
(/.f64 (*.f64 (+.f64 alpha 3) (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 alpha (-.f64 alpha 2))))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))) (+.f64 alpha 3))
(*.f64 (+.f64 alpha 3) (/.f64 (+.f64 (pow.f64 alpha 3) 8) (fma.f64 alpha (+.f64 alpha -2) 4)))
(/.f64 (*.f64 (-.f64 4 (*.f64 alpha alpha)) (+.f64 alpha 3)) (-.f64 2 alpha))
(/.f64 (-.f64 4 (*.f64 alpha alpha)) (/.f64 (-.f64 2 alpha) (+.f64 alpha 3)))
(*.f64 (+.f64 alpha 3) (/.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 2 alpha)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 alpha 3)) (+.f64 alpha 3)) (+.f64 4 (*.f64 alpha (-.f64 alpha 2))))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))) (+.f64 alpha 3))
(*.f64 (+.f64 alpha 3) (/.f64 (+.f64 (pow.f64 alpha 3) 8) (fma.f64 alpha (+.f64 alpha -2) 4)))
(/.f64 (*.f64 (-.f64 9 (*.f64 alpha alpha)) (+.f64 alpha 2)) (-.f64 3 alpha))
(*.f64 (/.f64 (-.f64 9 (*.f64 alpha alpha)) (-.f64 3 alpha)) (+.f64 alpha 2))
(*.f64 (/.f64 (+.f64 alpha 2) (-.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 (+.f64 (pow.f64 alpha 3) 27) (+.f64 9 (*.f64 alpha (+.f64 alpha -3)))) (+.f64 alpha 2))
(*.f64 (+.f64 alpha 2) (/.f64 (+.f64 (pow.f64 alpha 3) 27) (fma.f64 alpha (+.f64 alpha -3) 9)))
(/.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 (fma.f64 alpha (+.f64 alpha 2) (fma.f64 alpha 3 6)) (-.f64 (fma.f64 alpha 3 6) (*.f64 alpha (+.f64 alpha 2)))) (-.f64 (fma.f64 alpha 3 6) (*.f64 alpha (+.f64 alpha 2))))
(*.f64 (fma.f64 alpha (+.f64 alpha 5) 6) (/.f64 (-.f64 (fma.f64 alpha 3 6) (*.f64 alpha (+.f64 alpha 2))) (-.f64 (fma.f64 alpha 3 6) (*.f64 alpha (+.f64 alpha 2)))))
(/.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 (fma.f64 alpha (+.f64 alpha 2) (fma.f64 alpha 3 6)) (-.f64 (fma.f64 alpha 3 6) (*.f64 alpha (+.f64 alpha 2)))) (-.f64 (fma.f64 alpha 3 6) (*.f64 alpha (+.f64 alpha 2))))
(*.f64 (fma.f64 alpha (+.f64 alpha 5) 6) (/.f64 (-.f64 (fma.f64 alpha 3 6) (*.f64 alpha (+.f64 alpha 2))) (-.f64 (fma.f64 alpha 3 6) (*.f64 alpha (+.f64 alpha 2)))))
(/.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 alpha 2)) 3)) (fma.f64 (fma.f64 alpha 3 6) (fma.f64 alpha 3 6) (*.f64 (*.f64 alpha (+.f64 alpha 2)) (-.f64 (*.f64 alpha (+.f64 alpha 2)) (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 alpha 2)) 3)) (fma.f64 (fma.f64 alpha 3 6) (fma.f64 alpha 3 6) (*.f64 (*.f64 alpha (+.f64 alpha 2)) (-.f64 (*.f64 alpha (+.f64 alpha 2)) (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 (-.f64 9 (*.f64 alpha alpha)) (*.f64 (-.f64 3 alpha) (-.f64 2 alpha))) (-.f64 4 (*.f64 alpha alpha)))
(*.f64 (/.f64 (-.f64 9 (*.f64 alpha alpha)) (-.f64 2 alpha)) (/.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 3 alpha)))
(/.f64 (*.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 9 (*.f64 alpha alpha))) (*.f64 1 (*.f64 (-.f64 2 alpha) (-.f64 3 alpha))))
(*.f64 (/.f64 (-.f64 9 (*.f64 alpha alpha)) (*.f64 (-.f64 3 alpha) (-.f64 2 alpha))) (-.f64 4 (*.f64 alpha alpha)))
(*.f64 (/.f64 (-.f64 9 (*.f64 alpha alpha)) (-.f64 2 alpha)) (/.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 3 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 4 (*.f64 alpha alpha)) (-.f64 2 alpha)) (/.f64 (+.f64 (pow.f64 alpha 3) 27) (+.f64 9 (*.f64 alpha (+.f64 alpha -3)))))
(*.f64 (+.f64 (pow.f64 alpha 3) 27) (/.f64 (-.f64 4 (*.f64 alpha alpha)) (*.f64 (fma.f64 alpha (+.f64 alpha -3) 9) (-.f64 2 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 4 (*.f64 alpha alpha)) (-.f64 2 alpha)) (/.f64 (+.f64 (pow.f64 alpha 3) 27) (+.f64 9 (*.f64 alpha (+.f64 alpha -3)))))
(*.f64 (+.f64 (pow.f64 alpha 3) 27) (/.f64 (-.f64 4 (*.f64 alpha alpha)) (*.f64 (fma.f64 alpha (+.f64 alpha -3) 9) (-.f64 2 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 9 (*.f64 alpha alpha)) (/.f64 (+.f64 (pow.f64 alpha 3) 8) (*.f64 (-.f64 3 alpha) (fma.f64 alpha (+.f64 alpha -2) 4))))
(/.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 9 (*.f64 alpha alpha)) (/.f64 (+.f64 (pow.f64 alpha 3) 8) (*.f64 (-.f64 3 alpha) (fma.f64 alpha (+.f64 alpha -2) 4))))
(/.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 (pow.f64 alpha 3) 27) (/.f64 (+.f64 9 (*.f64 alpha (+.f64 alpha -3))) (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))))
(*.f64 (+.f64 (pow.f64 alpha 3) 8) (/.f64 (+.f64 (pow.f64 alpha 3) 27) (*.f64 (fma.f64 alpha (+.f64 alpha -3) 9) (fma.f64 alpha (+.f64 alpha -2) 4))))
(/.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 (pow.f64 alpha 3) 27) (/.f64 (+.f64 9 (*.f64 alpha (+.f64 alpha -3))) (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))))
(*.f64 (+.f64 (pow.f64 alpha 3) 8) (/.f64 (+.f64 (pow.f64 alpha 3) 27) (*.f64 (fma.f64 alpha (+.f64 alpha -3) 9) (fma.f64 alpha (+.f64 alpha -2) 4))))
(/.f64 (*.f64 (-.f64 9 (*.f64 alpha alpha)) (-.f64 4 (*.f64 alpha alpha))) (*.f64 (-.f64 3 alpha) (-.f64 2 alpha)))
(*.f64 (/.f64 (-.f64 9 (*.f64 alpha alpha)) (*.f64 (-.f64 3 alpha) (-.f64 2 alpha))) (-.f64 4 (*.f64 alpha alpha)))
(*.f64 (/.f64 (-.f64 9 (*.f64 alpha alpha)) (-.f64 2 alpha)) (/.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 3 alpha)))
(/.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 (-.f64 3 alpha) (-.f64 2 alpha))) (-.f64 4 (*.f64 alpha alpha)))
(*.f64 (/.f64 (-.f64 9 (*.f64 alpha alpha)) (-.f64 2 alpha)) (/.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 3 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 9 (*.f64 alpha alpha)) (/.f64 (+.f64 (pow.f64 alpha 3) 8) (*.f64 (-.f64 3 alpha) (fma.f64 alpha (+.f64 alpha -2) 4))))
(/.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 9 (*.f64 alpha alpha)) (/.f64 (+.f64 (pow.f64 alpha 3) 8) (*.f64 (-.f64 3 alpha) (fma.f64 alpha (+.f64 alpha -2) 4))))
(/.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 4 (*.f64 alpha alpha)) (-.f64 2 alpha)) (/.f64 (+.f64 (pow.f64 alpha 3) 27) (+.f64 9 (*.f64 alpha (+.f64 alpha -3)))))
(*.f64 (+.f64 (pow.f64 alpha 3) 27) (/.f64 (-.f64 4 (*.f64 alpha alpha)) (*.f64 (fma.f64 alpha (+.f64 alpha -3) 9) (-.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 4 (*.f64 alpha alpha)) (-.f64 2 alpha)) (/.f64 (+.f64 (pow.f64 alpha 3) 27) (+.f64 9 (*.f64 alpha (+.f64 alpha -3)))))
(*.f64 (+.f64 (pow.f64 alpha 3) 27) (/.f64 (-.f64 4 (*.f64 alpha alpha)) (*.f64 (fma.f64 alpha (+.f64 alpha -3) 9) (-.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 (pow.f64 alpha 3) 27) (/.f64 (+.f64 9 (*.f64 alpha (+.f64 alpha -3))) (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))))
(*.f64 (+.f64 (pow.f64 alpha 3) 8) (/.f64 (+.f64 (pow.f64 alpha 3) 27) (*.f64 (fma.f64 alpha (+.f64 alpha -3) 9) (fma.f64 alpha (+.f64 alpha -2) 4))))
(/.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 (pow.f64 alpha 3) 27) (/.f64 (+.f64 9 (*.f64 alpha (+.f64 alpha -3))) (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))))
(*.f64 (+.f64 (pow.f64 alpha 3) 8) (/.f64 (+.f64 (pow.f64 alpha 3) 27) (*.f64 (fma.f64 alpha (+.f64 alpha -3) 9) (fma.f64 alpha (+.f64 alpha -2) 4))))
(pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) 1)
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(fma.f64 alpha (+.f64 alpha 5) 6)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 2)
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(fma.f64 alpha (+.f64 alpha 5) 6)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 3)
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(fma.f64 alpha (+.f64 alpha 5) 6)
(pow.f64 (pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) 3) 1/3)
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(fma.f64 alpha (+.f64 alpha 5) 6)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) 2))
(fabs.f64 (fma.f64 alpha (+.f64 alpha 5) 6))
(log.f64 (pow.f64 (exp.f64 (+.f64 alpha 3)) (+.f64 alpha 2)))
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(fma.f64 alpha (+.f64 alpha 5) 6)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))))
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(fma.f64 alpha (+.f64 alpha 5) 6)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) 3))
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(fma.f64 alpha (+.f64 alpha 5) 6)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 alpha 3) 3)))
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(fma.f64 alpha (+.f64 alpha 5) 6)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha 3) 3) (pow.f64 (+.f64 alpha 2) 3)))
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(fma.f64 alpha (+.f64 alpha 5) 6)
(expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(fma.f64 alpha (+.f64 alpha 5) 6)
(exp.f64 (log.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(fma.f64 alpha (+.f64 alpha 5) 6)
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 1))
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(fma.f64 alpha (+.f64 alpha 5) 6)
(log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(fma.f64 alpha (+.f64 alpha 5) 6)
(fma.f64 (+.f64 alpha 2) 3 (*.f64 alpha (+.f64 alpha 2)))
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(fma.f64 alpha (+.f64 alpha 5) 6)
(fma.f64 3 (+.f64 alpha 2) (*.f64 alpha (+.f64 alpha 2)))
(+.f64 6 (fma.f64 5 alpha (*.f64 alpha alpha)))
(fma.f64 alpha (+.f64 alpha 5) 6)

localize26.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3)))
0.1b
(*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2))
7.9b
(/.f64 (+.f64 beta 1) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
Compiler

Compiled 75 to 42 computations (44% saved)

series9.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite102.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1600×associate-/r/
454×associate-+l+
452×+-commutative
396×associate-+r+
382×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01561
136349
2564349
Stop Event
node limit
Counts
1 → 101
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 1) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
Outputs
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simplify172.0ms (0.9%)

Algorithm
egg-herbie
Rules
1630×distribute-lft-in
1090×*-commutative
888×associate-*r*
776×associate-*l*
744×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060716093
1245815869
Stop Event
node limit
Counts
125 → 247
Calls
Call 1
Inputs
(/.f64 1 (*.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 4 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))))))) (/.f64 1 (*.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 4 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))) (+.f64 (*.f64 2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 7 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (*.f64 2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 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 7 (+.f64 alpha (*.f64 2 alpha))) (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))) (+.f64 (*.f64 2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (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) 4) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha))))))) (+.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 7 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (*.f64 2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 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 beta (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))) (+.f64 (*.f64 2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 7 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (*.f64 2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 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 alpha (*.f64 2 alpha))) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) (+.f64 6 (+.f64 alpha (*.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 alpha (*.f64 2 alpha))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 6 (+.f64 alpha (*.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 alpha (*.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 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) (+.f64 6 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (pow.f64 beta 4))))))
(/.f64 1 (pow.f64 beta 2))
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(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (-.f64 2 (+.f64 beta alpha)))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (*.f64 alpha alpha) (-.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 2)) (*.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (neg.f64 (+.f64 beta (-.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) (neg.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (neg.f64 (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) 2)))))
(*.f64 (/.f64 (*.f64 (fma.f64 beta beta -1) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) (fma.f64 beta beta -1)) (+.f64 beta 1))
(*.f64 (/.f64 (*.f64 (fma.f64 beta beta -1) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) (-.f64 (pow.f64 beta 3) 1)) (+.f64 (+.f64 1 (*.f64 beta beta)) beta))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (-.f64 1 beta) (-.f64 1 beta)))) (+.f64 (fma.f64 beta beta -1) beta))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (-.f64 1 beta) 3))) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (-.f64 (*.f64 (-.f64 1 beta) (-.f64 1 beta)) (*.f64 (*.f64 beta beta) (-.f64 1 beta)))))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 beta (-.f64 alpha 2)))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3))) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3))))) (+.f64 beta (-.f64 alpha 2)))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3))))) (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) (-.f64 (*.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3))))) (*.f64 (*.f64 2 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) (*.f64 2 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3))))))) (-.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) (*.f64 2 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3))))))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) 1) (+.f64 (pow.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) 3) (pow.f64 (*.f64 2 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) 3))) (+.f64 (*.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3))))) (-.f64 (*.f64 (*.f64 2 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) (*.f64 2 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3))))) (*.f64 (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) (*.f64 2 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3))))))))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2)))) (-.f64 (-.f64 beta alpha) 3))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (*.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 alpha (-.f64 3 beta)))))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (+.f64 beta (-.f64 alpha 2)))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (+.f64 alpha 3)))) (+.f64 beta (-.f64 alpha 2)))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 beta (+.f64 alpha 3)))) (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 beta (+.f64 alpha 2)))) (-.f64 (-.f64 beta alpha) 3))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (*.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 alpha (-.f64 3 beta)))))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (-.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 1) (+.f64 beta (+.f64 alpha 2))) (+.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 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2)))) (*.f64 (+.f64 beta (-.f64 alpha 2)) (-.f64 (-.f64 beta alpha) 3)))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 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 alpha (-.f64 3 beta))))))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2)))) (*.f64 (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) 2))) (-.f64 (-.f64 beta alpha) 3)))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)))) (*.f64 (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) 2))) (fma.f64 beta beta (*.f64 (+.f64 alpha 3) (+.f64 alpha (-.f64 3 beta))))))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (*.f64 (-.f64 (-.f64 beta alpha) 3) (+.f64 beta (-.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (*.f64 (-.f64 (-.f64 beta alpha) 3) (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 3) (+.f64 alpha (-.f64 3 beta)))) (+.f64 beta (-.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 3) (+.f64 alpha (-.f64 3 beta)))) (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) 2)))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) 1) 1) (/.f64 (+.f64 beta (-.f64 alpha 2)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) 1) 1) (/.f64 (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) 2))) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) 1) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4)) (+.f64 beta (-.f64 alpha 2)))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) 1) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) 1) (-.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta 2) (+.f64 beta 2)))) (-.f64 (-.f64 alpha 2) beta))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) 1) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (-.f64 2 (+.f64 beta alpha)))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) 1) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (*.f64 alpha alpha) (-.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 2)) (*.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (neg.f64 (+.f64 beta (-.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) 1) (neg.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (neg.f64 (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) 2)))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (sqrt.f64 (+.f64 beta (-.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (sqrt.f64 (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) 2)))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4))) (cbrt.f64 (+.f64 beta (-.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta (+.f64 alpha 3)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)))) (cbrt.f64 (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) 2)))))
(pow.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 3) 1/3)
(pow.f64 (/.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (+.f64 beta 1)) -1)
(neg.f64 (/.f64 (+.f64 beta 1) (neg.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
Outputs
(/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 alpha 3)))
(/.f64 (/.f64 1 (+.f64 alpha 3)) (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))))))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))
(fma.f64 beta (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 alpha 3))) (+.f64 (/.f64 4 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 alpha 3))) (fma.f64 2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 alpha 3))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2)))))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 alpha 3))))
(fma.f64 beta (-.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 alpha 3)) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 4 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 alpha 3)))) (fma.f64 2 (/.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 alpha 3)) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (/.f64 (/.f64 1 (+.f64 alpha 3)) (pow.f64 (+.f64 2 alpha) 2)))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 4 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))) (+.f64 (*.f64 2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 7 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (*.f64 2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))))))))
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(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 (+.f64 alpha beta) 2) 2))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 (+.f64 alpha beta) 2) 2)))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 (+.f64 alpha beta) 2) 2)))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 3))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 (+.f64 alpha beta) 2) 2)))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) 3)))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 (+.f64 alpha beta) 2) 2)))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 (+.f64 alpha beta) 2) 2)))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 (+.f64 alpha beta) 2) 2)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 alpha (+.f64 3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 1))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 (+.f64 alpha beta) 2) 2)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 alpha (+.f64 3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 (+.f64 alpha beta) 2) 2)))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)))

eval1.5s (7.5%)

Compiler

Compiled 55884 to 40147 computations (28.2% saved)

prune521.0ms (2.6%)

Pruning

24 alts after pruning (22 fresh and 2 done)

PrunedKeptTotal
New141661422
Fresh51621
Picked101
Done325
Total1425241449
Error
0b
Counts
1449 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
17.1b
(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 alpha (*.f64 beta alpha)) (/.f64 (*.f64 beta beta) (+.f64 beta -1))) (/.f64 1 (+.f64 beta -1))) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
4.7b
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
24.3b
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
24.4b
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
32.7b
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
29.4b
(/.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)))
31.3b
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
29.7b
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
45.1b
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (+.f64 2 alpha))
62.0b
(/.f64 (/.f64 1 alpha) alpha)
17.4b
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))
17.1b
(/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))
18.9b
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (+.f64 (+.f64 alpha beta) 2)))
11.0b
(/.f64 (+.f64 beta 1) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) 2)))
40.3b
(/.f64 (+.f64 beta 1) (*.f64 (*.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
2.8b
(/.f64 (+.f64 1 alpha) (*.f64 (*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 3 alpha))))
32.2b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
2.1b
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 3) alpha)) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
2.1b
(/.f64 (*.f64 (-.f64 -1 beta) (/.f64 (-.f64 -1 alpha) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))))) (+.f64 alpha (+.f64 beta 3)))
45.8b
(/.f64 alpha (*.f64 beta beta))
34.1b
(/.f64 1 (*.f64 beta beta))
62.4b
(/.f64 1 alpha)
30.3b
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
33.9b
(*.f64 1/2 1/6)
Compiler

Compiled 786 to 562 computations (28.5% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 alpha (+.f64 beta 2))
0.0b
(/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 3) alpha))
0.0b
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
2.1b
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 3) alpha)) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
Compiler

Compiled 87 to 58 computations (33.3% saved)

series10.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
4.0ms
beta
@-inf
(/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 3) alpha))
1.0ms
beta
@inf
(/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 3) alpha))
1.0ms
beta
@0
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 3) alpha)) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms
alpha
@0
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 3) alpha)) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
0.0ms
beta
@-inf
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 3) alpha)) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

rewrite101.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
550×associate-+l+
518×+-commutative
446×add-sqr-sqrt
442×associate-+r+
436×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01786
142286
2688586
Stop Event
node limit
Counts
2 → 84
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 3) alpha)) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 3) alpha))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (/.f64 1 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -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))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.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))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 3 (+.f64 beta alpha)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 3 (+.f64 beta alpha)))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 3 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (neg.f64 (+.f64 1 alpha))) (/.f64 1 (neg.f64 (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 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 3 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (+.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 3 (+.f64 beta alpha)))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 3 (+.f64 beta alpha)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha))) 1) (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha))) 2) (+.f64 beta (+.f64 alpha 2))) (/.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha))) 2) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) 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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 3 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 3 (+.f64 beta alpha)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))))))))

simplify155.0ms (0.8%)

Algorithm
egg-herbie
Rules
1178×distribute-lft-in
1092×distribute-rgt-in
972×associate-*r*
882×associate-*l*
786×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058014996
1204514740
Stop Event
node limit
Counts
132 → 259
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 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 (+.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))))))
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(/.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)))
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(-.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))
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(/.f64 1 (+.f64 3 alpha))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (*.f64 beta (-.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))))))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 4)))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 3))) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (pow.f64 beta 2)))))
1
(+.f64 (/.f64 1 beta) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 3 alpha) beta))))
(+.f64 (/.f64 1 beta) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 3 alpha))) (+.f64 3 alpha)) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 3 alpha) beta)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 3 alpha))) (+.f64 3 alpha)) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 3 alpha) beta))))))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))) alpha)) (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))))
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 2)) (+.f64 beta 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))) alpha)) (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3)))))
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 2)) (+.f64 beta 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))) alpha)) (+.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 4)) (/.f64 beta (pow.f64 (+.f64 beta 3) 4))) (pow.f64 alpha 3))) (/.f64 beta (+.f64 beta 3))))))
(/.f64 (+.f64 beta 1) alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (pow.f64 alpha 4))) (/.f64 1 alpha)))))
(/.f64 (+.f64 beta 1) alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (pow.f64 alpha 4))) (/.f64 1 alpha)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))) 1)
(*.f64 1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (/.f64 1 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))))
(*.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))
(*.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 1)
(*.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))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (pow.f64 (cbrt.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))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))
(*.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 3 (+.f64 beta alpha)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)))
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 3 (+.f64 beta alpha)))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 3 (+.f64 beta alpha)))))
(*.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (neg.f64 (+.f64 1 alpha))) (/.f64 1 (neg.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 3 (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) 1) (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (+.f64 1 alpha))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 3 (+.f64 beta alpha)))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 3 (+.f64 beta alpha)))) (+.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 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha))) 1) (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (/.f64 (+.f64 1 alpha) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha))) 2) (+.f64 beta (+.f64 alpha 2))) (/.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha))) 2) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))
(pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 3) 1/3)
(pow.f64 (*.f64 (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) -1)
(neg.f64 (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) (neg.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 1 alpha)) (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) 3) (pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))
(exp.f64 (-.f64 (+.f64 (log1p.f64 alpha) (-.f64 (log1p.f64 beta) (log.f64 (+.f64 3 (+.f64 beta alpha))))) (*.f64 2 (log.f64 (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (*.f64 (-.f64 (+.f64 (log1p.f64 alpha) (-.f64 (log1p.f64 beta) (log.f64 (+.f64 3 (+.f64 beta alpha))))) (*.f64 2 (log.f64 (+.f64 beta (+.f64 alpha 2))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))))) 1)
(*.f64 1 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 3 (+.f64 beta alpha))))
(*.f64 (+.f64 beta 1) (*.f64 (/.f64 1 (+.f64 3 (+.f64 beta alpha))) 1))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) 1)
(*.f64 (hypot.f64 1 (sqrt.f64 beta)) (*.f64 (hypot.f64 1 (sqrt.f64 beta)) (/.f64 1 (+.f64 3 (+.f64 beta alpha)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) (*.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) 1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (*.f64 (cbrt.f64 (+.f64 beta 1)) (/.f64 1 (+.f64 3 (+.f64 beta alpha)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) 2) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) 1))
(*.f64 (/.f64 1 (+.f64 3 (+.f64 beta alpha))) (+.f64 beta 1))
(*.f64 (+.f64 -1 (neg.f64 beta)) (/.f64 1 (neg.f64 (+.f64 3 (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 3 (+.f64 beta alpha)))) (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 3 (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 beta alpha))) 2)) (/.f64 (+.f64 beta 1) (cbrt.f64 (+.f64 3 (+.f64 beta alpha)))))
(*.f64 (/.f64 (+.f64 beta 1) (-.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha alpha))) (+.f64 beta (-.f64 3 alpha)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))) (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha (-.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (+.f64 3 (+.f64 beta alpha))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 beta alpha))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (cbrt.f64 (+.f64 3 (+.f64 beta alpha)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 1)) (+.f64 3 (+.f64 beta alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (sqrt.f64 (+.f64 3 (+.f64 beta alpha)))) (/.f64 (cbrt.f64 (+.f64 beta 1)) (sqrt.f64 (+.f64 3 (+.f64 beta alpha)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 beta alpha))) 2)) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))))
(pow.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 beta 1)) -1)
(neg.f64 (/.f64 (+.f64 beta 1) (neg.f64 (+.f64 3 (+.f64 beta alpha)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 3 (+.f64 beta alpha)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 3 (+.f64 beta alpha)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 3 (+.f64 beta alpha)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))))
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 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 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 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 (pow.f64 (+.f64 alpha 2) 2) (*.f64 2 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 1 alpha))))) (+.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 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))))) (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 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))))) (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 alpha (*.f64 (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 (pow.f64 (+.f64 alpha 2) 2) (*.f64 2 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 1 alpha))))) (fma.f64 -1 (*.f64 (*.f64 beta 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 (pow.f64 (+.f64 alpha 2) 2) (*.f64 2 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 1 alpha))))) (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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1
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1
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(/.f64 (+.f64 beta 1) alpha)
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(fma.f64 -1 (/.f64 (+.f64 1 beta) (/.f64 (*.f64 alpha alpha) (+.f64 3 beta))) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
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(*.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))) (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta))))) (+.f64 (+.f64 alpha 2) beta)) 2)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))) (+.f64 alpha (+.f64 2 beta))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))) 3)
(*.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta))) (pow.f64 (+.f64 (+.f64 alpha 2) beta) -2)))
(*.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))) (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)))
(pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 3) 1/3)
(*.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta))) (pow.f64 (+.f64 (+.f64 alpha 2) beta) -2)))
(*.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))) (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)))
(pow.f64 (*.f64 (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 alpha))) -1)
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2) (+.f64 1 alpha)))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 3 beta)) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2))))
(neg.f64 (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) (neg.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(*.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta))) (neg.f64 (+.f64 1 alpha))) (/.f64 1 (neg.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2))))
(/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))) (-.f64 -1 alpha)) (neg.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta))) (pow.f64 (+.f64 (+.f64 alpha 2) beta) -2))) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))) (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 1 alpha)) (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) -2) (log.f64 (pow.f64 (exp.f64 (+.f64 1 alpha)) (/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta))))))
(*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2) (log.f64 (pow.f64 (exp.f64 (+.f64 1 alpha)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))))
(*.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta))) (pow.f64 (+.f64 (+.f64 alpha 2) beta) -2)))
(*.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))) (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 3))
(*.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta))) (pow.f64 (+.f64 (+.f64 alpha 2) beta) -2)))
(*.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))) (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (+.f64 1 alpha)) 3) (pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta)))) 3) (pow.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))) 3) (pow.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))
(*.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta))) (pow.f64 (+.f64 (+.f64 alpha 2) beta) -2)))
(*.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))) (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)))
(exp.f64 (-.f64 (+.f64 (log1p.f64 alpha) (-.f64 (log1p.f64 beta) (log.f64 (+.f64 3 (+.f64 beta alpha))))) (*.f64 2 (log.f64 (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (+.f64 (log1p.f64 alpha) (-.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 3 (+.f64 alpha beta)))) (*.f64 2 (log.f64 (+.f64 (+.f64 alpha 2) beta))))))
(exp.f64 (+.f64 (log1p.f64 alpha) (-.f64 (log1p.f64 beta) (+.f64 (log.f64 (+.f64 alpha (+.f64 3 beta))) (*.f64 2 (log.f64 (+.f64 alpha (+.f64 2 beta))))))))
(exp.f64 (*.f64 (-.f64 (+.f64 (log1p.f64 alpha) (-.f64 (log1p.f64 beta) (log.f64 (+.f64 3 (+.f64 beta alpha))))) (*.f64 2 (log.f64 (+.f64 beta (+.f64 alpha 2))))) 1))
(exp.f64 (+.f64 (log1p.f64 alpha) (-.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 3 (+.f64 alpha beta)))) (*.f64 2 (log.f64 (+.f64 (+.f64 alpha 2) beta))))))
(exp.f64 (+.f64 (log1p.f64 alpha) (-.f64 (log1p.f64 beta) (+.f64 (log.f64 (+.f64 alpha (+.f64 3 beta))) (*.f64 2 (log.f64 (+.f64 alpha (+.f64 2 beta))))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))
(*.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta))) (pow.f64 (+.f64 (+.f64 alpha 2) beta) -2)))
(*.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))) (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))))) 1)
(/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta)))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))
(*.f64 1 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))))
(/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta)))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 3 (+.f64 beta alpha))))
(/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta)))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))
(*.f64 (+.f64 beta 1) (*.f64 (/.f64 1 (+.f64 3 (+.f64 beta alpha))) 1))
(/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta)))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) 1)
(/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta)))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))
(*.f64 (hypot.f64 1 (sqrt.f64 beta)) (*.f64 (hypot.f64 1 (sqrt.f64 beta)) (/.f64 1 (+.f64 3 (+.f64 beta alpha)))))
(*.f64 (hypot.f64 1 (sqrt.f64 beta)) (*.f64 (/.f64 1 (+.f64 3 (+.f64 alpha beta))) (hypot.f64 1 (sqrt.f64 beta))))
(/.f64 (*.f64 (hypot.f64 1 (sqrt.f64 beta)) (*.f64 1 (hypot.f64 1 (sqrt.f64 beta)))) (+.f64 alpha (+.f64 3 beta)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))))
(/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta)))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) (*.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) 1))
(/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta)))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (*.f64 (cbrt.f64 (+.f64 beta 1)) (/.f64 1 (+.f64 3 (+.f64 beta alpha)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (/.f64 (*.f64 (cbrt.f64 (+.f64 1 beta)) 1) (+.f64 3 (+.f64 alpha beta))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 3 beta))) (*.f64 (cbrt.f64 (+.f64 1 beta)) (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) 2))
(/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta)))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) 2) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))))
(/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta)))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) 1))
(/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta)))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))
(*.f64 (/.f64 1 (+.f64 3 (+.f64 beta alpha))) (+.f64 beta 1))
(/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta)))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))
(*.f64 (+.f64 -1 (neg.f64 beta)) (/.f64 1 (neg.f64 (+.f64 3 (+.f64 beta alpha)))))
(*.f64 (-.f64 -1 beta) (/.f64 1 (+.f64 -3 (neg.f64 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 beta) (-.f64 -3 (+.f64 alpha beta)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 3 (+.f64 beta alpha)))) (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 3 (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))) (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 3 beta)))) (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 alpha (+.f64 3 beta)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 beta alpha))) 2)) (/.f64 (+.f64 beta 1) (cbrt.f64 (+.f64 3 (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2)) (/.f64 (+.f64 1 beta) (cbrt.f64 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2)) (/.f64 (+.f64 1 beta) (cbrt.f64 (+.f64 alpha (+.f64 3 beta)))))
(*.f64 (/.f64 (+.f64 beta 1) (-.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha alpha))) (+.f64 beta (-.f64 3 alpha)))
(/.f64 (*.f64 (+.f64 1 beta) (+.f64 beta (-.f64 3 alpha))) (-.f64 (pow.f64 (+.f64 3 beta) 2) (*.f64 alpha alpha)))
(/.f64 (+.f64 1 beta) (/.f64 (-.f64 (pow.f64 (+.f64 3 beta) 2) (*.f64 alpha alpha)) (+.f64 3 (-.f64 beta alpha))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))) (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha (-.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 3 beta) 3))) (+.f64 (pow.f64 (+.f64 3 beta) 2) (*.f64 alpha (-.f64 alpha (+.f64 3 beta)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (+.f64 3 (+.f64 beta alpha))))
(/.f64 (*.f64 (hypot.f64 1 (sqrt.f64 beta)) (hypot.f64 1 (sqrt.f64 beta))) (+.f64 3 (+.f64 alpha beta)))
(*.f64 (hypot.f64 1 (sqrt.f64 beta)) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (+.f64 alpha (+.f64 3 beta))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 beta alpha))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (cbrt.f64 (+.f64 3 (+.f64 beta alpha)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (cbrt.f64 (+.f64 3 (+.f64 alpha beta)))))
(/.f64 (/.f64 (*.f64 (hypot.f64 1 (sqrt.f64 beta)) (hypot.f64 1 (sqrt.f64 beta))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2)) (cbrt.f64 (+.f64 alpha (+.f64 3 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 1)) (+.f64 3 (+.f64 beta alpha))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (cbrt.f64 (+.f64 1 beta))) (+.f64 3 (+.f64 alpha beta)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (/.f64 (cbrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 3 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (sqrt.f64 (+.f64 3 (+.f64 beta alpha)))) (/.f64 (cbrt.f64 (+.f64 beta 1)) (sqrt.f64 (+.f64 3 (+.f64 beta alpha)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))) (/.f64 (cbrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))))
(/.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 1 beta)) (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (sqrt.f64 (+.f64 alpha (+.f64 3 beta)))) (sqrt.f64 (+.f64 alpha (+.f64 3 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 beta alpha))) 2)) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2)))
(pow.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) 1)
(/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta)))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) 2)
(/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta)))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))) 3)
(/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta)))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) 3) 1/3)
(/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta)))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))
(pow.f64 (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 beta 1)) -1)
(/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta)))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))
(neg.f64 (/.f64 (+.f64 beta 1) (neg.f64 (+.f64 3 (+.f64 beta alpha)))))
(*.f64 (-.f64 -1 beta) (/.f64 1 (+.f64 -3 (neg.f64 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 beta) (-.f64 -3 (+.f64 alpha beta)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))))
(/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta)))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))))))
(/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta)))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha))) 3))
(/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta)))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 3 (+.f64 beta alpha)) 3)))
(/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta)))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))))
(/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta)))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 3 (+.f64 beta alpha)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 3 (+.f64 alpha beta)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 alpha (+.f64 3 beta)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 3 (+.f64 beta alpha)))) 1))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 3 (+.f64 alpha beta)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 alpha (+.f64 3 beta)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 1) (+.f64 3 (+.f64 beta alpha)))))
(/.f64 (+.f64 1 beta) (+.f64 3 (+.f64 alpha beta)))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))

localize3.0ms (0%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize49.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1/2 (+.f64 beta 3))
0.1b
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))
Compiler

Compiled 26 to 20 computations (23.1% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite81.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1564×associate-/r*
1110×*-commutative
1080×associate-/l*
902×associate-/r/
606×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
123638
2320838
Stop Event
node limit
Counts
2 → 128
Calls
Call 1
Inputs
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 1/2 (+.f64 beta 3))
Outputs
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simplify114.0ms (0.6%)

Algorithm
egg-herbie
Rules
1170×associate-/l/
584×associate-/r/
556×+-commutative
550×*-commutative
524×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04005560
111405352
251065310
Stop Event
node limit
Counts
152 → 255
Calls
Call 1
Inputs
1/12
(+.f64 1/12 (*.f64 -5/72 beta))
(+.f64 1/12 (+.f64 (*.f64 -5/72 beta) (*.f64 19/432 (pow.f64 beta 2))))
(+.f64 1/12 (+.f64 (*.f64 -5/72 beta) (+.f64 (*.f64 19/432 (pow.f64 beta 2)) (*.f64 -65/2592 (pow.f64 beta 3)))))
(/.f64 1/2 (pow.f64 beta 2))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (*.f64 5/2 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (*.f64 19/2 (/.f64 1 (pow.f64 beta 4)))) (*.f64 5/2 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (*.f64 19/2 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (*.f64 65/2 (/.f64 1 (pow.f64 beta 5))) (*.f64 5/2 (/.f64 1 (pow.f64 beta 3)))))
(/.f64 1/2 (pow.f64 beta 2))
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (*.f64 5/2 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (*.f64 19/2 (/.f64 1 (pow.f64 beta 4)))) (*.f64 5/2 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (*.f64 19/2 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (*.f64 65/2 (/.f64 1 (pow.f64 beta 5))) (*.f64 5/2 (/.f64 1 (pow.f64 beta 3)))))
1/6
(+.f64 (*.f64 -1/18 beta) 1/6)
(+.f64 (*.f64 -1/18 beta) (+.f64 1/6 (*.f64 1/54 (pow.f64 beta 2))))
(+.f64 (*.f64 -1/18 beta) (+.f64 1/6 (+.f64 (*.f64 -1/162 (pow.f64 beta 3)) (*.f64 1/54 (pow.f64 beta 2)))))
(/.f64 1/2 beta)
(-.f64 (*.f64 1/2 (/.f64 1 beta)) (*.f64 3/2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) (*.f64 9/2 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3/2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) (*.f64 9/2 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 27/2 (/.f64 1 (pow.f64 beta 4))) (*.f64 3/2 (/.f64 1 (pow.f64 beta 2)))))
(/.f64 1/2 beta)
(-.f64 (*.f64 1/2 (/.f64 1 beta)) (*.f64 3/2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) (*.f64 9/2 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3/2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) (*.f64 9/2 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 27/2 (/.f64 1 (pow.f64 beta 4))) (*.f64 3/2 (/.f64 1 (pow.f64 beta 2)))))
(+.f64 (*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (fma.f64 beta beta -4)) beta) (*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (fma.f64 beta beta -4)) -2))
(+.f64 (*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 beta beta)) (*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (-.f64 4 (*.f64 beta 2))))
(+.f64 (*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (-.f64 4 (*.f64 beta 2))) (*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 beta beta)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta)))) 1)
(*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(*.f64 (/.f64 1/2 (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta)) 1)
(*.f64 1 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta))) (sqrt.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta))))
(*.f64 (sqrt.f64 (/.f64 1/2 (+.f64 beta 3))) (/.f64 (sqrt.f64 (/.f64 1/2 (+.f64 beta 3))) (+.f64 beta 2)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta))) 2))
(*.f64 (cbrt.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta))) 2) (cbrt.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))) 2) (*.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))))
(*.f64 (+.f64 beta -2) (/.f64 (/.f64 1/2 (+.f64 beta 3)) (fma.f64 beta beta -4)))
(*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1/2 (+.f64 beta 3)))
(*.f64 (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))) (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))))
(*.f64 (/.f64 -1/2 (+.f64 beta 3)) (/.f64 1 (-.f64 -2 beta)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))) 2))
(*.f64 (/.f64 1/2 (+.f64 beta 2)) (/.f64 1 (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (sqrt.f64 (+.f64 beta 2))) (/.f64 1 (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 (/.f64 1/2 (+.f64 beta 3)) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (/.f64 1/2 (+.f64 beta 3)) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (cbrt.f64 (+.f64 beta 2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (fma.f64 beta beta -4)) (+.f64 beta -2))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))
(*.f64 (/.f64 1 (fma.f64 beta beta -4)) (*.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta -2)))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 beta 3))) (*.f64 (/.f64 1/2 (+.f64 beta 3)) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))))
(*.f64 (/.f64 1 (-.f64 -2 beta)) (/.f64 -1/2 (+.f64 beta 3)))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1/2)
(*.f64 (/.f64 1/2 (sqrt.f64 (+.f64 beta 2))) (/.f64 (/.f64 1 (+.f64 beta 3)) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (sqrt.f64 (+.f64 beta 2))) (/.f64 1/2 (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 1 (*.f64 (+.f64 beta 3) (cbrt.f64 (+.f64 beta 2)))))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (cbrt.f64 (+.f64 beta 2)))) (/.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 (+.f64 beta 3))) (+.f64 beta 2)) (sqrt.f64 (/.f64 1/2 (+.f64 beta 3))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 (/.f64 1/2 (+.f64 beta 3))) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 (+.f64 beta 3))) (cbrt.f64 (+.f64 beta 2))) (/.f64 (sqrt.f64 (/.f64 1/2 (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))) 2) 1) (/.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))) (+.f64 beta 2)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))) (+.f64 beta 2)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))) 2) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta))))
(*.f64 (/.f64 1 (/.f64 (+.f64 beta 2) 1/2)) (/.f64 1 (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 2)) (fma.f64 beta beta -9)) (+.f64 beta -3))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 27 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))) 2) (+.f64 beta 2)) (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))))
(*.f64 (/.f64 1/2 (*.f64 (+.f64 beta 2) (fma.f64 beta beta -9))) (+.f64 beta -3))
(*.f64 (/.f64 1/2 (*.f64 (+.f64 beta 2) (+.f64 27 (pow.f64 beta 3)))) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))))
(*.f64 (/.f64 1/2 (*.f64 (fma.f64 beta beta -4) (fma.f64 beta beta -9))) (*.f64 (+.f64 beta -2) (+.f64 beta -3)))
(*.f64 (/.f64 1/2 (*.f64 (fma.f64 beta beta -4) (+.f64 27 (pow.f64 beta 3)))) (*.f64 (+.f64 beta -2) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(*.f64 (/.f64 1/2 (*.f64 (fma.f64 beta beta -9) (+.f64 8 (pow.f64 beta 3)))) (*.f64 (+.f64 beta -3) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))))
(*.f64 (/.f64 1/2 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 27 (pow.f64 beta 3)))) (*.f64 (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (neg.f64 (fma.f64 beta beta -4))) (neg.f64 (+.f64 beta -2)))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (neg.f64 (+.f64 8 (pow.f64 beta 3)))) (neg.f64 (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (-.f64 4 (*.f64 beta beta))) (-.f64 2 beta))
(*.f64 (/.f64 1 (/.f64 (+.f64 beta 2) (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))) 2))) (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3))) (/.f64 1/2 (sqrt.f64 (+.f64 beta 3))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (/.f64 1/2 (cbrt.f64 (+.f64 beta 3))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 beta beta -9)) (+.f64 (*.f64 1/2 beta) -3/2))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 27 (pow.f64 beta 3))) (*.f64 1/2 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 -3 beta)) -1/2)
(*.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (neg.f64 (fma.f64 beta beta -4))) (+.f64 beta -2))
(*.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (neg.f64 (+.f64 8 (pow.f64 beta 3)))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) -1/2) (neg.f64 (fma.f64 beta beta -9))) (+.f64 beta -3))
(*.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) -1/2) (neg.f64 (+.f64 27 (pow.f64 beta 3)))) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 2)) (neg.f64 (fma.f64 beta beta -9))) (neg.f64 (+.f64 beta -3)))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 2)) (neg.f64 (+.f64 27 (pow.f64 beta 3)))) (neg.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 2)) (-.f64 9 (*.f64 beta beta))) (-.f64 3 beta))
(*.f64 (/.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (fma.f64 beta beta -4))) (sqrt.f64 (+.f64 beta -2)))
(*.f64 (/.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 8 (pow.f64 beta 3)))) (sqrt.f64 (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))))
(*.f64 (/.f64 (/.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 3))) (cbrt.f64 (fma.f64 beta beta -4))) (cbrt.f64 (+.f64 beta -2)))
(*.f64 (/.f64 (/.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 3))) (cbrt.f64 (+.f64 8 (pow.f64 beta 3)))) (cbrt.f64 (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))))
(pow.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta)) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta)) 3) 1/3)
(pow.f64 (*.f64 (+.f64 beta 3) (/.f64 (+.f64 beta 2) 1/2)) -1)
(neg.f64 (/.f64 1/2 (*.f64 (-.f64 -2 beta) (+.f64 beta 3))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1/2 (+.f64 beta 3)) 3) (pow.f64 (+.f64 beta 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta))))
(exp.f64 (log.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta))))
(+.f64 (*.f64 (/.f64 1/2 (fma.f64 beta beta -9)) beta) (*.f64 (/.f64 1/2 (fma.f64 beta beta -9)) -3))
(+.f64 (*.f64 (/.f64 1/2 (+.f64 27 (pow.f64 beta 3))) (*.f64 beta beta)) (*.f64 (/.f64 1/2 (+.f64 27 (pow.f64 beta 3))) (-.f64 9 (*.f64 beta 3))))
(+.f64 (*.f64 (/.f64 1/2 (+.f64 27 (pow.f64 beta 3))) (-.f64 9 (*.f64 beta 3))) (*.f64 (/.f64 1/2 (+.f64 27 (pow.f64 beta 3))) (*.f64 beta beta)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (+.f64 beta 3)))) 1)
(*.f64 1/2 (/.f64 1 (+.f64 beta 3)))
(*.f64 (/.f64 1/2 (+.f64 beta 3)) 1)
(*.f64 1 (/.f64 1/2 (+.f64 beta 3)))
(*.f64 (sqrt.f64 (/.f64 1/2 (+.f64 beta 3))) (sqrt.f64 (/.f64 1/2 (+.f64 beta 3))))
(*.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))) (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))) 2) (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))))
(*.f64 (+.f64 beta -3) (/.f64 1/2 (fma.f64 beta beta -9)))
(*.f64 (/.f64 1 (+.f64 beta 3)) 1/2)
(*.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))) (/.f64 1/2 (+.f64 27 (pow.f64 beta 3))))
(*.f64 -1/2 (/.f64 1 (-.f64 -3 beta)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 3))) (/.f64 1/2 (sqrt.f64 (+.f64 beta 3))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (/.f64 1/2 (cbrt.f64 (+.f64 beta 3))))
(*.f64 (/.f64 1/2 (fma.f64 beta beta -9)) (+.f64 beta -3))
(*.f64 (/.f64 1/2 (+.f64 27 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))))
(*.f64 (/.f64 1 (fma.f64 beta beta -9)) (+.f64 (*.f64 1/2 beta) -3/2))
(*.f64 (/.f64 1 (+.f64 27 (pow.f64 beta 3))) (*.f64 1/2 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(*.f64 (/.f64 1 (-.f64 -3 beta)) -1/2)
(*.f64 (/.f64 1/2 (neg.f64 (fma.f64 beta beta -9))) (neg.f64 (+.f64 beta -3)))
(*.f64 (/.f64 1/2 (neg.f64 (+.f64 27 (pow.f64 beta 3)))) (neg.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(*.f64 (/.f64 -1/2 (neg.f64 (fma.f64 beta beta -9))) (+.f64 beta -3))
(*.f64 (/.f64 -1/2 (neg.f64 (+.f64 27 (pow.f64 beta 3)))) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))))
(*.f64 (/.f64 1/2 (-.f64 9 (*.f64 beta beta))) (-.f64 3 beta))
(*.f64 (/.f64 (/.f64 1/2 (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (fma.f64 beta beta -9))) (sqrt.f64 (+.f64 beta -3)))
(*.f64 (/.f64 (/.f64 1/2 (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 27 (pow.f64 beta 3)))) (sqrt.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(*.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (cbrt.f64 (fma.f64 beta beta -9))) (cbrt.f64 (+.f64 beta -3)))
(*.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (cbrt.f64 (+.f64 27 (pow.f64 beta 3)))) (cbrt.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(pow.f64 (/.f64 1/2 (+.f64 beta 3)) 1)
(pow.f64 (sqrt.f64 (/.f64 1/2 (+.f64 beta 3))) 2)
(pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))) 3)
(pow.f64 (pow.f64 (/.f64 1/2 (+.f64 beta 3)) 3) 1/3)
(pow.f64 (*.f64 (+.f64 beta 3) 2) -1)
(sqrt.f64 (/.f64 1/4 (pow.f64 (+.f64 beta 3) 2)))
(log.f64 (exp.f64 (/.f64 1/2 (+.f64 beta 3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (+.f64 beta 3)))))
(cbrt.f64 (pow.f64 (/.f64 1/2 (+.f64 beta 3)) 3))
(expm1.f64 (log1p.f64 (/.f64 1/2 (+.f64 beta 3))))
(exp.f64 (log.f64 (/.f64 1/2 (+.f64 beta 3))))
(log1p.f64 (expm1.f64 (/.f64 1/2 (+.f64 beta 3))))
Outputs
1/12
(+.f64 1/12 (*.f64 -5/72 beta))
(fma.f64 -5/72 beta 1/12)
(+.f64 1/12 (+.f64 (*.f64 -5/72 beta) (*.f64 19/432 (pow.f64 beta 2))))
(+.f64 1/12 (fma.f64 -5/72 beta (*.f64 19/432 (*.f64 beta beta))))
(+.f64 1/12 (fma.f64 -5/72 beta (*.f64 (*.f64 19/432 beta) beta)))
(+.f64 1/12 (*.f64 beta (+.f64 -5/72 (*.f64 19/432 beta))))
(+.f64 1/12 (+.f64 (*.f64 -5/72 beta) (+.f64 (*.f64 19/432 (pow.f64 beta 2)) (*.f64 -65/2592 (pow.f64 beta 3)))))
(+.f64 1/12 (fma.f64 -5/72 beta (fma.f64 19/432 (*.f64 beta beta) (*.f64 -65/2592 (pow.f64 beta 3)))))
(+.f64 (fma.f64 -5/72 beta 1/12) (fma.f64 -65/2592 (pow.f64 beta 3) (*.f64 (*.f64 19/432 beta) beta)))
(+.f64 (fma.f64 -5/72 beta 1/12) (*.f64 (*.f64 beta beta) (+.f64 19/432 (*.f64 -65/2592 beta))))
(/.f64 1/2 (pow.f64 beta 2))
(/.f64 1/2 (*.f64 beta beta))
(/.f64 (/.f64 1/2 beta) beta)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (*.f64 5/2 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (/.f64 1/2 (*.f64 beta beta)) (/.f64 5/2 (pow.f64 beta 3)))
(+.f64 (/.f64 (/.f64 1/2 beta) beta) (/.f64 -5/2 (pow.f64 beta 3)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (*.f64 19/2 (/.f64 1 (pow.f64 beta 4)))) (*.f64 5/2 (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1/2 (*.f64 beta beta)) (-.f64 (/.f64 19/2 (pow.f64 beta 4)) (/.f64 5/2 (pow.f64 beta 3))))
(+.f64 (/.f64 (/.f64 1/2 beta) beta) (+.f64 (/.f64 19/2 (pow.f64 beta 4)) (/.f64 -5/2 (pow.f64 beta 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (*.f64 19/2 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (*.f64 65/2 (/.f64 1 (pow.f64 beta 5))) (*.f64 5/2 (/.f64 1 (pow.f64 beta 3)))))
(+.f64 (/.f64 1/2 (*.f64 beta beta)) (-.f64 (/.f64 19/2 (pow.f64 beta 4)) (+.f64 (/.f64 5/2 (pow.f64 beta 3)) (/.f64 65/2 (pow.f64 beta 5)))))
(+.f64 (/.f64 (/.f64 1/2 beta) beta) (-.f64 (/.f64 19/2 (pow.f64 beta 4)) (+.f64 (/.f64 5/2 (pow.f64 beta 3)) (/.f64 65/2 (pow.f64 beta 5)))))
(+.f64 (/.f64 19/2 (pow.f64 beta 4)) (-.f64 (+.f64 (/.f64 (/.f64 1/2 beta) beta) (/.f64 -5/2 (pow.f64 beta 3))) (/.f64 65/2 (pow.f64 beta 5))))
(/.f64 1/2 (pow.f64 beta 2))
(/.f64 1/2 (*.f64 beta beta))
(/.f64 (/.f64 1/2 beta) beta)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (*.f64 5/2 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (/.f64 1/2 (*.f64 beta beta)) (/.f64 5/2 (pow.f64 beta 3)))
(+.f64 (/.f64 (/.f64 1/2 beta) beta) (/.f64 -5/2 (pow.f64 beta 3)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (*.f64 19/2 (/.f64 1 (pow.f64 beta 4)))) (*.f64 5/2 (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1/2 (*.f64 beta beta)) (-.f64 (/.f64 19/2 (pow.f64 beta 4)) (/.f64 5/2 (pow.f64 beta 3))))
(+.f64 (/.f64 (/.f64 1/2 beta) beta) (+.f64 (/.f64 19/2 (pow.f64 beta 4)) (/.f64 -5/2 (pow.f64 beta 3))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (*.f64 19/2 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (*.f64 65/2 (/.f64 1 (pow.f64 beta 5))) (*.f64 5/2 (/.f64 1 (pow.f64 beta 3)))))
(+.f64 (/.f64 1/2 (*.f64 beta beta)) (-.f64 (/.f64 19/2 (pow.f64 beta 4)) (+.f64 (/.f64 5/2 (pow.f64 beta 3)) (/.f64 65/2 (pow.f64 beta 5)))))
(+.f64 (/.f64 (/.f64 1/2 beta) beta) (-.f64 (/.f64 19/2 (pow.f64 beta 4)) (+.f64 (/.f64 5/2 (pow.f64 beta 3)) (/.f64 65/2 (pow.f64 beta 5)))))
(+.f64 (/.f64 19/2 (pow.f64 beta 4)) (-.f64 (+.f64 (/.f64 (/.f64 1/2 beta) beta) (/.f64 -5/2 (pow.f64 beta 3))) (/.f64 65/2 (pow.f64 beta 5))))
1/6
(+.f64 (*.f64 -1/18 beta) 1/6)
(fma.f64 -1/18 beta 1/6)
(fma.f64 beta -1/18 1/6)
(+.f64 (*.f64 -1/18 beta) (+.f64 1/6 (*.f64 1/54 (pow.f64 beta 2))))
(+.f64 (fma.f64 -1/18 beta 1/6) (*.f64 1/54 (*.f64 beta beta)))
(fma.f64 beta -1/18 (fma.f64 1/54 (*.f64 beta beta) 1/6))
(+.f64 (*.f64 -1/18 beta) (+.f64 1/6 (+.f64 (*.f64 -1/162 (pow.f64 beta 3)) (*.f64 1/54 (pow.f64 beta 2)))))
(+.f64 (fma.f64 -1/18 beta 1/6) (fma.f64 -1/162 (pow.f64 beta 3) (*.f64 1/54 (*.f64 beta beta))))
(+.f64 (fma.f64 beta -1/18 1/6) (fma.f64 (pow.f64 beta 3) -1/162 (*.f64 beta (*.f64 beta 1/54))))
(+.f64 (fma.f64 beta -1/18 1/6) (*.f64 (*.f64 beta beta) (+.f64 1/54 (*.f64 beta -1/162))))
(/.f64 1/2 beta)
(-.f64 (*.f64 1/2 (/.f64 1 beta)) (*.f64 3/2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (/.f64 1/2 beta) (/.f64 3/2 (*.f64 beta beta)))
(+.f64 (/.f64 1/2 beta) (/.f64 -3/2 (*.f64 beta beta)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) (*.f64 9/2 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3/2 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1/2 beta) (-.f64 (/.f64 9/2 (pow.f64 beta 3)) (/.f64 3/2 (*.f64 beta beta))))
(+.f64 (/.f64 1/2 beta) (+.f64 (/.f64 9/2 (pow.f64 beta 3)) (/.f64 -3/2 (*.f64 beta beta))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) (*.f64 9/2 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 27/2 (/.f64 1 (pow.f64 beta 4))) (*.f64 3/2 (/.f64 1 (pow.f64 beta 2)))))
(+.f64 (/.f64 1/2 beta) (-.f64 (/.f64 9/2 (pow.f64 beta 3)) (+.f64 (/.f64 3/2 (*.f64 beta beta)) (/.f64 27/2 (pow.f64 beta 4)))))
(+.f64 (/.f64 1/2 beta) (-.f64 (-.f64 (/.f64 9/2 (pow.f64 beta 3)) (/.f64 27/2 (pow.f64 beta 4))) (/.f64 3/2 (*.f64 beta beta))))
(+.f64 (/.f64 1/2 beta) (+.f64 (/.f64 9/2 (pow.f64 beta 3)) (-.f64 (/.f64 -3/2 (*.f64 beta beta)) (/.f64 27/2 (pow.f64 beta 4)))))
(/.f64 1/2 beta)
(-.f64 (*.f64 1/2 (/.f64 1 beta)) (*.f64 3/2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (/.f64 1/2 beta) (/.f64 3/2 (*.f64 beta beta)))
(+.f64 (/.f64 1/2 beta) (/.f64 -3/2 (*.f64 beta beta)))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) (*.f64 9/2 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3/2 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1/2 beta) (-.f64 (/.f64 9/2 (pow.f64 beta 3)) (/.f64 3/2 (*.f64 beta beta))))
(+.f64 (/.f64 1/2 beta) (+.f64 (/.f64 9/2 (pow.f64 beta 3)) (/.f64 -3/2 (*.f64 beta beta))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 beta)) (*.f64 9/2 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 27/2 (/.f64 1 (pow.f64 beta 4))) (*.f64 3/2 (/.f64 1 (pow.f64 beta 2)))))
(+.f64 (/.f64 1/2 beta) (-.f64 (/.f64 9/2 (pow.f64 beta 3)) (+.f64 (/.f64 3/2 (*.f64 beta beta)) (/.f64 27/2 (pow.f64 beta 4)))))
(+.f64 (/.f64 1/2 beta) (-.f64 (-.f64 (/.f64 9/2 (pow.f64 beta 3)) (/.f64 27/2 (pow.f64 beta 4))) (/.f64 3/2 (*.f64 beta beta))))
(+.f64 (/.f64 1/2 beta) (+.f64 (/.f64 9/2 (pow.f64 beta 3)) (-.f64 (/.f64 -3/2 (*.f64 beta beta)) (/.f64 27/2 (pow.f64 beta 4)))))
(+.f64 (*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (fma.f64 beta beta -4)) beta) (*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (fma.f64 beta beta -4)) -2))
(*.f64 (/.f64 1/2 (*.f64 (fma.f64 beta beta -4) (+.f64 beta 3))) (+.f64 beta -2))
(*.f64 (/.f64 1/2 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) (+.f64 beta -2))
(+.f64 (*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 beta beta)) (*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (-.f64 4 (*.f64 beta 2))))
(*.f64 (/.f64 1/2 (*.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (/.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(*.f64 (/.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (+.f64 (pow.f64 beta 3) 8)) (/.f64 1/2 (+.f64 beta 3)))
(+.f64 (*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (-.f64 4 (*.f64 beta 2))) (*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 beta beta)))
(*.f64 (/.f64 1/2 (*.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (/.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(*.f64 (/.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (+.f64 (pow.f64 beta 3) 8)) (/.f64 1/2 (+.f64 beta 3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta)))) 1)
(/.f64 -1/2 (*.f64 (+.f64 beta 3) (-.f64 -2 beta)))
(*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(*.f64 (/.f64 1/2 (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2)))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(*.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta)) 1)
(/.f64 -1/2 (*.f64 (+.f64 beta 3) (-.f64 -2 beta)))
(*.f64 1 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta)))
(/.f64 -1/2 (*.f64 (+.f64 beta 3) (-.f64 -2 beta)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta))) (sqrt.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta))))
(/.f64 -1/2 (*.f64 (+.f64 beta 3) (-.f64 -2 beta)))
(*.f64 (sqrt.f64 (/.f64 1/2 (+.f64 beta 3))) (/.f64 (sqrt.f64 (/.f64 1/2 (+.f64 beta 3))) (+.f64 beta 2)))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta))) 2))
(/.f64 -1/2 (*.f64 (+.f64 beta 3) (-.f64 -2 beta)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 -1/2 (*.f64 (+.f64 beta 3) (-.f64 -2 beta)))) (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))) 2)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))
(/.f64 (cbrt.f64 (/.f64 -1/2 (*.f64 (+.f64 beta 3) (-.f64 -2 beta)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))) 2)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 -1/2 (*.f64 (+.f64 beta 3) (-.f64 -2 beta)))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta))) 2) (cbrt.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta))))
(/.f64 -1/2 (*.f64 (+.f64 beta 3) (-.f64 -2 beta)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))) 2) (*.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(*.f64 (+.f64 beta -2) (/.f64 (/.f64 1/2 (+.f64 beta 3)) (fma.f64 beta beta -4)))
(*.f64 (/.f64 1/2 (*.f64 (fma.f64 beta beta -4) (+.f64 beta 3))) (+.f64 beta -2))
(*.f64 (/.f64 1/2 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) (+.f64 beta -2))
(*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1/2 (+.f64 beta 3)))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(*.f64 (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))) (/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))))
(*.f64 (/.f64 1/2 (*.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))
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(/.f64 (/.f64 -1/2 (+.f64 beta 2)) (-.f64 -3 beta))
(/.f64 -1/2 (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))
(*.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (neg.f64 (fma.f64 beta beta -4))) (+.f64 beta -2))
(*.f64 (+.f64 beta -2) (/.f64 -1/2 (*.f64 (neg.f64 (fma.f64 beta beta -4)) (+.f64 beta 3))))
(*.f64 (+.f64 beta -2) (/.f64 -1/2 (*.f64 (+.f64 beta 3) (-.f64 4 (*.f64 beta beta)))))
(*.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (neg.f64 (+.f64 8 (pow.f64 beta 3)))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))
(*.f64 (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))) (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (+.f64 -8 (neg.f64 (pow.f64 beta 3)))))
(*.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (/.f64 -1/2 (*.f64 (+.f64 beta 3) (-.f64 -8 (pow.f64 beta 3)))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) -1/2) (neg.f64 (fma.f64 beta beta -9))) (+.f64 beta -3))
(/.f64 (*.f64 1/2 (+.f64 beta -3)) (*.f64 (+.f64 beta 2) (fma.f64 beta beta -9)))
(/.f64 (/.f64 (fma.f64 beta 1/2 -3/2) (+.f64 beta 2)) (fma.f64 beta beta -9))
(*.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) -1/2) (neg.f64 (+.f64 27 (pow.f64 beta 3)))) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))))
(*.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))) (/.f64 1/2 (*.f64 (+.f64 beta 2) (+.f64 (pow.f64 beta 3) 27))))
(*.f64 (/.f64 1/2 (+.f64 beta 2)) (/.f64 (fma.f64 beta beta (+.f64 9 (*.f64 beta -3))) (+.f64 (pow.f64 beta 3) 27)))
(*.f64 (/.f64 1/2 (*.f64 (+.f64 beta 2) (-.f64 -27 (pow.f64 beta 3)))) (+.f64 -9 (*.f64 beta (-.f64 3 beta))))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 2)) (neg.f64 (fma.f64 beta beta -9))) (neg.f64 (+.f64 beta -3)))
(/.f64 (*.f64 1/2 (+.f64 beta -3)) (*.f64 (+.f64 beta 2) (fma.f64 beta beta -9)))
(/.f64 (/.f64 (fma.f64 beta 1/2 -3/2) (+.f64 beta 2)) (fma.f64 beta beta -9))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 2)) (neg.f64 (+.f64 27 (pow.f64 beta 3)))) (neg.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(*.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))) (/.f64 1/2 (*.f64 (+.f64 beta 2) (+.f64 (pow.f64 beta 3) 27))))
(*.f64 (/.f64 1/2 (+.f64 beta 2)) (/.f64 (fma.f64 beta beta (+.f64 9 (*.f64 beta -3))) (+.f64 (pow.f64 beta 3) 27)))
(*.f64 (/.f64 1/2 (*.f64 (+.f64 beta 2) (-.f64 -27 (pow.f64 beta 3)))) (+.f64 -9 (*.f64 beta (-.f64 3 beta))))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 2)) (-.f64 9 (*.f64 beta beta))) (-.f64 3 beta))
(/.f64 (*.f64 1/2 (+.f64 beta -3)) (*.f64 (+.f64 beta 2) (fma.f64 beta beta -9)))
(/.f64 (/.f64 (fma.f64 beta 1/2 -3/2) (+.f64 beta 2)) (fma.f64 beta beta -9))
(*.f64 (/.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (fma.f64 beta beta -4))) (sqrt.f64 (+.f64 beta -2)))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (*.f64 (sqrt.f64 (fma.f64 beta beta -4)) (sqrt.f64 (+.f64 beta 2)))) (sqrt.f64 (+.f64 beta -2)))
(*.f64 (/.f64 1/2 (*.f64 (sqrt.f64 (fma.f64 beta beta -4)) (*.f64 (+.f64 beta 3) (sqrt.f64 (+.f64 beta 2))))) (sqrt.f64 (+.f64 beta -2)))
(*.f64 (/.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 8 (pow.f64 beta 3)))) (sqrt.f64 (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 beta 3) 8)) (sqrt.f64 (+.f64 beta 2)))) (sqrt.f64 (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))))
(*.f64 (/.f64 1/2 (*.f64 (*.f64 (sqrt.f64 (+.f64 beta 2)) (sqrt.f64 (+.f64 (pow.f64 beta 3) 8))) (+.f64 beta 3))) (sqrt.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(*.f64 (/.f64 (/.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 3))) (cbrt.f64 (fma.f64 beta beta -4))) (cbrt.f64 (+.f64 beta -2)))
(*.f64 (/.f64 1/2 (*.f64 (cbrt.f64 (fma.f64 beta beta -4)) (*.f64 (+.f64 beta 3) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))) (cbrt.f64 (+.f64 beta -2)))
(*.f64 (/.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (fma.f64 beta beta -4))) (cbrt.f64 (+.f64 beta -2)))
(*.f64 (/.f64 (/.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 3))) (cbrt.f64 (+.f64 8 (pow.f64 beta 3)))) (cbrt.f64 (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))))
(*.f64 (/.f64 1/2 (*.f64 (cbrt.f64 (+.f64 (pow.f64 beta 3) 8)) (*.f64 (+.f64 beta 3) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))) (cbrt.f64 (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))))
(/.f64 (/.f64 (/.f64 1/2 (+.f64 beta 3)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 beta 3) 8)) (cbrt.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))))))
(pow.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta)) 1)
(/.f64 -1/2 (*.f64 (+.f64 beta 3) (-.f64 -2 beta)))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta))) 2)
(/.f64 -1/2 (*.f64 (+.f64 beta 3) (-.f64 -2 beta)))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta))) 3)
(/.f64 -1/2 (*.f64 (+.f64 beta 3) (-.f64 -2 beta)))
(pow.f64 (pow.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta)) 3) 1/3)
(/.f64 -1/2 (*.f64 (+.f64 beta 3) (-.f64 -2 beta)))
(pow.f64 (*.f64 (+.f64 beta 3) (/.f64 (+.f64 beta 2) 1/2)) -1)
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(neg.f64 (/.f64 1/2 (*.f64 (-.f64 -2 beta) (+.f64 beta 3))))
(/.f64 -1/2 (*.f64 (+.f64 beta 3) (-.f64 -2 beta)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta)) 2))
(sqrt.f64 (pow.f64 (/.f64 -1/2 (*.f64 (+.f64 beta 3) (-.f64 -2 beta))) 2))
(fabs.f64 (/.f64 -1/2 (*.f64 (+.f64 beta 3) (-.f64 -2 beta))))
(log.f64 (exp.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta))))
(/.f64 -1/2 (*.f64 (+.f64 beta 3) (-.f64 -2 beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta)))))
(/.f64 -1/2 (*.f64 (+.f64 beta 3) (-.f64 -2 beta)))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta)) 3))
(/.f64 -1/2 (*.f64 (+.f64 beta 3) (-.f64 -2 beta)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1/2 (+.f64 beta 3)) 3) (pow.f64 (+.f64 beta 2) 3)))
(cbrt.f64 (/.f64 (/.f64 1/8 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (+.f64 beta 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta))))
(/.f64 -1/2 (*.f64 (+.f64 beta 3) (-.f64 -2 beta)))
(exp.f64 (log.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta))))
(/.f64 -1/2 (*.f64 (+.f64 beta 3) (-.f64 -2 beta)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 -1/2 (+.f64 beta 3)) (-.f64 -2 beta))))
(/.f64 -1/2 (*.f64 (+.f64 beta 3) (-.f64 -2 beta)))
(+.f64 (*.f64 (/.f64 1/2 (fma.f64 beta beta -9)) beta) (*.f64 (/.f64 1/2 (fma.f64 beta beta -9)) -3))
(/.f64 (*.f64 (+.f64 beta -3) 1/2) (fma.f64 beta beta -9))
(/.f64 (fma.f64 beta 1/2 -3/2) (fma.f64 beta beta -9))
(+.f64 (*.f64 (/.f64 1/2 (+.f64 27 (pow.f64 beta 3))) (*.f64 beta beta)) (*.f64 (/.f64 1/2 (+.f64 27 (pow.f64 beta 3))) (-.f64 9 (*.f64 beta 3))))
(*.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))) (/.f64 1/2 (+.f64 (pow.f64 beta 3) 27)))
(*.f64 1/2 (/.f64 (fma.f64 beta beta (+.f64 9 (*.f64 beta -3))) (+.f64 (pow.f64 beta 3) 27)))
(*.f64 (+.f64 -9 (*.f64 beta (-.f64 3 beta))) (/.f64 1/2 (-.f64 -27 (pow.f64 beta 3))))
(+.f64 (*.f64 (/.f64 1/2 (+.f64 27 (pow.f64 beta 3))) (-.f64 9 (*.f64 beta 3))) (*.f64 (/.f64 1/2 (+.f64 27 (pow.f64 beta 3))) (*.f64 beta beta)))
(*.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))) (/.f64 1/2 (+.f64 (pow.f64 beta 3) 27)))
(*.f64 1/2 (/.f64 (fma.f64 beta beta (+.f64 9 (*.f64 beta -3))) (+.f64 (pow.f64 beta 3) 27)))
(*.f64 (+.f64 -9 (*.f64 beta (-.f64 3 beta))) (/.f64 1/2 (-.f64 -27 (pow.f64 beta 3))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (+.f64 beta 3)))) 1)
(/.f64 1/2 (+.f64 beta 3))
(*.f64 1/2 (/.f64 1 (+.f64 beta 3)))
(/.f64 1/2 (+.f64 beta 3))
(*.f64 (/.f64 1/2 (+.f64 beta 3)) 1)
(/.f64 1/2 (+.f64 beta 3))
(*.f64 1 (/.f64 1/2 (+.f64 beta 3)))
(/.f64 1/2 (+.f64 beta 3))
(*.f64 (sqrt.f64 (/.f64 1/2 (+.f64 beta 3))) (sqrt.f64 (/.f64 1/2 (+.f64 beta 3))))
(/.f64 1/2 (+.f64 beta 3))
(*.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))) (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))) 2))
(/.f64 1/2 (+.f64 beta 3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))) 2) (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))))
(/.f64 1/2 (+.f64 beta 3))
(*.f64 (+.f64 beta -3) (/.f64 1/2 (fma.f64 beta beta -9)))
(/.f64 (*.f64 (+.f64 beta -3) 1/2) (fma.f64 beta beta -9))
(/.f64 (fma.f64 beta 1/2 -3/2) (fma.f64 beta beta -9))
(*.f64 (/.f64 1 (+.f64 beta 3)) 1/2)
(/.f64 1/2 (+.f64 beta 3))
(*.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))) (/.f64 1/2 (+.f64 27 (pow.f64 beta 3))))
(*.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))) (/.f64 1/2 (+.f64 (pow.f64 beta 3) 27)))
(*.f64 1/2 (/.f64 (fma.f64 beta beta (+.f64 9 (*.f64 beta -3))) (+.f64 (pow.f64 beta 3) 27)))
(*.f64 (+.f64 -9 (*.f64 beta (-.f64 3 beta))) (/.f64 1/2 (-.f64 -27 (pow.f64 beta 3))))
(*.f64 -1/2 (/.f64 1 (-.f64 -3 beta)))
(/.f64 -1/2 (-.f64 -3 beta))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 3))) (/.f64 1/2 (sqrt.f64 (+.f64 beta 3))))
(*.f64 (/.f64 1/2 (sqrt.f64 (+.f64 beta 3))) (/.f64 1 (sqrt.f64 (+.f64 beta 3))))
(/.f64 (/.f64 1/2 (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)))
(/.f64 1/2 (*.f64 (sqrt.f64 (+.f64 beta 3)) (sqrt.f64 (+.f64 beta 3))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (/.f64 1/2 (cbrt.f64 (+.f64 beta 3))))
(*.f64 (/.f64 1/2 (cbrt.f64 (+.f64 beta 3))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)))
(/.f64 (/.f64 1/2 (cbrt.f64 (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2))
(/.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) (cbrt.f64 (+.f64 beta 3))))
(*.f64 (/.f64 1/2 (fma.f64 beta beta -9)) (+.f64 beta -3))
(/.f64 (*.f64 (+.f64 beta -3) 1/2) (fma.f64 beta beta -9))
(/.f64 (fma.f64 beta 1/2 -3/2) (fma.f64 beta beta -9))
(*.f64 (/.f64 1/2 (+.f64 27 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))))
(*.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))) (/.f64 1/2 (+.f64 (pow.f64 beta 3) 27)))
(*.f64 1/2 (/.f64 (fma.f64 beta beta (+.f64 9 (*.f64 beta -3))) (+.f64 (pow.f64 beta 3) 27)))
(*.f64 (+.f64 -9 (*.f64 beta (-.f64 3 beta))) (/.f64 1/2 (-.f64 -27 (pow.f64 beta 3))))
(*.f64 (/.f64 1 (fma.f64 beta beta -9)) (+.f64 (*.f64 1/2 beta) -3/2))
(/.f64 (*.f64 (+.f64 beta -3) 1/2) (fma.f64 beta beta -9))
(/.f64 (fma.f64 beta 1/2 -3/2) (fma.f64 beta beta -9))
(*.f64 (/.f64 1 (+.f64 27 (pow.f64 beta 3))) (*.f64 1/2 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(*.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))) (/.f64 1/2 (+.f64 (pow.f64 beta 3) 27)))
(*.f64 1/2 (/.f64 (fma.f64 beta beta (+.f64 9 (*.f64 beta -3))) (+.f64 (pow.f64 beta 3) 27)))
(*.f64 (+.f64 -9 (*.f64 beta (-.f64 3 beta))) (/.f64 1/2 (-.f64 -27 (pow.f64 beta 3))))
(*.f64 (/.f64 1 (-.f64 -3 beta)) -1/2)
(/.f64 -1/2 (-.f64 -3 beta))
(*.f64 (/.f64 1/2 (neg.f64 (fma.f64 beta beta -9))) (neg.f64 (+.f64 beta -3)))
(/.f64 (*.f64 (+.f64 beta -3) 1/2) (fma.f64 beta beta -9))
(/.f64 (fma.f64 beta 1/2 -3/2) (fma.f64 beta beta -9))
(*.f64 (/.f64 1/2 (neg.f64 (+.f64 27 (pow.f64 beta 3)))) (neg.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(*.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))) (/.f64 1/2 (+.f64 (pow.f64 beta 3) 27)))
(*.f64 1/2 (/.f64 (fma.f64 beta beta (+.f64 9 (*.f64 beta -3))) (+.f64 (pow.f64 beta 3) 27)))
(*.f64 (+.f64 -9 (*.f64 beta (-.f64 3 beta))) (/.f64 1/2 (-.f64 -27 (pow.f64 beta 3))))
(*.f64 (/.f64 -1/2 (neg.f64 (fma.f64 beta beta -9))) (+.f64 beta -3))
(/.f64 (*.f64 (+.f64 beta -3) 1/2) (fma.f64 beta beta -9))
(/.f64 (fma.f64 beta 1/2 -3/2) (fma.f64 beta beta -9))
(*.f64 (/.f64 -1/2 (neg.f64 (+.f64 27 (pow.f64 beta 3)))) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))))
(*.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))) (/.f64 1/2 (+.f64 (pow.f64 beta 3) 27)))
(*.f64 1/2 (/.f64 (fma.f64 beta beta (+.f64 9 (*.f64 beta -3))) (+.f64 (pow.f64 beta 3) 27)))
(*.f64 (+.f64 -9 (*.f64 beta (-.f64 3 beta))) (/.f64 1/2 (-.f64 -27 (pow.f64 beta 3))))
(*.f64 (/.f64 1/2 (-.f64 9 (*.f64 beta beta))) (-.f64 3 beta))
(/.f64 (*.f64 (+.f64 beta -3) 1/2) (fma.f64 beta beta -9))
(/.f64 (fma.f64 beta 1/2 -3/2) (fma.f64 beta beta -9))
(*.f64 (/.f64 (/.f64 1/2 (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (fma.f64 beta beta -9))) (sqrt.f64 (+.f64 beta -3)))
(*.f64 (/.f64 1/2 (*.f64 (sqrt.f64 (fma.f64 beta beta -9)) (sqrt.f64 (+.f64 beta 3)))) (sqrt.f64 (+.f64 beta -3)))
(*.f64 (/.f64 (/.f64 1/2 (sqrt.f64 (fma.f64 beta beta -9))) (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta -3)))
(*.f64 (/.f64 (/.f64 1/2 (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 27 (pow.f64 beta 3)))) (sqrt.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(*.f64 (/.f64 (/.f64 1/2 (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 (pow.f64 beta 3) 27))) (sqrt.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(*.f64 (/.f64 1/2 (*.f64 (sqrt.f64 (+.f64 beta 3)) (sqrt.f64 (+.f64 (pow.f64 beta 3) 27)))) (sqrt.f64 (fma.f64 beta beta (+.f64 9 (*.f64 beta -3)))))
(*.f64 (/.f64 1/2 (*.f64 (sqrt.f64 (+.f64 beta 3)) (sqrt.f64 (+.f64 (pow.f64 beta 3) 27)))) (sqrt.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3)))))
(*.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (cbrt.f64 (fma.f64 beta beta -9))) (cbrt.f64 (+.f64 beta -3)))
(*.f64 (/.f64 1/2 (*.f64 (cbrt.f64 (fma.f64 beta beta -9)) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2))) (cbrt.f64 (+.f64 beta -3)))
(*.f64 (/.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) (cbrt.f64 (fma.f64 beta beta -9)))) (cbrt.f64 (+.f64 beta -3)))
(*.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (cbrt.f64 (+.f64 27 (pow.f64 beta 3)))) (cbrt.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(*.f64 (/.f64 1/2 (*.f64 (cbrt.f64 (+.f64 (pow.f64 beta 3) 27)) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2))) (cbrt.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(*.f64 (/.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) (cbrt.f64 (+.f64 (pow.f64 beta 3) 27)))) (cbrt.f64 (fma.f64 beta beta (+.f64 9 (*.f64 beta -3)))))
(*.f64 (/.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) (cbrt.f64 (+.f64 (pow.f64 beta 3) 27)))) (cbrt.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3)))))
(pow.f64 (/.f64 1/2 (+.f64 beta 3)) 1)
(/.f64 1/2 (+.f64 beta 3))
(pow.f64 (sqrt.f64 (/.f64 1/2 (+.f64 beta 3))) 2)
(/.f64 1/2 (+.f64 beta 3))
(pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 3))) 3)
(/.f64 1/2 (+.f64 beta 3))
(pow.f64 (pow.f64 (/.f64 1/2 (+.f64 beta 3)) 3) 1/3)
(/.f64 1/2 (+.f64 beta 3))
(pow.f64 (*.f64 (+.f64 beta 3) 2) -1)
(/.f64 1/2 (+.f64 beta 3))
(sqrt.f64 (/.f64 1/4 (pow.f64 (+.f64 beta 3) 2)))
(log.f64 (exp.f64 (/.f64 1/2 (+.f64 beta 3))))
(/.f64 1/2 (+.f64 beta 3))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (+.f64 beta 3)))))
(/.f64 1/2 (+.f64 beta 3))
(cbrt.f64 (pow.f64 (/.f64 1/2 (+.f64 beta 3)) 3))
(/.f64 1/2 (+.f64 beta 3))
(expm1.f64 (log1p.f64 (/.f64 1/2 (+.f64 beta 3))))
(/.f64 1/2 (+.f64 beta 3))
(exp.f64 (log.f64 (/.f64 1/2 (+.f64 beta 3))))
(/.f64 1/2 (+.f64 beta 3))
(log1p.f64 (expm1.f64 (/.f64 1/2 (+.f64 beta 3))))
(/.f64 1/2 (+.f64 beta 3))

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
0.0b
(/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha)))
Compiler

Compiled 51 to 37 computations (27.5% saved)

series51.0ms (0.3%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
47.0ms
beta
@0
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
1.0ms
alpha
@0
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
1.0ms
alpha
@-inf
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
1.0ms
alpha
@inf
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
1.0ms
beta
@inf
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))

rewrite101.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1794×associate-/r/
1474×associate-/l/
354×add-sqr-sqrt
344×pow1
344×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01568
134760
2497060
Stop Event
node limit
Counts
2 → 152
Calls
Call 1
Inputs
(/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
Outputs
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simplify125.0ms (0.6%)

Algorithm
egg-herbie
Rules
1074×distribute-lft-in
1016×*-commutative
1002×distribute-rgt-in
946×associate-*r*
910×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061212712
1213212312
Stop Event
node limit
Counts
188 → 341
Calls
Call 1
Inputs
1/4
(+.f64 (*.f64 1/8 alpha) 1/4)
(+.f64 (*.f64 1/8 alpha) (+.f64 1/4 (*.f64 -1/16 (pow.f64 alpha 2))))
(+.f64 (*.f64 1/8 alpha) (+.f64 1/4 (+.f64 (*.f64 1/32 (pow.f64 alpha 3)) (*.f64 -1/16 (pow.f64 alpha 2)))))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 alpha)))
(-.f64 (+.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))
(-.f64 (+.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/2 (/.f64 1 alpha))))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 alpha)))
(-.f64 (+.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))
(-.f64 (+.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/2 (/.f64 1 alpha))))
(/.f64 1/4 (+.f64 beta 3))
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 beta 3))) (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 beta 3))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 2 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2)))) alpha))
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 beta 3))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 beta 3))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 2 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2)))) alpha) (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (+.f64 4 (*.f64 2 (+.f64 beta 3))) (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 beta 3))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 2 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3))) (*.f64 1/8 (/.f64 1 (pow.f64 (+.f64 beta 3) 2))))))))
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 beta 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 beta 3))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 2 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2)))) (+.f64 beta 3))) (*.f64 -1/4 (/.f64 (*.f64 (+.f64 4 (*.f64 2 (+.f64 beta 3))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (+.f64 4 (*.f64 2 (+.f64 beta 3))) (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 beta 3))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 2 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3))) (*.f64 1/8 (/.f64 1 (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3)))) (pow.f64 alpha 3))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 beta 3))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 2 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2)))) alpha) (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (+.f64 4 (*.f64 2 (+.f64 beta 3))) (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 beta 3))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 2 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3))) (*.f64 1/8 (/.f64 1 (pow.f64 (+.f64 beta 3) 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 4 (*.f64 2 (+.f64 beta 3))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta (+.f64 3 (*.f64 1/2 (*.f64 (+.f64 4 (*.f64 2 (+.f64 beta 3))) (-.f64 1/2 (*.f64 1/4 (+.f64 4 (*.f64 2 (+.f64 beta 3))))))))) (pow.f64 alpha 3))) (*.f64 1/2 (/.f64 1 alpha)))) (*.f64 1/4 (/.f64 (+.f64 4 (*.f64 2 (+.f64 beta 3))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 beta 3) (-.f64 1/2 (*.f64 1/4 (+.f64 4 (*.f64 2 (+.f64 beta 3))))))) (*.f64 -1/2 (*.f64 (+.f64 4 (*.f64 2 (+.f64 beta 3))) (+.f64 beta (+.f64 3 (*.f64 1/2 (*.f64 (+.f64 4 (*.f64 2 (+.f64 beta 3))) (-.f64 1/2 (*.f64 1/4 (+.f64 4 (*.f64 2 (+.f64 beta 3)))))))))))) (pow.f64 alpha 4))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta (+.f64 3 (*.f64 1/2 (*.f64 (+.f64 4 (*.f64 2 (+.f64 beta 3))) (-.f64 1/2 (*.f64 1/4 (+.f64 4 (*.f64 2 (+.f64 beta 3))))))))) (pow.f64 alpha 3))) (*.f64 1/2 (/.f64 1 alpha))))) (*.f64 1/4 (/.f64 (+.f64 4 (*.f64 2 (+.f64 beta 3))) (pow.f64 alpha 2))))
(/.f64 1/2 alpha)
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(*.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4))) 2))) (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4))))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 16 (*.f64 4 (*.f64 alpha alpha))))) (+.f64 4 (*.f64 -2 alpha)))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 64 (*.f64 8 (pow.f64 alpha 3))))) (+.f64 16 (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) 4))))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) (-.f64 16 (*.f64 4 (*.f64 alpha alpha))))) (*.f64 (-.f64 alpha (+.f64 beta 3)) (+.f64 4 (*.f64 -2 alpha))))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) (+.f64 64 (*.f64 8 (pow.f64 alpha 3))))) (*.f64 (-.f64 alpha (+.f64 beta 3)) (+.f64 16 (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) 4)))))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) (-.f64 16 (*.f64 4 (*.f64 alpha alpha))))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))) (+.f64 4 (*.f64 -2 alpha))))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) (+.f64 64 (*.f64 8 (pow.f64 alpha 3))))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))) (+.f64 16 (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) 4)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4)) (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (neg.f64 (-.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4)) (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4)) (-.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha alpha))) (-.f64 (+.f64 beta 3) alpha))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4)) (-.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 9)) (+.f64 alpha (+.f64 beta -3)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4)) (+.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 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (+.f64 alpha 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3)))) (cbrt.f64 (+.f64 alpha 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4))) 2) (+.f64 alpha (+.f64 beta 3))) (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4))))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) 1) (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4)))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (fma.f64 alpha 2 4)) (+.f64 alpha 1))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (sqrt.f64 (fma.f64 alpha 2 4))) (/.f64 (+.f64 alpha 1) (sqrt.f64 (fma.f64 alpha 2 4))))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 4)) 2)) (/.f64 (+.f64 alpha 1) (cbrt.f64 (fma.f64 alpha 2 4))))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (-.f64 16 (*.f64 4 (*.f64 alpha alpha)))) (*.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 -2 alpha))))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (+.f64 64 (*.f64 8 (pow.f64 alpha 3)))) (*.f64 (+.f64 alpha 1) (+.f64 16 (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) 4)))))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (-.f64 -4 (*.f64 alpha 2))) (-.f64 -1 alpha))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 (fma.f64 alpha 2 4) (sqrt.f64 (+.f64 alpha 1)))) (sqrt.f64 (+.f64 alpha 1)))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 (fma.f64 alpha 2 4) (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2))) (cbrt.f64 (+.f64 alpha 1)))
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (fma.f64 alpha 2 4)) (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (-.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (fma.f64 alpha 2 4)) (neg.f64 (+.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 (*.f64 (+.f64 alpha 1) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))) 1) (/.f64 (+.f64 4 (*.f64 -2 alpha)) (-.f64 16 (*.f64 4 (*.f64 alpha alpha)))))
(*.f64 (/.f64 (*.f64 (+.f64 alpha 1) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))) 1) (/.f64 (+.f64 16 (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) 4))) (+.f64 64 (*.f64 8 (pow.f64 alpha 3)))))
(*.f64 (/.f64 (*.f64 (+.f64 alpha 1) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))) (-.f64 16 (*.f64 4 (*.f64 alpha alpha)))) (+.f64 4 (*.f64 -2 alpha)))
(*.f64 (/.f64 (*.f64 (+.f64 alpha 1) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))) (+.f64 64 (*.f64 8 (pow.f64 alpha 3)))) (+.f64 16 (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) 4))))
(*.f64 (/.f64 (*.f64 (+.f64 alpha 1) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))) (neg.f64 (-.f64 16 (*.f64 4 (*.f64 alpha alpha))))) (neg.f64 (+.f64 4 (*.f64 -2 alpha))))
(*.f64 (/.f64 (*.f64 (+.f64 alpha 1) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))) (neg.f64 (+.f64 64 (*.f64 8 (pow.f64 alpha 3))))) (neg.f64 (+.f64 16 (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) 4)))))
(*.f64 (/.f64 (*.f64 (+.f64 alpha 1) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))) (-.f64 (*.f64 4 (*.f64 alpha alpha)) 16)) (-.f64 (*.f64 alpha 2) 4))
(*.f64 (/.f64 (*.f64 (-.f64 -1 alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))) (neg.f64 (-.f64 16 (*.f64 4 (*.f64 alpha alpha))))) (+.f64 4 (*.f64 -2 alpha)))
(*.f64 (/.f64 (*.f64 (-.f64 -1 alpha) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))) (neg.f64 (+.f64 64 (*.f64 8 (pow.f64 alpha 3))))) (+.f64 16 (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) 4))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 1) (/.f64 (+.f64 4 (*.f64 -2 alpha)) (-.f64 16 (*.f64 4 (*.f64 alpha alpha)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 1) (/.f64 (+.f64 16 (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) 4))) (+.f64 64 (*.f64 8 (pow.f64 alpha 3)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (-.f64 16 (*.f64 4 (*.f64 alpha alpha)))) (+.f64 4 (*.f64 -2 alpha)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 64 (*.f64 8 (pow.f64 alpha 3)))) (+.f64 16 (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) 4))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (neg.f64 (-.f64 16 (*.f64 4 (*.f64 alpha alpha))))) (neg.f64 (+.f64 4 (*.f64 -2 alpha))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (neg.f64 (+.f64 64 (*.f64 8 (pow.f64 alpha 3))))) (neg.f64 (+.f64 16 (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) 4)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (-.f64 (*.f64 4 (*.f64 alpha alpha)) 16)) (-.f64 (*.f64 alpha 2) 4))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (fma.f64 alpha 2 4))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (sqrt.f64 (-.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (fma.f64 alpha 2 4))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2) (fma.f64 alpha 2 4))) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (cbrt.f64 (-.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2) (fma.f64 alpha 2 4))) (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))
(pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3))))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3)))) 3) 1/3)
(pow.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 1)) (fma.f64 alpha 2 4)) -1)
(neg.f64 (/.f64 (+.f64 alpha 1) (*.f64 (-.f64 -3 (+.f64 alpha beta)) (fma.f64 alpha 2 4))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3)))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3)))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4)) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3))))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3))))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3))))))
Outputs
1/4
(+.f64 (*.f64 1/8 alpha) 1/4)
(fma.f64 1/8 alpha 1/4)
(+.f64 (*.f64 1/8 alpha) (+.f64 1/4 (*.f64 -1/16 (pow.f64 alpha 2))))
(+.f64 (fma.f64 1/8 alpha 1/4) (*.f64 -1/16 (*.f64 alpha alpha)))
(+.f64 (fma.f64 1/8 alpha 1/4) (*.f64 alpha (*.f64 alpha -1/16)))
(+.f64 (*.f64 1/8 alpha) (+.f64 1/4 (+.f64 (*.f64 1/32 (pow.f64 alpha 3)) (*.f64 -1/16 (pow.f64 alpha 2)))))
(+.f64 (fma.f64 1/8 alpha 1/4) (fma.f64 1/32 (pow.f64 alpha 3) (*.f64 -1/16 (*.f64 alpha alpha))))
(+.f64 (fma.f64 1/8 alpha 1/4) (fma.f64 1/32 (pow.f64 alpha 3) (*.f64 alpha (*.f64 alpha -1/16))))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 alpha)))
(-.f64 1/2 (/.f64 1/2 alpha))
(+.f64 1/2 (/.f64 -1/2 alpha))
(-.f64 (+.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))
(+.f64 1/2 (-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1/2 alpha)))
(-.f64 (+.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/2 (/.f64 1 alpha))))
(+.f64 1/2 (-.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 1/2 alpha) (/.f64 2 (pow.f64 alpha 3)))))
(+.f64 1/2 (-.f64 (-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1/2 alpha)) (/.f64 2 (pow.f64 alpha 3))))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 alpha)))
(-.f64 1/2 (/.f64 1/2 alpha))
(+.f64 1/2 (/.f64 -1/2 alpha))
(-.f64 (+.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))
(+.f64 1/2 (-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1/2 alpha)))
(-.f64 (+.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 3))) (*.f64 1/2 (/.f64 1 alpha))))
(+.f64 1/2 (-.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 1/2 alpha) (/.f64 2 (pow.f64 alpha 3)))))
(+.f64 1/2 (-.f64 (-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1/2 alpha)) (/.f64 2 (pow.f64 alpha 3))))
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1/4 (+.f64 3 beta))
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 beta 3))) (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 beta 3))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 2 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2)))) alpha))
(+.f64 (/.f64 1/4 (+.f64 3 beta)) (*.f64 alpha (-.f64 (/.f64 1/4 (+.f64 3 beta)) (*.f64 1/16 (/.f64 (+.f64 4 (+.f64 (*.f64 2 beta) 6)) (pow.f64 (+.f64 3 beta) 2))))))
(+.f64 (/.f64 1/4 (+.f64 3 beta)) (*.f64 alpha (+.f64 (/.f64 1/4 (+.f64 3 beta)) (*.f64 -1/16 (/.f64 (+.f64 (*.f64 2 beta) 10) (pow.f64 (+.f64 3 beta) 2))))))
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 beta 3))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 beta 3))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 2 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2)))) alpha) (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (+.f64 4 (*.f64 2 (+.f64 beta 3))) (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 beta 3))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 2 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3))) (*.f64 1/8 (/.f64 1 (pow.f64 (+.f64 beta 3) 2))))))))
(+.f64 (/.f64 1/4 (+.f64 3 beta)) (fma.f64 (-.f64 (/.f64 1/4 (+.f64 3 beta)) (*.f64 1/16 (/.f64 (+.f64 4 (+.f64 (*.f64 2 beta) 6)) (pow.f64 (+.f64 3 beta) 2)))) alpha (neg.f64 (*.f64 (fma.f64 1/4 (/.f64 (+.f64 4 (+.f64 (*.f64 2 beta) 6)) (/.f64 (+.f64 3 beta) (-.f64 (/.f64 1/4 (+.f64 3 beta)) (*.f64 1/16 (/.f64 (+.f64 4 (+.f64 (*.f64 2 beta) 6)) (pow.f64 (+.f64 3 beta) 2)))))) (/.f64 1/8 (pow.f64 (+.f64 3 beta) 2))) (*.f64 alpha alpha)))))
(+.f64 (/.f64 1/4 (+.f64 3 beta)) (fma.f64 (+.f64 (/.f64 1/4 (+.f64 3 beta)) (*.f64 -1/16 (/.f64 (+.f64 (*.f64 2 beta) 10) (pow.f64 (+.f64 3 beta) 2)))) alpha (neg.f64 (*.f64 alpha (*.f64 alpha (fma.f64 1/4 (*.f64 (/.f64 (+.f64 (*.f64 2 beta) 10) (+.f64 3 beta)) (+.f64 (/.f64 1/4 (+.f64 3 beta)) (*.f64 -1/16 (/.f64 (+.f64 (*.f64 2 beta) 10) (pow.f64 (+.f64 3 beta) 2))))) (/.f64 1/8 (pow.f64 (+.f64 3 beta) 2))))))))
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 beta 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 beta 3))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 2 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2)))) (+.f64 beta 3))) (*.f64 -1/4 (/.f64 (*.f64 (+.f64 4 (*.f64 2 (+.f64 beta 3))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (+.f64 4 (*.f64 2 (+.f64 beta 3))) (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 beta 3))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 2 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3))) (*.f64 1/8 (/.f64 1 (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3)))) (pow.f64 alpha 3))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 beta 3))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 2 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2)))) alpha) (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (+.f64 4 (*.f64 2 (+.f64 beta 3))) (-.f64 (*.f64 1/4 (/.f64 1 (+.f64 beta 3))) (*.f64 1/16 (/.f64 (+.f64 4 (*.f64 2 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3))) (*.f64 1/8 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)))))))))
(+.f64 (/.f64 1/4 (+.f64 3 beta)) (fma.f64 -1 (*.f64 (pow.f64 alpha 3) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 1/4 (+.f64 3 beta)) (*.f64 1/16 (/.f64 (+.f64 4 (+.f64 (*.f64 2 beta) 6)) (pow.f64 (+.f64 3 beta) 2)))) (+.f64 3 beta)) (*.f64 -1/4 (/.f64 (+.f64 4 (+.f64 (*.f64 2 beta) 6)) (/.f64 (+.f64 3 beta) (fma.f64 1/4 (/.f64 (+.f64 4 (+.f64 (*.f64 2 beta) 6)) (/.f64 (+.f64 3 beta) (-.f64 (/.f64 1/4 (+.f64 3 beta)) (*.f64 1/16 (/.f64 (+.f64 4 (+.f64 (*.f64 2 beta) 6)) (pow.f64 (+.f64 3 beta) 2)))))) (/.f64 1/8 (pow.f64 (+.f64 3 beta) 2)))))))) (fma.f64 (-.f64 (/.f64 1/4 (+.f64 3 beta)) (*.f64 1/16 (/.f64 (+.f64 4 (+.f64 (*.f64 2 beta) 6)) (pow.f64 (+.f64 3 beta) 2)))) alpha (neg.f64 (*.f64 (fma.f64 1/4 (/.f64 (+.f64 4 (+.f64 (*.f64 2 beta) 6)) (/.f64 (+.f64 3 beta) (-.f64 (/.f64 1/4 (+.f64 3 beta)) (*.f64 1/16 (/.f64 (+.f64 4 (+.f64 (*.f64 2 beta) 6)) (pow.f64 (+.f64 3 beta) 2)))))) (/.f64 1/8 (pow.f64 (+.f64 3 beta) 2))) (*.f64 alpha alpha))))))
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(/.f64 1/2 alpha)
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(/.f64 (*.f64 (*.f64 (+.f64 alpha 1) (/.f64 1 (+.f64 alpha (+.f64 3 beta)))) (+.f64 -4 (neg.f64 (*.f64 alpha -2)))) (neg.f64 (+.f64 16 (*.f64 -4 (*.f64 alpha alpha)))))
(*.f64 (-.f64 -4 (*.f64 alpha -2)) (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 4 (*.f64 alpha alpha) -16) (+.f64 alpha (+.f64 3 beta)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (neg.f64 (+.f64 64 (*.f64 8 (pow.f64 alpha 3))))) (neg.f64 (+.f64 16 (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) 4)))))
(*.f64 (+.f64 -16 (neg.f64 (*.f64 alpha (*.f64 2 (fma.f64 alpha 2 -4))))) (/.f64 (*.f64 (+.f64 alpha 1) (/.f64 1 (+.f64 alpha (+.f64 3 beta)))) (neg.f64 (+.f64 64 (*.f64 (pow.f64 alpha 3) 8)))))
(/.f64 (*.f64 (-.f64 -16 (*.f64 alpha (*.f64 2 (fma.f64 alpha 2 -4)))) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 3 beta)))) (-.f64 -64 (*.f64 (pow.f64 alpha 3) 8)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (-.f64 (*.f64 4 (*.f64 alpha alpha)) 16)) (-.f64 (*.f64 alpha 2) 4))
(*.f64 (fma.f64 alpha 2 -4) (/.f64 (+.f64 alpha 1) (/.f64 (fma.f64 4 (*.f64 alpha alpha) -16) (/.f64 1 (+.f64 alpha (+.f64 3 beta))))))
(*.f64 (fma.f64 alpha 2 -4) (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 4 (*.f64 alpha alpha) -16) (+.f64 alpha (+.f64 3 beta)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (fma.f64 alpha 2 4))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (sqrt.f64 (-.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 3 beta) 2))) (*.f64 (fma.f64 alpha 2 4) (sqrt.f64 (+.f64 alpha (+.f64 3 beta)))))) (sqrt.f64 (-.f64 alpha (+.f64 3 beta))))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (fma.f64 alpha 2 4) (sqrt.f64 (+.f64 alpha (+.f64 3 beta)))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 3 beta) 2))))) (sqrt.f64 (-.f64 alpha (+.f64 3 beta))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (fma.f64 alpha 2 4))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))
(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (sqrt.f64 (+.f64 alpha (+.f64 3 beta))))) (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 3 beta) (+.f64 beta (-.f64 3 alpha)))))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 3 beta) 3))))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (fma.f64 alpha 2 4) (sqrt.f64 (+.f64 alpha (+.f64 3 beta)))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 3 beta) 3))))) (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 3 beta) (+.f64 3 (-.f64 beta alpha))))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2) (fma.f64 alpha 2 4))) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (cbrt.f64 (-.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 3 beta) 2))) (*.f64 (fma.f64 alpha 2 4) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2)))) (cbrt.f64 (-.f64 alpha (+.f64 3 beta))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2)) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 3 beta) 2)))) (cbrt.f64 (-.f64 alpha (+.f64 3 beta))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2) (fma.f64 alpha 2 4))) (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 3 beta) 3))) (*.f64 (fma.f64 alpha 2 4) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2)))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 3 beta) (+.f64 beta (-.f64 3 alpha))))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 3 beta) 3))) (fma.f64 alpha 2 4))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 3 beta) (+.f64 3 (-.f64 beta alpha))))))
(pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3)))) 1)
(/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 3 beta))) (fma.f64 alpha 2 4))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3))))) 2)
(/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 3 beta))) (fma.f64 alpha 2 4))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3))))) 3)
(/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 3 beta))) (fma.f64 alpha 2 4))
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3)))) 3) 1/3)
(/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 3 beta))) (fma.f64 alpha 2 4))
(pow.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 1)) (fma.f64 alpha 2 4)) -1)
(/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 3 beta))) (fma.f64 alpha 2 4))
(neg.f64 (/.f64 (+.f64 alpha 1) (*.f64 (-.f64 -3 (+.f64 alpha beta)) (fma.f64 alpha 2 4))))
(/.f64 (neg.f64 (+.f64 alpha 1)) (*.f64 (fma.f64 alpha 2 4) (-.f64 -3 (+.f64 alpha beta))))
(/.f64 (neg.f64 (+.f64 alpha 1)) (*.f64 (fma.f64 alpha 2 4) (-.f64 (-.f64 -3 alpha) beta)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3)))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 3 beta)))) 2))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 3 beta))) (fma.f64 alpha 2 4)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3))))))
(/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 3 beta))) (fma.f64 alpha 2 4))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3)))))))
(/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 3 beta))) (fma.f64 alpha 2 4))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3)))) 3))
(/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 3 beta))) (fma.f64 alpha 2 4))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4)) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 4)) 3) (pow.f64 (+.f64 alpha (+.f64 3 beta)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3))))))
(/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 3 beta))) (fma.f64 alpha 2 4))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3))))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 3 beta))))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3))))) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 3 beta))))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 beta 3))))))
(/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 4) (+.f64 alpha (+.f64 3 beta))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 3 beta))) (fma.f64 alpha 2 4))

localize68.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 alpha (+.f64 beta 2))
0.0b
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
0.0b
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
0.4b
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
Compiler

Compiled 58 to 39 computations (32.8% saved)

series7.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite110.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
704×distribute-lft-neg-in
662×distribute-rgt-neg-in
356×distribute-neg-frac
348×add-sqr-sqrt
338×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01462
133462
2512862
Stop Event
node limit
Counts
2 → 98
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (*.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (+.f64 beta (+.f64 alpha 2))) (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))))))

simplify123.0ms (0.6%)

Algorithm
egg-herbie
Rules
754×associate-*r*
670×associate-*l*
642×*-commutative
630×distribute-lft-in
592×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04948890
115898214
278778214
Stop Event
node limit
Counts
134 → 220
Calls
Call 1
Inputs
(/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/9 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 3 (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/9 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 3 (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/9 (/.f64 (+.f64 7 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 1/3 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 3 (+.f64 4 (*.f64 2 alpha)))) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/9 (/.f64 (+.f64 (*.f64 3 (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4))))) (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/9 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 3 (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/9 (/.f64 (+.f64 7 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 1/3 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 3 (+.f64 4 (*.f64 2 alpha)))) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/9 (/.f64 (+.f64 (*.f64 3 (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4))))) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (+.f64 (*.f64 1/9 (/.f64 (+.f64 7 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 1/3 (/.f64 (*.f64 (+.f64 (*.f64 3 (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/9 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 3 (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 3 (+.f64 4 (*.f64 2 alpha))))) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/3 (/.f64 (*.f64 (+.f64 7 (*.f64 2 alpha)) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/9 (/.f64 (+.f64 (*.f64 3 (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4))))) (pow.f64 (+.f64 2 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 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 alpha)) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 3 (+.f64 4 (*.f64 2 alpha))) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 6 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 3 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 3 (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 6 (*.f64 2 alpha)))) (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 6 (*.f64 2 alpha)))) (*.f64 3 (+.f64 4 (*.f64 2 alpha))))))))) (pow.f64 beta 5))) (+.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 3 (+.f64 4 (*.f64 2 alpha))) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 6 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 -1 (/.f64 (+.f64 3 (*.f64 2 (+.f64 2 alpha))) (pow.f64 beta 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -6 (+.f64 2 alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (+.f64 3 (*.f64 2 (+.f64 2 alpha))) (+.f64 1 (*.f64 -1 (+.f64 3 (*.f64 2 (+.f64 2 alpha))))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 -1 (/.f64 (+.f64 3 (*.f64 2 (+.f64 2 alpha))) (pow.f64 beta 3))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -6 (+.f64 2 alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (+.f64 3 (*.f64 2 (+.f64 2 alpha))) (+.f64 1 (*.f64 -1 (+.f64 3 (*.f64 2 (+.f64 2 alpha))))))) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -6 (+.f64 2 alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 (*.f64 -1 (+.f64 3 (*.f64 2 (+.f64 2 alpha)))))) (pow.f64 beta 5)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 3 (*.f64 2 (+.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -6 (+.f64 2 alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (+.f64 (*.f64 -1 (+.f64 3 (*.f64 2 (+.f64 2 alpha)))) 1) (+.f64 3 (*.f64 2 (+.f64 2 alpha))))) (+.f64 3 (*.f64 2 (+.f64 2 alpha)))) (pow.f64 beta 5))))))))
(/.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 -1 (/.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 beta (*.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 -1 (/.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 6)))))) (pow.f64 alpha 2))))))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 alpha 2)))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 alpha 2)))
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1/3
(+.f64 (*.f64 2/9 beta) 1/3)
(+.f64 (*.f64 -2/27 (pow.f64 beta 2)) (+.f64 (*.f64 2/9 beta) 1/3))
(+.f64 (*.f64 -2/27 (pow.f64 beta 2)) (+.f64 (*.f64 2/9 beta) (+.f64 1/3 (*.f64 2/81 (pow.f64 beta 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 18 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 18 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))) 1)
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(pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (/.f64 (+.f64 beta 3) (+.f64 beta 1))) -1)
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(cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) 3))
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(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))) 1)
(*.f64 1 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3)))
(*.f64 (+.f64 beta 1) (neg.f64 (/.f64 -1 (+.f64 beta 3))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))
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(*.f64 (hypot.f64 1 (sqrt.f64 beta)) (*.f64 (hypot.f64 1 (sqrt.f64 beta)) (/.f64 1 (+.f64 beta 3))))
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(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (*.f64 (cbrt.f64 (+.f64 beta 1)) (/.f64 1 (+.f64 beta 3))))
(*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 1))
(*.f64 (-.f64 -1 beta) (/.f64 -1 (+.f64 beta 3)))
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(pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 beta 3) (+.f64 beta 1)) -1)
(neg.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 beta 3) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 3))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 3))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))
Outputs
(/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/9 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 3 (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))
(fma.f64 beta (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/9 (/.f64 (fma.f64 3 (*.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)))
(fma.f64 beta (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)) -1/9)) (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/9 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 3 (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/9 (/.f64 (+.f64 7 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 1/3 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 3 (+.f64 4 (*.f64 2 alpha)))) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/9 (/.f64 (+.f64 (*.f64 3 (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4))))) (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))
(fma.f64 beta (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/9 (/.f64 (fma.f64 3 (*.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)))) (fma.f64 -1 (*.f64 (*.f64 beta beta) (fma.f64 1/9 (/.f64 (+.f64 (*.f64 2 alpha) 7) (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (*.f64 1/3 (*.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/9 (/.f64 (fma.f64 3 (*.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)))) (fma.f64 3 (*.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2))))
(fma.f64 beta (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)) -1/9)) (fma.f64 (*.f64 (neg.f64 beta) beta) (fma.f64 1/3 (*.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)) -1/9))) (/.f64 (*.f64 1/9 (fma.f64 2 alpha 7)) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/9 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 3 (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/9 (/.f64 (+.f64 7 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 1/3 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 3 (+.f64 4 (*.f64 2 alpha)))) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/9 (/.f64 (+.f64 (*.f64 3 (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4))))) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (+.f64 (*.f64 1/9 (/.f64 (+.f64 7 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 1/3 (/.f64 (*.f64 (+.f64 (*.f64 3 (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/9 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 3 (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 3 (+.f64 4 (*.f64 2 alpha))))) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/3 (/.f64 (*.f64 (+.f64 7 (*.f64 2 alpha)) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/9 (/.f64 (+.f64 (*.f64 3 (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4))))) (pow.f64 (+.f64 2 alpha) 2))))))))))
(fma.f64 beta (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/9 (/.f64 (fma.f64 3 (*.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 (fma.f64 -1 (*.f64 (*.f64 beta beta) (fma.f64 1/9 (/.f64 (+.f64 (*.f64 2 alpha) 7) (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (*.f64 1/3 (*.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/9 (/.f64 (fma.f64 3 (*.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)))) (fma.f64 3 (*.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2))) (neg.f64 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1/9 (pow.f64 (+.f64 2 alpha) 4)) (fma.f64 -1/3 (/.f64 (fma.f64 1/9 (/.f64 (+.f64 (*.f64 2 alpha) 7) (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (*.f64 1/3 (*.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/9 (/.f64 (fma.f64 3 (*.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)))) (fma.f64 3 (*.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (fma.f64 3 (*.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 1/3 (/.f64 (+.f64 (*.f64 2 alpha) 7) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/9 (/.f64 (fma.f64 3 (*.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)))))))))))))
(fma.f64 beta (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)) -1/9)) (-.f64 (fma.f64 (*.f64 (neg.f64 beta) beta) (fma.f64 1/3 (*.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)) -1/9))) (/.f64 (*.f64 1/9 (fma.f64 2 alpha 7)) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1/9 (pow.f64 (+.f64 2 alpha) 4)) (fma.f64 -1/3 (*.f64 (/.f64 (fma.f64 1/3 (*.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)) -1/9))) (/.f64 (*.f64 1/9 (fma.f64 2 alpha 7)) (pow.f64 (+.f64 2 alpha) 4))) (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1/3 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)) -1/9)) (fma.f64 2 alpha 7)))))))))
(-.f64 (fma.f64 beta (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)) -1/9)) (fma.f64 (*.f64 (neg.f64 beta) beta) (fma.f64 1/3 (*.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)) -1/9))) (/.f64 (*.f64 1/9 (fma.f64 2 alpha 7)) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1/9 (pow.f64 (+.f64 2 alpha) 4)) (fma.f64 -1/3 (*.f64 (/.f64 (fma.f64 1/3 (*.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)) -1/9))) (/.f64 (*.f64 1/9 (fma.f64 2 alpha 7)) (pow.f64 (+.f64 2 alpha) 4))) (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1/3 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)) -1/9)) (fma.f64 2 alpha 7))))))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 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 1 (*.f64 beta beta)) (/.f64 (fma.f64 2 alpha 6) (pow.f64 beta 3)))
(+.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 3 (+.f64 4 (*.f64 2 alpha))) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 6 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (*.f64 -1 (+.f64 (/.f64 (+.f64 (*.f64 2 alpha) 6) (pow.f64 beta 3)) (/.f64 (fma.f64 3 (*.f64 2 (+.f64 2 alpha)) (fma.f64 -1 (*.f64 (+.f64 (*.f64 2 alpha) 7) (+.f64 (*.f64 2 alpha) 6)) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4)))))
(-.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (fma.f64 2 alpha 6) (pow.f64 beta 3))) (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (fma.f64 2 alpha 7) (fma.f64 2 alpha 6)))) (pow.f64 beta 4)))
(-.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (fma.f64 2 alpha 6) (pow.f64 beta 3))) (/.f64 (-.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (fma.f64 2 alpha 7) (fma.f64 2 alpha 6))) (pow.f64 beta 4)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 3 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 3 (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 6 (*.f64 2 alpha)))) (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 6 (*.f64 2 alpha)))) (*.f64 3 (+.f64 4 (*.f64 2 alpha))))))))) (pow.f64 beta 5))) (+.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 3 (+.f64 4 (*.f64 2 alpha))) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 6 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4))))))
(fma.f64 -1 (/.f64 (fma.f64 3 (pow.f64 (+.f64 2 alpha) 2) (*.f64 -1 (+.f64 (*.f64 (fma.f64 3 (*.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 2 alpha) 6)) (*.f64 (+.f64 (*.f64 2 alpha) 7) (fma.f64 3 (*.f64 2 (+.f64 2 alpha)) (fma.f64 -1 (*.f64 (+.f64 (*.f64 2 alpha) 7) (+.f64 (*.f64 2 alpha) 6)) (pow.f64 (+.f64 2 alpha) 2))))))) (pow.f64 beta 5)) (+.f64 (/.f64 1 (*.f64 beta beta)) (*.f64 -1 (+.f64 (/.f64 (+.f64 (*.f64 2 alpha) 6) (pow.f64 beta 3)) (/.f64 (fma.f64 3 (*.f64 2 (+.f64 2 alpha)) (fma.f64 -1 (*.f64 (+.f64 (*.f64 2 alpha) 7) (+.f64 (*.f64 2 alpha) 6)) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4))))))
(-.f64 (-.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (fma.f64 2 alpha 6) (pow.f64 beta 3))) (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (fma.f64 2 alpha 7) (fma.f64 2 alpha 6)))) (pow.f64 beta 4))) (/.f64 (fma.f64 (pow.f64 (+.f64 2 alpha) 2) 3 (neg.f64 (fma.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 2 alpha 6) (*.f64 (fma.f64 2 alpha 7) (fma.f64 3 (fma.f64 2 alpha 4) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (fma.f64 2 alpha 7) (fma.f64 2 alpha 6)))))))) (pow.f64 beta 5)))
(-.f64 (-.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (fma.f64 2 alpha 6) (pow.f64 beta 3))) (/.f64 (-.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (fma.f64 2 alpha 7) (fma.f64 2 alpha 6))) (pow.f64 beta 4))) (/.f64 (fma.f64 (pow.f64 (+.f64 2 alpha) 2) 3 (neg.f64 (fma.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 2 alpha 6) (*.f64 (fma.f64 2 alpha 7) (-.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (fma.f64 2 alpha 7) (fma.f64 2 alpha 6))))))) (pow.f64 beta 5)))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 -1 (/.f64 (+.f64 3 (*.f64 2 (+.f64 2 alpha))) (pow.f64 beta 3)))))
(+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 1 (pow.f64 beta 3))) (/.f64 (neg.f64 (+.f64 3 (*.f64 2 (+.f64 2 alpha)))) (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 (fma.f64 2 alpha 7) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -6 (+.f64 2 alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (+.f64 3 (*.f64 2 (+.f64 2 alpha))) (+.f64 1 (*.f64 -1 (+.f64 3 (*.f64 2 (+.f64 2 alpha))))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 -1 (/.f64 (+.f64 3 (*.f64 2 (+.f64 2 alpha))) (pow.f64 beta 3))))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (fma.f64 -6 (+.f64 2 alpha) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (+.f64 3 (*.f64 2 (+.f64 2 alpha))) (fma.f64 -1 (+.f64 3 (*.f64 2 (+.f64 2 alpha))) 1))) (pow.f64 beta 4)) (+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 1 (pow.f64 beta 3))) (/.f64 (neg.f64 (+.f64 3 (*.f64 2 (+.f64 2 alpha)))) (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 (fma.f64 2 alpha 7) (pow.f64 beta 3)))) (/.f64 (-.f64 (*.f64 (fma.f64 2 alpha 7) (-.f64 1 (fma.f64 2 alpha 7))) (-.f64 (+.f64 -12 (*.f64 alpha -6)) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -6 (+.f64 2 alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (+.f64 3 (*.f64 2 (+.f64 2 alpha))) (+.f64 1 (*.f64 -1 (+.f64 3 (*.f64 2 (+.f64 2 alpha))))))) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -6 (+.f64 2 alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 (*.f64 -1 (+.f64 3 (*.f64 2 (+.f64 2 alpha)))))) (pow.f64 beta 5)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 3 (*.f64 2 (+.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -6 (+.f64 2 alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (+.f64 (*.f64 -1 (+.f64 3 (*.f64 2 (+.f64 2 alpha)))) 1) (+.f64 3 (*.f64 2 (+.f64 2 alpha))))) (+.f64 3 (*.f64 2 (+.f64 2 alpha)))) (pow.f64 beta 5))))))))
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(+.f64 (/.f64 (*.f64 3 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2))) (pow.f64 alpha 4)) (+.f64 (fma.f64 2 (fma.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 5)) (/.f64 (*.f64 -3 (/.f64 (pow.f64 (+.f64 2 beta) 3) (/.f64 (+.f64 beta 3) (+.f64 beta 1)))) (pow.f64 alpha 5))) (*.f64 (/.f64 -2 (pow.f64 alpha 3)) (/.f64 (+.f64 2 beta) (/.f64 (+.f64 beta 3) (+.f64 beta 1))))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 alpha alpha))) (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 alpha alpha))))))
1/3
(+.f64 (*.f64 2/9 beta) 1/3)
(fma.f64 2/9 beta 1/3)
(fma.f64 beta 2/9 1/3)
(+.f64 (*.f64 -2/27 (pow.f64 beta 2)) (+.f64 (*.f64 2/9 beta) 1/3))
(fma.f64 -2/27 (*.f64 beta beta) (fma.f64 2/9 beta 1/3))
(fma.f64 (*.f64 beta beta) -2/27 (fma.f64 beta 2/9 1/3))
(+.f64 (*.f64 -2/27 (pow.f64 beta 2)) (+.f64 (*.f64 2/9 beta) (+.f64 1/3 (*.f64 2/81 (pow.f64 beta 3)))))
(fma.f64 -2/27 (*.f64 beta beta) (+.f64 (fma.f64 2/9 beta 1/3) (*.f64 (pow.f64 beta 3) 2/81)))
(fma.f64 (*.f64 beta beta) -2/27 (fma.f64 beta 2/9 (fma.f64 (pow.f64 beta 3) 2/81 1/3)))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (/.f64 6 (*.f64 beta beta))) (/.f64 2 beta))
(+.f64 1 (+.f64 (/.f64 6 (*.f64 beta beta)) (/.f64 -2 beta)))
(-.f64 (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 18 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (-.f64 (+.f64 1 (/.f64 6 (*.f64 beta beta))) (/.f64 18 (pow.f64 beta 3))) (/.f64 2 beta))
(+.f64 (+.f64 (/.f64 6 (*.f64 beta beta)) (-.f64 1 (/.f64 18 (pow.f64 beta 3)))) (/.f64 -2 beta))
(+.f64 (/.f64 6 (*.f64 beta beta)) (-.f64 1 (+.f64 (/.f64 2 beta) (/.f64 18 (pow.f64 beta 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (/.f64 6 (*.f64 beta beta))) (/.f64 2 beta))
(+.f64 1 (+.f64 (/.f64 6 (*.f64 beta beta)) (/.f64 -2 beta)))
(-.f64 (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 18 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (-.f64 (+.f64 1 (/.f64 6 (*.f64 beta beta))) (/.f64 18 (pow.f64 beta 3))) (/.f64 2 beta))
(+.f64 (+.f64 (/.f64 6 (*.f64 beta beta)) (-.f64 1 (/.f64 18 (pow.f64 beta 3)))) (/.f64 -2 beta))
(+.f64 (/.f64 6 (*.f64 beta beta)) (-.f64 1 (+.f64 (/.f64 2 beta) (/.f64 18 (pow.f64 beta 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))) 1)
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(*.f64 1 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(*.f64 (+.f64 beta 1) (*.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3))) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (/.f64 (+.f64 beta 1) (+.f64 beta 3)))
(*.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(/.f64 (*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3))) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))
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(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(*.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) 1)
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(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(*.f64 (/.f64 (+.f64 beta 1) 1) (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(/.f64 (*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3))) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 4))) (/.f64 (-.f64 -1 beta) (*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) 2) (-.f64 -3 beta))))
(/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 4))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 (+.f64 2 alpha) beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))) (-.f64 (-.f64 alpha beta) 2))
(*.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (*.f64 (-.f64 -3 beta) (+.f64 2 (+.f64 alpha beta))))) (+.f64 (-.f64 alpha beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (*.f64 (-.f64 -3 beta) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (-.f64 -2 beta)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.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 2 (-.f64 beta alpha)))))
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 (+.f64 2 alpha) 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 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 2 (+.f64 alpha beta)))) (/.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 -1 beta) (+.f64 beta 3)) (/.f64 1 (neg.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(/.f64 (*.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)) 1) (neg.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))
(/.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)) (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (+.f64 beta 3)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (+.f64 beta 3)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (+.f64 beta 3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (cbrt.f64 (+.f64 beta 1)) (+.f64 beta 3)))
(/.f64 (*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3))) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3))) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))
(*.f64 (/.f64 (+.f64 beta 1) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (/.f64 (+.f64 beta 1) (cbrt.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 4))) (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) 2) (+.f64 beta 3))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 4))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2))
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(*.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2) (cbrt.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 4))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 4))))
(pow.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) 1)
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (+.f64 beta (+.f64 alpha 2))) 2)
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
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(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 3)
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(pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) 3) 1/3)
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
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(pow.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (/.f64 (+.f64 beta 3) (+.f64 beta 1))) -1)
(/.f64 (*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3))) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))
(neg.f64 (neg.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(neg.f64 (*.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3))) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (/.f64 (+.f64 beta 1) (+.f64 beta 3)))
(neg.f64 (*.f64 (neg.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 1))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(neg.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (/.f64 1 (neg.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(neg.f64 (*.f64 1 (neg.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(neg.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (/.f64 (-.f64 -1 beta) (+.f64 beta 3))))
(*.f64 (*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3))) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (/.f64 (+.f64 beta 1) (+.f64 beta 3)))
(neg.f64 (/.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(/.f64 (*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3))) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))
(neg.f64 (/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 -3 beta))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(neg.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4)))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 2) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 4)))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 2) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 4)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) 3))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 3) (pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 3)))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))))
(/.f64 (exp.f64 (log1p.f64 beta)) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 1))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))))
(/.f64 (exp.f64 (log1p.f64 beta)) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))) 1)
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(*.f64 1 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(*.f64 (+.f64 beta 1) (neg.f64 (/.f64 -1 (+.f64 beta 3))))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 1)
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(*.f64 (hypot.f64 1 (sqrt.f64 beta)) (*.f64 (hypot.f64 1 (sqrt.f64 beta)) (/.f64 1 (+.f64 beta 3))))
(*.f64 (hypot.f64 1 (sqrt.f64 beta)) (*.f64 (/.f64 1 (+.f64 beta 3)) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (hypot.f64 1 (sqrt.f64 beta)) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (+.f64 beta 3)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2) (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (*.f64 (cbrt.f64 (+.f64 beta 1)) (/.f64 1 (+.f64 beta 3))))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 1))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(*.f64 (-.f64 -1 beta) (/.f64 -1 (+.f64 beta 3)))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)))))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)))) (neg.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)))))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 3))) (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta 3))))
(/.f64 (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (/.f64 (+.f64 beta 1) (cbrt.f64 (+.f64 beta 3))))
(/.f64 (/.f64 (+.f64 beta 1) (cbrt.f64 (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2))
(*.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta beta -9)) (+.f64 beta -3))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 27 (pow.f64 beta 3))) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 (pow.f64 beta 3) 27)) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(/.f64 (*.f64 (+.f64 beta 1) (fma.f64 beta (+.f64 beta -3) 9)) (+.f64 (pow.f64 beta 3) 27))
(*.f64 -1 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2)) (neg.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (+.f64 beta 3)))
(*.f64 (hypot.f64 1 (sqrt.f64 beta)) (*.f64 (/.f64 1 (+.f64 beta 3)) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (hypot.f64 1 (sqrt.f64 beta)) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (+.f64 beta 3)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (cbrt.f64 (+.f64 beta 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 1)) (+.f64 beta 3)))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (sqrt.f64 (+.f64 beta 3))) (/.f64 (cbrt.f64 (+.f64 beta 1)) (sqrt.f64 (+.f64 beta 3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 3))) (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta 3))))
(/.f64 (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)))) (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3))))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3))))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3))))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))) (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 1)
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2)
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 3)
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 3) 1/3)
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(pow.f64 (/.f64 (+.f64 beta 3) (+.f64 beta 1)) -1)
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(neg.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 2))
(fabs.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 3))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 beta 3) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 3))))
(/.f64 (exp.f64 (log1p.f64 beta)) (+.f64 beta 3))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 3))) 1))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 3))))
(/.f64 (exp.f64 (log1p.f64 beta)) (+.f64 beta 3))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))

eval1.4s (7%)

Compiler

Compiled 53314 to 39172 computations (26.5% saved)

prune472.0ms (2.4%)

Pruning

28 alts after pruning (27 fresh and 1 done)

PrunedKeptTotal
New1551121563
Fresh21517
Picked101
Done516
Total1559281587
Error
0b
Counts
1587 → 28
Alt Table
Click to see full alt table
StatusErrorProgram
17.1b
(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 alpha (*.f64 beta alpha)) (/.f64 (*.f64 beta beta) (+.f64 beta -1))) (/.f64 1 (+.f64 beta -1))) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
4.7b
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2))))
24.3b
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
24.4b
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
29.4b
(/.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)))
31.3b
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
29.7b
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
30.2b
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
62.0b
(/.f64 (/.f64 1 alpha) alpha)
17.1b
(/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))
44.6b
(/.f64 (/.f64 1/2 beta) (+.f64 beta 2))
45.1b
(/.f64 (/.f64 1/2 beta) beta)
18.9b
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (+.f64 (+.f64 alpha beta) 2)))
11.0b
(/.f64 (+.f64 beta 1) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) 2)))
40.3b
(/.f64 (+.f64 beta 1) (*.f64 (*.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
2.1b
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 3) alpha)) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
2.8b
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
2.1b
(/.f64 (*.f64 (-.f64 -1 beta) (/.f64 (-.f64 -1 alpha) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))))) (+.f64 alpha (+.f64 beta 3)))
45.8b
(/.f64 alpha (*.f64 beta beta))
29.7b
(/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
34.1b
(/.f64 1 (*.f64 beta beta))
62.4b
(/.f64 1/2 alpha)
32.7b
(/.f64 1/4 (+.f64 beta 3))
32.4b
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
32.9b
(/.f64 1/6 (+.f64 beta 2))
4.5b
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
30.3b
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
33.9b
1/12
Compiler

Compiled 432 to 311 computations (28% saved)

regimes84.0ms (0.4%)

Counts
56 → 1
Calls
Call 1
Inputs
1/12
(*.f64 1/2 1/6)
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1/2 beta) beta)
(/.f64 (/.f64 1 alpha) alpha)
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1/2 beta) (+.f64 beta 2))
(/.f64 (/.f64 1 alpha) (+.f64 3 alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (+.f64 2 alpha))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(*.f64 1/2 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (*.f64 (*.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.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 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 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 beta 3)) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 alpha beta))) (-.f64 -1 beta))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (*.f64 (-.f64 -1 beta) (/.f64 (-.f64 -1 alpha) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))))) (+.f64 alpha (+.f64 beta 3)))
(/.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 (+.f64 beta 1) (+.f64 (+.f64 beta 3) alpha)) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (+.f64 (+.f64 alpha 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 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 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 (+.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 alpha (*.f64 beta alpha)) (/.f64 (*.f64 beta beta) (+.f64 beta -1))) (/.f64 1 (+.f64 beta -1))) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.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 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (+.f64 (+.f64 alpha beta) 2)))
Outputs
(/.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)))
Calls

3 calls:

26.0ms
alpha
25.0ms
beta
15.0ms
(/.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
0.1b1alpha
0.1b1beta
0.1b1(/.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 885 to 578 computations (34.7% saved)

regimes66.0ms (0.3%)

Counts
50 → 1
Calls
Call 1
Inputs
1/12
(*.f64 1/2 1/6)
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1/2 beta) beta)
(/.f64 (/.f64 1 alpha) alpha)
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1/2 beta) (+.f64 beta 2))
(/.f64 (/.f64 1 alpha) (+.f64 3 alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (+.f64 2 alpha))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(*.f64 1/2 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (*.f64 (*.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.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 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 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 beta 3)) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 alpha beta))) (-.f64 -1 beta))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (*.f64 (-.f64 -1 beta) (/.f64 (-.f64 -1 alpha) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))))) (+.f64 alpha (+.f64 beta 3)))
(/.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 (+.f64 beta 1) (+.f64 (+.f64 beta 3) alpha)) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (+.f64 (+.f64 alpha 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 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (/.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
Outputs
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))) (+.f64 alpha (+.f64 beta 3)))
Calls

2 calls:

29.0ms
alpha
23.0ms
beta
Results
ErrorSegmentsBranch
0.8b1alpha
0.8b1beta
Compiler

Compiled 668 to 444 computations (33.5% saved)

regimes51.0ms (0.3%)

Counts
43 → 1
Calls
Call 1
Inputs
1/12
(*.f64 1/2 1/6)
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1/2 beta) beta)
(/.f64 (/.f64 1 alpha) alpha)
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1/2 beta) (+.f64 beta 2))
(/.f64 (/.f64 1 alpha) (+.f64 3 alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (+.f64 2 alpha))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(*.f64 1/2 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (*.f64 (*.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.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 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 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 beta 3)) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 3 alpha))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (*.f64 (-.f64 -2 beta) (+.f64 2 (+.f64 alpha beta))) (-.f64 -1 beta))) (+.f64 alpha (+.f64 beta 3)))
Outputs
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
Calls

2 calls:

20.0ms
alpha
20.0ms
beta
Results
ErrorSegmentsBranch
0.8b1alpha
0.8b1beta
Compiler

Compiled 495 to 330 computations (33.3% saved)

regimes81.0ms (0.4%)

Counts
41 → 2
Calls
Call 1
Inputs
1/12
(*.f64 1/2 1/6)
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1/2 beta) beta)
(/.f64 (/.f64 1 alpha) alpha)
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1/2 beta) (+.f64 beta 2))
(/.f64 (/.f64 1 alpha) (+.f64 3 alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (+.f64 2 alpha))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(*.f64 1/2 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (*.f64 (*.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.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 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 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 beta 3)) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (*.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 3 alpha))))
Outputs
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
Calls

2 calls:

36.0ms
beta
35.0ms
alpha
Results
ErrorSegmentsBranch
1.0b2alpha
0.7b2beta
Compiler

Compiled 449 to 299 computations (33.4% saved)

bsearch18.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
2.852913752304371e+31
2.1756318528726827e+39
Results
16.0ms112×body256valid
Compiler

Compiled 364 to 266 computations (26.9% saved)

regimes132.0ms (0.7%)

Counts
39 → 2
Calls
Call 1
Inputs
1/12
(*.f64 1/2 1/6)
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1/2 beta) beta)
(/.f64 (/.f64 1 alpha) alpha)
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1/2 beta) (+.f64 beta 2))
(/.f64 (/.f64 1 alpha) (+.f64 3 alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (+.f64 2 alpha))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(*.f64 1/2 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (*.f64 (*.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.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 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 beta 1) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
Outputs
(/.f64 (+.f64 beta 1) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.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:

88.0ms
beta
35.0ms
alpha
Results
ErrorSegmentsBranch
1.2b2alpha
0.7b2beta
Compiler

Compiled 403 to 267 computations (33.7% saved)

bsearch19.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
6401.569563641561
48059179.739274345
Results
17.0ms128×body256valid
Compiler

Compiled 362 to 268 computations (26% saved)

regimes88.0ms (0.4%)

Counts
33 → 2
Calls
Call 1
Inputs
1/12
(*.f64 1/2 1/6)
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1/2 beta) beta)
(/.f64 (/.f64 1 alpha) alpha)
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1/2 beta) (+.f64 beta 2))
(/.f64 (/.f64 1 alpha) (+.f64 3 alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (+.f64 2 alpha))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(*.f64 1/2 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (*.f64 (*.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 alpha) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
Outputs
(/.f64 (+.f64 beta 1) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
Calls

2 calls:

52.0ms
beta
29.0ms
alpha
Results
ErrorSegmentsBranch
6.9b2alpha
0.8b2beta
Compiler

Compiled 289 to 190 computations (34.3% saved)

bsearch20.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
6401.569563641561
48059179.739274345
Results
17.0ms128×body256valid
Compiler

Compiled 346 to 252 computations (27.2% saved)

regimes63.0ms (0.3%)

Counts
31 → 2
Calls
Call 1
Inputs
1/12
(*.f64 1/2 1/6)
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1/2 beta) beta)
(/.f64 (/.f64 1 alpha) alpha)
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1/2 beta) (+.f64 beta 2))
(/.f64 (/.f64 1 alpha) (+.f64 3 alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (+.f64 2 alpha))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(*.f64 1/2 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (*.f64 (*.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
Outputs
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
Calls

2 calls:

29.0ms
alpha
28.0ms
beta
Results
ErrorSegmentsBranch
13.0b2alpha
1.4b2beta
Compiler

Compiled 255 to 167 computations (34.5% saved)

bsearch20.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
0.0022282274543440326
3.7492609500553638
Results
18.0ms128×body256valid
Compiler

Compiled 266 to 196 computations (26.3% saved)

regimes114.0ms (0.6%)

Counts
30 → 2
Calls
Call 1
Inputs
1/12
(*.f64 1/2 1/6)
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1/2 beta) beta)
(/.f64 (/.f64 1 alpha) alpha)
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1/2 beta) (+.f64 beta 2))
(/.f64 (/.f64 1 alpha) (+.f64 3 alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (+.f64 2 alpha))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(*.f64 1/2 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (*.f64 (*.f64 beta beta) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
Outputs
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
Calls

2 calls:

58.0ms
alpha
49.0ms
beta
Results
ErrorSegmentsBranch
13.1b2alpha
1.9b2beta
Compiler

Compiled 240 to 157 computations (34.6% saved)

bsearch12.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
11.0ms
3.7492609500553638
9.552550542365825
Results
10.0ms80×body256valid
Compiler

Compiled 162 to 118 computations (27.2% saved)

regimes128.0ms (0.7%)

Counts
23 → 2
Calls
Call 1
Inputs
1/12
(*.f64 1/2 1/6)
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1/2 beta) beta)
(/.f64 (/.f64 1 alpha) alpha)
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1/2 beta) (+.f64 beta 2))
(/.f64 (/.f64 1 alpha) (+.f64 3 alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (/.f64 1/2 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) (+.f64 2 alpha))
Outputs
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
Calls

2 calls:

102.0ms
alpha
22.0ms
beta
Results
ErrorSegmentsBranch
13.1b2alpha
1.9b2beta
Compiler

Compiled 149 to 96 computations (35.6% saved)

bsearch12.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
12.0ms
3.7492609500553638
9.552550542365825
Results
10.0ms80×body256valid
Compiler

Compiled 142 to 103 computations (27.5% saved)

regimes85.0ms (0.4%)

Counts
17 → 2
Calls
Call 1
Inputs
1/12
(*.f64 1/2 1/6)
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1/2 beta) beta)
(/.f64 (/.f64 1 alpha) alpha)
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1/2 beta) (+.f64 beta 2))
(/.f64 (/.f64 1 alpha) (+.f64 3 alpha))
Outputs
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
Calls

2 calls:

62.0ms
alpha
20.0ms
beta
Results
ErrorSegmentsBranch
21.6b4alpha
3.9b2beta
Compiler

Compiled 95 to 61 computations (35.8% saved)

bsearch12.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
11.0ms
3.7492609500553638
9.552550542365825
Results
10.0ms80×body256valid
Compiler

Compiled 142 to 103 computations (27.5% saved)

regimes81.0ms (0.4%)

Counts
13 → 2
Calls
Call 1
Inputs
1/12
(*.f64 1/2 1/6)
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1/2 beta) beta)
(/.f64 (/.f64 1 alpha) alpha)
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
Outputs
(/.f64 1/4 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta beta))
Calls

2 calls:

64.0ms
alpha
14.0ms
beta
Results
ErrorSegmentsBranch
21.7b5alpha
5.8b2beta
Compiler

Compiled 67 to 45 computations (32.8% saved)

bsearch49.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
49.0ms
3.7492609500553638
9.552550542365825
Results
48.0ms80×body256valid
Compiler

Compiled 132 to 98 computations (25.8% saved)

regimes45.0ms (0.2%)

Counts
11 → 2
Calls
Call 1
Inputs
1/12
(*.f64 1/2 1/6)
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1/2 beta) beta)
(/.f64 (/.f64 1 alpha) alpha)
Outputs
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1 (*.f64 beta beta))
Calls

2 calls:

30.0ms
alpha
12.0ms
beta
Results
ErrorSegmentsBranch
22.0b5alpha
6.1b2beta
Compiler

Compiled 53 to 35 computations (34% saved)

bsearch43.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
42.0ms
3.7492609500553638
9.552550542365825
Results
41.0ms80×body256valid
Compiler

Compiled 122 to 93 computations (23.8% saved)

regimes13.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
1/12
(*.f64 1/2 1/6)
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1 (*.f64 alpha alpha))
Outputs
(/.f64 1/4 (+.f64 beta 3))
Calls

2 calls:

6.0ms
alpha
5.0ms
beta
Results
ErrorSegmentsBranch
32.7b1alpha
32.7b1beta
Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes10.0ms (0%)

Counts
5 → 1
Calls
Call 1
Inputs
1/12
(*.f64 1/2 1/6)
(/.f64 1/2 alpha)
(/.f64 1 alpha)
(/.f64 1/6 (+.f64 beta 2))
Outputs
(/.f64 1/6 (+.f64 beta 2))
Calls

2 calls:

4.0ms
alpha
4.0ms
beta
Results
ErrorSegmentsBranch
32.9b1alpha
32.9b1beta
Compiler

Compiled 23 to 18 computations (21.7% saved)

regimes184.0ms (0.9%)

Accuracy

Total -28.6b remaining (-84.4%)

Threshold costs -28.6b (-84.4%)

Counts
4 → 1
Calls
Call 1
Inputs
1/12
(*.f64 1/2 1/6)
(/.f64 1/2 alpha)
(/.f64 1 alpha)
Outputs
1/12
Calls

2 calls:

179.0ms
alpha
4.0ms
beta
Results
ErrorSegmentsBranch
33.9b1alpha
33.9b1beta
Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify14.0ms (0.1%)

Algorithm
egg-herbie
Rules
26×+-commutative
12×*-commutative
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087867
1111867
Stop Event
fuel
saturated
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 (+.f64 alpha 1) (/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 399999999999999987453464431671902208) (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 28500000) (/.f64 (+.f64 beta 1) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.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 42000000) (/.f64 (+.f64 beta 1) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 1) (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 9/2) (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3602879701896397/562949953421312) (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 13/2) (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(if (<=.f64 beta 6980579422424269/1125899906842624) (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (*.f64 beta beta)))
(if (<=.f64 beta 6) (/.f64 1/4 (+.f64 beta 3)) (/.f64 1 (*.f64 beta beta)))
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1/6 (+.f64 beta 2))
1/12
Outputs
(/.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 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 2) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 1 beta)))) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 399999999999999987453464431671902208) (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 399999999999999987453464431671902208) (/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 28500000) (/.f64 (+.f64 beta 1) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.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 28500000) (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (+.f64 2 (+.f64 alpha beta)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 42000000) (/.f64 (+.f64 beta 1) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 42000000) (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (+.f64 2 (+.f64 alpha beta)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 1) (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 1) (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 9/2) (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3602879701896397/562949953421312) (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 3602879701896397/562949953421312) (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) beta))
(if (<=.f64 beta 13/2) (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(if (<=.f64 beta 13/2) (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 alpha 1) (*.f64 beta beta)))
(if (<=.f64 beta 6980579422424269/1125899906842624) (/.f64 1/4 (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (*.f64 beta beta)))
(if (<=.f64 beta 6) (/.f64 1/4 (+.f64 beta 3)) (/.f64 1 (*.f64 beta beta)))
(/.f64 1/4 (+.f64 beta 3))
(/.f64 1/6 (+.f64 beta 2))
1/12
Compiler

Compiled 344 to 249 computations (27.6% saved)

soundness908.0ms (4.6%)

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)

end289.0ms (1.5%)

Compiler

Compiled 370 to 256 computations (30.8% saved)

Profiling

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