Details

Time bar (total: 22.0s)

analyze49.0ms (0.2%)

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

Compiled 44 to 29 computations (34.1% saved)

sample1.4s (6.3%)

Results
1.3s8256×body256valid
Bogosity

preprocess346.0ms (1.6%)

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)

simplify616.0ms (2.8%)

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New459
Fresh011
Picked000
Done000
Total4610
Error
0.0b
Counts
10 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
3.3b
(/.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))
4.4b
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
0.1b
(/.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)))
4.4b
(/.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))))
2.3b
(/.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 294 to 198 computations (32.7% saved)

localize62.0ms (0.3%)

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)

series36.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
14.0ms
alpha
@0
(*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))
3.0ms
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)))
2.0ms
beta
@0
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
2.0ms
beta
@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)))
2.0ms
beta
@-inf
(/.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)))

rewrite171.0ms (0.8%)

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 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 3 (+.f64 alpha beta))) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (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 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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simplify217.0ms (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))
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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)))))
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(/.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 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))))
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(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (log1p.f64 beta))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)))) 1)
(*.f64 1 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)))
(*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 -1 (-.f64 -1 beta)))
(*.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 1)
(*.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (*.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (/.f64 -1 (-.f64 -1 beta))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) (*.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) (/.f64 -1 (-.f64 -1 beta))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 2) (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta)))
(*.f64 (-.f64 -2 (+.f64 alpha beta)) (/.f64 1 (-.f64 -1 beta)))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 beta))) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (cbrt.f64 (+.f64 1 beta))))
(*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (fma.f64 beta beta -1)) (+.f64 beta -1))
(*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 1 beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) 1) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (+.f64 1 beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (cbrt.f64 (+.f64 1 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) (+.f64 1 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) (hypot.f64 1 (sqrt.f64 beta))) (/.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))) -1)
(neg.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 -1 beta)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3) (pow.f64 (+.f64 1 beta) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(exp.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta)))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
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)))
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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 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta 1))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta 1)))))
(*.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))

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))
2.3b
(/.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)

series11.0ms (0%)

Counts
4 → 96
Calls

24 calls:

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

rewrite189.0ms (0.9%)

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
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(+.f64 alpha 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 beta (+.f64 alpha 2)) alpha (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))))))

simplify264.0ms (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)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))))))) (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4))))))
(+.f64 (/.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))))) (pow.f64 alpha 5)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 5))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4)))))))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
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(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
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(/.f64 1 (+.f64 beta 3))
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1
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1
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(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
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(/.f64 (+.f64 1 alpha) beta)
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(/.f64 (+.f64 1 alpha) beta)
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(pow.f64 (+.f64 beta 2) 2)
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(+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) alpha) (+.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) alpha) (+.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(pow.f64 alpha 2)
(+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) alpha) (pow.f64 alpha 2))
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(+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) alpha) (+.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))
(pow.f64 alpha 2)
(+.f64 (*.f64 2 (*.f64 (+.f64 beta 2) alpha)) (pow.f64 alpha 2))
(+.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (*.f64 2 (*.f64 (+.f64 beta 2) alpha)) (pow.f64 alpha 2)))
(+.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (*.f64 2 (*.f64 (+.f64 beta 2) alpha)) (pow.f64 alpha 2)))
(pow.f64 (+.f64 2 alpha) 2)
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(pow.f64 beta 2)
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(pow.f64 beta 2)
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(-.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)
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))
(pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 1)) -1)
(neg.f64 (/.f64 (+.f64 alpha 1) (+.f64 (neg.f64 (+.f64 alpha beta)) -3)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha (+.f64 beta 3)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha (+.f64 beta 3)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (*.f64 alpha alpha) (+.f64 (*.f64 alpha (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (*.f64 alpha (+.f64 beta 2)) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))
(+.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(+.f64 (*.f64 alpha (+.f64 beta 2)) (+.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) 2))
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) 2) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha beta)))
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) beta) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 alpha (+.f64 alpha beta)) (+.f64 (*.f64 alpha 2) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha beta)) (+.f64 (*.f64 (+.f64 beta 2) 2) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) beta) (+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) 2) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 (+.f64 alpha beta) alpha) (+.f64 (*.f64 2 alpha) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) 1))
(+.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) 1) (*.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 1))
(+.f64 (*.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))) (*.f64 2 (+.f64 beta (+.f64 alpha 2))))
(+.f64 (*.f64 2 (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))))
(+.f64 (*.f64 2 (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 (+.f64 alpha beta) (+.f64 beta 2)) (+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 2 (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (+.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))) (*.f64 alpha (+.f64 beta 2)))
(+.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) beta))
(+.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 alpha beta))) (*.f64 (+.f64 beta 2) 2))
(+.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) 2))
(+.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 2 (+.f64 beta (+.f64 alpha 2)))) (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(+.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 alpha beta) (+.f64 beta 2))) (*.f64 2 (+.f64 beta 2)))
(+.f64 (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))) (*.f64 2 (+.f64 beta (+.f64 alpha 2))))
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta 2))) (*.f64 alpha alpha))
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 alpha beta))) (*.f64 alpha 2))
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 alpha beta) alpha)) (*.f64 2 alpha))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 1)
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (-.f64 alpha beta) 2) (-.f64 (-.f64 alpha beta) 2)))
(/.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (-.f64 alpha beta) 2))
(/.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 alpha 2))) (-.f64 (-.f64 alpha beta) 2))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 beta (+.f64 alpha 2))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (-.f64 (*.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))) (-.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))) 3)) (+.f64 (*.f64 (*.f64 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 (-.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 (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)))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(exp.f64 (*.f64 2 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(fma.f64 alpha (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))
(fma.f64 (+.f64 beta (+.f64 alpha 2)) alpha (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 alpha 2))))
Outputs
(/.f64 (+.f64 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)))))))
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1
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1
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(/.f64 (+.f64 1 alpha) beta)
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(/.f64 (*.f64 (*.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 (+.f64 beta 1) (+.f64 alpha 1))
0.0b
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
2.3b
(/.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))))
3.1b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))
Compiler

Compiled 85 to 53 computations (37.6% saved)

series11.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
6.0ms
beta
@-inf
(*.f64 (+.f64 beta 1) (+.f64 alpha 1))
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))))
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
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
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))))

rewrite109.0ms (0.5%)

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

simplify145.0ms (0.7%)

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))))))))
(+.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 1 alpha)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 alpha))) (+.f64 3 alpha)) (pow.f64 beta 2))) (+.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 alpha))) (+.f64 3 alpha)) (pow.f64 beta 2))) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 3)) alpha))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) beta))
(+.f64 1 alpha)
(+.f64 1 (+.f64 alpha (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)))) beta))))
(+.f64 1 (+.f64 alpha (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)))) beta)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)))) (+.f64 3 alpha)) (pow.f64 beta 2)))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)))) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 3))) (+.f64 alpha (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)))) beta)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)))) (+.f64 3 alpha)) (pow.f64 beta 2))))))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.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 (pow.f64 alpha 2) (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 3)) (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.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 (pow.f64 alpha 2) (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 3)) (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2)))) alpha) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 3)) (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 4)) (/.f64 beta (pow.f64 (+.f64 beta 3) 4)))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))))))
(+.f64 beta 1)
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) alpha))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 3)))) (pow.f64 alpha 2))) (/.f64 1 alpha))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) alpha))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 3)))) (pow.f64 alpha 3)) (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 3)))) (pow.f64 alpha 2))) (/.f64 1 alpha)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) alpha))
(+.f64 beta 1)
(+.f64 beta (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta 3)))) alpha)) 1))
(+.f64 beta (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta 3)))) alpha)) (+.f64 1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta 3)))) (+.f64 beta 3)) (pow.f64 alpha 2)))))
(+.f64 beta (+.f64 (/.f64 (*.f64 (+.f64 beta 3) (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta 3))))) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta 3)))) alpha)) (+.f64 1 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta 3)))) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 3)))))))
(/.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))))))
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(log.f64 (exp.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 3) (pow.f64 (+.f64 beta (+.f64 alpha 3)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))
(exp.f64 (-.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha)) (log1p.f64 (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (-.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha)) (log1p.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))
(-.f64 (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)
(*.f64 1 (*.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 1 alpha)) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(*.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))
(*.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))) 1)
(*.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)))
(*.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)))))))))
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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))

localize27.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))
2.3b
(/.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))))
3.1b
(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))
Compiler

Compiled 93 to 46 computations (50.5% saved)

series20.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
10.0ms
alpha
@-inf
(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))
1.0ms
alpha
@-inf
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
1.0ms
beta
@-inf
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
1.0ms
alpha
@0
(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))
1.0ms
beta
@0
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))

rewrite117.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
017145
1420133
26857133
Stop Event
node limit
Counts
3 → 168
Calls
Call 1
Inputs
(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (*.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 2) (*.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (/.f64 1 (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (-.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 alpha beta) (fma.f64 alpha beta 1)) (+.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 alpha beta) (fma.f64 alpha beta 1))) 1) (/.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 2) 1) (/.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (+.f64 alpha beta) 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 alpha (+.f64 beta 3)) alpha (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))))))))

simplify179.0ms (0.8%)

Algorithm
egg-herbie
Rules
1200×+-commutative
1018×associate-*r*
974×*-commutative
890×associate-+r+
880×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
082821216
1288121036
Stop Event
node limit
Counts
240 → 409
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.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 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.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 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))))
(+.f64 beta 1)
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(*.f64 -1 (-.f64 (*.f64 -1 beta) 1))
(+.f64 (*.f64 -1 (-.f64 (*.f64 -1 beta) 1)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) alpha)))
(+.f64 (*.f64 -1 (-.f64 (*.f64 -1 beta) 1)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 beta) 1)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))))
(/.f64 (+.f64 1 alpha) (+.f64 2 alpha))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.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 1 (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.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 (pow.f64 beta 3) (-.f64 (+.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) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (+.f64 2 alpha))))))
(+.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 alpha (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
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(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) 2) (+.f64 alpha (+.f64 beta 3))) (/.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) 2) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))) (/.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) 2)) (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 3) 1/3)
(pow.f64 (/.f64 1 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (neg.f64 (+.f64 alpha (+.f64 beta 3))))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(exp.f64 (log.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(+.f64 (*.f64 alpha alpha) (+.f64 (*.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (*.f64 alpha alpha) (+.f64 (*.f64 (+.f64 beta 3) alpha) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))))
(+.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))) (*.f64 alpha (+.f64 alpha (+.f64 beta 3))))
(+.f64 (*.f64 alpha (+.f64 beta 2)) (+.f64 (*.f64 (+.f64 beta 2) (+.f64 beta 3)) (*.f64 alpha (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (*.f64 alpha (+.f64 beta 2)) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 alpha (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (*.f64 (+.f64 alpha beta) alpha) (+.f64 (*.f64 3 alpha) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha beta)) (*.f64 (+.f64 alpha (+.f64 beta 3)) 2))
(+.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) beta) (+.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) 2) (*.f64 alpha (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) 2) (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha beta)))
(+.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) 2) (+.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) beta) (*.f64 alpha (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 3)))
(+.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) alpha))
(+.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) 3))
(+.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) 3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha beta)))
(+.f64 (*.f64 alpha (+.f64 alpha beta)) (+.f64 (*.f64 alpha 3) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (*.f64 alpha 3) (+.f64 (*.f64 alpha (+.f64 alpha beta)) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha beta)) (+.f64 (*.f64 (+.f64 beta 2) 3) (*.f64 alpha (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (*.f64 (+.f64 beta 2) 3) (+.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha beta)) (*.f64 alpha (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta 3))) (*.f64 2 (+.f64 alpha (+.f64 beta 3))))
(+.f64 (*.f64 beta (+.f64 alpha (+.f64 beta 3))) (+.f64 (*.f64 2 (+.f64 alpha (+.f64 beta 3))) (*.f64 alpha (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (*.f64 2 (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta 3))))
(+.f64 (*.f64 2 (+.f64 alpha (+.f64 beta 3))) (+.f64 (*.f64 beta (+.f64 alpha (+.f64 beta 3))) (*.f64 alpha (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (*.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 3))) 1) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))) 1))
(+.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))) 1) (*.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 3))) 1))
(+.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2))))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2))) (*.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))) (*.f64 3 (+.f64 alpha (+.f64 beta 2))))
(+.f64 (*.f64 3 (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta 2))))
(+.f64 (*.f64 3 alpha) (+.f64 (*.f64 (+.f64 alpha beta) alpha) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (*.f64 (+.f64 alpha beta) (+.f64 beta 2)) (+.f64 (*.f64 3 (+.f64 beta 2)) (*.f64 alpha (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (*.f64 3 (+.f64 beta 2)) (+.f64 (*.f64 (+.f64 alpha beta) (+.f64 beta 2)) (*.f64 alpha (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (+.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 3))) (*.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 2) (+.f64 beta 3)))
(+.f64 (+.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 3))) (*.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (+.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 alpha (+.f64 beta 3)) beta)) (*.f64 (+.f64 alpha (+.f64 beta 3)) 2))
(+.f64 (+.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 alpha (+.f64 beta 3)) 2)) (*.f64 (+.f64 alpha (+.f64 beta 3)) beta))
(+.f64 (+.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 beta 2) (+.f64 alpha beta))) (*.f64 (+.f64 beta 2) 3))
(+.f64 (+.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 beta 2) 3)) (*.f64 (+.f64 beta 2) (+.f64 alpha beta)))
(+.f64 (+.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 3))) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) (*.f64 2 (+.f64 alpha (+.f64 beta 3))))
(+.f64 (+.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 3))) (*.f64 2 (+.f64 alpha (+.f64 beta 3)))) (*.f64 beta (+.f64 alpha (+.f64 beta 3))))
(+.f64 (+.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 alpha beta) (+.f64 beta 2))) (*.f64 3 (+.f64 beta 2)))
(+.f64 (+.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 3))) (*.f64 3 (+.f64 beta 2))) (*.f64 (+.f64 alpha beta) (+.f64 beta 2)))
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))) (*.f64 alpha alpha)) (*.f64 alpha (+.f64 beta 3)))
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))) (*.f64 alpha alpha)) (*.f64 (+.f64 beta 3) alpha))
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 alpha beta) alpha)) (*.f64 3 alpha))
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))) (*.f64 alpha (+.f64 alpha beta))) (*.f64 alpha 3))
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))) (*.f64 alpha 3)) (*.f64 alpha (+.f64 alpha beta)))
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))) (*.f64 3 alpha)) (*.f64 (+.f64 alpha beta) alpha))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))) 1)
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -9)) (+.f64 alpha (-.f64 beta 3)))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 27 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 9 (*.f64 (+.f64 alpha beta) 3))))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 alpha (+.f64 beta 3))) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 alpha (+.f64 beta 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -9) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (-.f64 beta 3)))
(/.f64 (*.f64 (+.f64 27 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 9 (*.f64 (+.f64 alpha beta) 3))))
(/.f64 (-.f64 (*.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 3))) (*.f64 alpha (+.f64 alpha (+.f64 beta 3)))) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))))) (-.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 3))) 3) (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))) 3)) (+.f64 (*.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 3))) (*.f64 alpha (+.f64 alpha (+.f64 beta 3)))) (-.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (*.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -9)) (*.f64 (-.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 beta 3))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 27 (pow.f64 (+.f64 alpha beta) 3))) (*.f64 (-.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 9 (*.f64 (+.f64 alpha beta) 3)))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -9)) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (+.f64 alpha (-.f64 beta 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 27 (pow.f64 (+.f64 alpha beta) 3))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 9 (*.f64 (+.f64 alpha beta) 3)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -9) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 alpha (-.f64 beta 3)) (-.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -9) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (+.f64 alpha (-.f64 beta 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(/.f64 (*.f64 (+.f64 27 (pow.f64 (+.f64 alpha beta) 3)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 9 (*.f64 (+.f64 alpha beta) 3))) (-.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (+.f64 27 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 9 (*.f64 (+.f64 alpha beta) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))
(exp.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))
(fma.f64 alpha (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))))
(fma.f64 (+.f64 alpha (+.f64 beta 3)) alpha (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))))
Outputs
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.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 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.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 (+.f64 (/.f64 beta (+.f64 beta 2)) (-.f64 (/.f64 1 (+.f64 beta 2)) (+.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 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.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 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (*.f64 alpha alpha) (fma.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.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 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) (*.f64 alpha alpha) (fma.f64 (+.f64 (/.f64 beta (+.f64 beta 2)) (-.f64 (/.f64 1 (+.f64 beta 2)) (+.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 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 3)))
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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 (pow.f64 (*.f64 alpha (+.f64 (+.f64 beta alpha) 3)) 3) (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta alpha) 3)) 3)) (fma.f64 (*.f64 alpha (+.f64 (+.f64 beta alpha) 3)) (*.f64 alpha (+.f64 (+.f64 beta alpha) 3)) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta alpha) 3)) (-.f64 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 beta alpha) 3)) (*.f64 alpha (+.f64 (+.f64 beta alpha) 3))))))
(/.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 3))) 3) (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))) 3)) (fma.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 3))) (*.f64 alpha (+.f64 alpha (+.f64 beta 3))) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))) (-.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))) (*.f64 alpha (+.f64 alpha (+.f64 beta 3)))))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -9)) (*.f64 (-.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 beta 3))))
(*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9) (+.f64 alpha (+.f64 beta -3))))
(*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9) (+.f64 beta (+.f64 -3 alpha))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 27 (pow.f64 (+.f64 alpha beta) 3))) (*.f64 (-.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 9 (*.f64 (+.f64 alpha beta) 3)))))
(*.f64 (/.f64 (+.f64 27 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 9 (*.f64 3 (+.f64 beta alpha))))) (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -9)) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (+.f64 alpha (-.f64 beta 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9)) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (+.f64 alpha (+.f64 beta -3))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta alpha))))) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9) (+.f64 beta (+.f64 -3 alpha))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 27 (pow.f64 (+.f64 alpha beta) 3))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 9 (*.f64 (+.f64 alpha beta) 3)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 27 (pow.f64 (+.f64 beta alpha) 3))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 9 (*.f64 3 (+.f64 beta alpha))))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 9 (*.f64 3 (+.f64 beta alpha)))) (/.f64 (+.f64 27 (pow.f64 (+.f64 beta alpha) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta alpha)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -9) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 alpha (-.f64 beta 3)) (-.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9) (+.f64 alpha (+.f64 beta -3))))
(*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9) (+.f64 beta (+.f64 -3 alpha))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -9) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (+.f64 alpha (-.f64 beta 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9)) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (+.f64 alpha (+.f64 beta -3))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta alpha))))) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9) (+.f64 beta (+.f64 -3 alpha))))
(/.f64 (*.f64 (+.f64 27 (pow.f64 (+.f64 alpha beta) 3)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 9 (*.f64 (+.f64 alpha beta) 3))) (-.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 27 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 9 (*.f64 3 (+.f64 beta alpha))))) (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (+.f64 27 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 9 (*.f64 (+.f64 alpha beta) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (+.f64 27 (pow.f64 (+.f64 beta alpha) 3))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 9 (*.f64 3 (+.f64 beta alpha))))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 3)) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 9 (*.f64 3 (+.f64 beta alpha)))) (/.f64 (+.f64 27 (pow.f64 (+.f64 beta alpha) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta alpha)))))))
(pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) 1)
(*.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 (+.f64 beta alpha) 3))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) 2)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 (+.f64 beta alpha) 3))) 2)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) 3)
(*.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 (+.f64 beta alpha) 3))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(pow.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) 3) 1/3)
(*.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 (+.f64 beta alpha) 3))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 (+.f64 beta alpha) 3)) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))
(log.f64 (pow.f64 (exp.f64 (+.f64 (+.f64 beta alpha) 3)) (+.f64 (+.f64 beta 2) alpha)))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (log.f64 (exp.f64 (+.f64 alpha (+.f64 beta 3)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))))
(*.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 (+.f64 beta alpha) 3))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) 3))
(*.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 (+.f64 beta alpha) 3))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
(*.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 (+.f64 beta alpha) 3))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(*.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 (+.f64 beta alpha) 3))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 (+.f64 beta alpha) 3))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(exp.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 (+.f64 beta alpha) 3))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) 1))
(*.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 (+.f64 beta alpha) 3))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 (+.f64 beta alpha) 3))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(fma.f64 alpha (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 (+.f64 beta alpha) 3))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(fma.f64 (+.f64 alpha (+.f64 beta 3)) alpha (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 (+.f64 beta alpha) 3))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1)
0.0b
(/.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)))
0.1b
(/.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))
3.1b
(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))
Compiler

Compiled 124 to 60 computations (51.6% saved)

series9.0ms (0%)

Counts
4 → 96
Calls

24 calls:

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

rewrite106.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
934×associate-+l+
538×associate-+r+
514×+-commutative
388×add-sqr-sqrt
380×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016196
1368160
25911160
Stop Event
node limit
Counts
4 → 164
Calls
Call 1
Inputs
(/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1)))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.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
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) 2) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (fma.f64 alpha beta (+.f64 alpha beta))) (/.f64 1 (-.f64 -2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 (+.f64 alpha beta) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 alpha (+.f64 beta 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 alpha (+.f64 beta 1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 alpha)) (-.f64 1 (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 alpha (+.f64 beta 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 beta)) (-.f64 1 (+.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (-.f64 (/.f64 (*.f64 beta beta) (-.f64 alpha beta)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 alpha (+.f64 beta 1))) (/.f64 1 (+.f64 alpha (+.f64 beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 alpha (+.f64 beta -2))) (-.f64 (/.f64 4 (+.f64 alpha (+.f64 beta -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha beta)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (+.f64 alpha beta)) 3)))))

simplify242.0ms (1.1%)

Algorithm
egg-herbie
Rules
1458×+-commutative
1334×associate-*r*
1294×associate-*l*
1108×associate-+r+
860×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
095225474
1327225186
Stop Event
node limit
Counts
260 → 488
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.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 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.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 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))))
(+.f64 beta 1)
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(*.f64 -1 (-.f64 (*.f64 -1 beta) 1))
(+.f64 (*.f64 -1 (-.f64 (*.f64 -1 beta) 1)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) alpha)))
(+.f64 (*.f64 -1 (-.f64 (*.f64 -1 beta) 1)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 beta) 1)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))))
(/.f64 (+.f64 1 alpha) (+.f64 2 alpha))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.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 1 (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.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 (pow.f64 beta 3) (-.f64 (+.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) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (+.f64 2 alpha))))))
(+.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 alpha (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 alpha (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2)))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (pow.f64 beta 2)))
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(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
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(/.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 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) alpha))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) alpha)))) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 1) (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)))))) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 1) (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 1) (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2)))))) (*.f64 (-.f64 (*.f64 -1 beta) 1) (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2))) (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (+.f64 beta 1) (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2)))))) (pow.f64 alpha 4))) (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))))))) (*.f64 -2 (/.f64 (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2)) (pow.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))))))
(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))))))
(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 6)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))))))))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)))
(-.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 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) beta))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) beta)))) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 -2 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) beta)) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) 1)) (pow.f64 beta 3)))))) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 -2 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) beta)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) 1)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (*.f64 -1 alpha) 1)) (*.f64 -2 (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (*.f64 -2 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1))))))) (+.f64 2 alpha))) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 -2 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)))) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4)))))))) (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1)) (pow.f64 beta 2))))
(+.f64 beta 3)
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
alpha
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
alpha
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 3 alpha)
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
beta
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
beta
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 3 alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2))))) 1)
(*.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) 2) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))) 2) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))
(*.f64 (-.f64 -1 (fma.f64 alpha beta (+.f64 alpha beta))) (/.f64 1 (-.f64 -2 (+.f64 alpha beta))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 alpha (+.f64 beta -2)))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 4 (*.f64 (+.f64 alpha beta) 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) 1) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
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(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(exp.f64 (-.f64 (log1p.f64 (fma.f64 alpha beta (+.f64 alpha beta))) (log.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (fma.f64 alpha beta (+.f64 alpha beta))) (log.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(-.f64 (+.f64 alpha (+.f64 beta 3)) 0)
(-.f64 (+.f64 alpha (+.f64 beta 1)) -2)
(-.f64 (exp.f64 (log1p.f64 alpha)) (-.f64 1 (+.f64 beta 3)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 alpha (+.f64 beta 3)))) 1)
(-.f64 (exp.f64 (log1p.f64 beta)) (-.f64 1 (+.f64 alpha 3)))
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (-.f64 (/.f64 (*.f64 beta beta) (-.f64 alpha beta)) 3))
(-.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 alpha (+.f64 beta 1))) (/.f64 1 (+.f64 alpha (+.f64 beta 1))))
(-.f64 (/.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 alpha (+.f64 beta -2))) (-.f64 (/.f64 4 (+.f64 alpha (+.f64 beta -2))) 1))
(-.f64 (+.f64 4 (+.f64 alpha beta)) 1)
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 alpha (+.f64 beta -2)))) (/.f64 4 (+.f64 alpha (+.f64 beta -2))))
(-.f64 (+.f64 3 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta))) (/.f64 (*.f64 beta beta) (-.f64 alpha beta)))
(*.f64 1 (+.f64 alpha (+.f64 beta 3)))
(*.f64 (+.f64 alpha (+.f64 beta 3)) 1)
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3))))
(*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2) (cbrt.f64 (+.f64 alpha (+.f64 beta 3))))
(*.f64 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) -1) (/.f64 1 (+.f64 alpha (+.f64 beta 1))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 -1 (+.f64 alpha beta)))))
(/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 1)) (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 -1 (+.f64 alpha beta))) (+.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) -1) (+.f64 alpha (+.f64 beta 1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 -1 (+.f64 alpha beta))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) -1)) (neg.f64 (+.f64 alpha (+.f64 beta 1))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 -1 (+.f64 alpha beta)))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) 2) 9) (-.f64 (+.f64 alpha beta) 3))
(/.f64 (-.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (-.f64 -1 (+.f64 alpha beta)))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) 27) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) 9) (*.f64 (+.f64 alpha beta) 3)))
(pow.f64 (+.f64 alpha (+.f64 beta 3)) 1)
(pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 3)
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2))
(log.f64 (exp.f64 (+.f64 alpha (+.f64 beta 3))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (+.f64 beta 3)))))
(cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3))
(expm1.f64 (log1p.f64 (+.f64 alpha (+.f64 beta 3))))
(exp.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (*.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 alpha (+.f64 beta 3))))
(fma.f64 1 (+.f64 alpha beta) 3)
(fma.f64 1 (+.f64 beta (+.f64 alpha 2)) 1)
(fma.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha beta)) 3)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (+.f64 alpha beta)) 3)
Outputs
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.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 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.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 (+.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) (+.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 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.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 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (*.f64 alpha alpha) (fma.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.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 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) (*.f64 alpha alpha) (fma.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) (+.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 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.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 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (*.f64 alpha alpha) (fma.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3) (fma.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.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 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) (*.f64 alpha alpha) (fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3) (fma.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 beta (+.f64 beta 2))))))
(+.f64 beta 1)
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(+.f64 beta (-.f64 (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) (/.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta 2)))))
(+.f64 beta (-.f64 (+.f64 (/.f64 1 alpha) (+.f64 1 (/.f64 beta alpha))) (/.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta 2)))))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 1 alpha))))) (/.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta 2))))
(+.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta (-.f64 1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 1 alpha)) (+.f64 1 (/.f64 beta alpha))) (-.f64 beta (/.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta 2)))))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (fma.f64 -1 (/.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 1 alpha)) (/.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))))))) (/.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta 2))))
(+.f64 (+.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta (-.f64 1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 1 alpha)) (+.f64 1 (/.f64 beta alpha))) (/.f64 (+.f64 beta (-.f64 1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))) (-.f64 beta (/.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta 2)))))
(*.f64 -1 (-.f64 (*.f64 -1 beta) 1))
(neg.f64 (fma.f64 -1 beta -1))
(*.f64 1 (+.f64 beta 1))
(+.f64 (*.f64 -1 (-.f64 (*.f64 -1 beta) 1)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) alpha)))
(*.f64 -1 (+.f64 (fma.f64 -1 beta -1) (/.f64 (-.f64 (fma.f64 -1 beta -1) (*.f64 (+.f64 beta 2) (fma.f64 -1 beta -1))) alpha)))
(+.f64 (*.f64 -1 (-.f64 (*.f64 -1 beta) 1)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))))
(fma.f64 -1 (fma.f64 -1 beta -1) (fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 beta -1) (*.f64 (+.f64 beta 2) (fma.f64 -1 beta -1))) alpha) (/.f64 (-.f64 (fma.f64 -1 beta -1) (*.f64 (+.f64 beta 2) (fma.f64 -1 beta -1))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 beta) 1)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))))
(fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 beta -1) (*.f64 (+.f64 beta 2) (fma.f64 -1 beta -1))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 -1 (fma.f64 -1 beta -1) (fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 beta -1) (*.f64 (+.f64 beta 2) (fma.f64 -1 beta -1))) alpha) (/.f64 (-.f64 (fma.f64 -1 beta -1) (*.f64 (+.f64 beta 2) (fma.f64 -1 beta -1))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))))))
(/.f64 (+.f64 1 alpha) (+.f64 2 alpha))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (fma.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (fma.f64 beta (+.f64 (/.f64 alpha (+.f64 2 alpha)) (-.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.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 1 (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (fma.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 (*.f64 beta beta) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (fma.f64 beta (+.f64 (/.f64 alpha (+.f64 2 alpha)) (-.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (-.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.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 (pow.f64 beta 3) (-.f64 (+.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) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (+.f64 2 alpha))))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (fma.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 (*.f64 beta beta) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (+.f64 2 alpha))))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (fma.f64 beta (+.f64 (/.f64 alpha (+.f64 2 alpha)) (-.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (-.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (+.f64 2 alpha))))))
(+.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) (pow.f64 alpha 2)))
(/.f64 (neg.f64 (fma.f64 -1 beta -1)) (*.f64 alpha alpha))
(/.f64 (*.f64 1 (+.f64 beta 1)) (*.f64 alpha alpha))
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(fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 beta -1) (*.f64 (fma.f64 -1 beta -1) (+.f64 (*.f64 beta 2) (+.f64 beta 7)))) (pow.f64 alpha 3)) (/.f64 (*.f64 1 (+.f64 beta 1)) (*.f64 alpha alpha)))
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(+.f64 beta 3)
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(+.f64 beta (+.f64 alpha 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
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alpha
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
alpha
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 3 alpha)
(+.f64 alpha 3)
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
beta
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
beta
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
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(/.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 (fma.f64 alpha beta 1) alpha)) (+.f64 beta (+.f64 2 alpha))) (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(/.f64 (+.f64 beta (+.f64 (fma.f64 alpha beta 1) alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (+.f64 beta (+.f64 (fma.f64 alpha beta 1) alpha)) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2)))) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 2 alpha)))) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 (fma.f64 alpha beta 1) alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 (fma.f64 alpha beta 1) alpha)) (+.f64 beta (+.f64 2 alpha)))) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) 1)
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(/.f64 (+.f64 beta (+.f64 (fma.f64 alpha beta 1) alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1)))) (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 (fma.f64 alpha beta 1) alpha))) (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 3)
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(/.f64 (+.f64 beta (+.f64 (fma.f64 alpha beta 1) alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) 3) 1/3)
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(/.f64 (+.f64 beta (+.f64 (fma.f64 alpha beta 1) alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(pow.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) -1)
(/.f64 1 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))))
(/.f64 1 (*.f64 (/.f64 1 (+.f64 beta (+.f64 (fma.f64 alpha beta 1) alpha))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(neg.f64 (/.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2))) (-.f64 -2 (+.f64 alpha beta))))
(neg.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (neg.f64 (/.f64 (+.f64 beta (+.f64 (fma.f64 alpha beta 1) alpha)) (+.f64 beta (+.f64 2 alpha)))) (-.f64 (-.f64 -2 beta) alpha))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 (fma.f64 alpha beta 1) alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(/.f64 (+.f64 beta (+.f64 (fma.f64 alpha beta 1) alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(/.f64 (+.f64 beta (+.f64 (fma.f64 alpha beta 1) alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) 3))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(/.f64 (+.f64 beta (+.f64 (fma.f64 alpha beta 1) alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 2 alpha))) 3) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 (fma.f64 alpha beta 1) alpha)) (+.f64 beta (+.f64 2 alpha))) 3) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(/.f64 (+.f64 beta (+.f64 (fma.f64 alpha beta 1) alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(exp.f64 (-.f64 (log1p.f64 (fma.f64 alpha beta (+.f64 alpha beta))) (log.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(exp.f64 (-.f64 (log1p.f64 (fma.f64 alpha beta (+.f64 beta alpha))) (*.f64 2 (log.f64 (+.f64 beta (+.f64 2 alpha))))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (fma.f64 alpha beta (+.f64 alpha beta))) (log.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 1))
(exp.f64 (-.f64 (log1p.f64 (fma.f64 alpha beta (+.f64 beta alpha))) (*.f64 2 (log.f64 (+.f64 beta (+.f64 2 alpha))))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(/.f64 (+.f64 beta (+.f64 (fma.f64 alpha beta 1) alpha)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(-.f64 (+.f64 alpha (+.f64 beta 3)) 0)
(+.f64 beta (+.f64 alpha 3))
(-.f64 (+.f64 alpha (+.f64 beta 1)) -2)
(+.f64 beta (+.f64 alpha 3))
(-.f64 (exp.f64 (log1p.f64 alpha)) (-.f64 1 (+.f64 beta 3)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 alpha)) 1) (+.f64 beta 3))
(-.f64 (exp.f64 (log1p.f64 alpha)) (-.f64 -2 beta))
(-.f64 (exp.f64 (log1p.f64 (+.f64 alpha (+.f64 beta 3)))) 1)
(+.f64 beta (+.f64 alpha 3))
(-.f64 (exp.f64 (log1p.f64 beta)) (-.f64 1 (+.f64 alpha 3)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 beta)) 1) (+.f64 alpha 3))
(-.f64 (exp.f64 (log1p.f64 beta)) (-.f64 -2 alpha))
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (-.f64 (/.f64 (*.f64 beta beta) (-.f64 alpha beta)) 3))
(+.f64 (-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 beta (/.f64 (-.f64 alpha beta) beta))) 3)
(+.f64 3 (-.f64 (/.f64 alpha (/.f64 (-.f64 alpha beta) alpha)) (/.f64 beta (/.f64 (-.f64 alpha beta) beta))))
(-.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 alpha (+.f64 beta 1))) (/.f64 1 (+.f64 alpha (+.f64 beta 1))))
(-.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 (+.f64 beta 1) alpha)) (/.f64 1 (+.f64 (+.f64 beta 1) alpha)))
(-.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 1 (+.f64 beta alpha))) (/.f64 1 (+.f64 1 (+.f64 beta alpha))))
(-.f64 (/.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 alpha (+.f64 beta -2))) (-.f64 (/.f64 4 (+.f64 alpha (+.f64 beta -2))) 1))
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta alpha) 2) (+.f64 alpha (+.f64 beta -2))) (/.f64 4 (+.f64 alpha (+.f64 beta -2)))) 1)
(+.f64 1 (-.f64 (/.f64 (pow.f64 (+.f64 beta alpha) 2) (+.f64 beta (+.f64 alpha -2))) (/.f64 4 (+.f64 beta (+.f64 alpha -2)))))
(-.f64 (+.f64 4 (+.f64 alpha beta)) 1)
(+.f64 beta (+.f64 alpha 3))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (+.f64 alpha beta) 2) (+.f64 alpha (+.f64 beta -2)))) (/.f64 4 (+.f64 alpha (+.f64 beta -2))))
(+.f64 (-.f64 (/.f64 (pow.f64 (+.f64 beta alpha) 2) (+.f64 alpha (+.f64 beta -2))) (/.f64 4 (+.f64 alpha (+.f64 beta -2)))) 1)
(+.f64 1 (-.f64 (/.f64 (pow.f64 (+.f64 beta alpha) 2) (+.f64 beta (+.f64 alpha -2))) (/.f64 4 (+.f64 beta (+.f64 alpha -2)))))
(-.f64 (+.f64 3 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta))) (/.f64 (*.f64 beta beta) (-.f64 alpha beta)))
(+.f64 (-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha beta)) (/.f64 beta (/.f64 (-.f64 alpha beta) beta))) 3)
(+.f64 3 (-.f64 (/.f64 alpha (/.f64 (-.f64 alpha beta) alpha)) (/.f64 beta (/.f64 (-.f64 alpha beta) beta))))
(*.f64 1 (+.f64 alpha (+.f64 beta 3)))
(+.f64 beta (+.f64 alpha 3))
(*.f64 (+.f64 alpha (+.f64 beta 3)) 1)
(+.f64 beta (+.f64 alpha 3))
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3))))
(+.f64 beta (+.f64 alpha 3))
(*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2))
(+.f64 beta (+.f64 alpha 3))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2) (cbrt.f64 (+.f64 alpha (+.f64 beta 3))))
(+.f64 beta (+.f64 alpha 3))
(*.f64 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) -1) (/.f64 1 (+.f64 alpha (+.f64 beta 1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (/.f64 1 (+.f64 (+.f64 beta 1) alpha)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (/.f64 1 (+.f64 1 (+.f64 beta alpha))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 -1 (+.f64 alpha beta)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (-.f64 -1 (+.f64 beta alpha))) (+.f64 1 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3)) (/.f64 1 (+.f64 -1 (-.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta alpha)))))
(/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 1)) (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (/.f64 1 (+.f64 (+.f64 beta 1) alpha)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (/.f64 1 (+.f64 1 (+.f64 beta alpha))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 -1 (+.f64 alpha beta))) (+.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (-.f64 -1 (+.f64 beta alpha))) (+.f64 1 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3)) (/.f64 1 (+.f64 -1 (-.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta alpha)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) -1) (+.f64 alpha (+.f64 beta 1)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 (+.f64 beta 1) alpha))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 1 (+.f64 beta alpha)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 -1 (+.f64 alpha beta))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3)) (+.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (-.f64 -1 (+.f64 beta alpha))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3)) (+.f64 -1 (-.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta alpha))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) -1)) (neg.f64 (+.f64 alpha (+.f64 beta 1))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) 1) (neg.f64 (+.f64 (+.f64 beta 1) alpha)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (neg.f64 (+.f64 1 (+.f64 beta alpha))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 -1 (+.f64 alpha beta)))))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (-.f64 -1 (+.f64 beta alpha)))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3)) (+.f64 (-.f64 1 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (+.f64 beta alpha)))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) 2) 9) (-.f64 (+.f64 alpha beta) 3))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9) (+.f64 alpha (-.f64 beta 3)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9) (+.f64 beta (+.f64 alpha -3)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (-.f64 -1 (+.f64 alpha beta)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (-.f64 -1 (+.f64 beta alpha)))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) 27) (-.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) 9) (*.f64 (+.f64 alpha beta) 3)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) 27) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (-.f64 9 (*.f64 3 (+.f64 beta alpha)))))
(pow.f64 (+.f64 alpha (+.f64 beta 3)) 1)
(+.f64 beta (+.f64 alpha 3))
(pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)
(+.f64 beta (+.f64 alpha 3))
(pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 3)
(+.f64 beta (+.f64 alpha 3))
(pow.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3) 1/3)
(+.f64 beta (+.f64 alpha 3))
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2))
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 3)) 2))
(log.f64 (exp.f64 (+.f64 alpha (+.f64 beta 3))))
(+.f64 beta (+.f64 alpha 3))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (+.f64 beta 3)))))
(+.f64 beta (+.f64 alpha 3))
(cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3))
(+.f64 beta (+.f64 alpha 3))
(expm1.f64 (log1p.f64 (+.f64 alpha (+.f64 beta 3))))
(+.f64 beta (+.f64 alpha 3))
(exp.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2))))
(exp.f64 (log1p.f64 (+.f64 beta (+.f64 2 alpha))))
(exp.f64 (*.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2))) 1))
(exp.f64 (log1p.f64 (+.f64 beta (+.f64 2 alpha))))
(log1p.f64 (expm1.f64 (+.f64 alpha (+.f64 beta 3))))
(+.f64 beta (+.f64 alpha 3))
(fma.f64 1 (+.f64 alpha beta) 3)
(fma.f64 1 (+.f64 beta alpha) 3)
(fma.f64 1 (+.f64 beta (+.f64 alpha 2)) 1)
(fma.f64 1 (+.f64 beta (+.f64 2 alpha)) 1)
(fma.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) 1)
(fma.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha beta)) 3)
(fma.f64 (sqrt.f64 (+.f64 beta alpha)) (sqrt.f64 (+.f64 beta alpha)) 3)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (+.f64 alpha beta)) 3)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (cbrt.f64 (+.f64 beta alpha)) 3)

eval2.9s (13.1%)

Compiler

Compiled 125249 to 88849 computations (29.1% saved)

prune1.1s (5%)

Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New2382172399
Fresh000
Picked101
Done404
Total2387172404
Error
0.0b
Counts
2404 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
4.3b
(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 beta 2) (+.f64 alpha (*.f64 beta alpha))) 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
4.9b
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
4.9b
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
62.7b
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
0.1b
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))
24.7b
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
15.5b
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 2 alpha) (neg.f64 (*.f64 beta (+.f64 1 alpha)))))) (+.f64 alpha (+.f64 beta 3)))
14.4b
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
29.8b
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
61.4b
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
27.4b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
32.3b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
14.5b
(/.f64 (*.f64 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.9b
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))
0.1b
(*.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))))
0.1b
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
0.7b
(*.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))))
Compiler

Compiled 736 to 522 computations (29.1% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 87 to 58 computations (33.3% saved)

series51.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
37.0ms
alpha
@0
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))
3.0ms
alpha
@0
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2)))
1.0ms
beta
@0
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2)))
1.0ms
alpha
@-inf
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2)))
1.0ms
beta
@-inf
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2)))

rewrite127.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
017166
1415154
26592154
Stop Event
node limit
Counts
4 → 168
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))
(*.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))))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 beta) (/.f64 1 (+.f64 2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 beta)) (*.f64 (sqrt.f64 (+.f64 1 beta)) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (*.f64 (cbrt.f64 (+.f64 1 beta)) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (+.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 beta)) (/.f64 1 (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (/.f64 (+.f64 1 beta) (cbrt.f64 (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (-.f64 beta alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 beta)) (+.f64 2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 beta) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 beta) 3) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 2 (+.f64 alpha beta)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))))))))

simplify200.0ms (0.9%)

Algorithm
egg-herbie
Rules
1672×associate-/l*
1384×associate-/r*
1360×+-commutative
1030×associate-+r+
1020×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
099925124
1363024704
Stop Event
node limit
Counts
264 → 481
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha)))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))) (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))))) (*.f64 -1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha))))
(/.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 3)) (/.f64 1 alpha)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 3)) (/.f64 1 alpha))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3)))))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 5 (*.f64 2 alpha)) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3))))))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3)))))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (*.f64 (+.f64 5 (*.f64 2 alpha)) (+.f64 3 alpha))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)))) (+.f64 5 (*.f64 2 alpha))))) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (+.f64 1 alpha)) (pow.f64 beta 3))))
(+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) 2) (+.f64 1 alpha)))) (pow.f64 beta 4))))))
(+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) 2) (+.f64 1 alpha))))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) 2) (+.f64 1 alpha)))) (pow.f64 beta 4))))))))
(/.f64 1 (+.f64 beta 3))
(+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (pow.f64 (+.f64 beta 3) 2))) alpha) (/.f64 1 (+.f64 beta 3)))
(+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (pow.f64 (+.f64 beta 3) 2))) alpha) (+.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (/.f64 1 (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 2))))
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1
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1
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(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
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(/.f64 (+.f64 1 alpha) beta)
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(/.f64 (+.f64 1 alpha) beta)
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
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(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
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(/.f64 (+.f64 beta 1) alpha)
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(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))))) 1)
(*.f64 1 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))))
(*.f64 (+.f64 alpha 1) (/.f64 1 (+.f64 3 (+.f64 alpha beta))))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) 1)
(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))) (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (*.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))) 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (+.f64 3 (+.f64 alpha beta))) (+.f64 alpha 1))
(*.f64 (+.f64 -1 (neg.f64 alpha)) (/.f64 1 (+.f64 (neg.f64 (+.f64 alpha beta)) -3)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))) (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2)) (/.f64 (+.f64 alpha 1) (cbrt.f64 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (/.f64 (+.f64 alpha 1) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 (-.f64 alpha beta) 3))
(*.f64 (/.f64 (+.f64 alpha 1) (+.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)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 3 (+.f64 alpha beta))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (+.f64 3 (+.f64 alpha beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))))
(pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 alpha 1)) -1)
(neg.f64 (/.f64 (+.f64 alpha 1) (+.f64 (neg.f64 (+.f64 alpha beta)) -3)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (+.f64 3 (+.f64 alpha beta)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 3 (+.f64 alpha beta)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 3 (+.f64 alpha beta)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))))) 1)
(/.f64 1 (/.f64 (+.f64 2 (+.f64 alpha beta)) (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))))
(/.f64 1 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (+.f64 1 beta))))
(/.f64 1 (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 alpha 1))) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))))
(/.f64 1 (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)) (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 alpha 1)))))
(/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))))
(/.f64 (+.f64 alpha 1) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)) (*.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)) (+.f64 2 (+.f64 alpha beta))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta)))) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)))
(/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 alpha 1))) (+.f64 2 (+.f64 alpha beta))))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 2 (+.f64 alpha beta)) (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 alpha 1)))))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 alpha 1))))
(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (+.f64 1 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))
(/.f64 (/.f64 (+.f64 -1 (neg.f64 alpha)) (+.f64 3 (+.f64 alpha beta))) (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(/.f64 (+.f64 -1 (neg.f64 beta)) (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 alpha 1))) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (+.f64 -1 (neg.f64 beta))) (*.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta)))) (+.f64 -1 (neg.f64 beta))) (+.f64 (neg.f64 (+.f64 alpha beta)) -2))
(/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 alpha 1)) (*.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))))
(/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 -1 (neg.f64 alpha)) (+.f64 3 (+.f64 alpha beta)))) (+.f64 (neg.f64 (+.f64 alpha beta)) -2))
(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))) (*.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))))
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 1 beta)) (*.f64 (*.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 (+.f64 alpha beta))))
(/.f64 (*.f64 (/.f64 (+.f64 -1 (neg.f64 alpha)) (+.f64 3 (+.f64 alpha beta))) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))) (+.f64 (neg.f64 (+.f64 alpha beta)) -2))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 beta)) (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 (neg.f64 (+.f64 alpha beta)) -2))
(/.f64 (*.f64 (/.f64 (+.f64 -1 (neg.f64 alpha)) (+.f64 3 (+.f64 alpha beta))) (+.f64 1 beta)) (*.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (+.f64 2 (+.f64 alpha beta))))
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))) 1) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (+.f64 2 (+.f64 alpha beta))))
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (cbrt.f64 (+.f64 2 (+.f64 alpha beta))))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 beta)) 1) (*.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 alpha 1)))))
(/.f64 (*.f64 (/.f64 (+.f64 -1 (neg.f64 alpha)) (+.f64 3 (+.f64 alpha beta))) 1) (*.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta))))
(/.f64 (*.f64 (+.f64 alpha 1) (+.f64 -1 (neg.f64 beta))) (*.f64 (*.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta))) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(/.f64 (*.f64 (/.f64 (+.f64 -1 (neg.f64 alpha)) (+.f64 3 (+.f64 alpha beta))) (+.f64 -1 (neg.f64 beta))) (*.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(/.f64 (*.f64 (+.f64 1 beta) (+.f64 alpha 1)) (*.f64 (+.f64 2 (+.f64 alpha beta)) (*.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta)))))
(/.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 -1 (neg.f64 alpha)) (+.f64 3 (+.f64 alpha beta)))) (*.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 beta)) (+.f64 alpha 1)) (*.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (*.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta)))))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 beta)) (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))) (*.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (+.f64 2 (+.f64 alpha beta))))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 beta)) (/.f64 (+.f64 -1 (neg.f64 alpha)) (+.f64 3 (+.f64 alpha beta)))) (*.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -2) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))) (+.f64 (neg.f64 (+.f64 alpha beta)) -2))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (+.f64 1 beta))) (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)))
(pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (+.f64 1 beta))) (+.f64 2 (+.f64 alpha beta))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta)))) 3) (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta)))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)))))
(exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)))))
(-.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 1 beta)) (*.f64 (sqrt.f64 (+.f64 1 beta)) (/.f64 1 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))) (sqrt.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 (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 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (+.f64 1 beta))
(*.f64 (+.f64 -1 (neg.f64 beta)) (/.f64 1 (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(*.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 alpha) 2))
(*.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) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(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)))))
Outputs
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 3))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))
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(/.f64 1 alpha)
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(/.f64 1 alpha)
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(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
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(/.f64 (+.f64 1 alpha) beta)
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) (/.f64 (+.f64 1 beta) (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (/.f64 (+.f64 1 beta) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (-.f64 beta alpha) 2))
(/.f64 (*.f64 (+.f64 1 beta) (+.f64 (-.f64 beta alpha) -2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)))
(*.f64 (+.f64 beta (-.f64 -2 alpha)) (/.f64 (+.f64 1 beta) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2))))
(*.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 (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (+.f64 alpha (-.f64 2 beta)))) (/.f64 (+.f64 1 beta) (+.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
(*.f64 (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (+.f64 2 (-.f64 alpha beta)))) (/.f64 (+.f64 1 beta) (+.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 3))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 2 (+.f64 alpha beta))))
(*.f64 (sqrt.f64 (+.f64 1 beta)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 2 (+.f64 beta alpha))))
(*.f64 (sqrt.f64 (+.f64 1 beta)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 beta (+.f64 2 alpha))))
(*.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 (sqrt.f64 (+.f64 1 beta)) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (cbrt.f64 (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) 1) (/.f64 (cbrt.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 2 (+.f64 beta alpha))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (/.f64 (cbrt.f64 (+.f64 1 beta)) (+.f64 beta (+.f64 2 alpha))))
(*.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) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))) (/.f64 (cbrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (/.f64 (cbrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))
(*.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)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)))
(pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) 1)
(/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))) 2)
(/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))) 3)
(/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) 3) 1/3)
(/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 beta)) -1)
(/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))
(neg.f64 (/.f64 (+.f64 1 beta) (+.f64 (neg.f64 (+.f64 alpha beta)) -2)))
(/.f64 (-.f64 -1 beta) (+.f64 -2 (neg.f64 (+.f64 beta alpha))))
(/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 beta alpha)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))))
(/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))))
(/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) 3))
(/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 beta) 3) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3)))
(/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))))
(/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 2 (+.f64 alpha beta)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 2 (+.f64 beta alpha)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta (+.f64 2 alpha)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 2 (+.f64 alpha beta)))) 1))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 2 (+.f64 beta alpha)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta (+.f64 2 alpha)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))))
(/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))

localize24.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
2.3b
(/.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
beta
@0
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
0.0ms
alpha
@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))

rewrite59.0ms (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))))))))

simplify59.0ms (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))

localize40.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))
2.3b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
Compiler

Compiled 52 to 30 computations (42.3% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite99.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1864×associate-/l*
488×associate-+l+
428×+-commutative
352×add-sqr-sqrt
344×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01443
133643
2515543
Stop Event
node limit
Counts
1 → 42
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.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)) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 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simplify98.0ms (0.4%)

Algorithm
egg-herbie
Rules
696×associate-/l/
668×distribute-lft-in
604×distribute-rgt-in
488×associate-+l-
486×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03226982
111816548
257646504
Stop Event
node limit
Counts
66 → 144
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha)))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))) (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))))) (*.f64 -1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha))))
(/.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 3)) (/.f64 1 alpha)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))))) (pow.f64 alpha 3)) (/.f64 1 alpha))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3)))))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 5 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 5 (*.f64 2 alpha)) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3))))))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3)))))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (*.f64 (+.f64 5 (*.f64 2 alpha)) (+.f64 3 alpha))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 5 (*.f64 2 alpha)) 2)))) (+.f64 5 (*.f64 2 alpha))))) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (+.f64 1 alpha)) (pow.f64 beta 3))))
(+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) 2) (+.f64 1 alpha)))) (pow.f64 beta 4))))))
(+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) 2) (+.f64 1 alpha))))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) 2) (+.f64 1 alpha)))) (pow.f64 beta 4))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))) 1)
(*.f64 1 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 1 alpha) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) 1)
(*.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) (+.f64 1 alpha))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (neg.f64 (+.f64 alpha (+.f64 beta 3))))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 alpha (+.f64 beta 3))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 alpha (+.f64 beta 2))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))
(pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 alpha))) -1)
(neg.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (neg.f64 (+.f64 alpha (+.f64 beta 3))))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))
Outputs
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))
(+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (*.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha))
(fma.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha)))
(fma.f64 -1 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 beta 2))))) (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (*.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha)))
(-.f64 (fma.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))) (*.f64 alpha (*.f64 alpha (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (fma.f64 beta 2 5) (+.f64 beta 2)) (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2))))))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))) (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha))))
(fma.f64 (-.f64 (-.f64 (+.f64 (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (+.f64 beta 2) 3)))) (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (*.f64 (/.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 beta 3)) (/.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 beta 2)))) (+.f64 beta 2))))) (pow.f64 alpha 3) (fma.f64 -1 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 beta 2))))) (+.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (*.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha))))
(fma.f64 (-.f64 (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (+.f64 beta 2) 3)) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))) (-.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (fma.f64 beta 2 5) (+.f64 beta 2)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (fma.f64 beta 2 5) (+.f64 beta 2)) (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 3))))) (pow.f64 alpha 3) (-.f64 (fma.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))) (*.f64 alpha (*.f64 alpha (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (fma.f64 beta 2 5) (+.f64 beta 2)) (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)))))))
(fma.f64 (+.f64 (-.f64 (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (+.f64 beta 2) 3)) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 3)))) (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (fma.f64 beta 2 5) (+.f64 beta 2)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (fma.f64 beta 2 5) (+.f64 beta 2)) (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 3)))) (pow.f64 alpha 3) (-.f64 (fma.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))) (*.f64 alpha (*.f64 alpha (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2)) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 3)) (/.f64 (fma.f64 beta 2 5) (+.f64 beta 2)) (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)))))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 1 alpha))
(fma.f64 -1 (/.f64 (+.f64 (*.f64 beta 2) 4) (*.f64 alpha alpha)) (/.f64 1 alpha))
(-.f64 (/.f64 1 alpha) (/.f64 (fma.f64 beta 2 4) (*.f64 alpha alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha)))
(fma.f64 -1 (/.f64 (+.f64 (*.f64 beta 2) 4) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (neg.f64 (*.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 (*.f64 beta 2) 4)))) (pow.f64 alpha 3)) (/.f64 1 alpha)))
(-.f64 (-.f64 (/.f64 1 alpha) (/.f64 (-.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (fma.f64 beta 2 5) (fma.f64 beta 2 4))) (pow.f64 alpha 3))) (/.f64 (fma.f64 beta 2 4) (*.f64 alpha alpha)))
(-.f64 (/.f64 1 alpha) (+.f64 (/.f64 (-.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (fma.f64 beta 2 5) (fma.f64 beta 2 4))) (pow.f64 alpha 3)) (/.f64 (fma.f64 beta 2 4) (*.f64 alpha alpha))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 5 (*.f64 2 beta)) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))))) (*.f64 -1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 beta 2))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 5 (*.f64 2 beta))))) (pow.f64 alpha 3))) (/.f64 1 alpha))))
(fma.f64 -1 (/.f64 (+.f64 (*.f64 beta 2) 4) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (+.f64 5 (*.f64 beta 2)) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (neg.f64 (*.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 (*.f64 beta 2) 4))))) (*.f64 (neg.f64 (+.f64 beta 3)) (*.f64 (+.f64 beta 2) (+.f64 (*.f64 beta 2) 4)))) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (neg.f64 (*.f64 (+.f64 5 (*.f64 beta 2)) (+.f64 (*.f64 beta 2) 4)))) (pow.f64 alpha 3)) (/.f64 1 alpha))))
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(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 beta 2))))
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(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 3 alpha))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))))
(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 beta (+.f64 2 alpha))) (+.f64 beta (+.f64 3 alpha))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))))
(/.f64 (/.f64 (*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (hypot.f64 1 (sqrt.f64 alpha))) (cbrt.f64 (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 alpha (+.f64 beta 3))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 alpha (+.f64 beta 2))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 3))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))))
(/.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))) (sqrt.f64 (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))) 2)))
(pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) 1)
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) 2)
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) 3)
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 alpha))) -1)
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(neg.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (neg.f64 (+.f64 alpha (+.f64 beta 3))))))
(/.f64 (*.f64 (-.f64 -1 alpha) 1) (*.f64 (+.f64 (+.f64 beta 2) alpha) (neg.f64 (+.f64 (+.f64 beta 3) alpha))))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (fma.f64 beta -1 -3) alpha))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha))) 2))
(fabs.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) 3))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))) 3)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))))

localize67.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite86.0ms (0.4%)

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

simplify136.0ms (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))

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 104 to 71 computations (31.7% saved)

series21.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
5.0ms
alpha
@-inf
(/.f64 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 2)))
4.0ms
beta
@-inf
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
2.0ms
alpha
@0
(/.f64 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 2)))
1.0ms
beta
@0
(/.f64 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 2)))
1.0ms
beta
@-inf
(/.f64 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 2)))

rewrite119.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
500×+-commutative
494×associate-+l+
460×add-sqr-sqrt
448×pow1
448×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018184
1442172
26965172
Stop Event
node limit
Counts
4 → 176
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
Outputs
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simplify214.0ms (1%)

Algorithm
egg-herbie
Rules
1282×associate-/r*
1280×associate-+r+
1208×associate-+l+
804×associate-*r/
738×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0103128068
1367627792
Stop Event
node limit
Counts
272 → 479
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))))))) (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4))))))
(+.f64 (/.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))))) (pow.f64 alpha 5)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 5))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4)))))))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))))))) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4))))))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
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(/.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 5 (*.f64 2 beta))) (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 5 (*.f64 2 beta)) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))))) (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (pow.f64 alpha 3))) (+.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 5 (*.f64 2 beta))) (pow.f64 alpha 2)))
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(/.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 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))) (pow.f64 alpha 2))))
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(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
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(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha)))) (+.f64 5 (*.f64 2 alpha)))) (pow.f64 beta 3))) (+.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 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha)))) (+.f64 5 (*.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 (+.f64 5 (*.f64 2 alpha)) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha)))))) (+.f64 5 (*.f64 2 alpha)))) (*.f64 (+.f64 2 alpha) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha)))) (+.f64 3 alpha)))) (pow.f64 beta 4))) (/.f64 alpha (pow.f64 beta 2))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.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 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.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 (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (-.f64 (+.f64 1 alpha) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (+.f64 1 alpha))))) (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (pow.f64 beta 3)))))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 2))))
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(/.f64 (+.f64 beta 1) (+.f64 beta 3))
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(+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 3)) (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.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 (pow.f64 alpha 2) (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 3)) (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2)))) alpha) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 3)) (/.f64 1 (pow.f64 (+.f64 beta 3) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 4)) (/.f64 beta (pow.f64 (+.f64 beta 3) 4)))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))))))
(+.f64 beta 1)
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(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
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(/.f64 1 (+.f64 beta 2))
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(/.f64 1 alpha)
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(/.f64 1 (+.f64 2 alpha))
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(/.f64 1 beta)
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(/.f64 1 beta)
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(/.f64 1 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))))
(/.f64 1 (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 alpha (+.f64 3 beta)) (*.f64 (+.f64 1 alpha) (+.f64 1 beta)))) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta)) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (+.f64 1 alpha) (*.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta)) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))
(/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 1))
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(/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 alpha (+.f64 3 beta)) (*.f64 (+.f64 1 alpha) (+.f64 1 beta)))))
(/.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))))))
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(/.f64 (*.f64 (+.f64 1 alpha) -1) (*.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta)) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))) 3)))
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(expm1.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))))) 1)
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(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
Outputs
(/.f64 (+.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 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 alpha (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (*.f64 2 (+.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 (/.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 2 (+.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 2 (+.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 (/.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 2 (+.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 (/.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 2 (+.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 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 (*.f64 beta 2) (+.f64 7 beta)) (pow.f64 (+.f64 beta 2) 4))) (pow.f64 (+.f64 beta 3) 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 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 2 (+.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 2 (+.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 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 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 (/.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 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (+.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 (/.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 2 (+.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 (/.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 2 (+.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 2 (+.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 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 2 (+.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 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 (*.f64 beta 2) (+.f64 7 beta)) (pow.f64 (+.f64 beta 2) 4))) (pow.f64 (+.f64 beta 3) 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 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 (/.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 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 3)) (/.f64 (+.f64 (*.f64 beta 2) (+.f64 7 beta)) (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 (/.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 2 (+.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 (/.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 2 (+.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 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 (*.f64 beta 2) (+.f64 7 beta)) (pow.f64 (+.f64 beta 2) 4))) (pow.f64 (+.f64 beta 3) 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 7 beta))))))
(-.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 (+.f64 beta 1) (*.f64 (-.f64 -1 beta) (+.f64 (+.f64 beta 7) (*.f64 beta 2)))) (+.f64 (+.f64 beta 7) (*.f64 beta 2)) (*.f64 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (*.f64 2 (+.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 (/.f64 beta (*.f64 alpha alpha)) (-.f64 (fma.f64 -1 (/.f64 (fma.f64 (+.f64 (+.f64 beta 1) (*.f64 (-.f64 -1 beta) (+.f64 (*.f64 beta 2) (+.f64 7 beta)))) (+.f64 (*.f64 beta 2) (+.f64 7 beta)) (*.f64 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (*.f64 2 (+.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 2) (+.f64 7 beta)))))))
(-.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 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta (*.f64 alpha alpha))) (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (+.f64 (+.f64 beta 7) (*.f64 beta 2)) (fma.f64 (+.f64 (+.f64 beta 1) (*.f64 (-.f64 -1 beta) (+.f64 (+.f64 beta 7) (*.f64 beta 2)))) (+.f64 (+.f64 beta 7) (*.f64 beta 2)) (*.f64 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))))) (fma.f64 (+.f64 (+.f64 beta 1) (*.f64 (-.f64 -1 beta) (+.f64 (+.f64 beta 7) (*.f64 beta 2)))) (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 5)) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 (+.f64 beta 1) (*.f64 (-.f64 -1 beta) (+.f64 (+.f64 beta 7) (*.f64 beta 2)))) (+.f64 (+.f64 beta 7) (*.f64 beta 2)) (*.f64 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (*.f64 2 (+.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)))))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
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(/.f64 (+.f64 beta 1) alpha)
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(*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha)))
(*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha))))
(exp.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2))) (log1p.f64 beta))))
(exp.f64 (+.f64 (-.f64 (log1p.f64 alpha) (log1p.f64 (+.f64 beta (+.f64 2 alpha)))) (log1p.f64 beta)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2))) (log1p.f64 beta))) 1))
(exp.f64 (+.f64 (-.f64 (log1p.f64 alpha) (log1p.f64 (+.f64 beta (+.f64 2 alpha)))) (log1p.f64 beta)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))))
(*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha)))
(*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 1)
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(*.f64 1 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)) (cbrt.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (cbrt.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)) (cbrt.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha)))))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(*.f64 (/.f64 1 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))
(*.f64 (-.f64 alpha (+.f64 beta 2)) (/.f64 1 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))
(*.f64 (/.f64 1 (+.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 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (/.f64 1 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -1) (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))) 1) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) -1)
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) 2)
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) 3)
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))

eval2.1s (9.8%)

Compiler

Compiled 78233 to 57392 computations (26.6% saved)

prune668.0ms (3%)

Pruning

28 alts after pruning (25 fresh and 3 done)

PrunedKeptTotal
New1605191624
Fresh6612
Picked011
Done224
Total1613281641
Error
0b
Counts
1641 → 28
Alt Table
Click to see full alt table
StatusErrorProgram
33.7b
(pow.f64 beta -2)
4.3b
(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 beta 2) (+.f64 alpha (*.f64 beta alpha))) 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
25.5b
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
4.9b
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
24.7b
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
0.1b
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))))
15.5b
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 2 alpha) (neg.f64 (*.f64 beta (+.f64 1 alpha)))))) (+.f64 alpha (+.f64 beta 3)))
29.8b
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
62.5b
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
28.8b
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
34.2b
(/.f64 (-.f64 1 (/.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
16.1b
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
27.4b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
32.3b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
61.2b
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
14.5b
(/.f64 (*.f64 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
43.5b
(/.f64 alpha (*.f64 beta beta))
29.2b
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
34.1b
(/.f64 1 (*.f64 beta beta))
62.4b
(/.f64 1 alpha)
15.3b
(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
4.6b
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
0.1b
(*.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))))
0.1b
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))))
0.1b
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
4.9b
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
30.4b
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
30.5b
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
Compiler

Compiled 909 to 656 computations (27.8% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 84 to 46 computations (45.2% saved)

series6.0ms (0%)

Counts
4 → 96
Calls

24 calls:

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

rewrite120.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
016166
1390142
26213142
Stop Event
node limit
Counts
4 → 174
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))))
(/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))
(/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3)))) (*.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3)))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (neg.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) 1) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) (+.f64 1 beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) 2)) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) 1) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))))))))

simplify171.0ms (0.8%)

Algorithm
egg-herbie
Rules
1376×associate-*r*
1266×associate-*l*
1140×+-commutative
940×associate-*r/
896×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
091422356
1317722116
Stop Event
node limit
Counts
270 → 465
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))))))) (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4))))))
(+.f64 (/.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))))) (pow.f64 alpha 5)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 5))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4)))))))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))))))) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4))))))
(+.f64 (/.f64 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))) (pow.f64 beta 5)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)))))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4)))))))))
(/.f64 1 (+.f64 beta 3))
(+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (pow.f64 (+.f64 beta 3) 2))) alpha) (/.f64 1 (+.f64 beta 3)))
(+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (pow.f64 (+.f64 beta 3) 2))) alpha) (+.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (/.f64 1 (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 2))))
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (pow.f64 (+.f64 beta 3) 2))) alpha) (+.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (/.f64 1 (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 2)))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) 1)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) alpha)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta 2)) (pow.f64 alpha 3))) (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 2)))))
1
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) alpha)) (+.f64 1 (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) alpha)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 1 (*.f64 -1 (+.f64 beta 3)))) (pow.f64 alpha 2))) (+.f64 1 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) alpha)) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 1 (*.f64 -1 (+.f64 beta 3)))) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 1 (*.f64 -1 (+.f64 beta 3)))) (pow.f64 alpha 2))) (+.f64 1 (/.f64 1 alpha)))))
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))))) (/.f64 alpha (+.f64 3 alpha))))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha)))))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 3 alpha)) (+.f64 (/.f64 alpha (+.f64 3 alpha)) (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 4)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 4)))))))))
(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 2))) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 3)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 2))) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 beta 4)))))))
(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 2))) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 3)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 2))) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 beta 4)))))))
(/.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 (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 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))) 1)
(*.f64 1 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(*.f64 (+.f64 alpha 1) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(*.f64 (+.f64 alpha 1) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 1)
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(+.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)) (+.f64 alpha beta)) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)) 2))
(+.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)) 2) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)) (+.f64 alpha beta)))
(+.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)) (+.f64 alpha 2)) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)) beta))
(+.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)) beta) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)) (+.f64 alpha 2)))
(+.f64 (*.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta))) (*.f64 2 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta))))
(+.f64 (*.f64 2 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta))) (*.f64 (+.f64 alpha beta) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta))))
(+.f64 (*.f64 (+.f64 alpha 2) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta))) (*.f64 beta (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta))))
(+.f64 (*.f64 beta (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta))) (*.f64 (+.f64 alpha 2) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))) 1)
(*.f64 1 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))
(*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)))
(*.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)) 1)
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))) (sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))))
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))) 2) (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (-.f64 -2 (+.f64 alpha beta)) (/.f64 1 (/.f64 (-.f64 -1 beta) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)) 1) (+.f64 alpha (+.f64 beta 2)))
(*.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) 1) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)))
(*.f64 (/.f64 1 (+.f64 1 beta)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -1 beta)) (-.f64 -2 (+.f64 alpha beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 1) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (+.f64 1 beta)) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) 2)) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 1 beta)) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) 2)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))))
(pow.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)) 1)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))) 2)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) -1)
(neg.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 -1 beta) (+.f64 alpha (+.f64 beta 2)))))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3) (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.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 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 alpha (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))))))
(+.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 alpha (+.f64 (/.f64 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 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) alpha (neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 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 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 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) alpha (neg.f64 (*.f64 alpha (*.f64 alpha (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (*.f64 2 (+.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 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 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 beta (+.f64 (*.f64 beta 2) 7)) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 (*.f64 beta 2) 7)))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) alpha (neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (+.f64 (*.f64 beta 2) 7)) (pow.f64 (+.f64 beta 2) 4))))))))))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
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1
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1
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(/.f64 (+.f64 1 alpha) beta)
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(/.f64 (+.f64 1 alpha) beta)
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(/.f64 1 (+.f64 2 alpha))
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1
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(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 1 alpha) beta) (fma.f64 -1 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 beta beta) (+.f64 2 alpha))))))
1
(+.f64 (/.f64 1 beta) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta))))
(+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 (neg.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 1 beta) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (+.f64 2 alpha) beta) (/.f64 (+.f64 2 alpha) (/.f64 (*.f64 beta beta) (+.f64 1 (neg.f64 (+.f64 2 alpha)))))))))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 (*.f64 (neg.f64 (+.f64 2 alpha)) (neg.f64 (+.f64 1 alpha))) (*.f64 beta beta))) (+.f64 1 (/.f64 1 beta)))
(+.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 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 3) (+.f64 1 (neg.f64 (+.f64 2 alpha))))) (/.f64 1 beta)) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (+.f64 2 alpha) beta) (/.f64 (+.f64 2 alpha) (/.f64 (*.f64 beta beta) (+.f64 1 (neg.f64 (+.f64 2 alpha)))))))))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 3) (neg.f64 (+.f64 1 alpha)))) (+.f64 1 (/.f64 1 beta))) (fma.f64 -1 (/.f64 (+.f64 2 alpha) beta) (/.f64 (*.f64 (neg.f64 (+.f64 2 alpha)) (neg.f64 (+.f64 1 alpha))) (*.f64 beta beta))))
(/.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 1 (+.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 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 beta 2) (*.f64 alpha alpha)))))
(+.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))))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.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 (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 (+.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 (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 1 (+.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) (fma.f64 -1 (/.f64 (+.f64 beta 1) (/.f64 (*.f64 alpha alpha) (+.f64 beta 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 beta alpha) (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 1) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 1 alpha)) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (+.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (+.f64 beta 1) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 1 alpha))) (/.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 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 beta alpha) (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 1) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 1 alpha)) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))))))
(fma.f64 -1 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (+.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (+.f64 beta 1) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 1 alpha))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 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) (fma.f64 -1 (/.f64 (+.f64 beta 1) (/.f64 (*.f64 alpha alpha) (+.f64 beta 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 beta alpha) (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 1) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 1 alpha)) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (+.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (+.f64 beta 1) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 1 alpha))) (/.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 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4)) (+.f64 (/.f64 beta alpha) (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 1) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 1 alpha)) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))))))
(fma.f64 -1 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 4) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (+.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (+.f64 beta 1) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 1 alpha))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1))))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1))))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1))))
(/.f64 (pow.f64 alpha 2) (+.f64 beta 1))
(/.f64 (*.f64 alpha alpha) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1))))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1))))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1))))
(/.f64 (pow.f64 alpha 2) (+.f64 beta 1))
(/.f64 (*.f64 alpha alpha) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1))))
(+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)) (*.f64 2 (/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 1) alpha))))
(+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)) (/.f64 (*.f64 2 (+.f64 beta 2)) (/.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 (*.f64 alpha alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1))) (*.f64 2 (/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 1) alpha))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)) (/.f64 (*.f64 2 (+.f64 beta 2)) (/.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 (*.f64 alpha alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1))) (*.f64 2 (/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 1) alpha))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)) (/.f64 (*.f64 2 (+.f64 beta 2)) (/.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 (*.f64 2 (+.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 (-.f64 (pow.f64 (+.f64 2 alpha) 2) 3) (*.f64 2 alpha)) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (-.f64 (*.f64 2 (+.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 (-.f64 (pow.f64 (+.f64 2 alpha) 2) 3) (*.f64 2 alpha)) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (-.f64 (*.f64 2 (+.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 (+.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 (+.f64 beta (+.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 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 (+.f64 beta (*.f64 2 (+.f64 2 alpha))) 1)
(+.f64 (+.f64 beta 3) (*.f64 2 alpha))
(+.f64 beta (+.f64 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 beta (+.f64 3 (*.f64 2 alpha))) (/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (*.f64 2 alpha)))) beta))
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(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) 1) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)))
(/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 beta 1))
(/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1))
(*.f64 (/.f64 1 (+.f64 1 beta)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 beta 1))
(/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 2) alpha)))) (/.f64 (+.f64 (+.f64 beta 2) alpha) (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 2) alpha)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))) (/.f64 (+.f64 beta (+.f64 2 alpha)) (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 2) alpha))) 2)) (/.f64 (+.f64 (+.f64 beta 2) alpha) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 2) alpha)))))
(/.f64 (*.f64 1 (/.f64 (+.f64 beta (+.f64 2 alpha)) (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 (+.f64 alpha (+.f64 beta 2)) (-.f64 -1 beta)) (-.f64 -2 (+.f64 alpha beta)))
(*.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 (+.f64 (+.f64 beta 2) alpha) (-.f64 -1 beta)))
(*.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 2 alpha)) (-.f64 -1 beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) 1) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (*.f64 (sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (+.f64 (+.f64 beta 2) alpha))))
(*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (+.f64 1 beta)) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (*.f64 (sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (+.f64 (+.f64 beta 2) alpha))))
(*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) 2)) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 2) alpha))) 2)) (/.f64 (sqrt.f64 (+.f64 (+.f64 beta 2) alpha)) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 2) alpha)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))) 2)) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)) 2) (*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (cbrt.f64 (+.f64 (+.f64 beta 2) alpha))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)) (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (+.f64 1 beta)) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)) 2) (*.f64 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (cbrt.f64 (+.f64 (+.f64 beta 2) alpha))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)) (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)) 2) (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 2) alpha)))) (/.f64 (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 2) alpha)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) 2)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)) 2) (cbrt.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 beta 1)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 2) alpha))) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) (cbrt.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))) 2))
(pow.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)) 1)
(/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 beta 1))
(/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))) 2)
(/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 beta 1))
(/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))) 3)
(/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 beta 1))
(/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)) 3) 1/3)
(/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 beta 1))
(/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1))
(pow.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) -1)
(/.f64 1 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))
(/.f64 1 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(neg.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 -1 beta) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (neg.f64 (+.f64 (+.f64 beta 2) alpha)) (/.f64 (-.f64 -1 beta) (+.f64 (+.f64 beta 2) alpha)))
(neg.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (-.f64 -1 beta)))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)) 2))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 beta 1)) 2))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1)) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))))
(/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 beta 1))
(/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)))))
(/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 beta 1))
(/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta)) 3))
(/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 beta 1))
(/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3) (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 3) (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 2) alpha)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3) (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))))
(/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 beta 1))
(/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1))
(exp.f64 (log.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))))
(/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 beta 1))
(/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))) 1))
(/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 beta 1))
(/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) (+.f64 1 beta))))
(/.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2) (+.f64 beta 1))
(/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 28 to 21 computations (25% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite92.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
998×*-commutative
792×unswap-sqr
738×distribute-lft-in
736×associate-/r*
684×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01044
122744
2298144
Stop Event
node limit
Counts
2 → 218
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) beta) (*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 beta beta)) (*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta -2))) (*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)))) (*.f64 -2 (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 beta beta) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))) (*.f64 (+.f64 4 (*.f64 beta -2)) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 4 (*.f64 beta -2)) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))) (*.f64 (*.f64 beta beta) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2) (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -2)) (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta -2) (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 -1 (+.f64 beta 3)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 (+.f64 beta 3)) (+.f64 beta 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta 2) -1) (/.f64 1 (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -1) (pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -1) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2) -1))))) 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6))))))

simplify134.0ms (0.6%)

Algorithm
egg-herbie
Rules
680×associate-+r+
662×+-commutative
628×associate-/l*
622×*-commutative
610×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058210844
116359046
263069046
Stop Event
node limit
Counts
242 → 359
Calls
Call 1
Inputs
1/6
(+.f64 (*.f64 -5/36 beta) 1/6)
(+.f64 (*.f64 -5/36 beta) (+.f64 1/6 (*.f64 19/216 (pow.f64 beta 2))))
(+.f64 (*.f64 -5/36 beta) (+.f64 1/6 (+.f64 (*.f64 -65/1296 (pow.f64 beta 3)) (*.f64 19/216 (pow.f64 beta 2)))))
(/.f64 1 (pow.f64 beta 2))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (*.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
(/.f64 1 (pow.f64 beta 2))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (*.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
6
(+.f64 6 (*.f64 5 beta))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) beta) (*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) -2))
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(/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 -1 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)) (/.f64 -1 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(/.f64 (-.f64 (*.f64 beta (*.f64 beta (pow.f64 (+.f64 beta 3) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) 4)) (*.f64 (+.f64 beta 3) (+.f64 beta -2)))
(/.f64 (-.f64 4 (*.f64 beta beta)) (*.f64 (/.f64 1 (+.f64 beta 3)) (-.f64 2 beta)))
(/.f64 (-.f64 9 (*.f64 beta beta)) (*.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 3 beta)))
(/.f64 (+.f64 (pow.f64 (*.f64 beta (+.f64 beta 3)) 3) (pow.f64 (+.f64 (*.f64 beta 2) 6) 3)) (+.f64 (*.f64 beta (*.f64 beta (pow.f64 (+.f64 beta 3) 2))) (*.f64 (+.f64 (*.f64 beta 2) 6) (-.f64 (+.f64 (*.f64 beta 2) 6) (*.f64 beta (+.f64 beta 3))))))
(/.f64 (+.f64 (pow.f64 (*.f64 beta (+.f64 beta 3)) 3) (pow.f64 (+.f64 (*.f64 beta 2) 6) 3)) (*.f64 1 (+.f64 (*.f64 beta (*.f64 beta (pow.f64 (+.f64 beta 3) 2))) (*.f64 (+.f64 (*.f64 beta 2) 6) (-.f64 (+.f64 (*.f64 beta 2) 6) (*.f64 beta (+.f64 beta 3)))))))
(/.f64 (*.f64 (fma.f64 beta beta -9) (fma.f64 beta beta -4)) (*.f64 (+.f64 beta -3) (+.f64 beta -2)))
(/.f64 (*.f64 (fma.f64 beta beta -9) (fma.f64 beta beta -4)) (*.f64 1 (*.f64 (+.f64 beta -3) (+.f64 beta -2))))
(/.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 27 (pow.f64 beta 3))) (*.f64 (+.f64 beta -2) (+.f64 9 (*.f64 beta (+.f64 beta -3)))))
(/.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 27 (pow.f64 beta 3))) (*.f64 1 (*.f64 (+.f64 beta -2) (+.f64 9 (*.f64 beta (+.f64 beta -3))))))
(/.f64 (*.f64 (fma.f64 beta beta -9) (+.f64 8 (pow.f64 beta 3))) (*.f64 (+.f64 beta -3) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(/.f64 (*.f64 (fma.f64 beta beta -9) (+.f64 8 (pow.f64 beta 3))) (*.f64 1 (*.f64 (+.f64 beta -3) (+.f64 4 (*.f64 beta (+.f64 beta -2))))))
(/.f64 (*.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3))) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(/.f64 (*.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 1 (*.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))))
(/.f64 (neg.f64 (fma.f64 beta beta -9)) (*.f64 (/.f64 1 (+.f64 beta 2)) (neg.f64 (+.f64 beta -3))))
(/.f64 (+.f64 (neg.f64 (pow.f64 beta 3)) -27) (*.f64 (/.f64 1 (+.f64 beta 2)) (neg.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3))))))
(/.f64 (neg.f64 (fma.f64 beta beta -4)) (*.f64 (/.f64 1 (+.f64 beta 3)) (neg.f64 (+.f64 beta -2))))
(/.f64 (+.f64 -8 (neg.f64 (pow.f64 beta 3))) (*.f64 (/.f64 1 (+.f64 beta 3)) (neg.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))))))
(/.f64 (/.f64 1 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2)) (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -2))) (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(/.f64 (/.f64 1 (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)))) (+.f64 beta -2))
(/.f64 (/.f64 1 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) -1)) (/.f64 1 (+.f64 beta 3)))
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -1)) (pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -1))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2) -1)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -1))
(/.f64 (/.f64 (+.f64 beta 2) 1) (/.f64 1 (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 2) (sqrt.f64 (/.f64 1 (+.f64 beta 3)))) (sqrt.f64 (/.f64 1 (+.f64 beta 3))))
(/.f64 (/.f64 (+.f64 beta 2) (*.f64 (cbrt.f64 (/.f64 1 (+.f64 beta 3))) (cbrt.f64 (/.f64 1 (+.f64 beta 3))))) (cbrt.f64 (/.f64 1 (+.f64 beta 3))))
(/.f64 (/.f64 (+.f64 beta 2) (/.f64 1 (fma.f64 beta beta -9))) (+.f64 beta -3))
(/.f64 (/.f64 (+.f64 beta 2) (/.f64 1 (+.f64 27 (pow.f64 beta 3)))) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1) (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2))) (sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -2)))) (sqrt.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2) 1) (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2) (sqrt.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (sqrt.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (cbrt.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (cbrt.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2) (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -2)))) (cbrt.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(/.f64 (/.f64 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)) 1) (+.f64 beta -2))
(/.f64 (/.f64 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)) (sqrt.f64 (+.f64 beta -2))) (sqrt.f64 (+.f64 beta -2)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)) (*.f64 (cbrt.f64 (+.f64 beta -2)) (cbrt.f64 (+.f64 beta -2)))) (cbrt.f64 (+.f64 beta -2)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 8 (pow.f64 beta 3))) 1) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 8 (pow.f64 beta 3))) (sqrt.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))))) (sqrt.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(/.f64 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 8 (pow.f64 beta 3))) (*.f64 (cbrt.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2)))) (cbrt.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2)))))) (cbrt.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(/.f64 (/.f64 (*.f64 (+.f64 beta 2) (fma.f64 beta beta -9)) 1) (+.f64 beta -3))
(/.f64 (/.f64 (*.f64 (+.f64 beta 2) (fma.f64 beta beta -9)) (sqrt.f64 (+.f64 beta -3))) (sqrt.f64 (+.f64 beta -3)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 2) (fma.f64 beta beta -9)) (*.f64 (cbrt.f64 (+.f64 beta -3)) (cbrt.f64 (+.f64 beta -3)))) (cbrt.f64 (+.f64 beta -3)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 27 (pow.f64 beta 3))) 1) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(/.f64 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 27 (pow.f64 beta 3))) (sqrt.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3))))) (sqrt.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3)))))
(/.f64 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 27 (pow.f64 beta 3))) (*.f64 (cbrt.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3)))) (cbrt.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3)))))) (cbrt.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3)))))
(/.f64 (/.f64 (*.f64 (fma.f64 beta beta -9) (fma.f64 beta beta -4)) (+.f64 beta -3)) (+.f64 beta -2))
(/.f64 (/.f64 (*.f64 (fma.f64 beta beta -9) (+.f64 8 (pow.f64 beta 3))) (+.f64 beta -3)) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (/.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 27 (pow.f64 beta 3))) (+.f64 9 (*.f64 beta (+.f64 beta -3)))) (+.f64 beta -2))
(/.f64 (/.f64 (*.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 9 (*.f64 beta (+.f64 beta -3)))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (/.f64 (*.f64 (fma.f64 beta beta -9) (fma.f64 beta beta -4)) (+.f64 beta -2)) (+.f64 beta -3))
(/.f64 (/.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 27 (pow.f64 beta 3))) (+.f64 beta -2)) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(/.f64 (/.f64 (*.f64 (fma.f64 beta beta -9) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2)))) (+.f64 beta -3))
(/.f64 (/.f64 (*.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2)))) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3) 1/3)
(neg.f64 (*.f64 (+.f64 beta 2) (neg.f64 (+.f64 beta 3))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 3)) (+.f64 beta 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (+.f64 beta 3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(exp.f64 (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(fma.f64 beta (+.f64 beta 3) (+.f64 (*.f64 beta 2) 6))
(fma.f64 (+.f64 beta 3) beta (+.f64 (*.f64 beta 2) 6))
Outputs
1/6
(+.f64 (*.f64 -5/36 beta) 1/6)
(fma.f64 -5/36 beta 1/6)
(+.f64 (*.f64 -5/36 beta) (+.f64 1/6 (*.f64 19/216 (pow.f64 beta 2))))
(fma.f64 -5/36 beta (+.f64 1/6 (*.f64 19/216 (*.f64 beta beta))))
(fma.f64 -5/36 beta (fma.f64 19/216 (*.f64 beta beta) 1/6))
(+.f64 (*.f64 -5/36 beta) (+.f64 1/6 (+.f64 (*.f64 -65/1296 (pow.f64 beta 3)) (*.f64 19/216 (pow.f64 beta 2)))))
(+.f64 (fma.f64 -5/36 beta 1/6) (fma.f64 -65/1296 (pow.f64 beta 3) (*.f64 19/216 (*.f64 beta beta))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 5 (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -5 (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 5 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 -5 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (*.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 19 (pow.f64 beta 4))) (+.f64 (/.f64 5 (pow.f64 beta 3)) (/.f64 65 (pow.f64 beta 5))))
(+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 65 (pow.f64 beta 5)))) (/.f64 -5 (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (-.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 65 (pow.f64 beta 5))) (/.f64 -5 (pow.f64 beta 3))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 5 (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -5 (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 5 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 -5 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (*.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 19 (pow.f64 beta 4))) (+.f64 (/.f64 5 (pow.f64 beta 3)) (/.f64 65 (pow.f64 beta 5))))
(+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 65 (pow.f64 beta 5)))) (/.f64 -5 (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (-.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 65 (pow.f64 beta 5))) (/.f64 -5 (pow.f64 beta 3))))
6
(+.f64 6 (*.f64 5 beta))
(+.f64 6 (*.f64 beta 5))
(fma.f64 beta 5 6)
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(pow.f64 beta 2)
(*.f64 beta beta)
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(fma.f64 5 beta (*.f64 beta beta))
(*.f64 beta (+.f64 beta 5))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(pow.f64 beta 2)
(*.f64 beta beta)
(+.f64 (*.f64 5 beta) (pow.f64 beta 2))
(fma.f64 5 beta (*.f64 beta beta))
(*.f64 beta (+.f64 beta 5))
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(+.f64 6 (+.f64 (*.f64 5 beta) (pow.f64 beta 2)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(+.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) beta) (*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) -2))
(/.f64 (*.f64 (+.f64 beta -2) 1) (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)))
(/.f64 (+.f64 beta -2) (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)))
(+.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 beta beta)) (*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta -2))))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 (pow.f64 beta 3) 8))) (+.f64 (+.f64 4 (*.f64 beta -2)) (*.f64 beta beta)))
(/.f64 (fma.f64 beta (+.f64 beta -2) 4) (*.f64 (+.f64 beta 3) (+.f64 (pow.f64 beta 3) 8)))
(+.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta -2))) (*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 beta beta)))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 (pow.f64 beta 3) 8))) (+.f64 (+.f64 4 (*.f64 beta -2)) (*.f64 beta beta)))
(/.f64 (fma.f64 beta (+.f64 beta -2) 4) (*.f64 (+.f64 beta 3) (+.f64 (pow.f64 beta 3) 8)))
(+.f64 (*.f64 beta (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)))) (*.f64 -2 (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)))))
(/.f64 (*.f64 (+.f64 beta -2) 1) (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)))
(/.f64 (+.f64 beta -2) (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)))
(+.f64 (*.f64 (*.f64 beta beta) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))) (*.f64 (+.f64 4 (*.f64 beta -2)) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 (pow.f64 beta 3) 8))) (+.f64 (+.f64 4 (*.f64 beta -2)) (*.f64 beta beta)))
(/.f64 (fma.f64 beta (+.f64 beta -2) 4) (*.f64 (+.f64 beta 3) (+.f64 (pow.f64 beta 3) 8)))
(+.f64 (*.f64 (+.f64 4 (*.f64 beta -2)) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))) (*.f64 (*.f64 beta beta) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 (pow.f64 beta 3) 8))) (+.f64 (+.f64 4 (*.f64 beta -2)) (*.f64 beta beta)))
(/.f64 (fma.f64 beta (+.f64 beta -2) 4) (*.f64 (+.f64 beta 3) (+.f64 (pow.f64 beta 3) 8)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) 1)
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (fma.f64 beta (+.f64 beta 5) 6))
(*.f64 1 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 1 (fma.f64 beta (+.f64 beta 5) 6))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1)
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(*.f64 (+.f64 beta 2) (/.f64 (fma.f64 beta beta -9) (+.f64 beta -3)))
(/.f64 (/.f64 (+.f64 beta 2) (/.f64 1 (+.f64 27 (pow.f64 beta 3)))) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(/.f64 (+.f64 (pow.f64 beta 3) 27) (*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) 1) (+.f64 9 (*.f64 beta (+.f64 beta -3)))))
(*.f64 (+.f64 (pow.f64 beta 3) 27) (/.f64 (+.f64 beta 2) (fma.f64 beta (+.f64 beta -3) 9)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1) (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2))
(/.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2))
(/.f64 (sqrt.f64 (fma.f64 beta (+.f64 beta 5) 6)) (pow.f64 (fma.f64 beta (+.f64 beta 5) 6) -1/2))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2)) (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(/.f64 (sqrt.f64 (fma.f64 beta (+.f64 beta 5) 6)) (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 beta (+.f64 beta 5) 6))) (cbrt.f64 (pow.f64 (fma.f64 beta (+.f64 beta 5) 6) -1/2))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2))) (sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2))
(/.f64 (sqrt.f64 (fma.f64 beta (+.f64 beta 5) 6)) (pow.f64 (fma.f64 beta (+.f64 beta 5) 6) -1/2))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -2)))) (sqrt.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -2)))))
(/.f64 (sqrt.f64 (fma.f64 beta (+.f64 beta 5) 6)) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 beta (+.f64 beta 5) 6)))) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 beta (+.f64 beta 5) 6) -2)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2) 1) (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta (+.f64 beta 5) 6)) 2) (cbrt.f64 (/.f64 1 (fma.f64 beta (+.f64 beta 5) 6))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2) (sqrt.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (sqrt.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta (+.f64 beta 5) 6)) 2) (cbrt.f64 (/.f64 1 (fma.f64 beta (+.f64 beta 5) 6))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (cbrt.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (cbrt.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta (+.f64 beta 5) 6)) 2) (cbrt.f64 (/.f64 1 (fma.f64 beta (+.f64 beta 5) 6))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2) (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2)) (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1/2))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta (+.f64 beta 5) 6)) 2) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 beta (+.f64 beta 5) 6) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 beta (+.f64 beta 5) 6) -1/2))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -2)))) (cbrt.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -2)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta (+.f64 beta 5) 6)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (fma.f64 beta (+.f64 beta 5) 6)))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 beta (+.f64 beta 5) 6) -2)))))
(/.f64 (/.f64 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)) 1) (+.f64 beta -2))
(*.f64 (/.f64 (fma.f64 beta beta -4) (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta -2)))
(*.f64 (+.f64 beta 3) (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)) (sqrt.f64 (+.f64 beta -2))) (sqrt.f64 (+.f64 beta -2)))
(*.f64 (/.f64 (fma.f64 beta beta -4) (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta -2)))
(*.f64 (+.f64 beta 3) (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)) (*.f64 (cbrt.f64 (+.f64 beta -2)) (cbrt.f64 (+.f64 beta -2)))) (cbrt.f64 (+.f64 beta -2)))
(*.f64 (/.f64 (fma.f64 beta beta -4) (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta -2)))
(*.f64 (+.f64 beta 3) (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 8 (pow.f64 beta 3))) 1) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (+.f64 (pow.f64 beta 3) 8) (*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) 1) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(*.f64 (+.f64 beta 3) (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta (+.f64 beta -2) 4)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 8 (pow.f64 beta 3))) (sqrt.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))))) (sqrt.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(/.f64 (+.f64 (pow.f64 beta 3) 8) (*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) 1) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(*.f64 (+.f64 beta 3) (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta (+.f64 beta -2) 4)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 8 (pow.f64 beta 3))) (*.f64 (cbrt.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2)))) (cbrt.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2)))))) (cbrt.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(/.f64 (+.f64 (pow.f64 beta 3) 8) (*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) 1) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(*.f64 (+.f64 beta 3) (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta (+.f64 beta -2) 4)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 2) (fma.f64 beta beta -9)) 1) (+.f64 beta -3))
(*.f64 (/.f64 (fma.f64 beta beta -9) (/.f64 1 (+.f64 beta 2))) (/.f64 1 (+.f64 beta -3)))
(*.f64 (+.f64 beta 2) (/.f64 (fma.f64 beta beta -9) (+.f64 beta -3)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 2) (fma.f64 beta beta -9)) (sqrt.f64 (+.f64 beta -3))) (sqrt.f64 (+.f64 beta -3)))
(*.f64 (/.f64 (fma.f64 beta beta -9) (/.f64 1 (+.f64 beta 2))) (/.f64 1 (+.f64 beta -3)))
(*.f64 (+.f64 beta 2) (/.f64 (fma.f64 beta beta -9) (+.f64 beta -3)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 2) (fma.f64 beta beta -9)) (*.f64 (cbrt.f64 (+.f64 beta -3)) (cbrt.f64 (+.f64 beta -3)))) (cbrt.f64 (+.f64 beta -3)))
(*.f64 (/.f64 (fma.f64 beta beta -9) (/.f64 1 (+.f64 beta 2))) (/.f64 1 (+.f64 beta -3)))
(*.f64 (+.f64 beta 2) (/.f64 (fma.f64 beta beta -9) (+.f64 beta -3)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 27 (pow.f64 beta 3))) 1) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(/.f64 (+.f64 (pow.f64 beta 3) 27) (*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) 1) (+.f64 9 (*.f64 beta (+.f64 beta -3)))))
(*.f64 (+.f64 (pow.f64 beta 3) 27) (/.f64 (+.f64 beta 2) (fma.f64 beta (+.f64 beta -3) 9)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 27 (pow.f64 beta 3))) (sqrt.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3))))) (sqrt.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3)))))
(/.f64 (+.f64 (pow.f64 beta 3) 27) (*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) 1) (+.f64 9 (*.f64 beta (+.f64 beta -3)))))
(*.f64 (+.f64 (pow.f64 beta 3) 27) (/.f64 (+.f64 beta 2) (fma.f64 beta (+.f64 beta -3) 9)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 27 (pow.f64 beta 3))) (*.f64 (cbrt.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3)))) (cbrt.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3)))))) (cbrt.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3)))))
(/.f64 (+.f64 (pow.f64 beta 3) 27) (*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) 1) (+.f64 9 (*.f64 beta (+.f64 beta -3)))))
(*.f64 (+.f64 (pow.f64 beta 3) 27) (/.f64 (+.f64 beta 2) (fma.f64 beta (+.f64 beta -3) 9)))
(/.f64 (/.f64 (*.f64 (fma.f64 beta beta -9) (fma.f64 beta beta -4)) (+.f64 beta -3)) (+.f64 beta -2))
(/.f64 (fma.f64 beta beta -9) (/.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -3)) (fma.f64 beta beta -4)))
(*.f64 (/.f64 (fma.f64 beta beta -9) (+.f64 beta -2)) (/.f64 (fma.f64 beta beta -4) (+.f64 beta -3)))
(/.f64 (/.f64 (*.f64 (fma.f64 beta beta -9) (+.f64 8 (pow.f64 beta 3))) (+.f64 beta -3)) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (/.f64 (fma.f64 beta beta -9) (/.f64 (+.f64 beta -3) (+.f64 (pow.f64 beta 3) 8))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(*.f64 (+.f64 (pow.f64 beta 3) 8) (/.f64 (/.f64 (fma.f64 beta beta -9) (+.f64 beta -3)) (fma.f64 beta (+.f64 beta -2) 4)))
(/.f64 (/.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 27 (pow.f64 beta 3))) (+.f64 9 (*.f64 beta (+.f64 beta -3)))) (+.f64 beta -2))
(/.f64 (/.f64 (fma.f64 beta beta -4) (/.f64 (+.f64 beta -2) (+.f64 (pow.f64 beta 3) 27))) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(*.f64 (fma.f64 beta beta -4) (/.f64 (+.f64 (pow.f64 beta 3) 27) (*.f64 (+.f64 beta -2) (fma.f64 beta (+.f64 beta -3) 9))))
(/.f64 (/.f64 (*.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 9 (*.f64 beta (+.f64 beta -3)))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) 27) (+.f64 9 (*.f64 beta (+.f64 beta -3)))) (/.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(*.f64 (+.f64 (pow.f64 beta 3) 27) (/.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta (+.f64 beta -3) 9)) (fma.f64 beta (+.f64 beta -2) 4)))
(/.f64 (/.f64 (*.f64 (fma.f64 beta beta -9) (fma.f64 beta beta -4)) (+.f64 beta -2)) (+.f64 beta -3))
(/.f64 (fma.f64 beta beta -9) (/.f64 (*.f64 (+.f64 beta -2) (+.f64 beta -3)) (fma.f64 beta beta -4)))
(*.f64 (/.f64 (fma.f64 beta beta -9) (+.f64 beta -2)) (/.f64 (fma.f64 beta beta -4) (+.f64 beta -3)))
(/.f64 (/.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 27 (pow.f64 beta 3))) (+.f64 beta -2)) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(/.f64 (/.f64 (fma.f64 beta beta -4) (/.f64 (+.f64 beta -2) (+.f64 (pow.f64 beta 3) 27))) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(*.f64 (fma.f64 beta beta -4) (/.f64 (+.f64 (pow.f64 beta 3) 27) (*.f64 (+.f64 beta -2) (fma.f64 beta (+.f64 beta -3) 9))))
(/.f64 (/.f64 (*.f64 (fma.f64 beta beta -9) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2)))) (+.f64 beta -3))
(/.f64 (/.f64 (fma.f64 beta beta -9) (/.f64 (+.f64 beta -3) (+.f64 (pow.f64 beta 3) 8))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(*.f64 (+.f64 (pow.f64 beta 3) 8) (/.f64 (/.f64 (fma.f64 beta beta -9) (+.f64 beta -3)) (fma.f64 beta (+.f64 beta -2) 4)))
(/.f64 (/.f64 (*.f64 (+.f64 27 (pow.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2)))) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) 27) (+.f64 9 (*.f64 beta (+.f64 beta -3)))) (/.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(*.f64 (+.f64 (pow.f64 beta 3) 27) (/.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta (+.f64 beta -3) 9)) (fma.f64 beta (+.f64 beta -2) 4)))
(pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 1)
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 2)
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 3)
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3) 1/3)
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(neg.f64 (*.f64 (+.f64 beta 2) (neg.f64 (+.f64 beta 3))))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 2))
(fabs.f64 (fma.f64 beta (+.f64 beta 5) 6))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 3)) (+.f64 beta 2)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) 3))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (+.f64 beta 3) 3)))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(exp.f64 (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(fma.f64 beta (+.f64 beta 3) (+.f64 (*.f64 beta 2) 6))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)
(fma.f64 (+.f64 beta 3) beta (+.f64 (*.f64 beta 2) 6))
(+.f64 6 (fma.f64 5 beta (*.f64 beta beta)))
(fma.f64 beta (+.f64 beta 5) 6)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 2/9 beta) 1/3)
0.0b
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
0.3b
(*.f64 2/9 beta)
18.7b
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
Compiler

Compiled 51 to 35 computations (31.4% saved)

series6.0ms (0%)

Counts
3 → 33
Calls

12 calls:

TimeVariablePointExpression
1.0ms
alpha
@0
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms
beta
@0
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms
alpha
@inf
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms
beta
@inf
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms
alpha
@-inf
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

rewrite101.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1682×associate-/r*
1298×associate-/l*
964×associate-/r/
322×add-sqr-sqrt
308×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01349
130949
2446649
Stop Event
node limit
Counts
3 → 132
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 2/9 beta)
(+.f64 (*.f64 2/9 beta) 1/3)
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 2/9 beta)) 2) (cbrt.f64 (*.f64 2/9 beta)) 1/3)))))

simplify99.0ms (0.5%)

Algorithm
egg-herbie
Rules
1016×distribute-lft-in
988×associate-*r*
978×associate-*l*
928×associate-/l*
916×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058010021
118869863
Stop Event
node limit
Counts
165 → 285
Calls
Call 1
Inputs
(/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 beta (-.f64 (*.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))))))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 beta (-.f64 (*.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (*.f64 (-.f64 (*.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 6))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (*.f64 (-.f64 (*.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 beta (-.f64 (*.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (*.f64 (-.f64 (*.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))))))
(/.f64 2/9 beta)
(-.f64 (+.f64 (*.f64 2/9 (/.f64 1 beta)) (*.f64 1/3 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2/9 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 2/9 (/.f64 1 beta)) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 1/3 (*.f64 2/9 (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha))) (*.f64 2/9 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 3))))) (*.f64 2/9 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 2/9 (/.f64 1 beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 1/3 (*.f64 2/9 (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (*.f64 (+.f64 (*.f64 (-.f64 1/3 (*.f64 2/9 (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha))) (*.f64 2/9 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (*.f64 2 alpha))))) (pow.f64 beta 4))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 1/3 (*.f64 2/9 (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha))) (*.f64 2/9 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 3)))))) (*.f64 2/9 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 beta 2))))
(/.f64 2/9 beta)
(-.f64 (+.f64 (*.f64 2/9 (/.f64 1 beta)) (*.f64 1/3 (/.f64 1 (pow.f64 beta 2)))) (*.f64 4/9 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 2/9 (/.f64 1 beta)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 1/3 (*.f64 4/9 (+.f64 2 alpha))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (*.f64 -2/9 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (*.f64 1/3 (/.f64 1 (pow.f64 beta 2)))))) (*.f64 4/9 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 2/9 (/.f64 1 beta)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 1/3 (*.f64 4/9 (+.f64 2 alpha))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 1/3 (*.f64 4/9 (+.f64 2 alpha))) (+.f64 2 alpha))) (*.f64 -2/9 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha))) (*.f64 (-.f64 1/3 (*.f64 4/9 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4))) (+.f64 (*.f64 -2/9 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (*.f64 1/3 (/.f64 1 (pow.f64 beta 2))))))) (*.f64 4/9 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1/3 (*.f64 2/9 beta)) (*.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (pow.f64 (+.f64 beta 2) 4))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1/3 (*.f64 2/9 beta)) (*.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (pow.f64 (+.f64 beta 2) 6))) (*.f64 2/9 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1/3 (*.f64 2/9 beta)) (*.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (pow.f64 (+.f64 beta 2) 6))) (*.f64 2/9 (/.f64 beta (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 2/9 beta) 1/3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 6))) (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1/3 (*.f64 2/9 beta)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (pow.f64 (+.f64 beta 2) 6))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (*.f64 2/9 (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (pow.f64 (+.f64 beta 2) 2)))))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1/3 (*.f64 2/9 beta)) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 3)))))
(+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1/3 (*.f64 2/9 beta)) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1/3 (*.f64 2/9 beta)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (pow.f64 alpha 4))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/3 (*.f64 2/9 beta)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (*.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 4 (*.f64 2 beta)))) (*.f64 -1 (*.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 5))) (+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1/3 (*.f64 2/9 beta)) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1/3 (*.f64 2/9 beta)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (pow.f64 alpha 4)))))))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 1/3 (*.f64 2/9 beta)) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2)))))
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1/3
(*.f64 2/9 beta)
(+.f64 1/3 (*.f64 2/9 beta))
(+.f64 1/3 (*.f64 2/9 beta))
(+.f64 1/3 (*.f64 2/9 beta))
(*.f64 2/9 beta)
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(/.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))) (/.f64 1 (/.f64 1 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))))))
(/.f64 (sqrt.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3)))) (/.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))) (sqrt.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9)) (/.f64 (fma.f64 2/9 beta -1/3) (sqrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3)))) (cbrt.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))))) (/.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))) (cbrt.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9)) (cbrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9))) (/.f64 (fma.f64 2/9 beta -1/3) (cbrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9))))
(/.f64 (neg.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9)) (neg.f64 (fma.f64 2/9 beta -1/3)))
(/.f64 (neg.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3)))) (neg.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27)))))
(/.f64 (-.f64 1/9 (*.f64 4/81 (*.f64 beta beta))) (-.f64 1/3 (*.f64 2/9 beta)))
(/.f64 (/.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) 1) (fma.f64 2/9 beta -1/3))
(/.f64 (/.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) (sqrt.f64 (fma.f64 2/9 beta -1/3))) (sqrt.f64 (fma.f64 2/9 beta -1/3)))
(/.f64 (/.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) (*.f64 (cbrt.f64 (fma.f64 2/9 beta -1/3)) (cbrt.f64 (fma.f64 2/9 beta -1/3)))) (cbrt.f64 (fma.f64 2/9 beta -1/3)))
(/.f64 (/.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))) 1) (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))))
(/.f64 (/.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))) (sqrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))))) (sqrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27)))))
(/.f64 (/.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))) (*.f64 (cbrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27)))) (cbrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27)))))) (cbrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27)))))
(pow.f64 (fma.f64 2/9 beta 1/3) 1)
(pow.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) 2)
(pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 3)
(pow.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 2))
(log.f64 (exp.f64 (fma.f64 2/9 beta 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/9 beta 1/3))))
(cbrt.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 3))
(expm1.f64 (log1p.f64 (fma.f64 2/9 beta 1/3)))
(exp.f64 (log.f64 (fma.f64 2/9 beta 1/3)))
(exp.f64 (*.f64 (log.f64 (fma.f64 2/9 beta 1/3)) 1))
(log1p.f64 (expm1.f64 (fma.f64 2/9 beta 1/3)))
(fma.f64 2/9 beta 1/3)
(fma.f64 beta 2/9 1/3)
(fma.f64 1 (*.f64 2/9 beta) 1/3)
(fma.f64 (sqrt.f64 (*.f64 2/9 beta)) (sqrt.f64 (*.f64 2/9 beta)) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2/9 beta)) 2) (cbrt.f64 (*.f64 2/9 beta)) 1/3)
Outputs
(/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 beta (-.f64 (*.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))))))
(+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 beta (+.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))))))
(+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 beta (-.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))))))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 beta (-.f64 (*.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (*.f64 (-.f64 (*.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 beta (+.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (neg.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (+.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 4 (*.f64 2 alpha)))))))))
(+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 beta (-.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (neg.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 4)) (*.f64 (/.f64 (-.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 4 (*.f64 2 alpha))))))))
(+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 6))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (*.f64 (-.f64 (*.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 beta (-.f64 (*.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (*.f64 (-.f64 (*.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))))))
(fma.f64 (pow.f64 beta 3) (-.f64 (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 6))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (+.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 4 (*.f64 2 alpha))))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 4 (*.f64 2 alpha)))) (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 beta (+.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (neg.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (+.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 4 (*.f64 2 alpha))))))))))
(fma.f64 (pow.f64 beta 3) (-.f64 (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 6))) (fma.f64 -1 (*.f64 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 4)) (*.f64 (/.f64 (-.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 4 (*.f64 2 alpha))) (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 beta (-.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (neg.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 4)) (*.f64 (/.f64 (-.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 4 (*.f64 2 alpha)))))))))
(/.f64 2/9 beta)
(-.f64 (+.f64 (*.f64 2/9 (/.f64 1 beta)) (*.f64 1/3 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2/9 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 beta 2))))
(+.f64 (+.f64 (/.f64 2/9 beta) (/.f64 1/3 (*.f64 beta beta))) (*.f64 -2/9 (/.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 beta beta))))
(+.f64 (/.f64 2/9 beta) (+.f64 (/.f64 1/3 (*.f64 beta beta)) (/.f64 (+.f64 -8/9 (*.f64 alpha -4/9)) (*.f64 beta beta))))
(-.f64 (+.f64 (*.f64 2/9 (/.f64 1 beta)) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 1/3 (*.f64 2/9 (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha))) (*.f64 2/9 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 3))))) (*.f64 2/9 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 beta 2))))
(+.f64 (/.f64 2/9 beta) (-.f64 (+.f64 (/.f64 1/3 (*.f64 beta beta)) (neg.f64 (/.f64 (fma.f64 (-.f64 1/3 (+.f64 8/9 (*.f64 (*.f64 2 alpha) 2/9))) (+.f64 4 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) 2/9)) (pow.f64 beta 3)))) (*.f64 2/9 (/.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 beta beta)))))
(+.f64 (/.f64 2/9 beta) (+.f64 (/.f64 1/3 (*.f64 beta beta)) (-.f64 (neg.f64 (/.f64 (fma.f64 (-.f64 -5/9 (*.f64 alpha 4/9)) (+.f64 4 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) 2/9)) (pow.f64 beta 3))) (*.f64 4/9 (/.f64 (+.f64 2 alpha) (*.f64 beta beta))))))
(-.f64 (+.f64 (*.f64 2/9 (/.f64 1 beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 1/3 (*.f64 2/9 (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (*.f64 (+.f64 (*.f64 (-.f64 1/3 (*.f64 2/9 (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha))) (*.f64 2/9 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (*.f64 2 alpha))))) (pow.f64 beta 4))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 1/3 (*.f64 2/9 (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha))) (*.f64 2/9 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 3)))))) (*.f64 2/9 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 beta 2))))
(+.f64 (/.f64 2/9 beta) (-.f64 (fma.f64 -1 (/.f64 (fma.f64 (-.f64 1/3 (+.f64 8/9 (*.f64 (*.f64 2 alpha) 2/9))) (pow.f64 (+.f64 2 alpha) 2) (neg.f64 (*.f64 (+.f64 4 (*.f64 2 alpha)) (fma.f64 (-.f64 1/3 (+.f64 8/9 (*.f64 (*.f64 2 alpha) 2/9))) (+.f64 4 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) 2/9))))) (pow.f64 beta 4)) (+.f64 (/.f64 1/3 (*.f64 beta beta)) (neg.f64 (/.f64 (fma.f64 (-.f64 1/3 (+.f64 8/9 (*.f64 (*.f64 2 alpha) 2/9))) (+.f64 4 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) 2/9)) (pow.f64 beta 3))))) (*.f64 2/9 (/.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 beta beta)))))
(+.f64 (/.f64 2/9 beta) (-.f64 (fma.f64 -1 (/.f64 (fma.f64 (-.f64 -5/9 (*.f64 alpha 4/9)) (pow.f64 (+.f64 2 alpha) 2) (neg.f64 (*.f64 (+.f64 4 (*.f64 2 alpha)) (fma.f64 (-.f64 -5/9 (*.f64 alpha 4/9)) (+.f64 4 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) 2/9))))) (pow.f64 beta 4)) (+.f64 (/.f64 1/3 (*.f64 beta beta)) (neg.f64 (/.f64 (fma.f64 (-.f64 -5/9 (*.f64 alpha 4/9)) (+.f64 4 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) 2/9)) (pow.f64 beta 3))))) (*.f64 4/9 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)))))
(/.f64 2/9 beta)
(-.f64 (+.f64 (*.f64 2/9 (/.f64 1 beta)) (*.f64 1/3 (/.f64 1 (pow.f64 beta 2)))) (*.f64 4/9 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (+.f64 (/.f64 2/9 beta) (/.f64 1/3 (*.f64 beta beta))) (*.f64 -2/9 (/.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 beta beta))))
(+.f64 (/.f64 2/9 beta) (+.f64 (/.f64 1/3 (*.f64 beta beta)) (/.f64 (+.f64 -8/9 (*.f64 alpha -4/9)) (*.f64 beta beta))))
(-.f64 (+.f64 (*.f64 2/9 (/.f64 1 beta)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 1/3 (*.f64 4/9 (+.f64 2 alpha))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (*.f64 -2/9 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (*.f64 1/3 (/.f64 1 (pow.f64 beta 2)))))) (*.f64 4/9 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (+.f64 (/.f64 2/9 beta) (fma.f64 -2 (/.f64 (-.f64 1/3 (+.f64 8/9 (*.f64 4/9 alpha))) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (fma.f64 -2/9 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)) (/.f64 1/3 (*.f64 beta beta))))) (*.f64 -4/9 (/.f64 (+.f64 2 alpha) (*.f64 beta beta))))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 (-.f64 -5/9 (*.f64 alpha 4/9)) (pow.f64 beta 3)) (+.f64 2 alpha)) (fma.f64 -2/9 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)) (/.f64 1/3 (*.f64 beta beta)))) (+.f64 (/.f64 2/9 beta) (/.f64 (+.f64 -8/9 (*.f64 alpha -4/9)) (*.f64 beta beta))))
(-.f64 (+.f64 (*.f64 2/9 (/.f64 1 beta)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 1/3 (*.f64 4/9 (+.f64 2 alpha))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 1/3 (*.f64 4/9 (+.f64 2 alpha))) (+.f64 2 alpha))) (*.f64 -2/9 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha))) (*.f64 (-.f64 1/3 (*.f64 4/9 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4))) (+.f64 (*.f64 -2/9 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (*.f64 1/3 (/.f64 1 (pow.f64 beta 2))))))) (*.f64 4/9 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (+.f64 (/.f64 2/9 beta) (fma.f64 -2 (/.f64 (-.f64 1/3 (+.f64 8/9 (*.f64 4/9 alpha))) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 alpha) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (-.f64 1/3 (+.f64 8/9 (*.f64 4/9 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) -2/9))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1/3 (+.f64 8/9 (*.f64 4/9 alpha))))) (pow.f64 beta 4)) (fma.f64 -2/9 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)) (/.f64 1/3 (*.f64 beta beta)))))) (*.f64 -4/9 (/.f64 (+.f64 2 alpha) (*.f64 beta beta))))
(+.f64 (/.f64 2/9 beta) (+.f64 (fma.f64 -2 (*.f64 (/.f64 (-.f64 -5/9 (*.f64 alpha 4/9)) (pow.f64 beta 3)) (+.f64 2 alpha)) (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 alpha) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (-.f64 -5/9 (*.f64 alpha 4/9))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) -2/9))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 -5/9 (*.f64 alpha 4/9)))) (pow.f64 beta 4)) (fma.f64 -2/9 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)) (/.f64 1/3 (*.f64 beta beta))))) (/.f64 (+.f64 -8/9 (*.f64 alpha -4/9)) (*.f64 beta beta))))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 (+.f64 beta 2) 2))
(/.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 2 beta) 2))
(+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1/3 (*.f64 2/9 beta)) (*.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (pow.f64 (+.f64 beta 2) 4))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(fma.f64 2/9 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (/.f64 (*.f64 (*.f64 alpha (+.f64 4 (*.f64 2 beta))) (fma.f64 beta 2/9 1/3)) (pow.f64 (+.f64 2 beta) 4)) (/.f64 1/3 (pow.f64 (+.f64 2 beta) 2))))
(fma.f64 2/9 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (*.f64 (/.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 2 beta) 4)) (*.f64 alpha (+.f64 4 (*.f64 2 beta)))) (/.f64 1/3 (pow.f64 (+.f64 2 beta) 2))))
(+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1/3 (*.f64 2/9 beta)) (*.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (pow.f64 (+.f64 beta 2) 6))) (*.f64 2/9 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
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(fma.f64 2/9 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (*.f64 (/.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 2 beta) 4)) (*.f64 alpha (+.f64 4 (*.f64 2 beta)))) (fma.f64 -1 (*.f64 alpha (*.f64 alpha (fma.f64 -1 (*.f64 (/.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 2 beta) 6)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 beta) 4)) (*.f64 2/9 (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))))) (/.f64 1/3 (pow.f64 (+.f64 2 beta) 2)))))
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(fma.f64 2/9 (/.f64 beta (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (*.f64 (/.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 2 beta) 4)) (*.f64 alpha (+.f64 4 (*.f64 2 beta)))) (fma.f64 -1 (*.f64 alpha (*.f64 alpha (fma.f64 -1 (*.f64 (/.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 2 beta) 6)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 beta) 4)) (*.f64 2/9 (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))))) (fma.f64 -1 (*.f64 -1 (*.f64 (+.f64 (*.f64 (/.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 2 beta) 6)) (+.f64 4 (*.f64 2 beta))) (*.f64 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 -1 (*.f64 (/.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 2 beta) 6)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 beta) 4)) (*.f64 2/9 (/.f64 beta (pow.f64 (+.f64 2 beta) 4))))))) (pow.f64 alpha 3))) (/.f64 1/3 (pow.f64 (+.f64 2 beta) 2))))))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(/.f64 (fma.f64 beta 2/9 1/3) (*.f64 alpha alpha))
(+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1/3 (*.f64 2/9 beta)) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 3)))))
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(fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (fma.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 2 beta) 2) (neg.f64 (*.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (fma.f64 beta 2/9 1/3))))) (neg.f64 (*.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 4 (*.f64 2 beta))) (fma.f64 beta 2/9 1/3)))) (pow.f64 alpha 5)) (+.f64 (fma.f64 2/9 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/3 (*.f64 alpha alpha))) (*.f64 -1 (+.f64 (/.f64 (fma.f64 beta 2/9 1/3) (/.f64 (pow.f64 alpha 3) (+.f64 4 (*.f64 2 beta)))) (/.f64 (fma.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 2 beta) 2) (neg.f64 (*.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (fma.f64 beta 2/9 1/3)))) (pow.f64 alpha 4))))))
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(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(/.f64 (fma.f64 beta 2/9 1/3) (*.f64 alpha alpha))
(+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 1/3 (*.f64 2/9 beta)) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2)))))
(fma.f64 -2 (/.f64 (*.f64 (+.f64 2 beta) (fma.f64 beta 2/9 1/3)) (pow.f64 alpha 3)) (fma.f64 2/9 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/3 (*.f64 alpha alpha))))
(fma.f64 -2 (*.f64 (/.f64 (fma.f64 beta 2/9 1/3) (pow.f64 alpha 3)) (+.f64 2 beta)) (fma.f64 2/9 (/.f64 (/.f64 beta alpha) alpha) (/.f64 1/3 (*.f64 alpha alpha))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1/3 (*.f64 2/9 beta)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -4 (*.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 1/3 (*.f64 2/9 beta)) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))))))
(fma.f64 -1 (/.f64 (fma.f64 -4 (*.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 beta 2/9 1/3)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 beta 2/9 1/3))) (pow.f64 alpha 4)) (fma.f64 -2 (/.f64 (*.f64 (+.f64 2 beta) (fma.f64 beta 2/9 1/3)) (pow.f64 alpha 3)) (fma.f64 2/9 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/3 (*.f64 alpha alpha)))))
(fma.f64 -1 (/.f64 (fma.f64 -4 (*.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 beta 2/9 1/3)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 beta 2/9 1/3))) (pow.f64 alpha 4)) (fma.f64 -2 (*.f64 (/.f64 (fma.f64 beta 2/9 1/3) (pow.f64 alpha 3)) (+.f64 2 beta)) (fma.f64 2/9 (/.f64 (/.f64 beta alpha) alpha) (/.f64 1/3 (*.f64 alpha alpha)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1/3 (*.f64 2/9 beta)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -4 (*.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 1/3 (*.f64 2/9 beta)) (+.f64 beta 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -4 (*.f64 (+.f64 1/3 (*.f64 2/9 beta)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)) (pow.f64 alpha 5))) (+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 5))))))))
(fma.f64 -1 (/.f64 (fma.f64 -4 (*.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 beta 2/9 1/3)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 beta 2/9 1/3))) (pow.f64 alpha 4)) (fma.f64 -2 (/.f64 (*.f64 (+.f64 2 beta) (fma.f64 beta 2/9 1/3)) (pow.f64 alpha 3)) (fma.f64 2 (/.f64 (fma.f64 -4 (*.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 beta 2/9 1/3)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 beta 2/9 1/3))) (/.f64 (pow.f64 alpha 5) (+.f64 2 beta))) (+.f64 (fma.f64 2/9 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/3 (*.f64 alpha alpha))) (*.f64 2 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 3) (fma.f64 beta 2/9 1/3)) (pow.f64 alpha 5)))))))
(fma.f64 -1 (/.f64 (fma.f64 -4 (*.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 beta 2/9 1/3)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 beta 2/9 1/3))) (pow.f64 alpha 4)) (fma.f64 -2 (*.f64 (/.f64 (fma.f64 beta 2/9 1/3) (pow.f64 alpha 3)) (+.f64 2 beta)) (fma.f64 2 (*.f64 (/.f64 (fma.f64 -4 (*.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 beta 2/9 1/3)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 beta 2/9 1/3))) (pow.f64 alpha 5)) (+.f64 2 beta)) (+.f64 (fma.f64 2/9 (/.f64 (/.f64 beta alpha) alpha) (/.f64 1/3 (*.f64 alpha alpha))) (*.f64 2 (*.f64 (/.f64 (fma.f64 beta 2/9 1/3) (pow.f64 alpha 5)) (pow.f64 (+.f64 2 beta) 3)))))))
1/3
(*.f64 2/9 beta)
(*.f64 beta 2/9)
(+.f64 1/3 (*.f64 2/9 beta))
(fma.f64 beta 2/9 1/3)
(+.f64 1/3 (*.f64 2/9 beta))
(fma.f64 beta 2/9 1/3)
(+.f64 1/3 (*.f64 2/9 beta))
(fma.f64 beta 2/9 1/3)
(*.f64 2/9 beta)
(*.f64 beta 2/9)
(+.f64 1/3 (*.f64 2/9 beta))
(fma.f64 beta 2/9 1/3)
(+.f64 1/3 (*.f64 2/9 beta))
(fma.f64 beta 2/9 1/3)
(+.f64 1/3 (*.f64 2/9 beta))
(fma.f64 beta 2/9 1/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))) 1)
(*.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 (+.f64 alpha beta) 2) -2))
(*.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))
(*.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 (+.f64 alpha beta) 2) -2))
(*.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(*.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) 1)
(*.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 (+.f64 alpha beta) 2) -2))
(*.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(*.f64 1 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 (+.f64 alpha beta) 2) -2))
(*.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (+.f64 beta (+.f64 alpha 2))) (/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 beta 2/9 1/3)) (+.f64 (+.f64 alpha beta) 2)) 2)
(/.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))
(*.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (*.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 (+.f64 alpha beta) 2) -2))
(*.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 (+.f64 alpha beta) 2) -2))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 beta 2/9 1/3) 2) (pow.f64 (+.f64 (+.f64 alpha beta) 2) 4))))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 beta 2/9 1/3) 2) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 4))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (cbrt.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 (+.f64 alpha beta) 2) -2))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 beta 2/9 1/3) 2) (pow.f64 (+.f64 (+.f64 alpha beta) 2) 4))))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 beta 2/9 1/3) 2) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 4))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) (*.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 (+.f64 alpha beta) 2) -2))
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(fma.f64 beta 2/9 1/3)
(/.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) (fma.f64 2/9 beta -1/3))
(/.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9) (fma.f64 2/9 beta -1/3))
(/.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) (/.f64 1 (/.f64 1 (fma.f64 2/9 beta -1/3))))
(/.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9) (fma.f64 2/9 beta -1/3))
(/.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))) (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))))
(/.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27) (-.f64 (fma.f64 4/81 (*.f64 beta beta) 1/9) (*.f64 beta 2/27)))
(/.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))) (/.f64 1 (/.f64 1 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))))))
(/.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27) (-.f64 (fma.f64 4/81 (*.f64 beta beta) 1/9) (*.f64 beta 2/27)))
(/.f64 (sqrt.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3)))) (/.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))) (sqrt.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27)) (/.f64 (-.f64 (fma.f64 4/81 (*.f64 beta beta) 1/9) (*.f64 beta 2/27)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9)) (/.f64 (fma.f64 2/9 beta -1/3) (sqrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9))))
(/.f64 (sqrt.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9)) (/.f64 (fma.f64 2/9 beta -1/3) (sqrt.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3)))) (cbrt.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))))) (/.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))) (cbrt.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27))) (-.f64 (fma.f64 4/81 (*.f64 beta beta) 1/9) (*.f64 beta 2/27))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27)))
(*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27)) (/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27))) (-.f64 (fma.f64 4/81 (*.f64 beta beta) 1/9) (*.f64 beta 2/27))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9)) (cbrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9))) (/.f64 (fma.f64 2/9 beta -1/3) (cbrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9)) (cbrt.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9))) (fma.f64 2/9 beta -1/3)) (cbrt.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9)))
(*.f64 (cbrt.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9)) (/.f64 (*.f64 (cbrt.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9)) (cbrt.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9))) (fma.f64 2/9 beta -1/3)))
(/.f64 (neg.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9)) (neg.f64 (fma.f64 2/9 beta -1/3)))
(/.f64 (neg.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9)) (neg.f64 (fma.f64 2/9 beta -1/3)))
(/.f64 (+.f64 1/9 (*.f64 (*.f64 -4/81 beta) beta)) (neg.f64 (fma.f64 2/9 beta -1/3)))
(/.f64 (neg.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3)))) (neg.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27)) (neg.f64 (-.f64 (fma.f64 4/81 (*.f64 beta beta) 1/9) (*.f64 beta 2/27))))
(/.f64 (-.f64 -1/27 (*.f64 (pow.f64 beta 3) 8/729)) (neg.f64 (-.f64 (fma.f64 4/81 (*.f64 beta beta) 1/9) (*.f64 beta 2/27))))
(/.f64 (-.f64 1/9 (*.f64 4/81 (*.f64 beta beta))) (-.f64 1/3 (*.f64 2/9 beta)))
(/.f64 (+.f64 1/9 (*.f64 -4/81 (*.f64 beta beta))) (+.f64 1/3 (*.f64 -2/9 beta)))
(/.f64 (+.f64 1/9 (*.f64 (*.f64 -4/81 beta) beta)) (+.f64 1/3 (*.f64 beta -2/9)))
(/.f64 (/.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) 1) (fma.f64 2/9 beta -1/3))
(/.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9) (fma.f64 2/9 beta -1/3))
(/.f64 (/.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) (sqrt.f64 (fma.f64 2/9 beta -1/3))) (sqrt.f64 (fma.f64 2/9 beta -1/3)))
(/.f64 (/.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9) (sqrt.f64 (fma.f64 2/9 beta -1/3))) (sqrt.f64 (fma.f64 2/9 beta -1/3)))
(/.f64 (/.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) (*.f64 (cbrt.f64 (fma.f64 2/9 beta -1/3)) (cbrt.f64 (fma.f64 2/9 beta -1/3)))) (cbrt.f64 (fma.f64 2/9 beta -1/3)))
(/.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9) (*.f64 (cbrt.f64 (fma.f64 2/9 beta -1/3)) (*.f64 (cbrt.f64 (fma.f64 2/9 beta -1/3)) (cbrt.f64 (fma.f64 2/9 beta -1/3)))))
(/.f64 (/.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))) 1) (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))))
(/.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27) (-.f64 (fma.f64 4/81 (*.f64 beta beta) 1/9) (*.f64 beta 2/27)))
(/.f64 (/.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))) (sqrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))))) (sqrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27)))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27) (sqrt.f64 (-.f64 (fma.f64 4/81 (*.f64 beta beta) 1/9) (*.f64 beta 2/27)))) (sqrt.f64 (-.f64 (fma.f64 4/81 (*.f64 beta beta) 1/9) (*.f64 beta 2/27))))
(/.f64 (/.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))) (*.f64 (cbrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27)))) (cbrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27)))))) (cbrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27)))))
(/.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27) (*.f64 (cbrt.f64 (-.f64 (fma.f64 4/81 (*.f64 beta beta) 1/9) (*.f64 beta 2/27))) (*.f64 (cbrt.f64 (-.f64 (fma.f64 4/81 (*.f64 beta beta) 1/9) (*.f64 beta 2/27))) (cbrt.f64 (-.f64 (fma.f64 4/81 (*.f64 beta beta) 1/9) (*.f64 beta 2/27))))))
(pow.f64 (fma.f64 2/9 beta 1/3) 1)
(fma.f64 beta 2/9 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) 2)
(fma.f64 beta 2/9 1/3)
(pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 3)
(fma.f64 beta 2/9 1/3)
(pow.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 3) 1/3)
(fma.f64 beta 2/9 1/3)
(sqrt.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 2))
(sqrt.f64 (pow.f64 (fma.f64 beta 2/9 1/3) 2))
(log.f64 (exp.f64 (fma.f64 2/9 beta 1/3)))
(fma.f64 beta 2/9 1/3)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/9 beta 1/3))))
(fma.f64 beta 2/9 1/3)
(cbrt.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 3))
(fma.f64 beta 2/9 1/3)
(expm1.f64 (log1p.f64 (fma.f64 2/9 beta 1/3)))
(fma.f64 beta 2/9 1/3)
(exp.f64 (log.f64 (fma.f64 2/9 beta 1/3)))
(fma.f64 beta 2/9 1/3)
(exp.f64 (*.f64 (log.f64 (fma.f64 2/9 beta 1/3)) 1))
(fma.f64 beta 2/9 1/3)
(log1p.f64 (expm1.f64 (fma.f64 2/9 beta 1/3)))
(fma.f64 beta 2/9 1/3)
(fma.f64 2/9 beta 1/3)
(fma.f64 beta 2/9 1/3)
(fma.f64 beta 2/9 1/3)
(fma.f64 1 (*.f64 2/9 beta) 1/3)
(fma.f64 beta 2/9 1/3)
(fma.f64 (sqrt.f64 (*.f64 2/9 beta)) (sqrt.f64 (*.f64 2/9 beta)) 1/3)
(+.f64 (pow.f64 (sqrt.f64 (*.f64 beta 2/9)) 2) 1/3)
(+.f64 1/3 (pow.f64 (sqrt.f64 (*.f64 beta 2/9)) 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2/9 beta)) 2) (cbrt.f64 (*.f64 2/9 beta)) 1/3)
(fma.f64 beta 2/9 1/3)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 70 to 49 computations (30% saved)

series9.0ms (0%)

Counts
4 → 84
Calls

21 calls:

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

rewrite116.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1852×distribute-lft-in
384×add-sqr-sqrt
370×pow1
370×*-un-lft-identity
360×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016130
1379118
25505118
Stop Event
node limit
Counts
4 → 202
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (+.f64 alpha 2)) 1 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)) (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (neg.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 -2 (*.f64 -1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 beta beta)) (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 beta beta)))))) (#(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 (+.f64 beta (+.f64 alpha 2)) (-.f64 -1 beta)) (-.f64 -3 beta)) (-.f64 -2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (-.f64 -2 (+.f64 beta alpha)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 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simplify149.0ms (0.7%)

Algorithm
egg-herbie
Rules
1604×associate-*l*
1376×associate-*r*
960×associate-*l/
876×associate-/r*
808×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
086219014
1285418734
Stop Event
node limit
Counts
286 → 479
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))))
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(/.f64 1 beta)
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(/.f64 1 (+.f64 beta 2))
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(/.f64 1 alpha)
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(/.f64 1 beta)
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
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(+.f64 (*.f64 -1 (*.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)))) alpha)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 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)))) (pow.f64 alpha 2)) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) alpha))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (pow.f64 alpha 2)))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) alpha)) (/.f64 beta (*.f64 (+.f64 beta 3) alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) alpha)) (/.f64 beta (*.f64 (+.f64 beta 3) alpha)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) alpha)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) alpha)) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 3)) (*.f64 (+.f64 beta 3) (pow.f64 alpha 4))))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) alpha))
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(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) alpha)) (/.f64 beta (*.f64 (+.f64 beta 3) alpha)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) alpha)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) alpha)) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 3)) (*.f64 (+.f64 beta 3) (pow.f64 alpha 4))))))))
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))))
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(+.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 beta beta)) (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(+.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 beta beta)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))) 1)
(/.f64 -1 (*.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -1 beta)) (-.f64 -3 beta)) (-.f64 -2 (+.f64 beta alpha))))
(/.f64 -1 (*.f64 (-.f64 -2 (+.f64 beta alpha)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -1 beta)) (-.f64 -3 beta))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))
(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 -1 (-.f64 -2 (+.f64 beta alpha)))))
(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 1))
(/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2))))))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -1 beta)) (-.f64 -3 beta))))
(/.f64 1 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))
(/.f64 1 (*.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -1 beta)) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -1 beta)) (-.f64 -3 beta)))
(/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2))))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2))))) 2) (/.f64 (+.f64 beta (+.f64 alpha 2)) (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))))))
(/.f64 (/.f64 (+.f64 beta 1) (-.f64 -3 beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (/.f64 (+.f64 beta 1) (-.f64 -3 beta)) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 beta 1) (-.f64 -3 beta)) (neg.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(/.f64 (+.f64 beta 1) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (*.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) -1) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (*.f64 (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) (-.f64 -1 beta)) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (-.f64 -3 beta))) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) -1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (*.f64 (-.f64 -1 beta) (/.f64 -1 (-.f64 -2 (+.f64 beta alpha)))) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (-.f64 -3 beta)) (/.f64 -1 (-.f64 -2 (+.f64 beta alpha)))) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (*.f64 -1 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2))))) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (-.f64 -3 beta)) 1) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) 1) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 (-.f64 -1 beta) -1) (*.f64 (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2))) (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (-.f64 -3 beta)) -1) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (-.f64 -3 beta))) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (neg.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2))))) (-.f64 -2 (+.f64 beta alpha)))
(pow.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) 3) (pow.f64 (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) 3) (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))
(exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (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 (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (+.f64 alpha 2)) 1 (+.f64 alpha 2))))
(+.f64 (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)) (+.f64 alpha 2))))
(+.f64 (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (+.f64 alpha 2))))
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (neg.f64 (+.f64 alpha 2))))
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 -2 (*.f64 -1 alpha))))
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))))) 1)
(*.f64 -1 (/.f64 1 (-.f64 -2 (+.f64 beta alpha))))
(*.f64 1 (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))))
(*.f64 (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) 1)
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (/.f64 -1 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -1) (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) -1)
(pow.f64 (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) 1)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) 2)
(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))
(log.f64 (exp.f64 (/.f64 -1 (-.f64 -2 (+.f64 beta alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))))))
(cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 -2 (+.f64 beta alpha)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1 (-.f64 -2 (+.f64 beta alpha)))))
(+.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (+.f64 alpha 2)) 1 (+.f64 alpha 2))))
(+.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)) (+.f64 alpha 2))))
(+.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (+.f64 alpha 2))))
(+.f64 (*.f64 (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) (/.f64 -1 (-.f64 -3 beta))) (*.f64 (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) (neg.f64 (/.f64 beta (-.f64 -3 beta)))))
(+.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (neg.f64 (+.f64 alpha 2))))
(+.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 -2 (*.f64 -1 alpha))))
(+.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))))
(+.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 alpha 2)))))
(+.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 beta beta)) (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(+.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 beta beta)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))))) 1)
(-.f64 (/.f64 -1 (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (/.f64 beta (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))))
(-.f64 (/.f64 (/.f64 -1 (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 beta (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (-.f64 -1 beta) (*.f64 (/.f64 -1 (+.f64 3 beta)) (/.f64 -1 (-.f64 -2 (+.f64 beta alpha)))))
(*.f64 (-.f64 -1 beta) (/.f64 1 (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))))
(*.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) 1)
(*.f64 1 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (/.f64 -1 (-.f64 -2 (+.f64 beta alpha)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2))))) (*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2))))) 1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (/.f64 -1 (-.f64 -2 (+.f64 beta alpha)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2))))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2))))) 2) (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2))))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2))))) 1))
(*.f64 (/.f64 (+.f64 beta 1) (-.f64 -3 beta)) (/.f64 1 (-.f64 -2 (+.f64 beta alpha))))
(*.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2))
(*.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) (/.f64 -1 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))))
(*.f64 (/.f64 (-.f64 -1 beta) 1) (/.f64 (/.f64 -1 (+.f64 3 beta)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 beta)) (+.f64 beta (+.f64 alpha 2))) (/.f64 (sqrt.f64 (-.f64 -1 beta)) (-.f64 -3 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (+.f64 beta (+.f64 alpha 2))) (/.f64 (cbrt.f64 (-.f64 -1 beta)) (-.f64 -3 beta)))
(*.f64 (/.f64 (-.f64 -1 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 -1 (+.f64 3 beta)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (-.f64 -1 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (/.f64 -1 (+.f64 3 beta)) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 1) (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2))))))
(pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2))))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) 3) 1/3)
(pow.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -1 beta)) (-.f64 -3 beta)) -1)
(neg.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (-.f64 -2 (+.f64 beta alpha))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 3) (pow.f64 (/.f64 -1 (-.f64 -2 (+.f64 beta alpha))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (log.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2))))))
(+.f64 (/.f64 -1 (-.f64 -3 beta)) (neg.f64 (/.f64 beta (-.f64 -3 beta))))
(+.f64 (/.f64 -1 (-.f64 -3 beta)) (*.f64 1 (neg.f64 (/.f64 beta (-.f64 -3 beta)))))
(+.f64 (neg.f64 (/.f64 beta (-.f64 -3 beta))) (/.f64 -1 (-.f64 -3 beta)))
(+.f64 (*.f64 (/.f64 -1 (+.f64 3 beta)) -1) (*.f64 (/.f64 -1 (+.f64 3 beta)) (neg.f64 beta)))
(+.f64 (*.f64 (/.f64 -1 (+.f64 3 beta)) -1) (*.f64 (/.f64 -1 (+.f64 3 beta)) (*.f64 (neg.f64 beta) 1)))
(+.f64 (*.f64 (/.f64 -1 (+.f64 3 beta)) (neg.f64 beta)) (*.f64 (/.f64 -1 (+.f64 3 beta)) -1))
(+.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 9 (*.f64 beta beta))) beta) (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 9 (*.f64 beta beta))) -3))
(+.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 9 (*.f64 beta beta))) -3) (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 9 (*.f64 beta beta))) beta))
(+.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -27 (pow.f64 beta 3))) 9) (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -27 (pow.f64 beta 3))) (*.f64 beta (+.f64 beta -3))))
(+.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -27 (pow.f64 beta 3))) (*.f64 beta (+.f64 beta -3))) (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -27 (pow.f64 beta 3))) 9))
(+.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -27 (pow.f64 beta 3))) (+.f64 9 (*.f64 beta beta))) (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -27 (pow.f64 beta 3))) (*.f64 beta -3)))
(-.f64 (/.f64 -1 (-.f64 -3 beta)) (/.f64 beta (-.f64 -3 beta)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))) 1)
(*.f64 (-.f64 -1 beta) (/.f64 -1 (+.f64 3 beta)))
(*.f64 (-.f64 -1 beta) (*.f64 (/.f64 -1 (+.f64 3 beta)) 1))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 1)
(*.f64 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 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 1))
(*.f64 (sqrt.f64 (-.f64 -1 beta)) (*.f64 (sqrt.f64 (-.f64 -1 beta)) (/.f64 -1 (+.f64 3 beta))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2) (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (*.f64 (cbrt.f64 (-.f64 -1 beta)) (/.f64 -1 (+.f64 3 beta))))
(*.f64 (/.f64 -1 (+.f64 3 beta)) (-.f64 -1 beta))
(*.f64 (+.f64 beta 1) (/.f64 -1 (-.f64 -3 beta)))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -3 beta))) (/.f64 (-.f64 -1 beta) (sqrt.f64 (-.f64 -3 beta))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -3 beta)) 2)) (/.f64 (-.f64 -1 beta) (cbrt.f64 (-.f64 -3 beta))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 9 (*.f64 beta beta))) (+.f64 beta -3))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -27 (pow.f64 beta 3))) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 beta)) 1) (/.f64 (sqrt.f64 (-.f64 -1 beta)) (-.f64 -3 beta)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 beta)) (pow.f64 (cbrt.f64 (-.f64 -3 beta)) 2)) (/.f64 (sqrt.f64 (-.f64 -1 beta)) (cbrt.f64 (-.f64 -3 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -1 beta)) (-.f64 -3 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (sqrt.f64 (-.f64 -3 beta))) (/.f64 (cbrt.f64 (-.f64 -1 beta)) (sqrt.f64 (-.f64 -3 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (pow.f64 (cbrt.f64 (-.f64 -3 beta)) 2)) (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))
(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 -3 beta) (-.f64 -1 beta)) -1)
(neg.f64 (/.f64 (-.f64 -1 beta) (+.f64 3 beta)))
(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 -1 beta) 3) (pow.f64 (-.f64 -3 beta) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 3 beta))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 3 beta))) 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 4 (*.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 -1/9 (/.f64 (fma.f64 6 (+.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)))
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(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha))) (+.f64 (+.f64 (/.f64 1 (*.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 beta (+.f64 beta 3)) alpha)) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha))) (+.f64 (/.f64 (/.f64 1 alpha) (+.f64 beta 3)) (/.f64 (/.f64 beta alpha) (+.f64 beta 3)))) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))
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(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha))) (+.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (*.f64 alpha (+.f64 beta 3))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) alpha) (neg.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4))))))))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) alpha))
(/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 beta 3)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (pow.f64 alpha 2)))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) alpha)) (/.f64 beta (*.f64 (+.f64 beta 3) alpha))))
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha))) (+.f64 (/.f64 1 (*.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 beta (+.f64 beta 3)) alpha)))
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha))) (+.f64 (/.f64 (/.f64 1 alpha) (+.f64 beta 3)) (/.f64 (/.f64 beta alpha) (+.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (pow.f64 alpha 2)))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (+.f64 beta 3) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) alpha)) (/.f64 beta (*.f64 (+.f64 beta 3) alpha)))))
(fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha))) (+.f64 (+.f64 (/.f64 1 (*.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 beta (+.f64 beta 3)) alpha)) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha))) (+.f64 (/.f64 (/.f64 1 alpha) (+.f64 beta 3)) (/.f64 (/.f64 beta alpha) (+.f64 beta 3)))) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3))))
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(+.f64 (+.f64 (fma.f64 -1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (/.f64 (+.f64 2 beta) (*.f64 alpha alpha))) (+.f64 (/.f64 (/.f64 1 alpha) (+.f64 beta 3)) (/.f64 (/.f64 beta alpha) (+.f64 beta 3)))) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)))) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (neg.f64 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4)))))
1/3
(+.f64 (*.f64 2/9 beta) 1/3)
(fma.f64 2/9 beta 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))
(+.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)))
(+.f64 (fma.f64 -2/27 (*.f64 beta beta) (fma.f64 2/9 beta 1/3)) (*.f64 (pow.f64 beta 3) 2/81))
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 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 1 (-.f64 (/.f64 6 (*.f64 beta beta)) (+.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 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 1 (-.f64 (/.f64 6 (*.f64 beta beta)) (+.f64 (/.f64 2 beta) (/.f64 18 (pow.f64 beta 3)))))
(+.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (+.f64 alpha 2)) 1 (+.f64 alpha 2))))
(fma.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 alpha beta) 2) -2) (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 (+.f64 alpha beta) 2))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2))) (fma.f64 (+.f64 -2 (neg.f64 alpha)) 1 (+.f64 2 alpha))))
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(+.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (+.f64 alpha 2))))
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(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 (+.f64 alpha beta))) (-.f64 -3 beta)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 beta (-.f64 -2 alpha)))
(+.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 -2 (*.f64 -1 alpha))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 (+.f64 alpha beta) 2))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (-.f64 beta alpha) 2))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 (+.f64 alpha beta))) (-.f64 -3 beta)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 beta (-.f64 -2 alpha)))
(+.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 (+.f64 alpha beta) 2))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 beta (*.f64 (sqrt.f64 (+.f64 2 alpha)) (neg.f64 (sqrt.f64 (+.f64 2 alpha))))))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 (+.f64 alpha beta))) (-.f64 -3 beta)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 beta (*.f64 (sqrt.f64 (+.f64 2 alpha)) (neg.f64 (sqrt.f64 (+.f64 2 alpha))))))
(+.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 alpha 2)))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 (+.f64 alpha beta) 2))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 beta (*.f64 (cbrt.f64 (+.f64 2 alpha)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 2 alpha)) 2)))))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 (+.f64 alpha beta))) (-.f64 -3 beta)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 beta (*.f64 (cbrt.f64 (+.f64 2 alpha)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 2 alpha)) 2)))))
(+.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 beta beta)) (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(*.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 (-.f64 -3 beta) (+.f64 (+.f64 alpha beta) 2)))) (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (+.f64 alpha (-.f64 2 beta)))))
(/.f64 (*.f64 (-.f64 -1 beta) (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) beta)))) (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 (-.f64 -3 beta) (+.f64 2 (+.f64 alpha beta)))))
(+.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 beta beta)))
(*.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 (-.f64 -3 beta) (+.f64 (+.f64 alpha beta) 2)))) (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (+.f64 alpha (-.f64 2 beta)))))
(/.f64 (*.f64 (-.f64 -1 beta) (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) beta)))) (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (*.f64 (-.f64 -3 beta) (+.f64 2 (+.f64 alpha beta)))))
(-.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 alpha beta) 2) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(/.f64 -1 (*.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -1 beta)) (-.f64 -3 beta)) (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (/.f64 -1 (*.f64 (-.f64 -3 beta) (/.f64 (+.f64 (+.f64 alpha beta) 2) (-.f64 -1 beta)))) (-.f64 -2 (+.f64 alpha beta)))
(/.f64 (/.f64 (/.f64 (neg.f64 (-.f64 -1 beta)) (-.f64 -3 beta)) (+.f64 2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta)))
(/.f64 -1 (*.f64 (-.f64 -2 (+.f64 beta alpha)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 -1 beta)) (-.f64 -3 beta))))
(/.f64 (/.f64 -1 (*.f64 (-.f64 -3 beta) (/.f64 (+.f64 (+.f64 alpha beta) 2) (-.f64 -1 beta)))) (-.f64 -2 (+.f64 alpha beta)))
(/.f64 (/.f64 (/.f64 (neg.f64 (-.f64 -1 beta)) (-.f64 -3 beta)) (+.f64 2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta)))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 alpha beta) 2) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 alpha beta) 2) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(/.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 alpha beta) 2) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 -1 (-.f64 -2 (+.f64 beta alpha)))))
(/.f64 (/.f64 -1 (*.f64 (-.f64 -3 beta) (/.f64 (+.f64 (+.f64 alpha beta) 2) (-.f64 -1 beta)))) (-.f64 -2 (+.f64 alpha beta)))
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(*.f64 (-.f64 -1 beta) (/.f64 -1 (+.f64 3 beta)))
(*.f64 (-.f64 -1 beta) (/.f64 -1 (+.f64 beta 3)))
(/.f64 (neg.f64 (-.f64 -1 beta)) (+.f64 beta 3))
(*.f64 (-.f64 -1 beta) (*.f64 (/.f64 -1 (+.f64 3 beta)) 1))
(*.f64 (-.f64 -1 beta) (/.f64 -1 (+.f64 beta 3)))
(/.f64 (neg.f64 (-.f64 -1 beta)) (+.f64 beta 3))
(*.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 (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))) (*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 1))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(*.f64 (sqrt.f64 (-.f64 -1 beta)) (*.f64 (sqrt.f64 (-.f64 -1 beta)) (/.f64 -1 (+.f64 3 beta))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 -1 beta)) (sqrt.f64 (-.f64 -1 beta))) (/.f64 -1 (+.f64 beta 3)))
(*.f64 (/.f64 -1 (+.f64 beta 3)) (*.f64 (sqrt.f64 (-.f64 -1 beta)) (sqrt.f64 (-.f64 -1 beta))))
(*.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) (*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 1))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (*.f64 (cbrt.f64 (-.f64 -1 beta)) (/.f64 -1 (+.f64 3 beta))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (*.f64 (/.f64 -1 (+.f64 beta 3)) (cbrt.f64 (-.f64 -1 beta))))
(*.f64 (/.f64 -1 (+.f64 beta 3)) (*.f64 (cbrt.f64 (-.f64 -1 beta)) (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2)))
(*.f64 (/.f64 -1 (+.f64 3 beta)) (-.f64 -1 beta))
(*.f64 (-.f64 -1 beta) (/.f64 -1 (+.f64 beta 3)))
(/.f64 (neg.f64 (-.f64 -1 beta)) (+.f64 beta 3))
(*.f64 (+.f64 beta 1) (/.f64 -1 (-.f64 -3 beta)))
(neg.f64 (/.f64 (+.f64 beta 1) (-.f64 -3 beta)))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -3 beta))) (/.f64 (-.f64 -1 beta) (sqrt.f64 (-.f64 -3 beta))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -3 beta)) 2)) (/.f64 (-.f64 -1 beta) (cbrt.f64 (-.f64 -3 beta))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 9 (*.f64 beta beta))) (+.f64 beta -3))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -27 (pow.f64 beta 3))) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 beta)) 1) (/.f64 (sqrt.f64 (-.f64 -1 beta)) (-.f64 -3 beta)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 -1 beta)) (sqrt.f64 (-.f64 -1 beta))) (-.f64 -3 beta))
(*.f64 (sqrt.f64 (-.f64 -1 beta)) (/.f64 (sqrt.f64 (-.f64 -1 beta)) (-.f64 -3 beta)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 beta)) (pow.f64 (cbrt.f64 (-.f64 -3 beta)) 2)) (/.f64 (sqrt.f64 (-.f64 -1 beta)) (cbrt.f64 (-.f64 -3 beta))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 -1 beta)) (/.f64 (sqrt.f64 (-.f64 -1 beta)) (cbrt.f64 (-.f64 -3 beta)))) (pow.f64 (cbrt.f64 (-.f64 -3 beta)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -1 beta)) (-.f64 -3 beta)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (/.f64 (cbrt.f64 (-.f64 -1 beta)) (-.f64 -3 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (sqrt.f64 (-.f64 -3 beta))) (/.f64 (cbrt.f64 (-.f64 -1 beta)) (sqrt.f64 (-.f64 -3 beta))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (/.f64 (cbrt.f64 (-.f64 -1 beta)) (sqrt.f64 (-.f64 -3 beta)))) (sqrt.f64 (-.f64 -3 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (pow.f64 (cbrt.f64 (-.f64 -3 beta)) 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 -1 beta)) 2) (pow.f64 (cbrt.f64 (-.f64 -3 beta)) 2)))
(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 -3 beta) (-.f64 -1 beta)) -1)
(/.f64 1 (/.f64 (-.f64 -3 beta) (-.f64 -1 beta)))
(neg.f64 (/.f64 (-.f64 -1 beta) (+.f64 3 beta)))
(*.f64 (-.f64 -1 beta) (/.f64 -1 (+.f64 beta 3)))
(/.f64 (neg.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))))
(/.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 -1 beta) 3) (pow.f64 (-.f64 -3 beta) 3)))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))
(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 3 beta))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 3))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 3 beta))) 1))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 3))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))))
(/.f64 (-.f64 -1 beta) (-.f64 -3 beta))

eval1.3s (6.1%)

Compiler

Compiled 61888 to 45551 computations (26.4% saved)

prune678.0ms (3.1%)

Pruning

35 alts after pruning (30 fresh and 5 done)

PrunedKeptTotal
New1680141694
Fresh41620
Picked101
Done257
Total1687351722
Error
0b
Counts
1722 → 35
Alt Table
Click to see full alt table
StatusErrorProgram
33.7b
(pow.f64 beta -2)
4.3b
(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 beta 2) (+.f64 alpha (*.f64 beta alpha))) 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
25.5b
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
4.9b
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
24.7b
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
14.4b
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 1 (+.f64 2 alpha))))
29.8b
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) beta)
15.5b
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 2 alpha) (neg.f64 (*.f64 beta (+.f64 1 alpha)))))) (+.f64 alpha (+.f64 beta 3)))
29.8b
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
28.8b
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
16.5b
(/.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 2/9 beta))) 2/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
34.0b
(/.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (-.f64 4 (*.f64 beta beta))))
34.2b
(/.f64 (-.f64 1 (/.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
16.1b
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
27.4b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
32.3b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
43.5b
(/.f64 alpha (*.f64 beta beta))
29.2b
(/.f64 1 (/.f64 (+.f64 beta 2) (/.f64 1 (+.f64 beta 3))))
55.7b
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
29.2b
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
33.5b
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
34.1b
(/.f64 1 (*.f64 beta beta))
15.3b
(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
60.2b
(/.f64 2/9 beta)
57.7b
(+.f64 (*.f64 -5/36 beta) 1/6)
4.6b
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 beta 2)))
0.1b
(*.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))))
0.1b
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))))
0.1b
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
4.9b
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
30.4b
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
30.5b
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
28.9b
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2)))
31.1b
(*.f64 (/.f64 1/3 (+.f64 2 alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
57.0b
1/6
Compiler

Compiled 1002 to 744 computations (25.7% saved)

localize82.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))
0.0b
(log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))
0.0b
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))))
0.1b
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2)))
Compiler

Compiled 118 to 74 computations (37.3% saved)

series13.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
5.0ms
alpha
@0
(log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))
3.0ms
alpha
@inf
(log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))
1.0ms
beta
@0
(log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))
1.0ms
alpha
@-inf
(log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))
1.0ms
beta
@-inf
(log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))

rewrite143.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1390×distribute-lft-in
1162×associate-/r*
858×associate-/l*
696×associate-/r/
490×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01354
128554
2368254
Stop Event
node limit
Counts
2 → 182
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))))
(log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (*.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) beta) (/.f64 1 (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 1 beta) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) 2) (*.f64 (/.f64 (+.f64 1 beta) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (neg.f64 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 1 beta) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) 2) (*.f64 (/.f64 (+.f64 1 beta) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (*.f64 -1 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 1 beta) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) 2) (*.f64 (/.f64 (+.f64 1 beta) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 beta alpha))) (sqrt.f64 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 1 beta) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) 2) (*.f64 (/.f64 (+.f64 1 beta) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2)) (cbrt.f64 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) 4) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (*.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (*.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 alpha 2)))) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 beta) (/.f64 1 (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 beta)) (*.f64 (hypot.f64 1 (sqrt.f64 beta)) (/.f64 1 (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) 2) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 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 (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (+.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 beta) (/.f64 1 (-.f64 -2 (+.f64 beta alpha))))))) 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simplify182.0ms (0.8%)

Algorithm
egg-herbie
Rules
1014×distribute-lft-in
938×distribute-rgt-in
934×*-commutative
888×associate-*r*
686×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077716016
1245315712
Stop Event
node limit
Counts
230 → 458
Calls
Call 1
Inputs
(/.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)))))
(log.f64 (+.f64 1 (/.f64 1 (+.f64 2 alpha))))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 1 (/.f64 1 (+.f64 2 alpha))))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (/.f64 1 (+.f64 2 alpha))))))) (log.f64 (+.f64 1 (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (*.f64 beta (-.f64 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 1 (/.f64 1 (+.f64 2 alpha))))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (/.f64 1 (+.f64 2 alpha))))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) 2) (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 alpha))) 2))) (*.f64 2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 (/.f64 1 (+.f64 2 alpha)))))))) (log.f64 (+.f64 1 (/.f64 1 (+.f64 2 alpha))))))
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(/.f64 (+.f64 beta 1) alpha)
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(/.f64 (+.f64 beta 1) alpha)
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(/.f64 1 (/.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 (-.f64 (*.f64 beta beta) beta))) (+.f64 1 (pow.f64 beta 3))))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) 1)
(/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta))))
(/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (hypot.f64 1 (sqrt.f64 beta))))
(/.f64 (hypot.f64 1 (sqrt.f64 beta)) (/.f64 (+.f64 beta (+.f64 2 alpha)) (hypot.f64 1 (sqrt.f64 beta))))
(/.f64 (hypot.f64 1 (sqrt.f64 beta)) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (hypot.f64 1 (sqrt.f64 beta)))))
(/.f64 (cbrt.f64 (+.f64 1 beta)) (/.f64 (+.f64 beta (+.f64 2 alpha)) (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)))
(/.f64 (cbrt.f64 (+.f64 1 beta)) (/.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (hypot.f64 1 (sqrt.f64 beta))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 beta)))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (cbrt.f64 (+.f64 1 beta))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (neg.f64 (cbrt.f64 (+.f64 1 beta)))))
(/.f64 (-.f64 1 (*.f64 beta beta)) (*.f64 (+.f64 beta (+.f64 2 alpha)) (-.f64 1 beta)))
(/.f64 (-.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 1 (-.f64 1 beta))))
(/.f64 (-.f64 1 (*.f64 beta beta)) (/.f64 (-.f64 1 beta) (/.f64 1 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (-.f64 1 (*.f64 beta beta)) (/.f64 (*.f64 (-.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) 1))
(/.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (/.f64 1 (+.f64 1 beta)))
(/.f64 (+.f64 1 (pow.f64 beta 3)) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 (-.f64 (*.f64 beta beta) beta))))
(/.f64 (+.f64 1 (pow.f64 beta 3)) (/.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 1 (+.f64 1 (-.f64 (*.f64 beta beta) beta)))))
(/.f64 (+.f64 1 (pow.f64 beta 3)) (/.f64 (+.f64 1 (-.f64 (*.f64 beta beta) beta)) (/.f64 1 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (+.f64 1 (pow.f64 beta 3)) (/.f64 (*.f64 (+.f64 1 (-.f64 (*.f64 beta beta) beta)) (+.f64 beta (+.f64 2 alpha))) 1))
(/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (/.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (hypot.f64 1 (sqrt.f64 beta))) (sqrt.f64 (cbrt.f64 (+.f64 1 beta)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (/.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (cbrt.f64 (+.f64 1 beta))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 beta beta))) (/.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (-.f64 1 beta)) (sqrt.f64 (-.f64 1 (*.f64 beta beta)))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 beta beta))) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (hypot.f64 1 (sqrt.f64 beta))) (sqrt.f64 (-.f64 1 beta))))
(/.f64 (sqrt.f64 (hypot.f64 1 (sqrt.f64 beta))) (/.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (hypot.f64 1 (sqrt.f64 beta))) (sqrt.f64 (hypot.f64 1 (sqrt.f64 beta)))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 beta 3))) (/.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 (-.f64 (*.f64 beta beta) beta))) (sqrt.f64 (+.f64 1 (pow.f64 beta 3)))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 beta 3))) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (hypot.f64 1 (sqrt.f64 beta))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 beta beta) beta)))))
(/.f64 (sqrt.f64 (-.f64 -1 beta)) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (sqrt.f64 (-.f64 -1 beta))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2))) (/.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (cbrt.f64 (+.f64 1 beta))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (*.f64 beta beta))) (cbrt.f64 (-.f64 1 (*.f64 beta beta)))) (/.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (-.f64 1 beta)) (cbrt.f64 (-.f64 1 (*.f64 beta beta)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 beta 3))) (cbrt.f64 (+.f64 1 (pow.f64 beta 3)))) (/.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 (-.f64 (*.f64 beta beta) beta))) (cbrt.f64 (+.f64 1 (pow.f64 beta 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 -1 beta)) (cbrt.f64 (-.f64 -1 beta))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (cbrt.f64 (-.f64 -1 beta))))
(/.f64 (*.f64 (-.f64 1 (*.f64 beta beta)) (/.f64 1 (+.f64 beta (+.f64 2 alpha)))) (-.f64 1 beta))
(/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) (/.f64 1 (+.f64 beta (+.f64 2 alpha)))) (+.f64 1 (-.f64 (*.f64 beta beta) beta)))
(/.f64 (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 1 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) (cbrt.f64 (+.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 1 beta) (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2))
(/.f64 (/.f64 (+.f64 1 beta) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (/.f64 1 (-.f64 2 (+.f64 beta alpha))))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (/.f64 1 (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 alpha 2))))))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta))))
(/.f64 -1 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 1 beta)))
(/.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 beta))) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (hypot.f64 1 (sqrt.f64 beta))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (cbrt.f64 (+.f64 1 beta))))
(/.f64 (neg.f64 (-.f64 1 (*.f64 beta beta))) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 1 beta)))
(/.f64 (neg.f64 (-.f64 1 (*.f64 beta beta))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (-.f64 1 beta))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 beta 3))) (*.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 1 (-.f64 (*.f64 beta beta) beta))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 beta 3))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (neg.f64 (+.f64 1 (-.f64 (*.f64 beta beta) beta)))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3))) (*.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 (-.f64 (*.f64 beta beta) beta))) (-.f64 1 (pow.f64 beta 3))))
(/.f64 (-.f64 (*.f64 beta beta) 1) (*.f64 (+.f64 beta (+.f64 2 alpha)) (-.f64 beta 1)))
(/.f64 (-.f64 1 (*.f64 (*.f64 beta beta) (*.f64 beta beta))) (*.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (-.f64 1 beta)) (+.f64 1 (*.f64 beta beta))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) (+.f64 1 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))))) 1) (+.f64 2 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 beta 3) 3)) (*.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 (-.f64 (*.f64 beta beta) beta))) (+.f64 1 (-.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (pow.f64 beta 3)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 beta beta) 3)) (*.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (-.f64 1 beta)) (+.f64 1 (+.f64 (*.f64 beta beta) (*.f64 (*.f64 beta beta) (*.f64 beta beta))))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) 3) 1) (+.f64 (*.f64 (+.f64 1 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) (+.f64 1 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))))) (+.f64 1 (*.f64 (+.f64 1 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) 1))))
(/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) 1) (/.f64 (+.f64 beta (+.f64 2 alpha)) (hypot.f64 1 (sqrt.f64 beta))))
(/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) (hypot.f64 1 (sqrt.f64 beta))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) 1) (/.f64 (+.f64 beta (+.f64 2 alpha)) (cbrt.f64 (+.f64 1 beta))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (cbrt.f64 (+.f64 1 beta))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) (cbrt.f64 (+.f64 1 beta))))
(/.f64 (*.f64 (-.f64 1 (*.f64 beta beta)) 1) (*.f64 (-.f64 1 beta) (+.f64 beta (+.f64 2 alpha))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) 1) (*.f64 (+.f64 1 (-.f64 (*.f64 beta beta) beta)) (+.f64 beta (+.f64 2 alpha))))
(/.f64 (neg.f64 (-.f64 -1 beta)) (neg.f64 (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta))) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta))))) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta))))
(/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 2 alpha)) (-.f64 1 (*.f64 beta beta)))) (-.f64 1 beta))
(/.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 (pow.f64 beta 3)))) (+.f64 1 (-.f64 (*.f64 beta beta) beta)))
(/.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) 1)) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (+.f64 1 beta)))
(/.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) 1)) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) (+.f64 1 beta)))
(/.f64 (/.f64 (-.f64 1 (*.f64 beta beta)) (+.f64 beta (+.f64 2 alpha))) (-.f64 1 beta))
(/.f64 (/.f64 (+.f64 1 (pow.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))) (+.f64 1 (-.f64 (*.f64 beta beta) beta)))
(/.f64 (/.f64 (-.f64 -1 beta) 1) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 (-.f64 -1 beta) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (-.f64 -1 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) (neg.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (-.f64 -1 beta) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha)))) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))) (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))))) (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (/.f64 (-.f64 -1 beta) -1) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (-.f64 -1 beta) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 (-.f64 -1 beta) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2))) (cbrt.f64 (+.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 beta beta)) (/.f64 1 (+.f64 beta (+.f64 2 alpha)))) 1) (-.f64 1 beta))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 beta beta)) (/.f64 1 (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (-.f64 1 beta))) (sqrt.f64 (-.f64 1 beta)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 beta beta)) (/.f64 1 (+.f64 beta (+.f64 2 alpha)))) (*.f64 (cbrt.f64 (-.f64 1 beta)) (cbrt.f64 (-.f64 1 beta)))) (cbrt.f64 (-.f64 1 beta)))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) (/.f64 1 (+.f64 beta (+.f64 2 alpha)))) 1) (+.f64 1 (-.f64 (*.f64 beta beta) beta)))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) (/.f64 1 (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 beta beta) beta)))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 beta beta) beta))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) (/.f64 1 (+.f64 beta (+.f64 2 alpha)))) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (*.f64 beta beta) beta))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 beta beta) beta))))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 beta beta) beta))))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) 1) (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))) (cbrt.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))) (sqrt.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) 1) (cbrt.f64 (+.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))))) (sqrt.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))) (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))))) (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (/.f64 (+.f64 1 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))) (cbrt.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 beta beta)) 1) (-.f64 1 beta)) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) 1) (+.f64 1 (-.f64 (*.f64 beta beta) beta))) (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta)) -1)
(neg.f64 (/.f64 (+.f64 1 beta) (-.f64 -2 (+.f64 beta alpha))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 beta) 3) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3)))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta (+.f64 2 alpha)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta (+.f64 2 alpha)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))))) 1)
(*.f64 1 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))))) (sqrt.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))))) 2) (cbrt.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))))))
(pow.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) 2))
(log.f64 (+.f64 1 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))))) 1))
Outputs
(/.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)))
(fma.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))))
(fma.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (+.f64 2 alpha))))
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1
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(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 1 beta) alpha)
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(log.f64 (+.f64 1 (/.f64 1 (+.f64 2 alpha))))
(log1p.f64 (/.f64 1 (+.f64 2 alpha)))
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(log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 2 alpha) beta)))
(log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))))) 2))
(log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 2 alpha) beta)))
(log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))))) 2) (cbrt.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))))))
(log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 2 alpha) beta)))
(log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))
(pow.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) 1)
(log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 2 alpha) beta)))
(log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))))) 2)
(log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 2 alpha) beta)))
(log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))))) 3)
(log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 2 alpha) beta)))
(log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) 3) 1/3)
(log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 2 alpha) beta)))
(log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) 2))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 2 alpha) beta))) 2))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))) 2))
(log.f64 (+.f64 1 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))))
(log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 2 alpha) beta)))
(log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))) 3))
(log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 2 alpha) beta)))
(log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))))))
(log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 2 alpha) beta)))
(log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))))))
(log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 2 alpha) beta)))
(log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))))) 1))
(log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 2 alpha) beta)))
(log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.4b
(/.f64 2/9 beta)
Compiler

Compiled 7 to 5 computations (28.6% saved)

series0.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
0.0ms
beta
@-inf
(/.f64 2/9 beta)
0.0ms
beta
@0
(/.f64 2/9 beta)
0.0ms
beta
@inf
(/.f64 2/9 beta)

rewrite51.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
1022×add-sqr-sqrt
994×*-un-lft-identity
948×pow1
938×add-cube-cbrt
930×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11077
212627
Stop Event
node limit
Counts
1 → 20
Calls
Call 1
Inputs
(/.f64 2/9 beta)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 2/9 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/9 (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2/9 beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2/9 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 2/9 beta)) (sqrt.f64 (/.f64 2/9 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2/9 beta)) (cbrt.f64 (/.f64 4/81 (*.f64 beta beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4/81 (*.f64 beta beta))) (cbrt.f64 (/.f64 2/9 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) 2/9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2/9 (/.f64 1 (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2/9 beta) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2/9 beta)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2/9 beta)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2/9 beta) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 beta 9/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4/81 (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2/9 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2/9 beta) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2/9 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2/9 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2/9 beta)))))))

simplify40.0ms (0.2%)

Algorithm
egg-herbie
Rules
1012×associate-*r*
940×associate-*r/
900×associate-/l*
782×associate-*l*
692×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049378
1101264
2451150
32646144
Stop Event
node limit
Counts
20 → 24
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 2/9 beta)) 1)
(*.f64 2/9 (/.f64 1 beta))
(*.f64 (/.f64 2/9 beta) 1)
(*.f64 1 (/.f64 2/9 beta))
(*.f64 (sqrt.f64 (/.f64 2/9 beta)) (sqrt.f64 (/.f64 2/9 beta)))
(*.f64 (cbrt.f64 (/.f64 2/9 beta)) (cbrt.f64 (/.f64 4/81 (*.f64 beta beta))))
(*.f64 (cbrt.f64 (/.f64 4/81 (*.f64 beta beta))) (cbrt.f64 (/.f64 2/9 beta)))
(*.f64 (/.f64 1 beta) 2/9)
(*.f64 -2/9 (/.f64 1 (neg.f64 beta)))
(pow.f64 (/.f64 2/9 beta) 1)
(pow.f64 (sqrt.f64 (/.f64 2/9 beta)) 2)
(pow.f64 (cbrt.f64 (/.f64 2/9 beta)) 3)
(pow.f64 (pow.f64 (/.f64 2/9 beta) 3) 1/3)
(pow.f64 (*.f64 beta 9/2) -1)
(sqrt.f64 (/.f64 4/81 (*.f64 beta beta)))
(log.f64 (exp.f64 (/.f64 2/9 beta)))
(cbrt.f64 (pow.f64 (/.f64 2/9 beta) 3))
(expm1.f64 (log1p.f64 (/.f64 2/9 beta)))
(exp.f64 (log.f64 (/.f64 2/9 beta)))
(log1p.f64 (expm1.f64 (/.f64 2/9 beta)))
Outputs
(-.f64 (+.f64 1 (/.f64 2/9 beta)) 1)
(+.f64 (+.f64 1 (/.f64 2/9 beta)) -1)
(+.f64 (/.f64 2/9 beta) 0)
(/.f64 2/9 beta)
(*.f64 2/9 (/.f64 1 beta))
(+.f64 (+.f64 1 (/.f64 2/9 beta)) -1)
(+.f64 (/.f64 2/9 beta) 0)
(/.f64 2/9 beta)
(*.f64 (/.f64 2/9 beta) 1)
(+.f64 (+.f64 1 (/.f64 2/9 beta)) -1)
(+.f64 (/.f64 2/9 beta) 0)
(/.f64 2/9 beta)
(*.f64 1 (/.f64 2/9 beta))
(+.f64 (+.f64 1 (/.f64 2/9 beta)) -1)
(+.f64 (/.f64 2/9 beta) 0)
(/.f64 2/9 beta)
(*.f64 (sqrt.f64 (/.f64 2/9 beta)) (sqrt.f64 (/.f64 2/9 beta)))
(+.f64 (+.f64 1 (/.f64 2/9 beta)) -1)
(+.f64 (/.f64 2/9 beta) 0)
(/.f64 2/9 beta)
(*.f64 (cbrt.f64 (/.f64 2/9 beta)) (cbrt.f64 (/.f64 4/81 (*.f64 beta beta))))
(+.f64 (+.f64 1 (/.f64 2/9 beta)) -1)
(+.f64 (/.f64 2/9 beta) 0)
(/.f64 2/9 beta)
(*.f64 (cbrt.f64 (/.f64 4/81 (*.f64 beta beta))) (cbrt.f64 (/.f64 2/9 beta)))
(+.f64 (+.f64 1 (/.f64 2/9 beta)) -1)
(+.f64 (/.f64 2/9 beta) 0)
(/.f64 2/9 beta)
(*.f64 (/.f64 1 beta) 2/9)
(+.f64 (+.f64 1 (/.f64 2/9 beta)) -1)
(+.f64 (/.f64 2/9 beta) 0)
(/.f64 2/9 beta)
(*.f64 -2/9 (/.f64 1 (neg.f64 beta)))
(+.f64 (+.f64 1 (/.f64 2/9 beta)) -1)
(+.f64 (/.f64 2/9 beta) 0)
(/.f64 2/9 beta)
(pow.f64 (/.f64 2/9 beta) 1)
(+.f64 (+.f64 1 (/.f64 2/9 beta)) -1)
(+.f64 (/.f64 2/9 beta) 0)
(/.f64 2/9 beta)
(pow.f64 (sqrt.f64 (/.f64 2/9 beta)) 2)
(+.f64 (+.f64 1 (/.f64 2/9 beta)) -1)
(+.f64 (/.f64 2/9 beta) 0)
(/.f64 2/9 beta)
(pow.f64 (cbrt.f64 (/.f64 2/9 beta)) 3)
(+.f64 (+.f64 1 (/.f64 2/9 beta)) -1)
(+.f64 (/.f64 2/9 beta) 0)
(/.f64 2/9 beta)
(pow.f64 (pow.f64 (/.f64 2/9 beta) 3) 1/3)
(+.f64 (+.f64 1 (/.f64 2/9 beta)) -1)
(+.f64 (/.f64 2/9 beta) 0)
(/.f64 2/9 beta)
(pow.f64 (*.f64 beta 9/2) -1)
(+.f64 (+.f64 1 (/.f64 2/9 beta)) -1)
(+.f64 (/.f64 2/9 beta) 0)
(/.f64 2/9 beta)
(sqrt.f64 (/.f64 4/81 (*.f64 beta beta)))
(fabs.f64 (/.f64 2/9 beta))
(log.f64 (exp.f64 (/.f64 2/9 beta)))
(+.f64 (+.f64 1 (/.f64 2/9 beta)) -1)
(+.f64 (/.f64 2/9 beta) 0)
(/.f64 2/9 beta)
(cbrt.f64 (pow.f64 (/.f64 2/9 beta) 3))
(+.f64 (+.f64 1 (/.f64 2/9 beta)) -1)
(+.f64 (/.f64 2/9 beta) 0)
(/.f64 2/9 beta)
(expm1.f64 (log1p.f64 (/.f64 2/9 beta)))
(+.f64 (+.f64 1 (/.f64 2/9 beta)) -1)
(+.f64 (/.f64 2/9 beta) 0)
(/.f64 2/9 beta)
(exp.f64 (log.f64 (/.f64 2/9 beta)))
(+.f64 (+.f64 1 (/.f64 2/9 beta)) -1)
(+.f64 (/.f64 2/9 beta) 0)
(/.f64 2/9 beta)
(log1p.f64 (expm1.f64 (/.f64 2/9 beta)))
(+.f64 (+.f64 1 (/.f64 2/9 beta)) -1)
(+.f64 (/.f64 2/9 beta) 0)
(/.f64 2/9 beta)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 beta 3))
0.1b
(/.f64 (/.f64 1 (+.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 1 (+.f64 beta 3))
0.0ms
beta
@-inf
(/.f64 1 (+.f64 beta 3))
0.0ms
beta
@0
(/.f64 1 (+.f64 beta 3))
0.0ms
beta
@-inf
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
0.0ms
beta
@inf
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))

rewrite104.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1190×associate-/r*
996×*-commutative
886×associate-/l*
668×associate-/r/
556×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
122738
2298338
Stop Event
node limit
Counts
2 → 139
Calls
Call 1
Inputs
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 1 (+.f64 beta 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) beta) (*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 beta beta)) (*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta -2))) (*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)))) (*.f64 -2 (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 beta beta) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))) (*.f64 (+.f64 4 (*.f64 beta -2)) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 4 (*.f64 beta -2)) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))) (*.f64 (*.f64 beta beta) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))) (sqrt.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta 3) -1/2) (/.f64 (pow.f64 (+.f64 beta 3) -1/2) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))) (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))) 2) (cbrt.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (*.f64 (cbrt.f64 (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta -2) (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 beta 3)) (/.f64 1 (-.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))) (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 (/.f64 1 (+.f64 beta 3)) (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (/.f64 1 (+.f64 beta 3)) (cbrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (sqrt.f64 (+.f64 beta 2))) (/.f64 1 (sqrt.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (cbrt.f64 (+.f64 beta 2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 beta beta -4)) (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 beta 3))) (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -2 beta)) (/.f64 -1 (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 beta 3) -1/2) (+.f64 beta 2)) (pow.f64 (+.f64 beta 3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 beta 3) -1/2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (pow.f64 (+.f64 beta 3) -1/2) (cbrt.f64 (+.f64 beta 2))))))) 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simplify117.0ms (0.5%)

Algorithm
egg-herbie
Rules
756×associate-/l/
728×associate-*r*
712×associate-*l*
708×+-commutative
610×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04296241
113205589
260345589
Stop Event
node limit
Counts
163 → 249
Calls
Call 1
Inputs
1/6
(+.f64 (*.f64 -5/36 beta) 1/6)
(+.f64 (*.f64 -5/36 beta) (+.f64 1/6 (*.f64 19/216 (pow.f64 beta 2))))
(+.f64 (*.f64 -5/36 beta) (+.f64 1/6 (+.f64 (*.f64 -65/1296 (pow.f64 beta 3)) (*.f64 19/216 (pow.f64 beta 2)))))
(/.f64 1 (pow.f64 beta 2))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (*.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
(/.f64 1 (pow.f64 beta 2))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (+.f64 (*.f64 65 (/.f64 1 (pow.f64 beta 5))) (*.f64 5 (/.f64 1 (pow.f64 beta 3)))))
1/3
(+.f64 1/3 (*.f64 -1/9 beta))
(+.f64 1/3 (+.f64 (*.f64 -1/9 beta) (*.f64 1/27 (pow.f64 beta 2))))
(+.f64 (*.f64 -1/81 (pow.f64 beta 3)) (+.f64 1/3 (+.f64 (*.f64 -1/9 beta) (*.f64 1/27 (pow.f64 beta 2)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 9 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 9 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 2))) (*.f64 27 (/.f64 1 (pow.f64 beta 4)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 9 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 9 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 2))) (*.f64 27 (/.f64 1 (pow.f64 beta 4)))))
(+.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) beta) (*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) -2))
(+.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 beta beta)) (*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta -2))))
(+.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta -2))) (*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 beta beta)))
(+.f64 (*.f64 beta (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)))) (*.f64 -2 (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)))))
(+.f64 (*.f64 (*.f64 beta beta) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))) (*.f64 (+.f64 4 (*.f64 beta -2)) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))))
(+.f64 (*.f64 (+.f64 4 (*.f64 beta -2)) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))) (*.f64 (*.f64 beta beta) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta))))) 1)
(*.f64 1 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta))))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta))) 1)
(*.f64 (sqrt.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))) (sqrt.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))))
(*.f64 (pow.f64 (+.f64 beta 3) -1/2) (/.f64 (pow.f64 (+.f64 beta 3) -1/2) (+.f64 beta 2)))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))) (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))) 2))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))) 2) (cbrt.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (*.f64 (cbrt.f64 (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))))
(*.f64 (+.f64 beta -2) (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4))))
(*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (+.f64 beta 3)))
(*.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))))
(*.f64 (/.f64 -1 (+.f64 beta 3)) (/.f64 1 (-.f64 -2 beta)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))) (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 (/.f64 1 (+.f64 beta 3)) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (/.f64 1 (+.f64 beta 3)) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (sqrt.f64 (+.f64 beta 2))) (/.f64 1 (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (cbrt.f64 (+.f64 beta 2))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))
(*.f64 (/.f64 1 (fma.f64 beta beta -4)) (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta -2)))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 beta 3))) (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4))) (+.f64 beta -2))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(*.f64 (/.f64 1 (-.f64 -2 beta)) (/.f64 -1 (+.f64 beta 3)))
(*.f64 (/.f64 (pow.f64 (+.f64 beta 3) -1/2) (+.f64 beta 2)) (pow.f64 (+.f64 beta 3) -1/2))
(*.f64 (/.f64 (pow.f64 (+.f64 beta 3) -1/2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (pow.f64 (+.f64 beta 3) -1/2) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (+.f64 beta 3) -1/2) (cbrt.f64 (+.f64 beta 2))) (/.f64 (pow.f64 (+.f64 beta 3) -1/2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) 1) (/.f64 (cbrt.f64 (/.f64 1 (+.f64 beta 3))) (+.f64 beta 2)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 1 (+.f64 beta 3))) (+.f64 beta 2)) (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) 1))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (sqrt.f64 (+.f64 beta 2))) (/.f64 1 (*.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 (+.f64 beta 3)))))
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 (+.f64 beta 2)) (cbrt.f64 (+.f64 beta 3)))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (sqrt.f64 (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) -1/2))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (cbrt.f64 (/.f64 1 (+.f64 beta 3))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 beta beta -9)) (+.f64 beta -3))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 27 (pow.f64 beta 3))) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (+.f64 beta 2)) (cbrt.f64 (/.f64 1 (+.f64 beta 3))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (neg.f64 (fma.f64 beta beta -4))) (neg.f64 (+.f64 beta -2)))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (neg.f64 (+.f64 8 (pow.f64 beta 3)))) (neg.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (fma.f64 beta beta -9))) (+.f64 beta -3))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 27 (pow.f64 beta 3)))) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(*.f64 (/.f64 1 (/.f64 (+.f64 beta 2) (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)))) (cbrt.f64 (/.f64 1 (+.f64 beta 3))))
(*.f64 (/.f64 1 (*.f64 (fma.f64 beta beta -4) (fma.f64 beta beta -9))) (*.f64 (+.f64 beta -2) (+.f64 beta -3)))
(*.f64 (/.f64 1 (*.f64 (fma.f64 beta beta -4) (+.f64 27 (pow.f64 beta 3)))) (*.f64 (+.f64 beta -2) (+.f64 9 (*.f64 beta (+.f64 beta -3)))))
(*.f64 (/.f64 1 (*.f64 (fma.f64 beta beta -9) (+.f64 8 (pow.f64 beta 3)))) (*.f64 (+.f64 beta -3) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(*.f64 (/.f64 1 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 27 (pow.f64 beta 3)))) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (+.f64 9 (*.f64 beta (+.f64 beta -3)))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (-.f64 4 (*.f64 beta beta))) (-.f64 2 beta))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 -3 beta)) -1)
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (neg.f64 (fma.f64 beta beta -9))) (neg.f64 (+.f64 beta -3)))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (neg.f64 (+.f64 27 (pow.f64 beta 3)))) (neg.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3)))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 9 (*.f64 beta beta))) (-.f64 3 beta))
(*.f64 (/.f64 (/.f64 -1 (+.f64 beta 3)) (neg.f64 (fma.f64 beta beta -4))) (+.f64 beta -2))
(*.f64 (/.f64 (/.f64 -1 (+.f64 beta 3)) (neg.f64 (+.f64 8 (pow.f64 beta 3)))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) -1) (neg.f64 (fma.f64 beta beta -9))) (+.f64 beta -3))
(*.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 beta 2)) -1) (neg.f64 (+.f64 27 (pow.f64 beta 3)))) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(*.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 8 (pow.f64 beta 3)))) (sqrt.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(*.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (fma.f64 beta beta -4))) (sqrt.f64 (+.f64 beta -2)))
(*.f64 (/.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 3))) (cbrt.f64 (+.f64 8 (pow.f64 beta 3)))) (cbrt.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(*.f64 (/.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 3))) (cbrt.f64 (fma.f64 beta beta -4))) (cbrt.f64 (+.f64 beta -2)))
(pow.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta))) 1)
(pow.f64 (sqrt.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta))) 3) 1/3)
(pow.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -1)
(neg.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (-.f64 -2 beta))))
(neg.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (-.f64 -2 beta))) 1))
(neg.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (-.f64 -2 beta))))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 beta 3) -2) (pow.f64 (+.f64 beta 2) 2)))
(log.f64 (exp.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta))))))
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta))) 3))
(cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) (pow.f64 (+.f64 beta 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))))
(exp.f64 (neg.f64 (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))))
(+.f64 (*.f64 (/.f64 1 (fma.f64 beta beta -9)) beta) (*.f64 (/.f64 1 (fma.f64 beta beta -9)) -3))
(+.f64 (*.f64 (/.f64 1 (+.f64 27 (pow.f64 beta 3))) (*.f64 beta beta)) (*.f64 (/.f64 1 (+.f64 27 (pow.f64 beta 3))) (+.f64 9 (*.f64 beta -3))))
(+.f64 (*.f64 (/.f64 1 (+.f64 27 (pow.f64 beta 3))) (+.f64 9 (*.f64 beta -3))) (*.f64 (/.f64 1 (+.f64 27 (pow.f64 beta 3))) (*.f64 beta beta)))
(+.f64 (*.f64 beta (/.f64 1 (fma.f64 beta beta -9))) (*.f64 -3 (/.f64 1 (fma.f64 beta beta -9))))
(+.f64 (*.f64 (*.f64 beta beta) (/.f64 1 (+.f64 27 (pow.f64 beta 3)))) (*.f64 (+.f64 9 (*.f64 beta -3)) (/.f64 1 (+.f64 27 (pow.f64 beta 3)))))
(+.f64 (*.f64 (+.f64 9 (*.f64 beta -3)) (/.f64 1 (+.f64 27 (pow.f64 beta 3)))) (*.f64 (*.f64 beta beta) (/.f64 1 (+.f64 27 (pow.f64 beta 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta 3)))) 1)
(*.f64 1 (/.f64 1 (+.f64 beta 3)))
(*.f64 (/.f64 1 (+.f64 beta 3)) 1)
(*.f64 (pow.f64 (+.f64 beta 3) -1/2) (pow.f64 (+.f64 beta 3) -1/2))
(*.f64 (pow.f64 (+.f64 beta 3) -1/2) (neg.f64 (neg.f64 (pow.f64 (+.f64 beta 3) -1/2))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 beta 3))) (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (cbrt.f64 (/.f64 1 (+.f64 beta 3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 beta 3))))))
(*.f64 (+.f64 beta -3) (/.f64 1 (fma.f64 beta beta -9)))
(*.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3))) (/.f64 1 (+.f64 27 (pow.f64 beta 3))))
(*.f64 (/.f64 -1 (+.f64 beta 3)) -1)
(*.f64 -1 (/.f64 -1 (+.f64 beta 3)))
(*.f64 (sqrt.f64 (/.f64 -1 (+.f64 beta 3))) (neg.f64 (sqrt.f64 (/.f64 -1 (+.f64 beta 3)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 -1 (+.f64 beta 3))) (cbrt.f64 (/.f64 -1 (+.f64 beta 3)))) (neg.f64 (cbrt.f64 (/.f64 -1 (+.f64 beta 3)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (cbrt.f64 (/.f64 1 (+.f64 beta 3))))
(*.f64 (/.f64 1 (fma.f64 beta beta -9)) (+.f64 beta -3))
(*.f64 (/.f64 1 (+.f64 27 (pow.f64 beta 3))) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(*.f64 (neg.f64 (pow.f64 (+.f64 beta 3) -1/2)) (neg.f64 (pow.f64 (+.f64 beta 3) -1/2)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2))) (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 beta 3)))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 beta 3)) -1) (pow.f64 (sqrt.f64 (+.f64 beta 3)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 beta 3)) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) -1))
(*.f64 (/.f64 1 (neg.f64 (fma.f64 beta beta -9))) (neg.f64 (+.f64 beta -3)))
(*.f64 (/.f64 1 (neg.f64 (+.f64 27 (pow.f64 beta 3)))) (neg.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3)))))
(*.f64 (/.f64 1 (-.f64 9 (*.f64 beta beta))) (-.f64 3 beta))
(*.f64 (/.f64 (pow.f64 (+.f64 beta 3) -1/2) (sqrt.f64 (+.f64 27 (pow.f64 beta 3)))) (sqrt.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3)))))
(*.f64 (/.f64 (pow.f64 (+.f64 beta 3) -1/2) (sqrt.f64 (fma.f64 beta beta -9))) (sqrt.f64 (+.f64 beta -3)))
(*.f64 (/.f64 -1 (neg.f64 (fma.f64 beta beta -9))) (+.f64 beta -3))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 27 (pow.f64 beta 3)))) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (cbrt.f64 (+.f64 27 (pow.f64 beta 3)))) (cbrt.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (cbrt.f64 (fma.f64 beta beta -9))) (cbrt.f64 (+.f64 beta -3)))
(*.f64 (/.f64 (+.f64 beta -3) (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) 81)) (+.f64 9 (*.f64 beta beta)))
(*.f64 (/.f64 (+.f64 beta -3) (-.f64 (pow.f64 (*.f64 beta beta) 3) 729)) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (+.f64 81 (*.f64 9 (*.f64 beta beta)))))
(*.f64 (/.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3))) (-.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) 729)) (-.f64 (pow.f64 beta 3) 27))
(*.f64 (/.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3))) (+.f64 19683 (pow.f64 (pow.f64 beta 3) 3))) (+.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (-.f64 729 (*.f64 27 (pow.f64 beta 3)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (+.f64 beta 3)))) (sqrt.f64 (/.f64 -1 (+.f64 beta 3))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (+.f64 beta 3))) (cbrt.f64 (/.f64 -1 (+.f64 beta 3))))) (cbrt.f64 (/.f64 -1 (+.f64 beta 3))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 beta 3) -1/2))) (pow.f64 (+.f64 beta 3) -1/2))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)))) (cbrt.f64 (/.f64 1 (+.f64 beta 3))))
(pow.f64 (+.f64 beta 3) -1)
(pow.f64 (/.f64 1 (+.f64 beta 3)) 1)
(pow.f64 (pow.f64 (+.f64 beta 3) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 beta 3))) 3)
(pow.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) 1/3)
(neg.f64 (/.f64 -1 (+.f64 beta 3)))
(sqrt.f64 (pow.f64 (+.f64 beta 3) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 beta 3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta 3)))))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta 3))))
(exp.f64 (neg.f64 (log.f64 (+.f64 beta 3))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta 3))))
Outputs
1/6
(+.f64 (*.f64 -5/36 beta) 1/6)
(fma.f64 -5/36 beta 1/6)
(+.f64 (*.f64 -5/36 beta) (+.f64 1/6 (*.f64 19/216 (pow.f64 beta 2))))
(+.f64 (fma.f64 -5/36 beta 1/6) (*.f64 19/216 (*.f64 beta beta)))
(fma.f64 -5/36 beta (fma.f64 19/216 (*.f64 beta beta) 1/6))
(+.f64 (*.f64 -5/36 beta) (+.f64 1/6 (+.f64 (*.f64 -65/1296 (pow.f64 beta 3)) (*.f64 19/216 (pow.f64 beta 2)))))
(+.f64 (fma.f64 -5/36 beta 1/6) (fma.f64 -65/1296 (pow.f64 beta 3) (*.f64 19/216 (*.f64 beta beta))))
(+.f64 (fma.f64 -5/36 beta 1/6) (fma.f64 -65/1296 (pow.f64 beta 3) (*.f64 beta (*.f64 beta 19/216))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(-.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 5 (pow.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 -5 (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 19 (/.f64 1 (pow.f64 beta 4)))) (*.f64 5 (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 19 (pow.f64 beta 4)) (/.f64 5 (pow.f64 beta 3))))
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1/3
(+.f64 1/3 (*.f64 -1/9 beta))
(+.f64 1/3 (*.f64 beta -1/9))
(fma.f64 beta -1/9 1/3)
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(*.f64 (+.f64 beta -2) (/.f64 1 (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4))))
(/.f64 (*.f64 (+.f64 beta -2) 1) (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)))
(/.f64 (+.f64 beta -2) (*.f64 (+.f64 beta 3) (fma.f64 beta beta -4)))
(*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (+.f64 beta 3)))
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(*.f64 (+.f64 beta -3) (/.f64 1 (fma.f64 beta beta -9)))
(/.f64 (+.f64 beta -3) (fma.f64 beta beta -9))
(*.f64 (/.f64 1 (+.f64 27 (pow.f64 beta 3))) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) 27)) (+.f64 (*.f64 beta beta) (+.f64 9 (*.f64 beta -3))))
(/.f64 (fma.f64 beta (+.f64 beta -3) 9) (+.f64 (pow.f64 beta 3) 27))
(*.f64 (neg.f64 (pow.f64 (+.f64 beta 3) -1/2)) (neg.f64 (pow.f64 (+.f64 beta 3) -1/2)))
(/.f64 1 (+.f64 beta 3))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2))) (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 beta 3)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (cbrt.f64 (/.f64 1 (+.f64 beta 3))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 beta 3)) -1) (pow.f64 (sqrt.f64 (+.f64 beta 3)) -1))
(pow.f64 (sqrt.f64 (+.f64 beta 3)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 beta 3)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (/.f64 1 (cbrt.f64 (+.f64 beta 3))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 beta 3))) 1) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (/.f64 1 (cbrt.f64 (+.f64 beta 3))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 beta 3))) 1) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2))
(*.f64 (/.f64 1 (neg.f64 (fma.f64 beta beta -9))) (neg.f64 (+.f64 beta -3)))
(*.f64 (+.f64 beta -3) (/.f64 1 (fma.f64 beta beta -9)))
(/.f64 (+.f64 beta -3) (fma.f64 beta beta -9))
(*.f64 (/.f64 1 (neg.f64 (+.f64 27 (pow.f64 beta 3)))) (neg.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) 27)) (+.f64 (*.f64 beta beta) (+.f64 9 (*.f64 beta -3))))
(/.f64 (fma.f64 beta (+.f64 beta -3) 9) (+.f64 (pow.f64 beta 3) 27))
(*.f64 (/.f64 1 (-.f64 9 (*.f64 beta beta))) (-.f64 3 beta))
(*.f64 (+.f64 beta -3) (/.f64 1 (fma.f64 beta beta -9)))
(/.f64 (+.f64 beta -3) (fma.f64 beta beta -9))
(*.f64 (/.f64 (pow.f64 (+.f64 beta 3) -1/2) (sqrt.f64 (+.f64 27 (pow.f64 beta 3)))) (sqrt.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3)))))
(*.f64 (/.f64 (pow.f64 (+.f64 beta 3) -1/2) (sqrt.f64 (+.f64 (pow.f64 beta 3) 27))) (sqrt.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3)))))
(*.f64 (/.f64 (pow.f64 (+.f64 beta 3) -1/2) (sqrt.f64 (+.f64 (pow.f64 beta 3) 27))) (sqrt.f64 (fma.f64 beta (+.f64 beta -3) 9)))
(*.f64 (/.f64 (pow.f64 (+.f64 beta 3) -1/2) (sqrt.f64 (fma.f64 beta beta -9))) (sqrt.f64 (+.f64 beta -3)))
(*.f64 (/.f64 -1 (neg.f64 (fma.f64 beta beta -9))) (+.f64 beta -3))
(*.f64 (+.f64 beta -3) (/.f64 1 (fma.f64 beta beta -9)))
(/.f64 (+.f64 beta -3) (fma.f64 beta beta -9))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 27 (pow.f64 beta 3)))) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) 27)) (+.f64 (*.f64 beta beta) (+.f64 9 (*.f64 beta -3))))
(/.f64 (fma.f64 beta (+.f64 beta -3) 9) (+.f64 (pow.f64 beta 3) 27))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (cbrt.f64 (+.f64 27 (pow.f64 beta 3)))) (cbrt.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3)))))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 (pow.f64 beta 3) 27)) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2))) (cbrt.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3)))))
(*.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) (cbrt.f64 (+.f64 (pow.f64 beta 3) 27)))) (cbrt.f64 (fma.f64 beta (+.f64 beta -3) 9)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (cbrt.f64 (fma.f64 beta beta -9))) (cbrt.f64 (+.f64 beta -3)))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 beta beta -9))) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (cbrt.f64 (+.f64 beta -3)))
(*.f64 (/.f64 (+.f64 beta -3) (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) 81)) (+.f64 9 (*.f64 beta beta)))
(*.f64 (/.f64 (+.f64 beta -3) (+.f64 (pow.f64 beta 4) -81)) (+.f64 9 (*.f64 beta beta)))
(*.f64 (/.f64 (+.f64 beta -3) (+.f64 (pow.f64 beta 4) -81)) (fma.f64 beta beta 9))
(*.f64 (/.f64 (+.f64 beta -3) (-.f64 (pow.f64 (*.f64 beta beta) 3) 729)) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (+.f64 81 (*.f64 9 (*.f64 beta beta)))))
(*.f64 (/.f64 (+.f64 beta -3) (+.f64 (pow.f64 beta 6) -729)) (+.f64 (pow.f64 beta 4) (+.f64 81 (*.f64 9 (*.f64 beta beta)))))
(*.f64 (/.f64 (+.f64 beta -3) (+.f64 (pow.f64 beta 6) -729)) (+.f64 (pow.f64 beta 4) (fma.f64 9 (*.f64 beta beta) 81)))
(*.f64 (/.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3))) (-.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) 729)) (-.f64 (pow.f64 beta 3) 27))
(*.f64 (/.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3))) (+.f64 (pow.f64 beta 6) -729)) (+.f64 (pow.f64 beta 3) -27))
(*.f64 (/.f64 (fma.f64 beta (+.f64 beta -3) 9) (+.f64 (pow.f64 beta 6) -729)) (+.f64 (pow.f64 beta 3) -27))
(*.f64 (/.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3))) (+.f64 19683 (pow.f64 (pow.f64 beta 3) 3))) (+.f64 (*.f64 (pow.f64 beta 3) (pow.f64 beta 3)) (-.f64 729 (*.f64 27 (pow.f64 beta 3)))))
(*.f64 (/.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3))) (+.f64 19683 (pow.f64 (pow.f64 beta 3) 3))) (-.f64 (+.f64 (pow.f64 beta 6) 729) (*.f64 (pow.f64 beta 3) 27)))
(*.f64 (/.f64 (fma.f64 beta (+.f64 beta -3) 9) (+.f64 19683 (pow.f64 (pow.f64 beta 3) 3))) (+.f64 729 (+.f64 (*.f64 (pow.f64 beta 3) -27) (pow.f64 beta 6))))
(/.f64 (*.f64 (fma.f64 beta (+.f64 beta -3) 9) (+.f64 729 (-.f64 (pow.f64 beta 6) (*.f64 (pow.f64 beta 3) 27)))) (+.f64 19683 (pow.f64 (pow.f64 beta 3) 3)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (+.f64 beta 3)))) (sqrt.f64 (/.f64 -1 (+.f64 beta 3))))
(/.f64 1 (+.f64 beta 3))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (+.f64 beta 3))) (cbrt.f64 (/.f64 -1 (+.f64 beta 3))))) (cbrt.f64 (/.f64 -1 (+.f64 beta 3))))
(/.f64 1 (+.f64 beta 3))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 beta 3) -1/2))) (pow.f64 (+.f64 beta 3) -1/2))
(/.f64 1 (+.f64 beta 3))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)))) (cbrt.f64 (/.f64 1 (+.f64 beta 3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (cbrt.f64 (/.f64 1 (+.f64 beta 3))))
(pow.f64 (+.f64 beta 3) -1)
(/.f64 1 (+.f64 beta 3))
(pow.f64 (/.f64 1 (+.f64 beta 3)) 1)
(/.f64 1 (+.f64 beta 3))
(pow.f64 (pow.f64 (+.f64 beta 3) -1/2) 2)
(/.f64 1 (+.f64 beta 3))
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 beta 3))) 3)
(/.f64 1 (+.f64 beta 3))
(pow.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))
(neg.f64 (/.f64 -1 (+.f64 beta 3)))
(/.f64 1 (+.f64 beta 3))
(sqrt.f64 (pow.f64 (+.f64 beta 3) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 beta 3))))
(/.f64 1 (+.f64 beta 3))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta 3)))))
(/.f64 1 (+.f64 beta 3))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta 3))))
(/.f64 1 (+.f64 beta 3))
(exp.f64 (neg.f64 (log.f64 (+.f64 beta 3))))
(/.f64 1 (+.f64 beta 3))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta 3))))
(/.f64 1 (+.f64 beta 3))

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 38 to 25 computations (34.2% saved)

series8.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
5.0ms
beta
@0
(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms
alpha
@0
(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms
alpha
@inf
(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms
beta
@inf
(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
0.0ms
alpha
@-inf
(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

rewrite88.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1524×distribute-rgt-in
1490×distribute-lft-in
966×associate-/r*
602×associate-/r/
412×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
123725
2338025
Stop Event
node limit
Counts
1 → 63
Calls
Call 1
Inputs
(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (*.f64 (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2))) (fma.f64 (neg.f64 (+.f64 beta 2)) 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (*.f64 (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (*.f64 (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2))) alpha) (*.f64 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simplify150.0ms (0.7%)

Algorithm
egg-herbie
Rules
1370×associate-+r+
1244×associate-+l+
1050×+-commutative
668×fma-def
662×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03776559
112566181
257856169
Stop Event
node limit
Counts
87 → 169
Calls
Call 1
Inputs
(/.f64 1/3 (pow.f64 (+.f64 beta 2) 2))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) alpha) (pow.f64 (+.f64 beta 2) 4))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) alpha) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 (+.f64 beta 2) 6))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) alpha) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 6))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 (+.f64 beta 2) 6))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 (+.f64 beta 2) 6))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(/.f64 1/3 (pow.f64 alpha 2))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))) (*.f64 -1/3 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1/3 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (pow.f64 alpha 4))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))) (*.f64 -1/3 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1/3 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (+.f64 4 (*.f64 2 beta)))) (*.f64 -1/3 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1/3 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (pow.f64 alpha 4))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))) (*.f64 -1/3 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 3))))))
(/.f64 1/3 (pow.f64 alpha 2))
(+.f64 (*.f64 -2/3 (/.f64 (+.f64 beta 2) (pow.f64 alpha 3))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (*.f64 -2/3 (/.f64 (+.f64 beta 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -4/3 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 4))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (*.f64 -2/3 (/.f64 (+.f64 beta 2) (pow.f64 alpha 3))) (+.f64 (*.f64 2/3 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -4/3 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 4))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 (*.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -4/3 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 5))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2)))))))
(/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1/3 (/.f64 (*.f64 beta (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 2 alpha) 6))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1/3 (/.f64 (*.f64 beta (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 2 alpha) 6))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 6))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 2 alpha) 6))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 -1/3 (/.f64 (*.f64 beta (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))))))
(/.f64 1/3 (pow.f64 beta 2))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 beta 2))) (*.f64 -1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 beta 3))))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 beta 2))) (+.f64 (*.f64 -1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/3 (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (pow.f64 beta 4)))))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 beta 2))) (+.f64 (*.f64 -1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/3 (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/3 (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2))) (+.f64 4 (*.f64 2 alpha)))) (*.f64 -1/3 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 4 (*.f64 2 alpha))))) (pow.f64 beta 5))))))
(/.f64 1/3 (pow.f64 beta 2))
(+.f64 (*.f64 -2/3 (/.f64 (+.f64 2 alpha) (pow.f64 beta 3))) (*.f64 1/3 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (*.f64 -2/3 (/.f64 (+.f64 2 alpha) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -4/3 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4))) (*.f64 1/3 (/.f64 1 (pow.f64 beta 2)))))
(+.f64 (*.f64 -2/3 (/.f64 (+.f64 2 alpha) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -4/3 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -4/3 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha)) (pow.f64 beta 5))) (*.f64 2/3 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 5)))))))
(+.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (*.f64 (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2))) (fma.f64 (neg.f64 (+.f64 beta 2)) 1 (+.f64 beta 2))))
(+.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (*.f64 (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2))))
(+.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (*.f64 (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2))))
(+.f64 (*.f64 (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2))) alpha) (*.f64 (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2))) (+.f64 -2 (*.f64 -1 beta))))
(+.f64 (*.f64 (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2))) alpha) (*.f64 (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)))))
(+.f64 (*.f64 (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2))) alpha) (*.f64 (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (+.f64 beta 2)))))
(+.f64 (*.f64 (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2))) alpha) (*.f64 (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2))) (neg.f64 (+.f64 beta 2))))
(+.f64 (*.f64 (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 alpha alpha)) (*.f64 (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(+.f64 (*.f64 (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (*.f64 (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 alpha alpha)))
(+.f64 (*.f64 alpha (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2)))) (*.f64 (+.f64 -2 (*.f64 -1 beta)) (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2)))))
(+.f64 (*.f64 alpha (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2)))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2))) (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2)))))
(+.f64 (*.f64 alpha (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2)))) (*.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (+.f64 beta 2))) (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2)))))
(+.f64 (*.f64 alpha (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2)))) (*.f64 (neg.f64 (+.f64 beta 2)) (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2)))))
(+.f64 (*.f64 (-.f64 alpha (+.f64 beta 2)) (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2)))) (*.f64 (fma.f64 (neg.f64 (+.f64 beta 2)) 1 (+.f64 beta 2)) (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2)))))
(+.f64 (*.f64 (-.f64 alpha (+.f64 beta 2)) (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2)))) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)) (+.f64 beta 2)) (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2)))))
(+.f64 (*.f64 (-.f64 alpha (+.f64 beta 2)) (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2)))) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) (+.f64 beta 2)) (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2)))))
(+.f64 (*.f64 (*.f64 alpha alpha) (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (*.f64 (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)) (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
(+.f64 (*.f64 (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)) (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (*.f64 (*.f64 alpha alpha) (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))) 1)
(*.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))
(*.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 1)
(*.f64 1 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))
(*.f64 (/.f64 (sqrt.f64 1/3) (+.f64 alpha (+.f64 beta 2))) (/.f64 (sqrt.f64 1/3) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (cbrt.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (cbrt.f64 (/.f64 1/9 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 4))))
(*.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 4))) (cbrt.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(*.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2) 1/3)
(*.f64 -1/3 (/.f64 -1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 4))) (/.f64 1/3 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(*.f64 (/.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 alpha (+.f64 beta 2))) (-.f64 alpha (+.f64 beta 2)))
(*.f64 (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(*.f64 (/.f64 -1 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) -1/3)
(*.f64 (/.f64 1/3 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(*.f64 (/.f64 1/3 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (-.f64 alpha (+.f64 beta 2)) (-.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (-.f64 alpha (+.f64 beta 2)))
(*.f64 (/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(*.f64 (/.f64 1/3 (-.f64 (*.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2)))))) (-.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1/3 (+.f64 (pow.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2))) 3))) (+.f64 (*.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (-.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2)))) (*.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 2)))))))
(*.f64 (/.f64 1/3 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (*.f64 (-.f64 alpha (+.f64 beta 2)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(*.f64 (/.f64 1/3 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (-.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (-.f64 (+.f64 beta 2) alpha))
(*.f64 (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (-.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 4)) (+.f64 alpha (+.f64 beta -2)))
(*.f64 (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (-.f64 4 (*.f64 (+.f64 alpha beta) 2))))
(*.f64 (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (neg.f64 (-.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(*.f64 (/.f64 (/.f64 1/3 (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(*.f64 (/.f64 (/.f64 1/3 (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (sqrt.f64 (-.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 1/3 (*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(*.f64 (/.f64 (/.f64 1/3 (*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (cbrt.f64 (-.f64 alpha (+.f64 beta 2))))
(pow.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 1)
(pow.f64 (/.f64 (sqrt.f64 1/3) (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 3)
(pow.f64 (pow.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) 3) -1)
(sqrt.f64 (/.f64 1/9 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 4)))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(cbrt.f64 (pow.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(exp.f64 (log.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
Outputs
(/.f64 1/3 (pow.f64 (+.f64 beta 2) 2))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) alpha) (pow.f64 (+.f64 beta 2) 4))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(fma.f64 -1/3 (/.f64 (*.f64 (+.f64 4 (*.f64 beta 2)) alpha) (pow.f64 (+.f64 beta 2) 4)) (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)))
(fma.f64 -1/3 (*.f64 (/.f64 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 4)) alpha) (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) alpha) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 (+.f64 beta 2) 6))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(fma.f64 -1/3 (/.f64 (*.f64 (+.f64 4 (*.f64 beta 2)) alpha) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 -1 (*.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (+.f64 4 (*.f64 beta 2)) 2) (pow.f64 (+.f64 beta 2) 6)) (/.f64 1/3 (pow.f64 (+.f64 beta 2) 4))) (*.f64 alpha alpha)) (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2))))
(fma.f64 -1/3 (*.f64 (/.f64 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 4)) alpha) (-.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (*.f64 alpha (*.f64 alpha (fma.f64 -1/3 (/.f64 (pow.f64 (fma.f64 beta 2 4) 2) (pow.f64 (+.f64 beta 2) 6)) (/.f64 1/3 (pow.f64 (+.f64 beta 2) 4)))))))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) alpha) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 6))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 (+.f64 beta 2) 6))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2) (pow.f64 (+.f64 beta 2) 6))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(fma.f64 -1/3 (/.f64 (*.f64 (+.f64 4 (*.f64 beta 2)) alpha) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 -1 (*.f64 (fma.f64 -1/3 (/.f64 (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 6)) (neg.f64 (/.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (+.f64 4 (*.f64 beta 2)) 2) (pow.f64 (+.f64 beta 2) 6)) (/.f64 1/3 (pow.f64 (+.f64 beta 2) 4))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 4 (*.f64 beta 2)))))) (pow.f64 alpha 3)) (fma.f64 -1 (*.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (+.f64 4 (*.f64 beta 2)) 2) (pow.f64 (+.f64 beta 2) 6)) (/.f64 1/3 (pow.f64 (+.f64 beta 2) 4))) (*.f64 alpha alpha)) (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)))))
(fma.f64 -1/3 (*.f64 (/.f64 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 4)) alpha) (-.f64 (-.f64 (/.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (*.f64 alpha (*.f64 alpha (fma.f64 -1/3 (/.f64 (pow.f64 (fma.f64 beta 2 4) 2) (pow.f64 (+.f64 beta 2) 6)) (/.f64 1/3 (pow.f64 (+.f64 beta 2) 4)))))) (*.f64 (-.f64 (*.f64 -1/3 (/.f64 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 6))) (*.f64 (/.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (fma.f64 beta 2 4) 2) (pow.f64 (+.f64 beta 2) 6)) (/.f64 1/3 (pow.f64 (+.f64 beta 2) 4))) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 beta 2 4))) (pow.f64 alpha 3))))
(/.f64 1/3 (pow.f64 alpha 2))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 (/.f64 1/3 alpha) alpha)
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))) (*.f64 -1/3 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 3))))
(+.f64 (/.f64 1/3 (*.f64 alpha alpha)) (*.f64 -1/3 (/.f64 (+.f64 4 (*.f64 beta 2)) (pow.f64 alpha 3))))
(fma.f64 -1/3 (/.f64 (fma.f64 beta 2 4) (pow.f64 alpha 3)) (/.f64 (/.f64 1/3 alpha) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1/3 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (pow.f64 alpha 4))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))) (*.f64 -1/3 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 3)))))
(fma.f64 -1 (/.f64 (fma.f64 1/3 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1/3 (pow.f64 (+.f64 4 (*.f64 beta 2)) 2))) (pow.f64 alpha 4)) (+.f64 (/.f64 1/3 (*.f64 alpha alpha)) (*.f64 -1/3 (/.f64 (+.f64 4 (*.f64 beta 2)) (pow.f64 alpha 3)))))
(-.f64 (fma.f64 -1/3 (/.f64 (fma.f64 beta 2 4) (pow.f64 alpha 3)) (/.f64 (/.f64 1/3 alpha) alpha)) (/.f64 (fma.f64 1/3 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1/3 (pow.f64 (fma.f64 beta 2 4) 2))) (pow.f64 alpha 4)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1/3 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (+.f64 4 (*.f64 2 beta)))) (*.f64 -1/3 (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1/3 (pow.f64 (+.f64 4 (*.f64 2 beta)) 2))) (pow.f64 alpha 4))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))) (*.f64 -1/3 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 3))))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (+.f64 4 (*.f64 beta 2)) (fma.f64 1/3 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1/3 (pow.f64 (+.f64 4 (*.f64 beta 2)) 2)))) (*.f64 (*.f64 -1/3 (+.f64 4 (*.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 5)) (fma.f64 -1 (/.f64 (fma.f64 1/3 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1/3 (pow.f64 (+.f64 4 (*.f64 beta 2)) 2))) (pow.f64 alpha 4)) (+.f64 (/.f64 1/3 (*.f64 alpha alpha)) (*.f64 -1/3 (/.f64 (+.f64 4 (*.f64 beta 2)) (pow.f64 alpha 3))))))
(-.f64 (-.f64 (fma.f64 -1/3 (/.f64 (fma.f64 beta 2 4) (pow.f64 alpha 3)) (/.f64 (/.f64 1/3 alpha) alpha)) (/.f64 (fma.f64 1/3 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1/3 (pow.f64 (fma.f64 beta 2 4) 2))) (pow.f64 alpha 4))) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1/3 (fma.f64 beta 2 4))) (*.f64 (fma.f64 beta 2 4) (fma.f64 1/3 (pow.f64 (+.f64 beta 2) 2) (*.f64 -1/3 (pow.f64 (fma.f64 beta 2 4) 2))))) (pow.f64 alpha 5)))
(/.f64 1/3 (pow.f64 alpha 2))
(/.f64 1/3 (*.f64 alpha alpha))
(/.f64 (/.f64 1/3 alpha) alpha)
(+.f64 (*.f64 -2/3 (/.f64 (+.f64 beta 2) (pow.f64 alpha 3))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))))
(fma.f64 -2/3 (/.f64 (+.f64 beta 2) (pow.f64 alpha 3)) (/.f64 1/3 (*.f64 alpha alpha)))
(fma.f64 -2/3 (/.f64 (+.f64 beta 2) (pow.f64 alpha 3)) (/.f64 (/.f64 1/3 alpha) alpha))
(+.f64 (*.f64 -2/3 (/.f64 (+.f64 beta 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -4/3 (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 4))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2)))))
(fma.f64 -2/3 (/.f64 (+.f64 beta 2) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) -1) (pow.f64 alpha 4)) (/.f64 1/3 (*.f64 alpha alpha))))
(fma.f64 -2/3 (/.f64 (+.f64 beta 2) (pow.f64 alpha 3)) (-.f64 (/.f64 (/.f64 1/3 alpha) alpha) (/.f64 (neg.f64 (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))))
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(*.f64 (+.f64 beta (-.f64 2 alpha)) (/.f64 1/3 (*.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha)) (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (*.f64 (+.f64 beta (-.f64 2 alpha)) 1/3) (neg.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 alpha (-.f64 -2 beta)))))
(*.f64 (/.f64 (/.f64 1/3 (+.f64 alpha (+.f64 beta 2))) (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(*.f64 (/.f64 1/3 (*.f64 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (+.f64 beta 2) alpha))) (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(*.f64 (/.f64 1/3 (*.f64 (+.f64 beta (+.f64 2 alpha)) (-.f64 (neg.f64 (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 2) 3)))) (neg.f64 (fma.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)) (*.f64 alpha alpha))))
(*.f64 (/.f64 (/.f64 1/3 (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(*.f64 (/.f64 1/3 (*.f64 (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (+.f64 (+.f64 beta 2) alpha) (sqrt.f64 (+.f64 (+.f64 beta 2) alpha))))) (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(*.f64 (/.f64 (/.f64 (/.f64 1/3 (+.f64 beta (+.f64 2 alpha))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (hypot.f64 (pow.f64 alpha 3/2) (pow.f64 (+.f64 beta 2) 3/2))) (sqrt.f64 (fma.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)) (*.f64 alpha alpha))))
(*.f64 (/.f64 (/.f64 1/3 (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (sqrt.f64 (-.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 1/3 (*.f64 (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 (+.f64 beta 2) alpha) (sqrt.f64 (+.f64 (+.f64 beta 2) alpha))))) (sqrt.f64 (-.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (/.f64 1/3 (+.f64 beta (+.f64 2 alpha))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (sqrt.f64 (+.f64 alpha (-.f64 -2 beta))))
(*.f64 (/.f64 (/.f64 1/3 (*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(*.f64 (/.f64 1/3 (*.f64 (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (+.f64 (+.f64 beta 2) alpha) (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(*.f64 (/.f64 1/3 (*.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))) (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))) (cbrt.f64 (fma.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)) (*.f64 alpha alpha))))
(*.f64 (/.f64 (/.f64 1/3 (*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (cbrt.f64 (-.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 1/3 (*.f64 (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 (+.f64 beta 2) alpha) (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))))) (cbrt.f64 (-.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 1/3 (*.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta (+.f64 2 alpha))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) (cbrt.f64 (+.f64 alpha (-.f64 -2 beta))))
(pow.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 1)
(/.f64 1/3 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(*.f64 1/3 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))
(pow.f64 (/.f64 (sqrt.f64 1/3) (+.f64 alpha (+.f64 beta 2))) 2)
(pow.f64 (/.f64 (sqrt.f64 1/3) (+.f64 (+.f64 beta 2) alpha)) 2)
(pow.f64 (/.f64 (sqrt.f64 1/3) (+.f64 beta (+.f64 2 alpha))) 2)
(pow.f64 (cbrt.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 3)
(/.f64 1/3 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(*.f64 1/3 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))
(pow.f64 (pow.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 3) 1/3)
(/.f64 1/3 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(*.f64 1/3 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))
(pow.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2) 3) -1)
(/.f64 1/3 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(*.f64 1/3 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))
(sqrt.f64 (/.f64 1/9 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 4)))
(sqrt.f64 (/.f64 1/9 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 4)))
(sqrt.f64 (/.f64 1/9 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 4)))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))
(/.f64 1/3 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(*.f64 1/3 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(/.f64 1/3 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(*.f64 1/3 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))
(cbrt.f64 (pow.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 3))
(/.f64 1/3 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(*.f64 1/3 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))
(expm1.f64 (log1p.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(/.f64 1/3 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(*.f64 1/3 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))
(exp.f64 (log.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(/.f64 1/3 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(*.f64 1/3 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) 1))
(/.f64 1/3 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(*.f64 1/3 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))
(log1p.f64 (expm1.f64 (/.f64 1/3 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(/.f64 1/3 (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2))
(*.f64 1/3 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 69 to 49 computations (29% saved)

series5.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite126.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
884×distribute-lft-neg-in
424×add-sqr-sqrt
410×pow1
410×*-un-lft-identity
398×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01762
141162
2619362
Stop Event
node limit
Counts
2 → 78
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 beta 2)))
(/.f64 1 (+.f64 beta 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)) (+.f64 beta 3)) (-.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (-.f64 -2 beta) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)) (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (*.f64 (-.f64 -3 beta) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 beta) (*.f64 (*.f64 (-.f64 -3 beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (/.f64 (+.f64 beta 2) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 -1 (-.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (-.f64 -2 beta) (-.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 beta 2) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (+.f64 beta 2) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)) (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 2)) (/.f64 (+.f64 beta 1) (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)) (+.f64 beta 3)) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (-.f64 -2 beta)) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)) (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 beta 2) (sqrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))) 2) (/.f64 (+.f64 beta 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)) (*.f64 (-.f64 -2 beta) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 beta 1) (*.f64 (-.f64 -2 beta) (*.f64 (-.f64 -3 beta) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) -1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))) -1) (-.f64 -2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 (-.f64 -2 beta)) (-.f64 -1 beta)) (*.f64 (-.f64 -3 beta) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 (-.f64 -2 beta)) (/.f64 (-.f64 -1 beta) (+.f64 beta 3))) (-.f64 (-.f64 -2 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 beta) (/.f64 -1 (-.f64 -2 beta))) (*.f64 (-.f64 -3 beta) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))) 1) (+.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 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3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 -1 (-.f64 -2 beta)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (-.f64 -2 beta)) 3) (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 beta 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 -2 beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (-.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (-.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 -2 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta 2) -1/2) (pow.f64 (+.f64 beta 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (-.f64 -2 beta))) (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)) (/.f64 -1 (cbrt.f64 (-.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 beta beta -4)) (+.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 beta 2)) -1) (pow.f64 (sqrt.f64 (+.f64 beta 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 beta 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 beta 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (-.f64 -2 beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 beta 2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -2 beta))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (-.f64 -2 beta)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 beta 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (-.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (-.f64 -2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 -2 beta)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 -2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 beta 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (-.f64 -2 beta))))))))

simplify110.0ms (0.5%)

Algorithm
egg-herbie
Rules
1478×associate-+l+
1454×associate-+r+
590×distribute-lft-in
538×distribute-rgt-in
430×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03837514
112057316
252807210
Stop Event
node limit
Counts
114 → 200
Calls
Call 1
Inputs
(/.f64 1/6 (+.f64 2 alpha))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 beta (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 7 alpha)) (+.f64 2 alpha))) (+.f64 (*.f64 1/36 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 beta (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (pow.f64 beta 4)))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 6 (+.f64 2 alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (+.f64 7 alpha))))) (pow.f64 beta 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (pow.f64 beta 4))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 4 (*.f64 -1 (+.f64 2 alpha))) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -3 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) (+.f64 (*.f64 2 (+.f64 2 alpha)) (*.f64 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 5) (-.f64 4 (*.f64 -1 (+.f64 2 alpha)))))) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (-.f64 4 (*.f64 -1 (+.f64 2 alpha))) (pow.f64 beta 3)))))
(+.f64 (/.f64 (*.f64 (-.f64 4 (*.f64 -1 (+.f64 2 alpha))) (+.f64 (*.f64 -3 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) (*.f64 2 (+.f64 2 alpha)))) (pow.f64 beta 5)) (+.f64 (*.f64 -6 (/.f64 (+.f64 2 alpha) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -3 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) (+.f64 (*.f64 2 (+.f64 2 alpha)) (*.f64 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 5) (-.f64 4 (*.f64 -1 (+.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 5) (+.f64 (*.f64 -3 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) (+.f64 (*.f64 2 (+.f64 2 alpha)) (*.f64 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 5) (-.f64 4 (*.f64 -1 (+.f64 2 alpha))))))) (pow.f64 beta 5))) (*.f64 -1 (/.f64 (-.f64 4 (*.f64 -1 (+.f64 2 alpha))) (pow.f64 beta 3))))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))))
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5)))) (pow.f64 alpha 3))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3))))))
1/2
(+.f64 (*.f64 -1/4 beta) 1/2)
(+.f64 (*.f64 -1/4 beta) (+.f64 1/2 (*.f64 1/8 (pow.f64 beta 2))))
(+.f64 (*.f64 -1/4 beta) (+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 beta 2)) (*.f64 -1/16 (pow.f64 beta 3)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 4))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))) (*.f64 2 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 beta 4))) (*.f64 2 (/.f64 1 (pow.f64 beta 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))) 1)
(/.f64 -1 (*.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)) (+.f64 beta 3)) (-.f64 -2 beta)))
(/.f64 -1 (*.f64 (-.f64 -2 beta) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)) (+.f64 beta 3))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (*.f64 (-.f64 -3 beta) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (-.f64 -3 beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (/.f64 (+.f64 beta 2) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 -1 (-.f64 -2 beta))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 2)) 1))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (-.f64 -2 beta) (-.f64 (-.f64 -2 beta) alpha)))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))) (+.f64 beta 2))
(/.f64 1 (/.f64 (+.f64 beta 2) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)) (+.f64 beta 3))))
(/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(/.f64 1 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 2)) (/.f64 (+.f64 beta 1) (+.f64 beta 3))))
(/.f64 1 (*.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)) (+.f64 beta 3)) (+.f64 beta 2)))
(/.f64 (/.f64 -1 (-.f64 -2 beta)) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)) (+.f64 beta 3)))
(/.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 beta 2) (sqrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))) 2) (/.f64 (+.f64 beta 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 beta) alpha)))
(/.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)) (*.f64 (-.f64 -2 beta) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (*.f64 (-.f64 -2 beta) (*.f64 (-.f64 -3 beta) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) -1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -2 beta)))
(/.f64 (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))) -1) (-.f64 -2 beta))
(/.f64 (*.f64 (/.f64 -1 (-.f64 -2 beta)) (-.f64 -1 beta)) (*.f64 (-.f64 -3 beta) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (/.f64 -1 (-.f64 -2 beta)) (/.f64 (-.f64 -1 beta) (+.f64 beta 3))) (-.f64 (-.f64 -2 beta) alpha))
(/.f64 (*.f64 (-.f64 -1 beta) (/.f64 -1 (-.f64 -2 beta))) (*.f64 (-.f64 -3 beta) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))) 1) (+.f64 beta 2))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)))
(/.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (+.f64 beta 2)))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 1) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (-.f64 -1 beta) -1) (*.f64 (*.f64 (-.f64 -3 beta) (+.f64 alpha (+.f64 beta 2))) (-.f64 -2 beta)))
(/.f64 (*.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)) -1) (*.f64 (-.f64 (-.f64 -2 beta) alpha) (-.f64 -2 beta)))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))) (-.f64 -2 beta))
(/.f64 (neg.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (-.f64 (-.f64 -2 beta) alpha))
(pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 -1 (-.f64 -2 beta)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (-.f64 -2 beta)) 3) (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 beta 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 -2 beta)))) 1)
(*.f64 -1 (/.f64 1 (-.f64 -2 beta)))
(*.f64 1 (/.f64 -1 (-.f64 -2 beta)))
(*.f64 (/.f64 -1 (-.f64 -2 beta)) 1)
(*.f64 (pow.f64 (+.f64 beta 2) -1/2) (pow.f64 (+.f64 beta 2) -1/2))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 -2 beta))) (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)) (/.f64 -1 (cbrt.f64 (-.f64 -2 beta))))
(*.f64 (/.f64 1 (fma.f64 beta beta -4)) (+.f64 beta -2))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 beta 2)) -1) (pow.f64 (sqrt.f64 (+.f64 beta 2)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 beta 2)) -1))
(pow.f64 (+.f64 beta 2) -1)
(pow.f64 (/.f64 -1 (-.f64 -2 beta)) 1)
(pow.f64 (pow.f64 (+.f64 beta 2) -1/2) 2)
(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -2 beta))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (-.f64 -2 beta)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 beta 2) -2))
(log.f64 (exp.f64 (/.f64 -1 (-.f64 -2 beta))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (-.f64 -2 beta)))))
(cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 -2 beta)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 -2 beta))))
(exp.f64 (neg.f64 (log.f64 (+.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta 2)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1 (-.f64 -2 beta))))
Outputs
(/.f64 1/6 (+.f64 2 alpha))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))
(fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha)))
(fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 (/.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 alpha 3))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (/.f64 1/6 (+.f64 2 alpha)))
(fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 (/.f64 (+.f64 (+.f64 (*.f64 alpha 3) 16) (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (/.f64 1/6 (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 beta (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))))
(fma.f64 -1 (*.f64 (*.f64 beta beta) (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 2 alpha))))) (/.f64 (*.f64 1/36 (+.f64 alpha 7)) (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha))))
(-.f64 (fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 (/.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 alpha 3))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (/.f64 1/6 (+.f64 2 alpha))) (*.f64 beta (*.f64 beta (fma.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1/6 (/.f64 (+.f64 2 alpha) (*.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 alpha 3))) (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 (/.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 alpha 3))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)))))))))
(-.f64 (fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 (/.f64 (+.f64 (+.f64 (*.f64 alpha 3) 16) (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (/.f64 1/6 (+.f64 2 alpha))) (*.f64 beta (*.f64 beta (fma.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1/6 (/.f64 (+.f64 2 alpha) (*.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 (/.f64 (+.f64 (+.f64 (*.f64 alpha 3) 16) (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (+.f64 (+.f64 (*.f64 alpha 3) 16) (*.f64 2 alpha)))))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 7 alpha)) (+.f64 2 alpha))) (+.f64 (*.f64 1/36 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 beta (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))))
(fma.f64 -1 (*.f64 (pow.f64 beta 3) (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (+.f64 alpha 7))) (+.f64 (/.f64 1/36 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/6 (/.f64 (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 2 alpha))))) (/.f64 (*.f64 1/36 (+.f64 alpha 7)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 2 alpha))))))))) (fma.f64 -1 (*.f64 (*.f64 beta beta) (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 2 alpha))))) (/.f64 (*.f64 1/36 (+.f64 alpha 7)) (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha)))))
(-.f64 (-.f64 (fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 (/.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 alpha 3))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (/.f64 1/6 (+.f64 2 alpha))) (*.f64 beta (*.f64 beta (fma.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1/6 (/.f64 (+.f64 2 alpha) (*.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 alpha 3))) (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 (/.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 alpha 3))) (pow.f64 (+.f64 2 alpha) 2)) -1/36))))))))) (*.f64 (pow.f64 beta 3) (fma.f64 1/6 (*.f64 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 (/.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 alpha 3))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (+.f64 2 alpha)) (+.f64 alpha 7)) (fma.f64 -1/6 (*.f64 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1/6 (/.f64 (+.f64 2 alpha) (*.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 alpha 3))) (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 (/.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 alpha 3))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)))))) (+.f64 2 alpha)) (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 alpha 3)))) (/.f64 1/36 (pow.f64 (+.f64 2 alpha) 2))))))
(-.f64 (-.f64 (fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 (/.f64 (+.f64 (+.f64 (*.f64 alpha 3) 16) (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (/.f64 1/6 (+.f64 2 alpha))) (*.f64 beta (*.f64 beta (fma.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1/6 (/.f64 (+.f64 2 alpha) (*.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 (/.f64 (+.f64 (+.f64 (*.f64 alpha 3) 16) (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (+.f64 (+.f64 (*.f64 alpha 3) 16) (*.f64 2 alpha))))))))) (*.f64 (pow.f64 beta 3) (fma.f64 1/6 (*.f64 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 (/.f64 (+.f64 (+.f64 (*.f64 alpha 3) 16) (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (+.f64 2 alpha)) (+.f64 alpha 7)) (fma.f64 -1/6 (*.f64 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1/6 (/.f64 (+.f64 2 alpha) (*.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 (/.f64 (+.f64 (+.f64 (*.f64 alpha 3) 16) (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (+.f64 (+.f64 (*.f64 alpha 3) 16) (*.f64 2 alpha)))))) (+.f64 2 alpha)) (+.f64 (+.f64 (*.f64 alpha 3) 16) (*.f64 2 alpha))) (/.f64 1/36 (pow.f64 (+.f64 2 alpha) 2))))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (neg.f64 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))))
(-.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)))
(+.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (pow.f64 beta 4)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (*.f64 -1 (+.f64 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)) (/.f64 (fma.f64 -1 (*.f64 (+.f64 alpha 7) (+.f64 alpha 6)) (fma.f64 3 (+.f64 2 alpha) (+.f64 10 (*.f64 2 alpha)))) (pow.f64 beta 4)))))
(-.f64 (-.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))) (/.f64 (-.f64 (fma.f64 2 (+.f64 alpha 5) (+.f64 6 (*.f64 alpha 3))) (*.f64 (+.f64 alpha 7) (+.f64 alpha 6))) (pow.f64 beta 4)))
(+.f64 (/.f64 (/.f64 1 beta) beta) (-.f64 (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3)) (/.f64 (fma.f64 (-.f64 -6 alpha) (+.f64 alpha 7) (+.f64 (+.f64 (*.f64 alpha 3) 16) (*.f64 2 alpha))) (pow.f64 beta 4))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 6 (+.f64 2 alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (+.f64 7 alpha))))) (pow.f64 beta 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (pow.f64 beta 4))))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -1 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)) (fma.f64 -1 (/.f64 (fma.f64 6 (+.f64 2 alpha) (*.f64 -1 (+.f64 (*.f64 (+.f64 alpha 6) (fma.f64 3 (+.f64 2 alpha) (+.f64 10 (*.f64 2 alpha)))) (*.f64 (+.f64 alpha 7) (fma.f64 -1 (*.f64 (+.f64 alpha 7) (+.f64 alpha 6)) (fma.f64 3 (+.f64 2 alpha) (+.f64 10 (*.f64 2 alpha)))))))) (pow.f64 beta 5)) (neg.f64 (/.f64 (fma.f64 -1 (*.f64 (+.f64 alpha 7) (+.f64 alpha 6)) (fma.f64 3 (+.f64 2 alpha) (+.f64 10 (*.f64 2 alpha)))) (pow.f64 beta 4))))))
(+.f64 (-.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))) (-.f64 (/.f64 (neg.f64 (-.f64 (fma.f64 2 (+.f64 alpha 5) (+.f64 6 (*.f64 alpha 3))) (*.f64 (+.f64 alpha 7) (+.f64 alpha 6)))) (pow.f64 beta 4)) (/.f64 (fma.f64 (+.f64 2 alpha) 6 (neg.f64 (fma.f64 (+.f64 alpha 6) (fma.f64 2 (+.f64 alpha 5) (+.f64 6 (*.f64 alpha 3))) (*.f64 (+.f64 alpha 7) (-.f64 (fma.f64 2 (+.f64 alpha 5) (+.f64 6 (*.f64 alpha 3))) (*.f64 (+.f64 alpha 7) (+.f64 alpha 6))))))) (pow.f64 beta 5))))
(-.f64 (+.f64 (/.f64 (/.f64 1 beta) beta) (-.f64 (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3)) (/.f64 (fma.f64 (-.f64 -6 alpha) (+.f64 alpha 7) (+.f64 (+.f64 (*.f64 alpha 3) 16) (*.f64 2 alpha))) (pow.f64 beta 4)))) (/.f64 (-.f64 (fma.f64 (+.f64 2 alpha) 6 (*.f64 (+.f64 (+.f64 (*.f64 alpha 3) 16) (*.f64 2 alpha)) (-.f64 -6 alpha))) (*.f64 (+.f64 alpha 7) (fma.f64 (-.f64 -6 alpha) (+.f64 alpha 7) (+.f64 (+.f64 (*.f64 alpha 3) 16) (*.f64 2 alpha))))) (pow.f64 beta 5)))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
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1/2
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(fma.f64 -1/4 beta 1/2)
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(/.f64 (/.f64 -1 (-.f64 -2 beta)) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 (-.f64 -1 beta) (+.f64 beta 3))))
(/.f64 (/.f64 (/.f64 (neg.f64 (-.f64 -1 beta)) (-.f64 -2 beta)) (+.f64 beta 3)) (-.f64 -2 (+.f64 alpha beta)))
(/.f64 (/.f64 (/.f64 (neg.f64 (-.f64 -1 beta)) (-.f64 -2 beta)) (+.f64 beta 3)) (-.f64 (-.f64 -2 alpha) beta))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))) (-.f64 -2 beta))
(/.f64 (/.f64 -1 (-.f64 -2 beta)) (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta 3)) (+.f64 beta 1)))
(/.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)) (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 -2 beta)))
(/.f64 (neg.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (-.f64 (-.f64 -2 beta) alpha))
(/.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 beta 3))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (*.f64 (-.f64 (-.f64 -2 alpha) beta) (+.f64 beta 3))))
(pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) 1)
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 beta)) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 beta))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))) 2)
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 beta)) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 beta))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))) 3)
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 beta)) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 beta))
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 beta)) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 beta))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) 2))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 beta)) (+.f64 (+.f64 alpha beta) 2)) 2))
(fabs.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 beta)))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 beta)) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 beta))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 beta)) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 beta))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) 3))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 beta)) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 beta))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 -1 (-.f64 -2 beta)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta 3))) 3) (/.f64 -1 (pow.f64 (-.f64 -2 beta) 3))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 (+.f64 alpha beta))) 3) (/.f64 -1 (pow.f64 (-.f64 -2 beta) 3))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (-.f64 -2 beta)) 3) (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta 3))) 3) (/.f64 -1 (pow.f64 (-.f64 -2 beta) 3))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 (+.f64 alpha beta))) 3) (/.f64 -1 (pow.f64 (-.f64 -2 beta) 3))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (+.f64 beta 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta 3))) 3) (pow.f64 (+.f64 2 beta) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (+.f64 2 beta) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 beta)) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 beta))
(exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 beta)) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 beta))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))) 1))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 beta)) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 beta))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 beta)) (+.f64 (+.f64 alpha beta) 2))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 (+.f64 alpha beta))) (+.f64 2 beta))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (-.f64 -2 beta)))) 1)
(/.f64 -1 (-.f64 -2 beta))
(*.f64 -1 (/.f64 1 (-.f64 -2 beta)))
(/.f64 -1 (-.f64 -2 beta))
(*.f64 1 (/.f64 -1 (-.f64 -2 beta)))
(/.f64 -1 (-.f64 -2 beta))
(*.f64 (/.f64 -1 (-.f64 -2 beta)) 1)
(/.f64 -1 (-.f64 -2 beta))
(*.f64 (pow.f64 (+.f64 beta 2) -1/2) (pow.f64 (+.f64 beta 2) -1/2))
(/.f64 1 (+.f64 2 beta))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 -2 beta))) (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 -2 beta))) (cbrt.f64 (pow.f64 (+.f64 2 beta) -2)))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) -2))) (cbrt.f64 (-.f64 -2 beta)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)) (/.f64 -1 (cbrt.f64 (-.f64 -2 beta))))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 -2 beta))) (cbrt.f64 (pow.f64 (+.f64 2 beta) -2)))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 2 beta) -2))) (cbrt.f64 (-.f64 -2 beta)))
(*.f64 (/.f64 1 (fma.f64 beta beta -4)) (+.f64 beta -2))
(/.f64 (+.f64 beta -2) (fma.f64 beta beta -4))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) 8)) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (fma.f64 beta (+.f64 beta -2) 4) (+.f64 (pow.f64 beta 3) 8))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 beta 2)) -1) (pow.f64 (sqrt.f64 (+.f64 beta 2)) -1))
(pow.f64 (sqrt.f64 (+.f64 2 beta)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 beta 2)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (/.f64 1 (cbrt.f64 (+.f64 2 beta))))
(pow.f64 (+.f64 beta 2) -1)
(/.f64 1 (+.f64 2 beta))
(pow.f64 (/.f64 -1 (-.f64 -2 beta)) 1)
(/.f64 -1 (-.f64 -2 beta))
(pow.f64 (pow.f64 (+.f64 beta 2) -1/2) 2)
(/.f64 1 (+.f64 2 beta))
(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -2 beta))) 3)
(/.f64 -1 (-.f64 -2 beta))
(pow.f64 (pow.f64 (/.f64 -1 (-.f64 -2 beta)) 3) 1/3)
(/.f64 -1 (-.f64 -2 beta))
(sqrt.f64 (pow.f64 (+.f64 beta 2) -2))
(sqrt.f64 (pow.f64 (+.f64 2 beta) -2))
(log.f64 (exp.f64 (/.f64 -1 (-.f64 -2 beta))))
(/.f64 -1 (-.f64 -2 beta))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (-.f64 -2 beta)))))
(/.f64 -1 (-.f64 -2 beta))
(cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 -2 beta)) 3))
(/.f64 -1 (-.f64 -2 beta))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 -2 beta))))
(/.f64 -1 (-.f64 -2 beta))
(exp.f64 (neg.f64 (log.f64 (+.f64 beta 2))))
(/.f64 1 (+.f64 2 beta))
(exp.f64 (*.f64 (log.f64 (+.f64 beta 2)) -1))
(/.f64 1 (+.f64 2 beta))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta 2))) 1))
(/.f64 1 (+.f64 2 beta))
(log1p.f64 (expm1.f64 (/.f64 -1 (-.f64 -2 beta))))
(/.f64 -1 (-.f64 -2 beta))

eval1.5s (6.7%)

Compiler

Compiled 60888 to 44505 computations (26.9% saved)

prune561.0ms (2.6%)

Pruning

35 alts after pruning (27 fresh and 8 done)

PrunedKeptTotal
New166591674
Fresh71825
Picked101
Done189
Total1674351709
Error
0b
Counts
1709 → 35
Alt Table
Click to see full alt table
StatusErrorProgram
33.7b
(pow.f64 beta -2)
4.5b
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))) (-.f64 -3 beta))
4.3b
(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 beta 2) (+.f64 alpha (*.f64 beta alpha))) 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
4.9b
(/.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)) (*.f64 (-.f64 -2 beta) (+.f64 alpha (+.f64 beta 2))))
25.5b
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
24.7b
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
14.4b
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 1 (+.f64 2 alpha))))
29.8b
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) beta)
29.8b
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
28.8b
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
33.7b
(/.f64 (/.f64 1 beta) beta)
34.4b
(/.f64 (-.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta beta))) (+.f64 beta 2))
16.5b
(/.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 2/9 beta))) 2/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
34.0b
(/.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (-.f64 4 (*.f64 beta beta))))
16.1b
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
27.4b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
32.3b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
43.5b
(/.f64 alpha (*.f64 beta beta))
29.2b
(/.f64 1 (/.f64 (+.f64 beta 2) (/.f64 1 (+.f64 beta 3))))
55.7b
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
29.2b
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
33.5b
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
34.1b
(/.f64 1 (*.f64 beta beta))
60.2b
(/.f64 2/9 beta)
33.8b
(/.f64 1/6 (+.f64 2 alpha))
33.8b
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 -1/4 beta) 1/2))
0.1b
(*.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))))
0.1b
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))))
0.1b
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
4.9b
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 beta 2)))
30.4b
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
30.5b
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
28.9b
(*.f64 (/.f64 1 (-.f64 -2 beta)) (/.f64 -1 (+.f64 beta 3)))
31.1b
(*.f64 (/.f64 1/3 (+.f64 2 alpha)) (/.f64 1 (+.f64 beta 2)))
57.0b
1/6
Compiler

Compiled 523 to 390 computations (25.4% saved)

regimes102.0ms (0.5%)

Counts
64 → 1
Calls
Call 1
Inputs
1/6
(/.f64 2/9 beta)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 1/3 (+.f64 2 alpha)) (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 1 (-.f64 -2 beta)) (/.f64 -1 (+.f64 beta 3)))
(/.f64 1 (/.f64 (+.f64 beta 2) (/.f64 1 (+.f64 beta 3))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) beta)
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 1/3 (+.f64 2 alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (-.f64 4 (*.f64 beta beta))))
(/.f64 (-.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta beta))) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 beta 2)))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 1 (/.f64 2 beta)) (*.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)))
(/.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)) (*.f64 (-.f64 -2 beta) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))) (-.f64 -3 beta))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 -1/4 beta) 1/2))
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 1 (+.f64 2 alpha))))
(*.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))))
(/.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 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)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.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 2 alpha) (neg.f64 (*.f64 beta (+.f64 1 alpha)))))) (+.f64 alpha (+.f64 beta 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 (/.f64 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 beta 2) (+.f64 alpha (*.f64 beta alpha))) 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(pow.f64 beta -2)
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))
(/.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 2/9 beta))) 2/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))))))
(/.f64 (*.f64 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
Outputs
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))))
Calls

3 calls:

32.0ms
alpha
30.0ms
beta
17.0ms
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
Results
ErrorSegmentsBranch
0.1b1alpha
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 1032 to 696 computations (32.6% saved)

regimes71.0ms (0.3%)

Counts
51 → 1
Calls
Call 1
Inputs
1/6
(/.f64 2/9 beta)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 1/3 (+.f64 2 alpha)) (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 1 (-.f64 -2 beta)) (/.f64 -1 (+.f64 beta 3)))
(/.f64 1 (/.f64 (+.f64 beta 2) (/.f64 1 (+.f64 beta 3))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) beta)
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 1/3 (+.f64 2 alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (-.f64 4 (*.f64 beta beta))))
(/.f64 (-.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta beta))) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 beta 2)))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 1 (/.f64 2 beta)) (*.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)))
(/.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)) (*.f64 (-.f64 -2 beta) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))) (-.f64 -3 beta))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 -1/4 beta) 1/2))
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 1 (+.f64 2 alpha))))
(*.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))))
(/.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 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)))
Outputs
(*.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))))
Calls

2 calls:

26.0ms
beta
26.0ms
alpha
Results
ErrorSegmentsBranch
0.1b1alpha
0.1b1beta
Compiler

Compiled 675 to 464 computations (31.3% saved)

regimes105.0ms (0.5%)

Counts
47 → 2
Calls
Call 1
Inputs
1/6
(/.f64 2/9 beta)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 1/3 (+.f64 2 alpha)) (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 1 (-.f64 -2 beta)) (/.f64 -1 (+.f64 beta 3)))
(/.f64 1 (/.f64 (+.f64 beta 2) (/.f64 1 (+.f64 beta 3))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) beta)
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 1/3 (+.f64 2 alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (-.f64 4 (*.f64 beta beta))))
(/.f64 (-.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta beta))) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 beta 2)))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 1 (/.f64 2 beta)) (*.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)))
(/.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)) (*.f64 (-.f64 -2 beta) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))) (-.f64 -3 beta))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 -1/4 beta) 1/2))
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 1 (+.f64 2 alpha))))
Outputs
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.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:

46.0ms
beta
45.0ms
alpha
Results
ErrorSegmentsBranch
1.1b2alpha
1.1b2beta
Compiler

Compiled 575 to 398 computations (30.8% saved)

bsearch22.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
123.01493192026963
557131850.0097828
Results
19.0ms144×body256valid
Compiler

Compiled 420 to 316 computations (24.8% saved)

regimes89.0ms (0.4%)

Counts
38 → 2
Calls
Call 1
Inputs
1/6
(/.f64 2/9 beta)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 1/3 (+.f64 2 alpha)) (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 1 (-.f64 -2 beta)) (/.f64 -1 (+.f64 beta 3)))
(/.f64 1 (/.f64 (+.f64 beta 2) (/.f64 1 (+.f64 beta 3))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) beta)
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 1/3 (+.f64 2 alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (-.f64 4 (*.f64 beta beta))))
(/.f64 (-.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta beta))) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 beta 2)))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 1 (/.f64 2 beta)) (*.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)))
(/.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)) (*.f64 (-.f64 -2 beta) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))) (-.f64 -3 beta))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
Outputs
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
Calls

2 calls:

41.0ms
beta
37.0ms
alpha
Results
ErrorSegmentsBranch
1.1b2alpha
1.1b2beta
Compiler

Compiled 400 to 276 computations (31% saved)

bsearch24.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
23.0ms
123.01493192026963
557131850.0097828
Results
21.0ms144×body256valid
Compiler

Compiled 402 to 307 computations (23.6% saved)

regimes74.0ms (0.3%)

Counts
34 → 2
Calls
Call 1
Inputs
1/6
(/.f64 2/9 beta)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 1/3 (+.f64 2 alpha)) (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 1 (-.f64 -2 beta)) (/.f64 -1 (+.f64 beta 3)))
(/.f64 1 (/.f64 (+.f64 beta 2) (/.f64 1 (+.f64 beta 3))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) beta)
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 1/3 (+.f64 2 alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (-.f64 4 (*.f64 beta beta))))
(/.f64 (-.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta beta))) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 beta 2)))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 1 (/.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
Outputs
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 beta 2)))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
Calls

2 calls:

34.0ms
beta
31.0ms
alpha
Results
ErrorSegmentsBranch
1.5b2alpha
1.2b2beta
Compiler

Compiled 330 to 227 computations (31.2% saved)

bsearch26.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
25.0ms
3627980625619.226
2.647691359726396e+19
Results
23.0ms144×body256valid
Compiler

Compiled 384 to 289 computations (24.7% saved)

regimes214.0ms (1%)

Counts
31 → 2
Calls
Call 1
Inputs
1/6
(/.f64 2/9 beta)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 1/3 (+.f64 2 alpha)) (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 1 (-.f64 -2 beta)) (/.f64 -1 (+.f64 beta 3)))
(/.f64 1 (/.f64 (+.f64 beta 2) (/.f64 1 (+.f64 beta 3))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) beta)
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 1/3 (+.f64 2 alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (-.f64 4 (*.f64 beta beta))))
(/.f64 (-.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta beta))) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
Outputs
(*.f64 (/.f64 1/3 (+.f64 2 alpha)) (/.f64 1 (+.f64 beta 2)))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha))
Calls

2 calls:

75.0ms
alpha
29.0ms
beta
Results
ErrorSegmentsBranch
10.3b2alpha
2.5b2beta
Compiler

Compiled 279 to 190 computations (31.9% saved)

bsearch63.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
62.0ms
0.05301964688641119
123.01493192026963
Results
60.0ms128×body256valid
Compiler

Compiled 298 to 228 computations (23.5% saved)

regimes175.0ms (0.8%)

Counts
30 → 2
Calls
Call 1
Inputs
1/6
(/.f64 2/9 beta)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 1/3 (+.f64 2 alpha)) (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 1 (-.f64 -2 beta)) (/.f64 -1 (+.f64 beta 3)))
(/.f64 1 (/.f64 (+.f64 beta 2) (/.f64 1 (+.f64 beta 3))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) beta)
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 1/3 (+.f64 2 alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 1/3 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (-.f64 4 (*.f64 beta beta))))
(/.f64 (-.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta beta))) (+.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
Outputs
(*.f64 (/.f64 1/3 (+.f64 2 alpha)) (/.f64 1 (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) beta)
Calls

2 calls:

124.0ms
beta
45.0ms
alpha
Results
ErrorSegmentsBranch
10.5b2alpha
2.5b2beta
Compiler

Compiled 264 to 180 computations (31.8% saved)

bsearch23.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
0.05301964688641119
123.01493192026963
Results
20.0ms128×body256valid
Compiler

Compiled 266 to 204 computations (23.3% saved)

regimes193.0ms (0.9%)

Counts
23 → 2
Calls
Call 1
Inputs
1/6
(/.f64 2/9 beta)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 1/3 (+.f64 2 alpha)) (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 1 (-.f64 -2 beta)) (/.f64 -1 (+.f64 beta 3)))
(/.f64 1 (/.f64 (+.f64 beta 2) (/.f64 1 (+.f64 beta 3))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
Outputs
(*.f64 (/.f64 1/3 (+.f64 2 alpha)) (/.f64 1 (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
Calls

2 calls:

163.0ms
alpha
23.0ms
beta
Results
ErrorSegmentsBranch
16.2b7alpha
2.5b2beta
Compiler

Compiled 175 to 122 computations (30.3% saved)

bsearch22.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
0.05301964688641119
123.01493192026963
Results
20.0ms128×body256valid
Compiler

Compiled 266 to 204 computations (23.3% saved)

regimes139.0ms (0.6%)

Counts
22 → 2
Calls
Call 1
Inputs
1/6
(/.f64 2/9 beta)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(*.f64 (/.f64 1/3 (+.f64 2 alpha)) (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 1 (-.f64 -2 beta)) (/.f64 -1 (+.f64 beta 3)))
(/.f64 1 (/.f64 (+.f64 beta 2) (/.f64 1 (+.f64 beta 3))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
Outputs
(*.f64 (/.f64 1/3 (+.f64 2 alpha)) (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
Calls

2 calls:

107.0ms
alpha
24.0ms
beta
Results
ErrorSegmentsBranch
16.2b7alpha
2.6b2beta
Compiler

Compiled 164 to 115 computations (29.9% saved)

bsearch22.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
0.05301964688641119
123.01493192026963
Results
20.0ms128×body256valid
Compiler

Compiled 250 to 196 computations (21.6% saved)

regimes89.0ms (0.4%)

Counts
17 → 2
Calls
Call 1
Inputs
1/6
(/.f64 2/9 beta)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
Outputs
(/.f64 1/6 (+.f64 2 alpha))
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
Calls

2 calls:

63.0ms
alpha
20.0ms
beta
Results
ErrorSegmentsBranch
16.4b7alpha
2.6b2beta
Compiler

Compiled 109 to 71 computations (34.9% saved)

bsearch22.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
0.05301964688641119
123.01493192026963
Results
20.0ms128×body256valid
Compiler

Compiled 202 to 156 computations (22.8% saved)

regimes59.0ms (0.3%)

Counts
14 → 2
Calls
Call 1
Inputs
1/6
(/.f64 2/9 beta)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
Outputs
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
Calls

2 calls:

38.0ms
alpha
18.0ms
beta
Results
ErrorSegmentsBranch
20.6b4alpha
4.4b2beta
Compiler

Compiled 82 to 51 computations (37.8% saved)

bsearch21.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
0.05301964688641119
123.01493192026963
Results
19.0ms128×body256valid
Compiler

Compiled 186 to 140 computations (24.7% saved)

regimes82.0ms (0.4%)

Counts
11 → 2
Calls
Call 1
Inputs
1/6
(/.f64 2/9 beta)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta (+.f64 beta 5)))
(/.f64 1 (+.f64 6 (*.f64 beta 5)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
Outputs
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 (/.f64 1 beta) beta)
Calls

2 calls:

35.0ms
alpha
14.0ms
beta
Results
ErrorSegmentsBranch
20.6b5alpha
5.9b2beta
Compiler

Compiled 61 to 41 computations (32.8% saved)

bsearch21.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
0.05301964688641119
123.01493192026963
Results
20.0ms128×body256valid
Compiler

Compiled 170 to 132 computations (22.4% saved)

regimes63.0ms (0.3%)

Counts
7 → 2
Calls
Call 1
Inputs
1/6
(/.f64 2/9 beta)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
Outputs
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
Calls

2 calls:

36.0ms
beta
25.0ms
alpha
Results
ErrorSegmentsBranch
21.1b5alpha
6.2b2beta
Compiler

Compiled 35 to 23 computations (34.3% saved)

bsearch23.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
23.0ms
0.05301964688641119
123.01493192026963
Results
21.0ms128×body256valid
Compiler

Compiled 170 to 132 computations (22.4% saved)

regimes12.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
1/6
(/.f64 2/9 beta)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 1/6 (+.f64 2 alpha))
Outputs
(/.f64 1/6 (+.f64 2 alpha))
Calls

2 calls:

7.0ms
alpha
4.0ms
beta
Results
ErrorSegmentsBranch
33.8b1alpha
33.8b1beta
Compiler

Compiled 25 to 19 computations (24% saved)

regimes14.0ms (0.1%)

Counts
4 → 2
Calls
Call 1
Inputs
1/6
(/.f64 2/9 beta)
(/.f64 1 alpha)
(+.f64 (*.f64 -5/36 beta) 1/6)
Outputs
(+.f64 (*.f64 -5/36 beta) 1/6)
(/.f64 2/9 beta)
Calls

2 calls:

9.0ms
beta
4.0ms
alpha
Results
ErrorSegmentsBranch
57.0b1alpha
55.9b2beta
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch22.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
0.05301964688641119
123.01493192026963
Results
20.0ms128×body256valid
Compiler

Compiled 154 to 124 computations (19.5% saved)

regimes13.0ms (0.1%)

Accuracy

Total -6.7b remaining (-11.9%)

Threshold costs -6.7b (-11.9%)

Counts
3 → 2
Calls
Call 1
Inputs
1/6
(/.f64 2/9 beta)
(/.f64 1 alpha)
Outputs
1/6
(/.f64 2/9 beta)
Calls

2 calls:

9.0ms
beta
3.0ms
alpha
Results
ErrorSegmentsBranch
57.0b1alpha
55.9b2beta
Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch23.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
22.0ms
0.05301964688641119
123.01493192026963
Results
18.0ms128×body256valid
Compiler

Compiled 122 to 100 computations (18% saved)

simplify45.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0108975
1139975
2146975
3150975
4152975
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))))
(*.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))))
(if (<=.f64 beta 140000000) (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.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 110000000) (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 1300000000000000) (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 beta 2))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha)))
(if (<=.f64 beta 3) (*.f64 (/.f64 1/3 (+.f64 2 alpha)) (/.f64 1 (+.f64 beta 2))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha)))
(if (<=.f64 beta 11/2) (*.f64 (/.f64 1/3 (+.f64 2 alpha)) (/.f64 1 (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) beta))
(if (<=.f64 beta 6530219459687219/1125899906842624) (*.f64 (/.f64 1/3 (+.f64 2 alpha)) (/.f64 1 (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 4841369599423283/562949953421312) (*.f64 (/.f64 1/3 (+.f64 2 alpha)) (/.f64 1 (+.f64 beta 2))) (*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)))
(if (<=.f64 beta 9/2) (/.f64 1/6 (+.f64 2 alpha)) (*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)))
(if (<=.f64 beta 7/2) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(if (<=.f64 beta 8106479329266893/2251799813685248) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 4165829655317709/1125899906842624) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 1 (*.f64 beta beta)))
(/.f64 1/6 (+.f64 2 alpha))
(if (<=.f64 beta 2476979795053773/2251799813685248) (+.f64 (*.f64 -5/36 beta) 1/6) (/.f64 2/9 beta))
(if (<=.f64 beta 5944751508129055/4503599627370496) 1/6 (/.f64 2/9 beta))
1/6
Outputs
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) (/.f64 (+.f64 (+.f64 alpha beta) 2) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2))))
(*.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))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 3 beta))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))
(if (<=.f64 beta 140000000) (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.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 140000000) (*.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 3 beta) (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 3 beta) (*.f64 alpha 2))) (+.f64 alpha (+.f64 3 beta))))
(if (<=.f64 beta 110000000) (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 110000000) (*.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 3 beta) (+.f64 beta 2))) (/.f64 1 (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 3 beta) (*.f64 alpha 2))) (+.f64 alpha (+.f64 3 beta))))
(if (<=.f64 beta 1300000000000000) (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (+.f64 beta 2))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha)))
(if (<=.f64 beta 1300000000000000) (*.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 3 beta) (+.f64 beta 2))) (/.f64 1 (+.f64 beta 2))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 (-.f64 -3 beta) alpha)))
(if (<=.f64 beta 3) (*.f64 (/.f64 1/3 (+.f64 2 alpha)) (/.f64 1 (+.f64 beta 2))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 2 alpha))) (-.f64 (-.f64 -3 beta) alpha)))
(if (<=.f64 beta 3) (*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1/3 (+.f64 alpha 2))) (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 2))) (-.f64 (-.f64 -3 beta) alpha)))
(if (<=.f64 beta 11/2) (*.f64 (/.f64 1/3 (+.f64 2 alpha)) (/.f64 1 (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) beta))
(if (<=.f64 beta 11/2) (*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1/3 (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta))) beta))
(if (<=.f64 beta 6530219459687219/1125899906842624) (*.f64 (/.f64 1/3 (+.f64 2 alpha)) (/.f64 1 (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 6530219459687219/1125899906842624) (*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1/3 (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 3 beta))))
(if (<=.f64 beta 4841369599423283/562949953421312) (*.f64 (/.f64 1/3 (+.f64 2 alpha)) (/.f64 1 (+.f64 beta 2))) (*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)))
(if (<=.f64 beta 4841369599423283/562949953421312) (*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1/3 (+.f64 alpha 2))) (*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 1 beta)))
(if (<=.f64 beta 9/2) (/.f64 1/6 (+.f64 2 alpha)) (*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta)))
(if (<=.f64 beta 9/2) (/.f64 1/6 (+.f64 alpha 2)) (*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 1 beta)))
(if (<=.f64 beta 7/2) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(if (<=.f64 beta 7/2) (/.f64 1/6 (+.f64 alpha 2)) (/.f64 (+.f64 alpha 1) (*.f64 beta beta)))
(if (<=.f64 beta 8106479329266893/2251799813685248) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 8106479329266893/2251799813685248) (/.f64 1/6 (+.f64 alpha 2)) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 4165829655317709/1125899906842624) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 1 (*.f64 beta beta)))
(if (<=.f64 beta 4165829655317709/1125899906842624) (/.f64 1/6 (+.f64 alpha 2)) (/.f64 1 (*.f64 beta beta)))
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1/6 (+.f64 alpha 2))
(if (<=.f64 beta 2476979795053773/2251799813685248) (+.f64 (*.f64 -5/36 beta) 1/6) (/.f64 2/9 beta))
(if (<=.f64 beta 2476979795053773/2251799813685248) (+.f64 1/6 (*.f64 beta -5/36)) (/.f64 2/9 beta))
(if (<=.f64 beta 5944751508129055/4503599627370496) 1/6 (/.f64 2/9 beta))
1/6
Compiler

Compiled 392 to 291 computations (25.8% saved)

soundness726.0ms (3.3%)

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

Useful iterations: 3 (0.0ms)

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

Compiled 453 to 280 computations (38.2% saved)

end227.0ms (1%)

Compiler

Compiled 414 to 291 computations (29.7% saved)

Profiling

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