Details

Time bar (total: 22.3s)

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)

sample1.9s (8.6%)

Results
1.9s8256×body256valid
Bogosity

preprocess347.0ms (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)

simplify622.0ms (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)

prune7.0ms (0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New369
Fresh011
Picked000
Done000
Total3710
Error
0.1b
Counts
10 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
2.6b
(/.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))
3.2b
(/.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)))
3.2b
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
8.2b
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
1.6b
(/.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 350 to 232 computations (33.7% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
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 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)

series23.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
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
@inf
(/.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
alpha
@-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)))
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)))

rewrite108.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
017196
1414160
26531160
Stop Event
node limit
Counts
4 → 169
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))
(/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
Outputs
((#(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
1528×associate-*r*
1422×associate-*l*
1400×+-commutative
1096×associate-+r+
778×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

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

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))
1.5b
(/.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)

series12.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite112.0ms (0.5%)

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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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))))))))

simplify169.0ms (0.8%)

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)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
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(/.f64 (+.f64 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)
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 2)))))
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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))
(+.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 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)
(+.f64 (pow.f64 beta 2) (*.f64 2 (*.f64 beta (+.f64 2 alpha))))
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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)
(*.f64 1 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
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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)

localize28.0ms (0.1%)

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)))
1.5b
(/.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))))
2.4b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))
Compiler

Compiled 85 to 53 computations (37.6% saved)

series5.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite163.0ms (0.7%)

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

simplify136.0ms (0.6%)

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))

localize75.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))
1.5b
(/.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))))
2.4b
(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))
Compiler

Compiled 93 to 46 computations (50.5% saved)

series12.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite158.0ms (0.7%)

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))))))))

simplify193.0ms (0.9%)

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)))

localize70.0ms (0.3%)

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))
2.4b
(/.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
alpha
@-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))

rewrite428.0ms (1.9%)

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)))))

simplify282.0ms (1.3%)

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)

eval2.7s (11.9%)

Compiler

Compiled 125189 to 88803 computations (29.1% saved)

prune1.2s (5.2%)

Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New2377212398
Fresh101
Picked101
Done404
Total2383212404
Error
0.0b
Counts
2404 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) 2)
2.1b
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
3.2b
(/.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))))
4.0b
(/.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 beta alpha)) (/.f64 (-.f64 -1 beta) (+.f64 (+.f64 2 alpha) beta)))) (+.f64 alpha (+.f64 beta 3)))
26.3b
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
14.1b
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
31.7b
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
14.1b
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
17.4b
(/.f64 (/.f64 (*.f64 (fma.f64 beta beta -1) (+.f64 alpha 1)) (*.f64 (+.f64 beta -1) (+.f64 alpha (+.f64 beta 3)))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
2.1b
(/.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))) 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
62.0b
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
28.2b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
33.4b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
33.4b
(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (*.f64 beta beta))
1.3b
(*.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))))
0.4b
(*.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))))
1.5b
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 (+.f64 beta 3) alpha))) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
6.5b
(*.f64 (+.f64 beta 1) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)))
Compiler

Compiled 932 to 664 computations (28.8% saved)

localize32.0ms (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)

series16.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite124.0ms (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)))))))))

simplify195.0ms (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)))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
1.6b
(/.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))

rewrite58.0ms (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))

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
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))
1.6b
(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (*.f64 beta beta))
Compiler

Compiled 62 to 34 computations (45.2% saved)

series4.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite83.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
736×distribute-lft-neg-in
692×distribute-rgt-neg-in
356×add-sqr-sqrt
348×pow1
348×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01449
133749
2545849
Stop Event
node limit
Counts
1 → 44
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (*.f64 beta beta))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (/.f64 (*.f64 beta beta) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 beta) (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta)) (pow.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) beta) (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (*.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2)))) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha))) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 beta -2) (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 alpha) (*.f64 beta (-.f64 -3 (+.f64 alpha beta)))) (/.f64 (+.f64 1 beta) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) beta) (/.f64 (-.f64 -1 alpha) (*.f64 beta (-.f64 -3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 1 beta) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (*.f64 beta (neg.f64 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (/.f64 (exp.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha))) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 beta 4))) (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta)) (pow.f64 (cbrt.f64 beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) 1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 1) (/.f64 (+.f64 1 beta) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 beta beta)) (+.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) 1) (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (cbrt.f64 (pow.f64 beta 4))) (/.f64 (+.f64 1 beta) (pow.f64 (cbrt.f64 beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (cbrt.f64 (pow.f64 beta 4))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (pow.f64 (cbrt.f64 beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (cbrt.f64 (pow.f64 beta 4))) (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (pow.f64 (cbrt.f64 beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) 2) beta) (/.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) 2) (cbrt.f64 (pow.f64 beta 4))) (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 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(/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))) (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta)) 3) (pow.f64 (*.f64 beta beta) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 beta) (+.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha (+.f64 beta 3)))) (log.f64 (pow.f64 beta -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 beta) (+.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha (+.f64 beta 3)))) (log.f64 (pow.f64 beta -2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2)))))))))

simplify97.0ms (0.4%)

Algorithm
egg-herbie
Rules
1770×associate-/r*
996×associate--l+
760×associate--r+
668×associate-/r/
454×associate-+r-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03206484
110736276
246536256
Stop Event
node limit
Counts
68 → 150
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2))))) alpha) (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2))))) alpha) (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 3)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2))))) (pow.f64 alpha 2)) (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 3))))))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2))))) alpha) (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 3)))) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 4))) (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 3) 4))))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 3)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2))))) (pow.f64 alpha 2)) (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))))))
(/.f64 (+.f64 beta 1) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) alpha)) (/.f64 1 (*.f64 beta alpha))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 beta 2) alpha)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) alpha)) (+.f64 (/.f64 1 (*.f64 beta alpha)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 beta 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 beta 2))) (+.f64 beta 3)) (pow.f64 alpha 2))))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 beta 2) alpha)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) alpha)) (+.f64 (/.f64 1 (*.f64 beta alpha)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 beta 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 beta 2))) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 beta 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 beta 2))) (+.f64 beta 3)) (pow.f64 alpha 2)))))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 beta 2) alpha)))
(/.f64 (+.f64 beta 1) (pow.f64 beta 2))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 beta 2)))) alpha))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 beta 2)))) (+.f64 beta 3)) (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 beta 2)))) alpha)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 beta 2)))) (+.f64 beta 3)) (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 beta 2)))) alpha)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 beta 2)))) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 3)))))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 beta 2) (+.f64 3 alpha)))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta (+.f64 3 alpha))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 3 alpha))) (+.f64 (/.f64 alpha (*.f64 beta (+.f64 3 alpha))) (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 3 alpha)))))) (+.f64 (/.f64 alpha (*.f64 beta (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 3 alpha) 2)))))
(-.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (+.f64 (/.f64 1 (*.f64 beta (+.f64 3 alpha))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 3)) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 beta (+.f64 3 alpha)))))))) (+.f64 (/.f64 alpha (*.f64 beta (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 3 alpha) 2)))))))
(-.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 beta 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (+.f64 (/.f64 1 (*.f64 beta (+.f64 3 alpha))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 3)) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 3 alpha))) (+.f64 (/.f64 alpha (*.f64 beta (+.f64 3 alpha))) (*.f64 beta (-.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 beta (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 3 alpha) 2)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 alpha))) (+.f64 3 alpha)) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 5)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 alpha))) (+.f64 3 alpha)) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 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 alpha)))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)))) (+.f64 3 alpha)) (pow.f64 beta 4)) (+.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 alpha)))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)))) (+.f64 3 alpha)) (pow.f64 beta 4)) (+.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 alpha)))) (pow.f64 beta 3))) (+.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 5))) (/.f64 alpha (pow.f64 beta 2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2))))) 1)
(*.f64 1 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2))))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2)))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (/.f64 (*.f64 beta beta) (+.f64 1 beta))))
(*.f64 (+.f64 1 beta) (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (pow.f64 beta -2)))
(*.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta)) (pow.f64 beta -2))
(*.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2))) 1)
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) beta) (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) beta))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (*.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (pow.f64 beta -2)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2)))) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (pow.f64 beta -2)))
(*.f64 (/.f64 (exp.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha))) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) (/.f64 1 beta))
(*.f64 (pow.f64 beta -2) (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta)))
(*.f64 (/.f64 (-.f64 -1 alpha) (*.f64 beta (-.f64 -3 (+.f64 alpha beta)))) (/.f64 (+.f64 1 beta) beta))
(*.f64 (/.f64 (+.f64 1 beta) beta) (/.f64 (-.f64 -1 alpha) (*.f64 beta (-.f64 -3 (+.f64 alpha beta)))))
(*.f64 (/.f64 (*.f64 (+.f64 1 beta) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (*.f64 beta (neg.f64 beta))))
(*.f64 (/.f64 1 beta) (/.f64 (exp.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha))) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 beta 4))) (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta)) (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (/.f64 (+.f64 1 beta) 1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 beta beta)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 1) (/.f64 (+.f64 1 beta) (*.f64 beta beta)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 beta beta)) (+.f64 1 beta))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) 1) (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (*.f64 beta beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (*.f64 beta beta)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (cbrt.f64 (pow.f64 beta 4))) (/.f64 (+.f64 1 beta) (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (/.f64 (+.f64 1 beta) (cbrt.f64 (pow.f64 beta 4))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (cbrt.f64 (pow.f64 beta 4))) (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) 2) beta) (/.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) 2) (cbrt.f64 (pow.f64 beta 4))) (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2)))))
(pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2))) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) beta) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2))) 3) 1/3)
(pow.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 1)) (/.f64 (*.f64 beta beta) (+.f64 1 beta))) -1)
(neg.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta)) (*.f64 beta (neg.f64 beta))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta)) 2) (pow.f64 beta 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 1 beta)) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))) (pow.f64 beta -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta)) 3) (pow.f64 (*.f64 beta beta) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2)))))
(exp.f64 (+.f64 (log1p.f64 beta) (+.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha (+.f64 beta 3)))) (log.f64 (pow.f64 beta -2)))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 beta) (+.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha (+.f64 beta 3)))) (log.f64 (pow.f64 beta -2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2)))))
Outputs
(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (*.f64 (*.f64 beta beta) (+.f64 beta 3)))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2))))) alpha) (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))))
(fma.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (/.f64 1 (*.f64 (*.f64 beta beta) (+.f64 beta 3)))) (+.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 2)))) alpha (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (/.f64 1 (*.f64 (*.f64 beta beta) (+.f64 beta 3)))))
(+.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 beta 3)) (fma.f64 (+.f64 (/.f64 (pow.f64 beta -1) (+.f64 beta 3)) (-.f64 (-.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 beta 3)) (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 3) 2))) (/.f64 (pow.f64 beta -1) (pow.f64 (+.f64 beta 3) 2)))) alpha (/.f64 (pow.f64 beta -1) (+.f64 beta 3))))
(+.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 beta 3)) (fma.f64 (-.f64 (-.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 beta 3)) (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 3) 2))) (-.f64 (/.f64 (pow.f64 beta -1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (pow.f64 beta -1) (+.f64 beta 3)))) alpha (/.f64 (pow.f64 beta -1) (+.f64 beta 3))))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2))))) alpha) (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 3)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2))))) (pow.f64 alpha 2)) (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 3))))))
(fma.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (/.f64 1 (*.f64 (*.f64 beta beta) (+.f64 beta 3)))) (+.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 2)))) alpha (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (fma.f64 (+.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 3) 3)) (-.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 3)) (+.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 2))))) (*.f64 alpha alpha) (/.f64 1 (*.f64 (*.f64 beta beta) (+.f64 beta 3))))))
(+.f64 (fma.f64 (+.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 3) 3)) (-.f64 (/.f64 (pow.f64 beta -1) (pow.f64 (+.f64 beta 3) 3)) (+.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (pow.f64 beta -1) (pow.f64 (+.f64 beta 3) 2))))) (*.f64 alpha alpha) (/.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 beta 3))) (fma.f64 (+.f64 (/.f64 (pow.f64 beta -1) (+.f64 beta 3)) (-.f64 (-.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 beta 3)) (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 3) 2))) (/.f64 (pow.f64 beta -1) (pow.f64 (+.f64 beta 3) 2)))) alpha (/.f64 (pow.f64 beta -1) (+.f64 beta 3))))
(+.f64 (fma.f64 (+.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 3) 3)) (-.f64 (/.f64 (pow.f64 beta -1) (pow.f64 (+.f64 beta 3) 3)) (+.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (pow.f64 beta -1) (pow.f64 (+.f64 beta 3) 2))))) (*.f64 alpha alpha) (/.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 beta 3))) (fma.f64 (-.f64 (-.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 beta 3)) (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 3) 2))) (-.f64 (/.f64 (pow.f64 beta -1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (pow.f64 beta -1) (+.f64 beta 3)))) alpha (/.f64 (pow.f64 beta -1) (+.f64 beta 3))))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2))))) alpha) (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 3)))) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 4))) (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 3) 4))))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 3)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2))))) (pow.f64 alpha 2)) (/.f64 1 (*.f64 (pow.f64 beta 2) (+.f64 beta 3)))))))
(fma.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (/.f64 1 (*.f64 (*.f64 beta beta) (+.f64 beta 3)))) (+.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 2)))) alpha (+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (fma.f64 (+.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 3) 3)) (-.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 3)) (+.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 4))) (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 3) 4))))) (pow.f64 alpha 3) (fma.f64 (+.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 3) 3)) (-.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 3)) (+.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 2))))) (*.f64 alpha alpha) (/.f64 1 (*.f64 (*.f64 beta beta) (+.f64 beta 3)))))))
(+.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 3) 3)) (-.f64 (/.f64 (pow.f64 beta -1) (pow.f64 (+.f64 beta 3) 3)) (/.f64 (pow.f64 beta -1) (pow.f64 (+.f64 beta 3) 4)))) (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 3) 4))) (pow.f64 alpha 3) (fma.f64 (+.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 3) 3)) (-.f64 (/.f64 (pow.f64 beta -1) (pow.f64 (+.f64 beta 3) 3)) (+.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (pow.f64 beta -1) (pow.f64 (+.f64 beta 3) 2))))) (*.f64 alpha alpha) (/.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 beta 3)))) (fma.f64 (+.f64 (/.f64 (pow.f64 beta -1) (+.f64 beta 3)) (-.f64 (-.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 beta 3)) (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 3) 2))) (/.f64 (pow.f64 beta -1) (pow.f64 (+.f64 beta 3) 2)))) alpha (/.f64 (pow.f64 beta -1) (+.f64 beta 3))))
(+.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 3) 3)) (-.f64 (/.f64 (pow.f64 beta -1) (pow.f64 (+.f64 beta 3) 3)) (/.f64 (pow.f64 beta -1) (pow.f64 (+.f64 beta 3) 4)))) (/.f64 (/.f64 (pow.f64 beta -1) (pow.f64 (+.f64 beta 3) 4)) beta)) (pow.f64 alpha 3) (fma.f64 (+.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 3) 3)) (-.f64 (/.f64 (pow.f64 beta -1) (pow.f64 (+.f64 beta 3) 3)) (+.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (pow.f64 beta -1) (pow.f64 (+.f64 beta 3) 2))))) (*.f64 alpha alpha) (/.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 beta 3)))) (fma.f64 (-.f64 (-.f64 (/.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 beta 3)) (/.f64 (/.f64 1 (*.f64 beta beta)) (pow.f64 (+.f64 beta 3) 2))) (-.f64 (/.f64 (pow.f64 beta -1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (pow.f64 beta -1) (+.f64 beta 3)))) alpha (/.f64 (pow.f64 beta -1) (+.f64 beta 3))))
(/.f64 (+.f64 beta 1) (pow.f64 beta 2))
(/.f64 (+.f64 beta 1) (*.f64 beta beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) alpha)) (/.f64 1 (*.f64 beta alpha))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 beta 2) alpha)))
(+.f64 (/.f64 1 beta) (-.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 1 (*.f64 (*.f64 beta beta) alpha))) (/.f64 1 (*.f64 beta alpha))) (*.f64 (/.f64 (+.f64 beta 1) (*.f64 beta beta)) (/.f64 (+.f64 beta 3) alpha))))
(+.f64 (pow.f64 beta -1) (-.f64 (+.f64 (/.f64 1 (*.f64 (*.f64 beta beta) alpha)) (+.f64 (/.f64 (pow.f64 beta -1) alpha) (/.f64 1 (*.f64 beta beta)))) (*.f64 (/.f64 (+.f64 beta 1) (*.f64 beta beta)) (/.f64 (+.f64 beta 3) alpha))))
(+.f64 (pow.f64 beta -1) (+.f64 (+.f64 (/.f64 1 (*.f64 (*.f64 beta beta) alpha)) (+.f64 (/.f64 (pow.f64 beta -1) alpha) (/.f64 1 (*.f64 beta beta)))) (*.f64 (/.f64 (-.f64 -1 beta) (*.f64 beta beta)) (/.f64 (+.f64 beta 3) alpha))))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) alpha)) (+.f64 (/.f64 1 (*.f64 beta alpha)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 beta 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 beta 2))) (+.f64 beta 3)) (pow.f64 alpha 2))))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 beta 2) alpha)))
(+.f64 (/.f64 1 beta) (-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (+.f64 (/.f64 1 (*.f64 (*.f64 beta beta) alpha)) (/.f64 1 (*.f64 beta alpha))) (neg.f64 (/.f64 (+.f64 (/.f64 1 beta) (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 1)) (*.f64 beta beta)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 3)))))) (*.f64 (/.f64 (+.f64 beta 1) (*.f64 beta beta)) (/.f64 (+.f64 beta 3) alpha))))
(+.f64 (pow.f64 beta -1) (-.f64 (+.f64 (-.f64 (/.f64 (pow.f64 beta -1) alpha) (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (pow.f64 beta -1) (*.f64 (/.f64 (+.f64 beta 1) (*.f64 beta beta)) (+.f64 beta 3)))) (*.f64 alpha alpha)) (+.f64 beta 3))) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 1 (*.f64 (*.f64 beta beta) alpha)))) (*.f64 (/.f64 (+.f64 beta 1) (*.f64 beta beta)) (/.f64 (+.f64 beta 3) alpha))))
(+.f64 (pow.f64 beta -1) (+.f64 (+.f64 (-.f64 (/.f64 (pow.f64 beta -1) alpha) (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (pow.f64 beta -1) (/.f64 (-.f64 -1 beta) (/.f64 (*.f64 beta beta) (+.f64 beta 3))))) (*.f64 alpha alpha)) (+.f64 beta 3))) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 1 (*.f64 (*.f64 beta beta) alpha)))) (*.f64 (/.f64 (-.f64 -1 beta) (*.f64 beta beta)) (/.f64 (+.f64 beta 3) alpha))))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (*.f64 (pow.f64 beta 2) alpha)) (+.f64 (/.f64 1 (*.f64 beta alpha)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 beta 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 beta 2))) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (pow.f64 beta 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 beta 2))) (+.f64 beta 3)) (pow.f64 alpha 2)))))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (pow.f64 beta 2) alpha)))
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(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 3 (+.f64 beta alpha)))) (neg.f64 (/.f64 (+.f64 beta 1) (neg.f64 beta))))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))) (-.f64 -1 beta)) (neg.f64 (*.f64 beta beta)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta)) 2) (pow.f64 beta 4)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha)) (+.f64 beta 1)) 2) (pow.f64 beta 4)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))) (+.f64 beta 1)) 2) (pow.f64 beta 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 1 beta)) (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))) (pow.f64 beta -2)))
(*.f64 (pow.f64 beta -2) (log.f64 (pow.f64 (exp.f64 (+.f64 beta 1)) (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha)))))
(*.f64 (pow.f64 beta -2) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))) (log.f64 (exp.f64 (+.f64 beta 1)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2))))))
(*.f64 (+.f64 beta 1) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha)) (pow.f64 beta -2)))
(*.f64 (+.f64 beta 1) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))) (pow.f64 beta -2)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2))) 3))
(*.f64 (+.f64 beta 1) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha)) (pow.f64 beta -2)))
(*.f64 (+.f64 beta 1) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))) (pow.f64 beta -2)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta)) 3) (pow.f64 (*.f64 beta beta) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha)) (+.f64 beta 1)) 3) (pow.f64 (*.f64 beta beta) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))) (+.f64 beta 1)) 3) (pow.f64 beta 6)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2)))))
(*.f64 (+.f64 beta 1) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha)) (pow.f64 beta -2)))
(*.f64 (+.f64 beta 1) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))) (pow.f64 beta -2)))
(exp.f64 (+.f64 (log1p.f64 beta) (+.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha (+.f64 beta 3)))) (log.f64 (pow.f64 beta -2)))))
(exp.f64 (+.f64 (log1p.f64 beta) (+.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 (+.f64 beta 3) alpha))) (log.f64 (pow.f64 beta -2)))))
(exp.f64 (+.f64 (log1p.f64 beta) (fma.f64 -2 (log.f64 beta) (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 3 (+.f64 beta alpha)))))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 beta) (+.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha (+.f64 beta 3)))) (log.f64 (pow.f64 beta -2)))) 1))
(exp.f64 (+.f64 (log1p.f64 beta) (+.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 (+.f64 beta 3) alpha))) (log.f64 (pow.f64 beta -2)))))
(exp.f64 (+.f64 (log1p.f64 beta) (fma.f64 -2 (log.f64 beta) (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 3 (+.f64 beta alpha)))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 beta -2)))))
(*.f64 (+.f64 beta 1) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha)) (pow.f64 beta -2)))
(*.f64 (+.f64 beta 1) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))) (pow.f64 beta -2)))

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))
0.0b
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 (+.f64 beta 3) alpha))) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
0.0b
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 (+.f64 beta 3) alpha))
1.5b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 (+.f64 beta 3) alpha)))
Compiler

Compiled 89 to 59 computations (33.7% saved)

series7.0ms (0%)

Counts
4 → 96
Calls

24 calls:

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

rewrite192.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
566×associate-+l+
524×+-commutative
466×associate-+r+
442×add-sqr-sqrt
432×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017172
1418160
26791160
Stop Event
node limit
Counts
4 → 224
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 (+.f64 beta 3) alpha)))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 (+.f64 beta 3) alpha))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 (+.f64 beta 3) alpha))) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
(/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))) (sqrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 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(+.f64 alpha (+.f64 beta 3)))) (+.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 alpha)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (neg.f64 (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) (-.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha alpha))) (+.f64 beta (-.f64 3 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha (-.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 beta 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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (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 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 3)) (*.f64 alpha (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) beta) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) beta) (+.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) 3) (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) 3) (+.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) beta) (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 beta 3) beta) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 alpha 2)) (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> 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simplify232.0ms (1%)

Algorithm
egg-herbie
Rules
1452×+-commutative
1436×associate-/r*
1134×associate-+r+
844×associate-+l+
734×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0106227140
1386126880
Stop Event
node limit
Counts
320 → 534
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)))
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(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 1 alpha))
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(+.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))))
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(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
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(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
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(+.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 (+.f64 2 alpha) (+.f64 3 alpha))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (*.f64 beta (+.f64 5 (*.f64 2 alpha))))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 2))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 2)))
(+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))))) (pow.f64 beta 2)))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(pow.f64 alpha 2)
(+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha)))
(pow.f64 alpha 2)
(+.f64 (pow.f64 alpha 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) alpha)))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) alpha))))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 (pow.f64 alpha 2) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3))) alpha))))
(/.f64 (+.f64 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))
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1
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1
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(/.f64 (+.f64 beta 1) (+.f64 beta 2))
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(/.f64 (+.f64 beta 1) alpha)
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(/.f64 (+.f64 beta 1) alpha)
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(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 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 3) (*.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(fma.f64 (+.f64 beta 3) (+.f64 alpha (+.f64 beta 2)) (*.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 1 beta))))) 1)
(/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))))
(/.f64 1 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 1 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (*.f64 (+.f64 1 alpha) (+.f64 1 beta))))
(/.f64 1 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3)))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta))))
(/.f64 1 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))))))
(/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 1 beta)))
(/.f64 (+.f64 1 alpha) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta))))
(/.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)))
(/.f64 (+.f64 1 beta) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3)))) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))))))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)) (+.f64 alpha (+.f64 beta 3))))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))
(/.f64 (+.f64 -1 (neg.f64 alpha)) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (neg.f64 (+.f64 alpha (+.f64 beta 3))))))
(/.f64 (+.f64 -1 (neg.f64 beta)) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3)))) (neg.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 -1 (neg.f64 beta))) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))) (neg.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) (+.f64 -1 (neg.f64 beta))) (neg.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (neg.f64 alpha))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (neg.f64 (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 1 beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 alpha)) (+.f64 1 beta)) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (neg.f64 (+.f64 alpha (+.f64 beta 3)))) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 alpha)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (neg.f64 (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 beta)) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))) (neg.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) 1) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (+.f64 alpha (+.f64 beta 2))) 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (+.f64 alpha (+.f64 beta 2))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) 2)) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 beta)) 1) (*.f64 (neg.f64 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))))))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) 1) (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta))))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2))) (+.f64 -1 (neg.f64 beta))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (neg.f64 (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 alpha)) 1) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (neg.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta))))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 alpha)) (+.f64 -1 (neg.f64 beta))) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (neg.f64 (+.f64 alpha (+.f64 beta 3)))) (neg.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2)))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))
(/.f64 (*.f64 (+.f64 1 beta) (+.f64 -1 (neg.f64 alpha))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (neg.f64 (+.f64 alpha (+.f64 beta 3))))))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 beta)) (+.f64 1 alpha)) (*.f64 (neg.f64 (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 beta)) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 2)))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (neg.f64 (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 beta)) (+.f64 -1 (neg.f64 alpha))) (*.f64 (neg.f64 (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (neg.f64 (+.f64 alpha (+.f64 beta 3))))))
(/.f64 (neg.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))) (neg.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (neg.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (+.f64 alpha (+.f64 beta 2)))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (neg.f64 (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (neg.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta))) (neg.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(pow.f64 (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 1 beta))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 1 beta)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 1 beta)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 1 beta))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 1 beta))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 1 beta)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 1 beta))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 1 beta))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) 3) (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 1 beta)))))
(exp.f64 (log.f64 (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 1 beta)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 1 beta)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 1 beta)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))) 1)
(*.f64 1 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 1 beta) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) 1)
(*.f64 (sqrt.f64 (+.f64 1 beta)) (*.f64 (sqrt.f64 (+.f64 1 beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (*.f64 (cbrt.f64 (+.f64 1 beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) 2))
(*.f64 (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)))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 1 beta))
(*.f64 (+.f64 -1 (neg.f64 beta)) (/.f64 1 (neg.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (+.f64 1 beta) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (+.f64 1 beta) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 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 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))
(pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)) -1)
(neg.f64 (/.f64 (+.f64 1 beta) (neg.f64 (+.f64 alpha (+.f64 beta 2)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 beta) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 alpha (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))
Outputs
(/.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 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (fma.f64 2 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 5 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) alpha))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 5 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 2 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 5 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) alpha)))
(fma.f64 -1 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (-.f64 (/.f64 1 (*.f64 (+.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 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 1 (*.f64 (+.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)))
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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 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha))) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) 3) (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 (+.f64 beta 3) alpha))) 3) (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta (+.f64 3 alpha)))) 3) (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) 3) (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 (+.f64 beta 3) alpha))) 3) (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta (+.f64 3 alpha)))) 3) (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 1 beta)))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha)) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha))) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(exp.f64 (log.f64 (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 1 beta)))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha)) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha))) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 1 beta)))) 1))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha)) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha))) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 1 beta)))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha)) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 (+.f64 beta 2) alpha) 2)))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha))) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))) 1)
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))
(*.f64 1 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 1 beta) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) 1)
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (sqrt.f64 (+.f64 1 beta)) (*.f64 (sqrt.f64 (+.f64 1 beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 1 beta))) (/.f64 1 (+.f64 (+.f64 beta 2) alpha)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 1 beta))) (/.f64 1 (+.f64 beta (+.f64 2 alpha))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (*.f64 (cbrt.f64 (+.f64 1 beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (*.f64 (/.f64 1 (+.f64 (+.f64 beta 2) alpha)) (cbrt.f64 (+.f64 1 beta))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (*.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (cbrt.f64 (+.f64 1 beta))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) 2))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (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)))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 1 beta))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 -1 (neg.f64 beta)) (/.f64 1 (neg.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 -1 beta) (neg.f64 (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (-.f64 -1 beta) (-.f64 (neg.f64 alpha) (+.f64 beta 2)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (+.f64 beta 2) alpha))) (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 (+.f64 beta 2) alpha))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (+.f64 1 beta) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (*.f64 1 (/.f64 (+.f64 1 beta) (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)) 2))
(/.f64 (*.f64 1 (/.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 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (-.f64 (-.f64 beta alpha) 2) (/.f64 (+.f64 1 beta) (-.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 beta 3) (pow.f64 (+.f64 2 alpha) 3))))
(*.f64 (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (+.f64 2 (-.f64 alpha beta)))) (/.f64 (+.f64 1 beta) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 1 beta))) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 1 beta))) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 2) alpha)) 2)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (cbrt.f64 (+.f64 (+.f64 beta 2) 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 alpha (+.f64 beta 2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (/.f64 (cbrt.f64 (+.f64 1 beta)) (+.f64 (+.f64 beta 2) 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 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (sqrt.f64 (+.f64 (+.f64 beta 2) alpha))) (cbrt.f64 (+.f64 1 beta))) (sqrt.f64 (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (cbrt.f64 (+.f64 1 beta))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 2) 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 alpha (+.f64 beta 2))) 1)
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) 2)
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) 3)
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)) -1)
(/.f64 1 (/.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 1 beta)))
(/.f64 1 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 beta)))
(neg.f64 (/.f64 (+.f64 1 beta) (neg.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (-.f64 -1 beta) (neg.f64 (+.f64 (+.f64 beta 2) alpha)))
(/.f64 (-.f64 -1 beta) (-.f64 (neg.f64 alpha) (+.f64 beta 2)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) 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 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) 3))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 beta) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 (+.f64 beta 2) alpha))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta (+.f64 2 alpha)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 alpha (+.f64 beta 2)))) 1))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 (+.f64 beta 2) alpha))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta (+.f64 2 alpha)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 2 alpha)))

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 80 to 55 computations (31.3% saved)

series9.0ms (0%)

Counts
4 → 96
Calls

24 calls:

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

rewrite135.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
480×+-commutative
462×associate-+l+
448×add-sqr-sqrt
432×*-un-lft-identity
430×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018142
1430142
26299142
Stop Event
node limit
Counts
4 → 136
Calls
Call 1
Inputs
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))
(/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3)))) (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (/.f64 (*.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3)))) (*.f64 (/.f64 (*.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3)))) (*.f64 alpha (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3)))) 1) (*.f64 (*.f64 (pow.f64 (+.f64 beta 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3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3)))) (/.f64 (*.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3)))) 2) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3)))) (/.f64 (*.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -4)) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -2) (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) -2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -2))))) (#(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 (*.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)))))))

simplify163.0ms (0.7%)

Algorithm
egg-herbie
Rules
1276×+-commutative
1240×associate-*r*
1070×associate-+r+
1022×associate-*l*
890×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
085021902
1286520528
Stop Event
node limit
Counts
232 → 429
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))))))) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4))))))
(+.f64 (/.f64 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))) (pow.f64 beta 5)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)))))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4)))))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(-.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 1 (+.f64 3 alpha))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (*.f64 beta (-.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))))))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 4)))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 3))) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (pow.f64 beta 2)))))
1
(+.f64 (/.f64 1 beta) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 3 alpha) beta))))
(+.f64 (/.f64 1 beta) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 3 alpha))) (+.f64 3 alpha)) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 3 alpha) beta)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 3 alpha))) (+.f64 3 alpha)) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 3 alpha) beta))))))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))) alpha)) (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))))
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 2)) (+.f64 beta 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))) alpha)) (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3)))))
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 2)) (+.f64 beta 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))) alpha)) (+.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 4)) (/.f64 beta (pow.f64 (+.f64 beta 3) 4))) (pow.f64 alpha 3))) (/.f64 beta (+.f64 beta 3))))))
(/.f64 (+.f64 beta 1) alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (pow.f64 alpha 4))) (/.f64 1 alpha)))))
(/.f64 (+.f64 beta 1) alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (pow.f64 alpha 4))) (/.f64 1 alpha)))))
(/.f64 (+.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))
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(/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta 1)))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (-.f64 1 (*.f64 alpha alpha)) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta 1)) (-.f64 1 alpha)))
(/.f64 (+.f64 1 (pow.f64 alpha 3)) (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta 1)) (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha))))
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3))) (-.f64 1 (*.f64 alpha alpha))) (-.f64 1 alpha))
(/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 (pow.f64 alpha 3))) (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha)))
(/.f64 (*.f64 (+.f64 alpha 1) (-.f64 -1 beta)) (-.f64 -3 (+.f64 beta alpha)))
(/.f64 (*.f64 (+.f64 beta 1) (-.f64 1 (*.f64 alpha alpha))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 1 alpha)))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 (pow.f64 alpha 3))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha))))
(/.f64 (*.f64 (-.f64 -1 beta) (+.f64 alpha 1)) (-.f64 -3 (+.f64 beta alpha)))
(/.f64 (*.f64 (-.f64 1 (*.f64 alpha alpha)) (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3)))) (-.f64 1 alpha))
(/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3)))) (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) 1) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3))))
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 3))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3))) 2) (*.f64 (/.f64 (*.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3))) (/.f64 (*.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3))))) (-.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (*.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3))) 3) (pow.f64 (/.f64 (*.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3))) 3)) (-.f64 (+.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3))) 2) (*.f64 (/.f64 (*.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3))) (/.f64 (*.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3))))) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (*.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3))))))
(/.f64 (*.f64 (-.f64 -1 beta) (-.f64 1 (*.f64 alpha alpha))) (*.f64 (-.f64 -3 (+.f64 beta alpha)) (-.f64 1 alpha)))
(/.f64 (*.f64 (-.f64 -1 beta) (+.f64 1 (pow.f64 alpha 3))) (*.f64 (-.f64 -3 (+.f64 beta alpha)) (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha))))
(/.f64 (*.f64 (-.f64 1 (*.f64 alpha alpha)) 1) (*.f64 (-.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta 1))))
(/.f64 (*.f64 (-.f64 1 (*.f64 alpha alpha)) (+.f64 beta 1)) (*.f64 (-.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))))
(/.f64 (*.f64 (-.f64 1 (*.f64 alpha alpha)) (-.f64 -1 beta)) (*.f64 (-.f64 1 alpha) (-.f64 -3 (+.f64 beta alpha))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) 1) (*.f64 (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha)) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta 1))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 beta 1)) (*.f64 (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha)) (+.f64 alpha (+.f64 beta 3))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (-.f64 -1 beta)) (*.f64 (+.f64 1 (-.f64 (*.f64 alpha alpha) alpha)) (-.f64 -3 (+.f64 beta alpha))))
(/.f64 (neg.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1))) (-.f64 -3 (+.f64 beta alpha)))
(pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha 1)) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha 1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha 1))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha 1)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3)))) (+.f64 alpha 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha 1)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3))) 3) (pow.f64 (+.f64 alpha 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha 1))))
(exp.f64 (+.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 alpha (+.f64 beta 3)))) (log1p.f64 alpha)))
(exp.f64 (*.f64 (+.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 alpha (+.f64 beta 3)))) (log1p.f64 alpha)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha 1))))
(fma.f64 1 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (*.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3))))
(fma.f64 (+.f64 beta 1) (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 (*.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3))))
(fma.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3))) 1 (/.f64 (*.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3))))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3)))) (/.f64 (*.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3)))) 2) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3)))) (/.f64 (*.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 1)
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) 1)
(*.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -4)) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -2) (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) -2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -2))
(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 (*.f64 -2 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
Outputs
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2)))))))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (/.f64 (/.f64 alpha (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 2 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 1 alpha))))) (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (/.f64 alpha (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2)))))))) (fma.f64 -1 (*.f64 (*.f64 beta beta) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2)))))))) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2)))) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 7 (*.f64 3 alpha)) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (/.f64 (/.f64 alpha (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 2 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 1 alpha))))) (fma.f64 -1 (*.f64 (*.f64 beta beta) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2)) (-.f64 (/.f64 (/.f64 alpha (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 2 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 1 alpha))))) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 2 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 7 (*.f64 alpha 3)) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 (/.f64 (/.f64 1 (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (/.f64 alpha (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2)))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
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1
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(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3)))) 2) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 3)))) (/.f64 (*.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3))))
(+.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 3 beta)) alpha)))
(/.f64 (+.f64 1 alpha) (/.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 1 beta)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 1)
(pow.f64 (+.f64 (+.f64 alpha 2) beta) -2)
(pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) 1)
(pow.f64 (+.f64 (+.f64 alpha 2) beta) -2)
(pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)
(*.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))
(pow.f64 (+.f64 (+.f64 alpha 2) beta) -2)
(pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 (+.f64 alpha 2) beta)) (/.f64 1 (+.f64 (+.f64 alpha 2) beta)))
(/.f64 (/.f64 1 (+.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) -2)) (cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) -4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -4)) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) -2)) (cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) -4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)) (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -4)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -2) (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -2))
(pow.f64 (sqrt.f64 (+.f64 (+.f64 alpha 2) beta)) -4)
(pow.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))) -4)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) -2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) 2) -2) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha 2) beta)) -2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) -2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) -2))
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -4))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) -4))
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -4))
(log.f64 (exp.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(pow.f64 (+.f64 (+.f64 alpha 2) beta) -2)
(pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))
(pow.f64 (+.f64 (+.f64 alpha 2) beta) -2)
(pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) 3))
(pow.f64 (+.f64 (+.f64 alpha 2) beta) -2)
(pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(pow.f64 (+.f64 (+.f64 alpha 2) beta) -2)
(pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)
(exp.f64 (*.f64 -2 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (exp.f64 -2) (log.f64 (+.f64 (+.f64 alpha 2) beta)))
(pow.f64 (exp.f64 -2) (log.f64 (+.f64 alpha (+.f64 2 beta))))
(exp.f64 (*.f64 (*.f64 -2 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(pow.f64 (exp.f64 -2) (log.f64 (+.f64 (+.f64 alpha 2) beta)))
(pow.f64 (exp.f64 -2) (log.f64 (+.f64 alpha (+.f64 2 beta))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(pow.f64 (+.f64 (+.f64 alpha 2) beta) -2)
(pow.f64 (+.f64 alpha (+.f64 2 beta)) -2)

eval2.3s (10.1%)

Compiler

Compiled 90742 to 65631 computations (27.7% saved)

prune718.0ms (3.2%)

Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New1880151895
Fresh8816
Picked101
Done224
Total1891251916
Error
0b
Counts
1916 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
34.8b
(pow.f64 beta -2)
3.2b
(/.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))))
62.7b
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
26.3b
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
14.1b
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
31.7b
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
0.4b
(/.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))))
62.5b
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
14.1b
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
62.0b
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
28.2b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
33.4b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
33.7b
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta 1)) (*.f64 beta beta))
45.9b
(/.f64 alpha (*.f64 beta beta))
32.6b
(/.f64 1 (*.f64 (/.f64 beta (/.f64 (+.f64 beta 1) beta)) (/.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 1 alpha))))
34.9b
(/.f64 1 (*.f64 beta beta))
33.4b
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
0.9b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha 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))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))
32.4b
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))
30.7b
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
1.7b
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
28.1b
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (*.f64 beta (+.f64 5 (*.f64 2 alpha))))) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
32.4b
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
3.9b
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
Compiler

Compiled 876 to 617 computations (29.6% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 84 to 46 computations (45.2% saved)

series19.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
7.0ms
beta
@0
(*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 alpha 1)))
4.0ms
beta
@-inf
(*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 alpha 1)))
1.0ms
beta
@0
(/.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))))
1.0ms
alpha
@0
(/.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))))
0.0ms
alpha
@-inf
(*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 alpha 1)))

rewrite116.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
430×+-commutative
404×add-sqr-sqrt
394×pow1
394×*-un-lft-identity
384×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016166
1386154
26096154
Stop Event
node limit
Counts
4 → 170
Calls
Call 1
Inputs
(/.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 2 (+.f64 alpha beta)) (/.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 alpha 1)))
(/.f64 (+.f64 3 (+.f64 alpha beta)) (+.f64 alpha 1))
(/.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 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 beta) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 beta) (/.f64 1 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (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 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))) (sqrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) (*.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (+.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 1 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (-.f64 -2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))) 2)) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) 1) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) (+.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (-.f64 -3 (+.f64 beta alpha))) (-.f64 -1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))) (/.f64 (cbrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 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simplify184.0ms (0.8%)

Algorithm
egg-herbie
Rules
1382×associate-*r*
1300×associate-*l*
1140×+-commutative
1060×associate-/r*
896×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
087121800
1303621572
Stop Event
node limit
Counts
266 → 456
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
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(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
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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 beta 3) (+.f64 beta 2))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (-.f64 (+.f64 5 (*.f64 2 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) alpha))
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alpha
(+.f64 4 (+.f64 alpha (*.f64 2 beta)))
(-.f64 (+.f64 4 (+.f64 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) alpha) (+.f64 alpha (*.f64 2 beta)))) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha))))
(-.f64 (+.f64 4 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) alpha) (+.f64 alpha (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 2))) (*.f64 2 beta)))))) (+.f64 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 alpha 2)) (+.f64 (*.f64 2 (/.f64 beta alpha)) (*.f64 4 (/.f64 1 alpha)))))
alpha
(-.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))) alpha) 1)
(-.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))) 1))) alpha)) alpha)) 1)
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(/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha))
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(+.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 alpha (+.f64 1 alpha))) (*.f64 5 (/.f64 1 (+.f64 1 alpha)))) beta) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha))))
(+.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 alpha (+.f64 1 alpha))) (*.f64 5 (/.f64 1 (+.f64 1 alpha)))) beta) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha))))
(/.f64 (pow.f64 beta 2) (+.f64 1 alpha))
(+.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 alpha (+.f64 1 alpha))) (*.f64 5 (/.f64 1 (+.f64 1 alpha)))) beta) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha)))
(+.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 alpha (+.f64 1 alpha))) (*.f64 5 (/.f64 1 (+.f64 1 alpha)))) beta) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha))))
(+.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 alpha (+.f64 1 alpha))) (*.f64 5 (/.f64 1 (+.f64 1 alpha)))) beta) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha))))
(/.f64 (pow.f64 beta 2) (+.f64 1 alpha))
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (+.f64 1 alpha))) (*.f64 -1 (/.f64 (+.f64 3 alpha) (+.f64 1 alpha)))))) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha)))
(+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (+.f64 1 alpha))) (*.f64 -1 (/.f64 (+.f64 3 alpha) (+.f64 1 alpha)))))) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha))))
(+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)) (+.f64 (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (+.f64 1 alpha))) (*.f64 -1 (/.f64 (+.f64 3 alpha) (+.f64 1 alpha)))))) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha))))
(+.f64 beta 3)
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(+.f64 (*.f64 -1 (*.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (+.f64 beta 3)))
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1
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1
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(/.f64 (+.f64 3 alpha) (+.f64 1 alpha))
(+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(/.f64 beta (+.f64 1 alpha))
(+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(/.f64 beta (+.f64 1 alpha))
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(+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(/.f64 1 (+.f64 2 alpha))
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1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 alpha) beta)))
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1
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(/.f64 (+.f64 beta 1) (+.f64 beta 2))
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(/.f64 (+.f64 beta 1) alpha)
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(/.f64 (+.f64 beta 1) alpha)
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))))) 1)
(*.f64 1 (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (+.f64 1 beta) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (+.f64 1 beta) (/.f64 1 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))) 1)
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(*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.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 1 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (-.f64 -2 (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))) 2)) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))))))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))
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(*.f64 (/.f64 (+.f64 1 beta) 1) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) (+.f64 1 alpha))
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(*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))) 2)) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))))))
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(pow.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) -1)
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(+.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) 2) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 beta alpha)))
(+.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 beta alpha)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) 2))
(+.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 2 alpha)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) beta))
(+.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 2 alpha)))
(+.f64 (*.f64 2 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))) (*.f64 (+.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))
(+.f64 (*.f64 (+.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))) (*.f64 2 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))
(+.f64 (*.f64 (+.f64 2 alpha) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))) (*.f64 beta (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))
(+.f64 (*.f64 beta (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))) (*.f64 (+.f64 2 alpha) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))))) 1)
(/.f64 1 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))
(/.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (-.f64 2 (+.f64 beta alpha))))
(/.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 alpha (-.f64 beta 2))))))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 -3 (+.f64 beta alpha))) (-.f64 -1 alpha))
(/.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (-.f64 2 (+.f64 beta alpha)))
(/.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 alpha (-.f64 beta 2)))))
(/.f64 (*.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))) (-.f64 2 (+.f64 beta alpha)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 alpha (-.f64 beta 2)))))
(/.f64 (*.f64 (-.f64 -3 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 2))) (-.f64 -1 alpha))
(/.f64 (*.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (+.f64 beta (+.f64 alpha 3))) (*.f64 (-.f64 2 (+.f64 beta alpha)) (+.f64 1 alpha)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 beta (+.f64 alpha 3))) (*.f64 (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 alpha (-.f64 beta 2)))) (+.f64 1 alpha)))
(/.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3))) 1) (+.f64 1 alpha))
(/.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3))) (hypot.f64 1 (sqrt.f64 alpha))) (hypot.f64 1 (sqrt.f64 alpha)))
(/.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3))) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2)) (cbrt.f64 (+.f64 1 alpha)))
(/.f64 (neg.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) (-.f64 -1 alpha))
(/.f64 (*.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)) 1) (*.f64 (-.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (*.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (-.f64 -3 (+.f64 beta alpha))) (*.f64 (-.f64 2 (+.f64 beta alpha)) (-.f64 -1 alpha)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) 1) (*.f64 (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 alpha (-.f64 beta 2)))) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (-.f64 -3 (+.f64 beta alpha))) (*.f64 (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 alpha (-.f64 beta 2)))) (-.f64 -1 alpha)))
(/.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (*.f64 (+.f64 1 alpha) (-.f64 2 (+.f64 beta alpha))))
(/.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 alpha (-.f64 beta 2))))))
(/.f64 (*.f64 (-.f64 -3 (+.f64 beta alpha)) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (*.f64 (-.f64 -1 alpha) (-.f64 2 (+.f64 beta alpha))))
(/.f64 (*.f64 (-.f64 -3 (+.f64 beta alpha)) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (*.f64 (-.f64 -1 alpha) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 alpha (-.f64 beta 2))))))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3) (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))))
(exp.f64 (-.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) (log1p.f64 alpha)))
(exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (+.f64 alpha 3)))) (log1p.f64 alpha)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)))) 1)
(*.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)))
(*.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 1 (+.f64 1 alpha)))
(*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) 1)
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (+.f64 1 alpha))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2) (*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (+.f64 1 alpha))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))) 2) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))
(*.f64 (/.f64 1 (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 3)))
(*.f64 (-.f64 -3 (+.f64 beta alpha)) (/.f64 1 (-.f64 -1 alpha)))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 alpha))) (/.f64 (+.f64 beta (+.f64 alpha 3)) (hypot.f64 1 (sqrt.f64 alpha))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (cbrt.f64 (+.f64 1 alpha))))
(*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (fma.f64 alpha alpha -1)) (+.f64 alpha -1))
(*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 (pow.f64 alpha 3))) (fma.f64 alpha alpha (-.f64 1 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) 1) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2)) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) (cbrt.f64 (+.f64 1 alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2) (hypot.f64 1 (sqrt.f64 alpha))) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) (hypot.f64 1 (sqrt.f64 alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) -1)
(neg.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -1 alpha)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 3)) 3) (pow.f64 (+.f64 1 alpha) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))
(exp.f64 (-.f64 (log.f64 (+.f64 beta (+.f64 alpha 3))) (log1p.f64 alpha)))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 beta (+.f64 alpha 3))) (log1p.f64 alpha)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))) 1)
(*.f64 1 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 1 beta) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) 1)
(*.f64 (sqrt.f64 (+.f64 1 beta)) (*.f64 (sqrt.f64 (+.f64 1 beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (*.f64 (cbrt.f64 (+.f64 1 beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) 2))
(*.f64 (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)))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 1 beta))
(*.f64 (-.f64 -1 beta) (/.f64 1 (-.f64 -2 (+.f64 beta alpha))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (+.f64 1 beta) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (+.f64 1 beta) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (-.f64 2 (+.f64 beta alpha)))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 alpha (-.f64 beta 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))
(pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)) -1)
(neg.f64 (/.f64 (+.f64 1 beta) (-.f64 -2 (+.f64 beta alpha))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 beta) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 alpha (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))
Outputs
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2)))) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 2 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))
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alpha
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alpha
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1
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(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 1 beta))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (-.f64 -1 beta) (/.f64 1 (-.f64 -2 (+.f64 beta alpha))))
(*.f64 (-.f64 -1 beta) (/.f64 1 (-.f64 -2 (+.f64 alpha beta))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (+.f64 1 beta) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (+.f64 1 beta) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 (+.f64 1 beta) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (-.f64 2 (+.f64 beta alpha)))
(*.f64 (-.f64 (-.f64 2 beta) alpha) (/.f64 (+.f64 1 beta) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))))
(*.f64 (-.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 1 beta) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 alpha (-.f64 beta 2)))))
(*.f64 (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta -2)))) (/.f64 (+.f64 1 beta) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))))
(/.f64 (*.f64 (+.f64 1 beta) (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta -2))))) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 1 beta))) (+.f64 alpha (+.f64 2 beta)))
(*.f64 (sqrt.f64 (+.f64 1 beta)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (/.f64 (cbrt.f64 (+.f64 1 beta)) (+.f64 alpha (+.f64 2 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (cbrt.f64 (+.f64 1 beta)) (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)))
(pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) 1)
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) 2)
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))) 3)
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)) -1)
(/.f64 1 (/.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 1 beta)))
(neg.f64 (/.f64 (+.f64 1 beta) (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (neg.f64 (+.f64 1 beta)) (-.f64 -2 (+.f64 alpha beta)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))))))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2))) 3))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 beta) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 alpha (+.f64 2 beta)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 alpha (+.f64 beta 2)))) 1))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 alpha (+.f64 2 beta)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(/.f64 1 (*.f64 beta beta))
Compiler

Compiled 12 to 6 computations (50% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite53.0ms (0.2%)

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

Useful iterations: 1 (0.0ms)

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

simplify46.0ms (0.2%)

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

Useful iterations: 2 (0.0ms)

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

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(/.f64 1 (*.f64 beta beta))
7.0b
(/.f64 alpha (*.f64 beta beta))
7.6b
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
Compiler

Compiled 29 to 10 computations (65.5% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite81.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1176×associate-/l*
982×*-commutative
560×swap-sqr
544×associate-/r/
448×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0944
119932
2302232
Stop Event
node limit
Counts
2 → 155
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 alpha (*.f64 beta beta))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 beta -2) (+.f64 1 alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 beta -2) alpha))) (-.f64 1 (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 beta -2))) (-.f64 1 (*.f64 (pow.f64 beta -2) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1 (pow.f64 beta 4)) (*.f64 (pow.f64 beta -2) (-.f64 1 alpha))) (/.f64 alpha (/.f64 (*.f64 (pow.f64 beta -2) (-.f64 1 alpha)) (/.f64 alpha (pow.f64 beta 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 beta -2) (exp.f64 (log1p.f64 (*.f64 (pow.f64 beta -2) alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 beta -2) alpha) (exp.f64 (log1p.f64 (pow.f64 beta -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 beta -2) (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify136.0ms (0.6%)

Algorithm
egg-herbie
Rules
810×associate-*r*
740×associate-*l*
630×*-commutative
604×associate-/l*
462×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04137165
113646387
267486351
Stop Event
node limit
Counts
203 → 255
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 1 (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 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (pow.f64 beta 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 beta -2) (+.f64 1 alpha)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 beta -2) alpha))) (-.f64 1 (pow.f64 beta -2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 beta -2))) (-.f64 1 (*.f64 (pow.f64 beta -2) alpha)))
(-.f64 (/.f64 (/.f64 1 (pow.f64 beta 4)) (*.f64 (pow.f64 beta -2) (-.f64 1 alpha))) (/.f64 alpha (/.f64 (*.f64 (pow.f64 beta -2) (-.f64 1 alpha)) (/.f64 alpha (pow.f64 beta 4)))))
(-.f64 (+.f64 (pow.f64 beta -2) (exp.f64 (log1p.f64 (*.f64 (pow.f64 beta -2) alpha)))) 1)
(-.f64 (+.f64 (*.f64 (pow.f64 beta -2) alpha) (exp.f64 (log1p.f64 (pow.f64 beta -2)))) 1)
(*.f64 1 (*.f64 (pow.f64 beta -2) (+.f64 1 alpha)))
(*.f64 (pow.f64 beta -2) (+.f64 1 alpha))
(*.f64 (*.f64 (pow.f64 beta -2) (+.f64 1 alpha)) 1)
(*.f64 (sqrt.f64 (*.f64 (pow.f64 beta -2) (+.f64 1 alpha))) (sqrt.f64 (*.f64 (pow.f64 beta -2) (+.f64 1 alpha))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 beta -2) (+.f64 1 alpha))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 beta -2) (+.f64 1 alpha))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 beta -2) (+.f64 1 alpha))) 2) (cbrt.f64 (*.f64 (pow.f64 beta -2) (+.f64 1 alpha))))
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (+.f64 (pow.f64 (cbrt.f64 (pow.f64 beta -2)) 2) (*.f64 alpha (pow.f64 (cbrt.f64 (pow.f64 beta -2)) 2))))
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (+.f64 (*.f64 alpha (pow.f64 (cbrt.f64 (pow.f64 beta -2)) 2)) (pow.f64 (cbrt.f64 (pow.f64 beta -2)) 2)))
(*.f64 (/.f64 1 (pow.f64 beta 4)) (*.f64 beta (+.f64 beta (*.f64 beta alpha))))
(*.f64 (/.f64 1 beta) (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
(*.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (/.f64 1 beta)))
(*.f64 (*.f64 (/.f64 1 (pow.f64 beta 4)) (-.f64 1 (*.f64 alpha alpha))) (*.f64 (/.f64 1 (-.f64 1 alpha)) (*.f64 beta beta)))
(*.f64 (*.f64 (pow.f64 (pow.f64 beta -2) 3) (+.f64 1 (pow.f64 alpha 3))) (/.f64 1 (+.f64 (/.f64 1 (pow.f64 beta 4)) (*.f64 (/.f64 alpha (pow.f64 beta 4)) (-.f64 alpha 1)))))
(*.f64 (*.f64 beta (+.f64 beta (*.f64 beta alpha))) (/.f64 1 (pow.f64 beta 4)))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(*.f64 (neg.f64 (pow.f64 beta -2)) (+.f64 -1 (neg.f64 alpha)))
(*.f64 (neg.f64 (pow.f64 beta -2)) (+.f64 (neg.f64 alpha) -1))
(*.f64 (*.f64 (/.f64 1 (-.f64 1 alpha)) (*.f64 beta beta)) (*.f64 (/.f64 1 (pow.f64 beta 4)) (-.f64 1 (*.f64 alpha alpha))))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 (pow.f64 beta 4)) (*.f64 (/.f64 alpha (pow.f64 beta 4)) (-.f64 alpha 1)))) (*.f64 (pow.f64 (pow.f64 beta -2) 3) (+.f64 1 (pow.f64 alpha 3))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (pow.f64 beta 4)) (-.f64 1 (*.f64 alpha alpha))) (-.f64 1 alpha)) (*.f64 beta beta))
(*.f64 (/.f64 (*.f64 (/.f64 1 (pow.f64 beta 4)) (-.f64 1 (*.f64 alpha alpha))) (*.f64 (/.f64 1 (pow.f64 beta 4)) (-.f64 1 (*.f64 alpha alpha)))) (*.f64 (pow.f64 beta -2) (+.f64 1 alpha)))
(*.f64 (/.f64 (*.f64 (/.f64 1 (pow.f64 beta 4)) (-.f64 1 (*.f64 alpha alpha))) (*.f64 (*.f64 beta beta) (-.f64 1 alpha))) (pow.f64 beta 4))
(*.f64 (/.f64 (*.f64 (/.f64 1 (pow.f64 beta 4)) (-.f64 1 (*.f64 alpha alpha))) (*.f64 (pow.f64 (pow.f64 beta -2) 3) (-.f64 1 (pow.f64 alpha 3)))) (+.f64 (/.f64 1 (pow.f64 beta 4)) (*.f64 (/.f64 alpha (pow.f64 beta 4)) (+.f64 1 alpha))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (pow.f64 beta 4)) (-.f64 1 (*.f64 alpha alpha))) (-.f64 (/.f64 1 beta) (/.f64 alpha beta))) beta)
(*.f64 (/.f64 (*.f64 (/.f64 1 (pow.f64 beta 4)) (-.f64 1 (*.f64 alpha alpha))) (+.f64 -1 alpha)) (*.f64 beta (neg.f64 beta)))
(*.f64 (/.f64 (*.f64 (/.f64 1 (pow.f64 beta 4)) (-.f64 1 (*.f64 alpha alpha))) (-.f64 (/.f64 beta (/.f64 alpha beta)) (*.f64 beta beta))) (*.f64 (*.f64 beta beta) (/.f64 beta (/.f64 alpha beta))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (pow.f64 beta 4)) (-.f64 1 (*.f64 alpha alpha))) (-.f64 beta (*.f64 (*.f64 beta beta) (/.f64 alpha beta)))) (pow.f64 beta 3))
(*.f64 (/.f64 (*.f64 (/.f64 1 (pow.f64 beta 4)) (-.f64 1 (*.f64 alpha alpha))) (-.f64 (*.f64 (/.f64 1 beta) (/.f64 beta (/.f64 alpha beta))) beta)) (*.f64 beta (/.f64 beta (/.f64 alpha beta))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (pow.f64 beta 4)) (-.f64 1 (*.f64 alpha alpha))) (-.f64 (*.f64 (*.f64 beta beta) (/.f64 1 beta)) (*.f64 beta alpha))) (pow.f64 beta 3))
(*.f64 (/.f64 (*.f64 (/.f64 1 (pow.f64 beta 4)) (-.f64 1 (*.f64 alpha alpha))) (-.f64 (*.f64 beta (/.f64 1 beta)) (*.f64 beta (/.f64 alpha beta)))) (*.f64 beta beta))
(*.f64 (/.f64 (*.f64 (/.f64 1 (pow.f64 beta 4)) (-.f64 1 (*.f64 alpha alpha))) (-.f64 (*.f64 (/.f64 1 beta) (*.f64 beta (neg.f64 beta))) (*.f64 beta (neg.f64 alpha)))) (neg.f64 (pow.f64 beta 3)))
(*.f64 (/.f64 (*.f64 (/.f64 1 (pow.f64 beta 4)) (-.f64 1 (*.f64 alpha alpha))) (+.f64 (/.f64 (*.f64 beta beta) (neg.f64 alpha)) (*.f64 beta beta))) (neg.f64 (*.f64 (*.f64 beta beta) (/.f64 beta (/.f64 alpha beta)))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (pow.f64 beta 4)) (-.f64 1 (*.f64 alpha alpha))) (-.f64 0 (*.f64 (*.f64 beta beta) (-.f64 1 alpha)))) (neg.f64 (pow.f64 beta 4)))
(*.f64 (/.f64 (*.f64 (/.f64 1 (pow.f64 beta 4)) (-.f64 1 (*.f64 alpha alpha))) (+.f64 (neg.f64 beta) (*.f64 (*.f64 beta beta) (/.f64 alpha beta)))) (neg.f64 (pow.f64 beta 3)))
(*.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 beta -2) 3) (+.f64 1 (pow.f64 alpha 3))) (-.f64 (*.f64 (pow.f64 beta -2) (pow.f64 (pow.f64 beta -2) 3)) (*.f64 (*.f64 (/.f64 alpha (pow.f64 beta 4)) (-.f64 alpha 1)) (*.f64 (/.f64 alpha (pow.f64 beta 4)) (-.f64 alpha 1))))) (-.f64 (/.f64 1 (pow.f64 beta 4)) (*.f64 (/.f64 alpha (pow.f64 beta 4)) (-.f64 alpha 1))))
(*.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 beta -2) 3) (+.f64 1 (pow.f64 alpha 3))) (+.f64 (pow.f64 (/.f64 1 (pow.f64 beta 4)) 3) (pow.f64 (*.f64 (/.f64 alpha (pow.f64 beta 4)) (-.f64 alpha 1)) 3))) (+.f64 (*.f64 (pow.f64 beta -2) (pow.f64 (pow.f64 beta -2) 3)) (*.f64 (*.f64 (/.f64 alpha (pow.f64 beta 4)) (-.f64 alpha 1)) (-.f64 (*.f64 (/.f64 alpha (pow.f64 beta 4)) (-.f64 alpha 1)) (/.f64 1 (pow.f64 beta 4))))))
(*.f64 (/.f64 (/.f64 (*.f64 beta (+.f64 beta (*.f64 beta alpha))) (*.f64 beta beta)) 1) (pow.f64 beta -2))
(*.f64 (/.f64 (/.f64 (*.f64 beta (+.f64 beta (*.f64 beta alpha))) (*.f64 beta beta)) beta) (/.f64 1 beta))
(*.f64 (/.f64 (/.f64 (*.f64 beta (+.f64 beta (*.f64 beta alpha))) (*.f64 beta beta)) (cbrt.f64 (pow.f64 beta 4))) (cbrt.f64 (pow.f64 beta -2)))
(*.f64 (/.f64 (/.f64 (*.f64 beta (+.f64 beta (*.f64 beta alpha))) (*.f64 beta beta)) (*.f64 beta (neg.f64 beta))) -1)
(*.f64 (/.f64 (+.f64 (*.f64 beta (/.f64 1 beta)) (*.f64 beta (/.f64 alpha beta))) 1) (pow.f64 beta -2))
(*.f64 (/.f64 (+.f64 (*.f64 beta (/.f64 1 beta)) (*.f64 beta (/.f64 alpha beta))) beta) (/.f64 1 beta))
(*.f64 (/.f64 (+.f64 (*.f64 beta (/.f64 1 beta)) (*.f64 beta (/.f64 alpha beta))) (cbrt.f64 (pow.f64 beta 4))) (cbrt.f64 (pow.f64 beta -2)))
(*.f64 (/.f64 (+.f64 (*.f64 beta (/.f64 1 beta)) (*.f64 beta (/.f64 alpha beta))) (*.f64 beta (neg.f64 beta))) -1)
(/.f64 1 (/.f64 1 (*.f64 (pow.f64 beta -2) (+.f64 1 alpha))))
(/.f64 (*.f64 (pow.f64 beta -2) (+.f64 1 alpha)) (/.f64 (*.f64 (pow.f64 beta -2) (-.f64 1 alpha)) (*.f64 (pow.f64 beta -2) (-.f64 1 alpha))))
(/.f64 (*.f64 (/.f64 1 (pow.f64 beta 4)) (-.f64 1 (*.f64 alpha alpha))) (*.f64 (pow.f64 beta -2) (-.f64 1 alpha)))
(/.f64 (*.f64 (pow.f64 (pow.f64 beta -2) 3) (+.f64 1 (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 beta 4)) (*.f64 (/.f64 alpha (pow.f64 beta 4)) (-.f64 alpha 1))))
(/.f64 (+.f64 (/.f64 1 (pow.f64 beta 4)) (*.f64 (/.f64 alpha (pow.f64 beta 4)) (-.f64 alpha 1))) (/.f64 (+.f64 (/.f64 1 (pow.f64 beta 4)) (*.f64 (/.f64 alpha (pow.f64 beta 4)) (-.f64 alpha 1))) (*.f64 (pow.f64 beta -2) (+.f64 1 alpha))))
(/.f64 (*.f64 beta (+.f64 beta (*.f64 beta alpha))) (pow.f64 beta 4))
(/.f64 (sqrt.f64 (*.f64 beta (+.f64 beta (*.f64 beta alpha)))) (/.f64 (pow.f64 beta 4) (sqrt.f64 (*.f64 beta (+.f64 beta (*.f64 beta alpha))))))
(/.f64 (sqrt.f64 (*.f64 (pow.f64 (pow.f64 beta -2) 3) (+.f64 1 (pow.f64 alpha 3)))) (/.f64 (+.f64 (/.f64 1 (pow.f64 beta 4)) (*.f64 (/.f64 alpha (pow.f64 beta 4)) (-.f64 alpha 1))) (sqrt.f64 (*.f64 (pow.f64 (pow.f64 beta -2) 3) (+.f64 1 (pow.f64 alpha 3))))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 1 (pow.f64 beta 4)) (-.f64 1 (*.f64 alpha alpha)))) (/.f64 (*.f64 (pow.f64 beta -2) (-.f64 1 alpha)) (sqrt.f64 (*.f64 (/.f64 1 (pow.f64 beta 4)) (-.f64 1 (*.f64 alpha alpha))))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 beta (+.f64 beta (*.f64 beta alpha)))) (cbrt.f64 (*.f64 beta (+.f64 beta (*.f64 beta alpha))))) (/.f64 (pow.f64 beta 4) (cbrt.f64 (*.f64 beta (+.f64 beta (*.f64 beta alpha))))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 beta -2) 3) (+.f64 1 (pow.f64 alpha 3)))) (cbrt.f64 (*.f64 (pow.f64 (pow.f64 beta -2) 3) (+.f64 1 (pow.f64 alpha 3))))) (/.f64 (+.f64 (/.f64 1 (pow.f64 beta 4)) (*.f64 (/.f64 alpha (pow.f64 beta 4)) (-.f64 alpha 1))) (cbrt.f64 (*.f64 (pow.f64 (pow.f64 beta -2) 3) (+.f64 1 (pow.f64 alpha 3))))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 1 (pow.f64 beta 4)) (-.f64 1 (*.f64 alpha alpha)))) (cbrt.f64 (*.f64 (/.f64 1 (pow.f64 beta 4)) (-.f64 1 (*.f64 alpha alpha))))) (/.f64 (*.f64 (pow.f64 beta -2) (-.f64 1 alpha)) (cbrt.f64 (*.f64 (/.f64 1 (pow.f64 beta 4)) (-.f64 1 (*.f64 alpha alpha))))))
(/.f64 (/.f64 (*.f64 beta (+.f64 beta (*.f64 beta alpha))) (*.f64 beta beta)) (*.f64 beta beta))
(/.f64 (*.f64 (/.f64 1 (pow.f64 beta 4)) (-.f64 (*.f64 alpha alpha) 1)) (*.f64 (pow.f64 beta -2) (-.f64 alpha 1)))
(/.f64 (-.f64 (pow.f64 beta 4) (*.f64 (pow.f64 beta 4) (*.f64 alpha alpha))) (*.f64 (pow.f64 beta 4) (*.f64 (*.f64 beta beta) (-.f64 1 alpha))))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 beta -2) 3) (pow.f64 (pow.f64 beta -2) 3)) (*.f64 (pow.f64 (*.f64 (pow.f64 beta -2) alpha) 3) (pow.f64 (*.f64 (pow.f64 beta -2) alpha) 3))) (*.f64 (+.f64 (/.f64 1 (pow.f64 beta 4)) (*.f64 (/.f64 alpha (pow.f64 beta 4)) (-.f64 alpha 1))) (*.f64 (pow.f64 (pow.f64 beta -2) 3) (-.f64 1 (pow.f64 alpha 3)))))
(/.f64 (-.f64 (*.f64 (pow.f64 beta -2) (pow.f64 (pow.f64 beta -2) 3)) (*.f64 (*.f64 (pow.f64 beta -2) alpha) (pow.f64 (*.f64 (pow.f64 beta -2) alpha) 3))) (*.f64 (*.f64 (pow.f64 beta -2) (-.f64 1 alpha)) (*.f64 (/.f64 1 (pow.f64 beta 4)) (+.f64 1 (*.f64 alpha alpha)))))
(/.f64 (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 beta (*.f64 beta alpha)) 3)) (*.f64 (pow.f64 beta 4) (+.f64 (pow.f64 beta 4) (*.f64 (*.f64 beta (*.f64 beta alpha)) (-.f64 (*.f64 beta (*.f64 beta alpha)) (*.f64 beta beta))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (pow.f64 beta -2) 3) 3) (pow.f64 (pow.f64 (*.f64 (pow.f64 beta -2) alpha) 3) 3)) (*.f64 (+.f64 (/.f64 1 (pow.f64 beta 4)) (*.f64 (/.f64 alpha (pow.f64 beta 4)) (-.f64 alpha 1))) (+.f64 (*.f64 (pow.f64 (pow.f64 beta -2) 3) (pow.f64 (pow.f64 beta -2) 3)) (*.f64 (pow.f64 (*.f64 (pow.f64 beta -2) alpha) 3) (-.f64 (pow.f64 (*.f64 (pow.f64 beta -2) alpha) 3) (pow.f64 (pow.f64 beta -2) 3))))))
(/.f64 (-.f64 (pow.f64 (/.f64 1 (pow.f64 beta 4)) 3) (pow.f64 (*.f64 alpha (/.f64 alpha (pow.f64 beta 4))) 3)) (*.f64 (*.f64 (pow.f64 beta -2) (-.f64 1 alpha)) (+.f64 (*.f64 (pow.f64 beta -2) (pow.f64 (pow.f64 beta -2) 3)) (*.f64 (*.f64 alpha (/.f64 alpha (pow.f64 beta 4))) (*.f64 (/.f64 1 (pow.f64 beta 4)) (+.f64 1 (*.f64 alpha alpha)))))))
(/.f64 (+.f64 (*.f64 beta beta) (/.f64 beta (/.f64 alpha beta))) (*.f64 (*.f64 beta beta) (/.f64 beta (/.f64 alpha beta))))
(/.f64 (+.f64 beta (*.f64 (*.f64 beta beta) (/.f64 alpha beta))) (pow.f64 beta 3))
(/.f64 (+.f64 (*.f64 beta alpha) (*.f64 (*.f64 beta beta) (/.f64 1 beta))) (pow.f64 beta 3))
(/.f64 (+.f64 (*.f64 beta (/.f64 1 beta)) (*.f64 beta (/.f64 alpha beta))) (*.f64 beta beta))
(/.f64 (+.f64 (*.f64 (/.f64 1 beta) (*.f64 beta (neg.f64 beta))) (*.f64 beta (neg.f64 alpha))) (neg.f64 (pow.f64 beta 3)))
(/.f64 (+.f64 beta (*.f64 (/.f64 1 beta) (/.f64 beta (/.f64 alpha beta)))) (*.f64 beta (/.f64 beta (/.f64 alpha beta))))
(/.f64 (+.f64 (*.f64 beta (neg.f64 beta)) (/.f64 (*.f64 beta beta) (neg.f64 alpha))) (neg.f64 (*.f64 (*.f64 beta beta) (/.f64 beta (/.f64 alpha beta)))))
(/.f64 (+.f64 (neg.f64 beta) (neg.f64 (*.f64 (*.f64 beta beta) (/.f64 alpha beta)))) (neg.f64 (pow.f64 beta 3)))
(/.f64 (+.f64 (*.f64 beta beta) (*.f64 (*.f64 beta (neg.f64 beta)) (neg.f64 alpha))) (pow.f64 beta 4))
(/.f64 (neg.f64 (*.f64 (/.f64 1 (pow.f64 beta 4)) (-.f64 1 (*.f64 alpha alpha)))) (*.f64 (pow.f64 beta -2) (neg.f64 (-.f64 1 alpha))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (pow.f64 beta -2) 3) (+.f64 1 (pow.f64 alpha 3)))) (neg.f64 (+.f64 (/.f64 1 (pow.f64 beta 4)) (*.f64 (/.f64 alpha (pow.f64 beta 4)) (-.f64 alpha 1)))))
(/.f64 (neg.f64 (*.f64 beta (+.f64 beta (*.f64 beta alpha)))) (neg.f64 (pow.f64 beta 4)))
(pow.f64 (*.f64 (pow.f64 beta -2) (+.f64 1 alpha)) 1)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 beta -2) (+.f64 1 alpha))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 beta -2) (+.f64 1 alpha))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 beta -2) (+.f64 1 alpha)) 3) 1/3)
(neg.f64 (/.f64 (*.f64 (/.f64 1 (pow.f64 beta 4)) (-.f64 1 (*.f64 alpha alpha))) (*.f64 (pow.f64 beta -2) (neg.f64 (-.f64 1 alpha)))))
(neg.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 beta -2) 3) (+.f64 1 (pow.f64 alpha 3))) (neg.f64 (+.f64 (/.f64 1 (pow.f64 beta 4)) (*.f64 (/.f64 alpha (pow.f64 beta 4)) (-.f64 alpha 1))))))
(neg.f64 (/.f64 (*.f64 beta (+.f64 beta (*.f64 beta alpha))) (neg.f64 (pow.f64 beta 4))))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 beta -2) (+.f64 1 alpha)) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 beta -2) (+.f64 1 alpha))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 beta -2) (+.f64 1 alpha)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 beta -2) (+.f64 1 alpha)) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 beta -2) (+.f64 1 alpha))))
(exp.f64 (log.f64 (*.f64 (pow.f64 beta -2) (+.f64 1 alpha))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 beta -2) (+.f64 1 alpha))))
(fma.f64 1 (pow.f64 beta -2) (*.f64 (pow.f64 beta -2) alpha))
(fma.f64 1 (*.f64 (pow.f64 beta -2) alpha) (pow.f64 beta -2))
(fma.f64 alpha (pow.f64 beta -2) (pow.f64 beta -2))
(fma.f64 (/.f64 (sqrt.f64 alpha) beta) (/.f64 (sqrt.f64 alpha) beta) (pow.f64 beta -2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 beta -2) alpha)) 2) (cbrt.f64 (*.f64 (pow.f64 beta -2) alpha)) (pow.f64 beta -2))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 beta -2)) 2) (cbrt.f64 (pow.f64 beta -2)) (*.f64 (pow.f64 beta -2) alpha))
(fma.f64 (/.f64 1 beta) (/.f64 1 beta) (*.f64 (pow.f64 beta -2) alpha))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 beta -2) alpha))) 1)
(*.f64 1 (*.f64 (pow.f64 beta -2) alpha))
(*.f64 (pow.f64 beta -2) alpha)
(*.f64 alpha (pow.f64 beta -2))
(*.f64 (*.f64 (pow.f64 beta -2) alpha) 1)
(*.f64 (/.f64 (sqrt.f64 alpha) beta) (/.f64 (sqrt.f64 alpha) beta))
(*.f64 (sqrt.f64 alpha) (*.f64 (pow.f64 beta -2) (sqrt.f64 alpha)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 beta -2) alpha)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 beta -2) alpha)) 2))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 beta -2) alpha)) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 (pow.f64 beta 4))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 beta -2) alpha)) 2) (cbrt.f64 (*.f64 (pow.f64 beta -2) alpha)))
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (*.f64 alpha (pow.f64 (cbrt.f64 (pow.f64 beta -2)) 2)))
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (pow.f64 beta -2) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 beta) (/.f64 alpha beta))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(*.f64 (neg.f64 alpha) (neg.f64 (pow.f64 beta -2)))
(*.f64 (*.f64 alpha (pow.f64 (cbrt.f64 (pow.f64 beta -2)) 2)) (cbrt.f64 (pow.f64 beta -2)))
(*.f64 (*.f64 (pow.f64 beta -2) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(*.f64 (*.f64 (pow.f64 beta -2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 beta 4))) (/.f64 alpha (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (/.f64 alpha 1) (pow.f64 beta -2))
(*.f64 (/.f64 alpha (cbrt.f64 (pow.f64 beta 4))) (cbrt.f64 (pow.f64 beta -2)))
(*.f64 (/.f64 alpha (pow.f64 (cbrt.f64 beta) 2)) (/.f64 1 (cbrt.f64 (pow.f64 beta 4))))
(*.f64 (*.f64 (pow.f64 beta -2) (neg.f64 alpha)) -1)
(*.f64 (neg.f64 (pow.f64 beta -2)) (neg.f64 alpha))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (*.f64 beta beta)))
(*.f64 (/.f64 (sqrt.f64 alpha) (*.f64 beta beta)) (sqrt.f64 alpha))
(*.f64 (/.f64 (sqrt.f64 alpha) (*.f64 beta beta)) (/.f64 (sqrt.f64 alpha) 1))
(*.f64 (/.f64 (sqrt.f64 alpha) (cbrt.f64 (pow.f64 beta 4))) (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (pow.f64 beta 4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (*.f64 beta beta)))
(*.f64 (/.f64 (cbrt.f64 alpha) (*.f64 beta beta)) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) beta) (/.f64 (cbrt.f64 alpha) beta))
(*.f64 (/.f64 (cbrt.f64 alpha) beta) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 (pow.f64 beta 4))) (cbrt.f64 (*.f64 (pow.f64 beta -2) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 beta beta)) (cbrt.f64 alpha))
(*.f64 (/.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(*.f64 (/.f64 (/.f64 alpha 1) 1) (pow.f64 beta -2))
(*.f64 (/.f64 (/.f64 alpha 1) (cbrt.f64 (pow.f64 beta 4))) (cbrt.f64 (pow.f64 beta -2)))
(*.f64 (/.f64 (/.f64 alpha 1) (*.f64 beta (neg.f64 beta))) -1)
(pow.f64 (*.f64 (pow.f64 beta -2) alpha) 1)
(pow.f64 (/.f64 (sqrt.f64 alpha) beta) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 beta -2) alpha)) 3)
(pow.f64 (/.f64 beta (/.f64 alpha beta)) -1)
(pow.f64 (pow.f64 (*.f64 (pow.f64 beta -2) alpha) 3) 1/3)
(neg.f64 (*.f64 (pow.f64 beta -2) (neg.f64 alpha)))
(sqrt.f64 (*.f64 alpha (/.f64 alpha (pow.f64 beta 4))))
(log.f64 (pow.f64 (exp.f64 alpha) (pow.f64 beta -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 beta -2) alpha))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 beta -2) alpha) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 beta -2) alpha)))
(exp.f64 (log.f64 (*.f64 (pow.f64 beta -2) alpha)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 beta -2) alpha)))
Outputs
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(+.f64 (/.f64 1 (*.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 1 (*.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 1 (*.f64 beta beta)) (*.f64 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 1 (*.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 1 (*.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 1 (*.f64 beta beta)) (*.f64 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 1 (*.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 1 (*.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 1 (*.f64 beta beta)) (*.f64 alpha (pow.f64 beta -2)))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 beta -2) (+.f64 1 alpha)))) 1)
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 beta -2) alpha))) (-.f64 1 (pow.f64 beta -2)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 beta -2))) (-.f64 1 (*.f64 (pow.f64 beta -2) alpha)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 beta -2))) 1) (*.f64 alpha (pow.f64 beta -2)))
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(/.f64 (pow.f64 (pow.f64 beta -2) 3) (/.f64 (-.f64 (/.f64 -1 (pow.f64 beta 4)) (*.f64 (/.f64 alpha (pow.f64 beta 4)) (+.f64 alpha -1))) (-.f64 -1 (pow.f64 alpha 3))))
(neg.f64 (/.f64 (*.f64 beta (+.f64 beta (*.f64 beta alpha))) (neg.f64 (pow.f64 beta 4))))
(*.f64 beta (*.f64 (+.f64 beta (*.f64 alpha beta)) (/.f64 1 (pow.f64 beta 4))))
(/.f64 (fma.f64 alpha beta beta) (pow.f64 beta 3))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 beta -2) (+.f64 1 alpha)) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)) 2))
(fabs.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta -2)))
(log.f64 (exp.f64 (*.f64 (pow.f64 beta -2) (+.f64 1 alpha))))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 beta -2) (+.f64 1 alpha)))))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 beta -2) (+.f64 1 alpha)) 3))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 beta -2) (+.f64 1 alpha))))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(exp.f64 (log.f64 (*.f64 (pow.f64 beta -2) (+.f64 1 alpha))))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 beta -2) (+.f64 1 alpha))))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(fma.f64 1 (pow.f64 beta -2) (*.f64 (pow.f64 beta -2) alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(fma.f64 1 (*.f64 (pow.f64 beta -2) alpha) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(fma.f64 alpha (pow.f64 beta -2) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(fma.f64 (/.f64 (sqrt.f64 alpha) beta) (/.f64 (sqrt.f64 alpha) beta) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 beta -2) alpha)) 2) (cbrt.f64 (*.f64 (pow.f64 beta -2) alpha)) (pow.f64 beta -2))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 beta -2)) 2) (cbrt.f64 (pow.f64 beta -2)) (*.f64 (pow.f64 beta -2) alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(fma.f64 (/.f64 1 beta) (/.f64 1 beta) (*.f64 (pow.f64 beta -2) alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(*.f64 (+.f64 1 alpha) (pow.f64 beta -2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 beta -2) alpha))) 1)
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(*.f64 1 (*.f64 (pow.f64 beta -2) alpha))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(*.f64 (pow.f64 beta -2) alpha)
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(*.f64 alpha (pow.f64 beta -2))
(/.f64 alpha (*.f64 beta beta))
(*.f64 (*.f64 (pow.f64 beta -2) alpha) 1)
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(*.f64 (/.f64 (sqrt.f64 alpha) beta) (/.f64 (sqrt.f64 alpha) beta))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(*.f64 (sqrt.f64 alpha) (*.f64 (pow.f64 beta -2) (sqrt.f64 alpha)))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 beta -2) alpha)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 beta -2) alpha)) 2))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 beta -2) alpha)) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 (pow.f64 beta 4))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 (*.f64 alpha (pow.f64 beta -2)))) (cbrt.f64 (pow.f64 beta 4)))
(/.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 (cbrt.f64 (pow.f64 beta 4)) (cbrt.f64 (*.f64 alpha (pow.f64 beta -2)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 beta -2) alpha)) 2) (cbrt.f64 (*.f64 (pow.f64 beta -2) alpha)))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (*.f64 alpha (pow.f64 (cbrt.f64 (pow.f64 beta -2)) 2)))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(*.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 (pow.f64 beta -2) (cbrt.f64 alpha)))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(*.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(*.f64 (/.f64 alpha beta) (/.f64 1 beta))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(*.f64 (neg.f64 alpha) (neg.f64 (pow.f64 beta -2)))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(*.f64 (*.f64 alpha (pow.f64 (cbrt.f64 (pow.f64 beta -2)) 2)) (cbrt.f64 (pow.f64 beta -2)))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(*.f64 (*.f64 (pow.f64 beta -2) (sqrt.f64 alpha)) (sqrt.f64 alpha))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(*.f64 (*.f64 (pow.f64 beta -2) (cbrt.f64 alpha)) (pow.f64 (cbrt.f64 alpha) 2))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 beta 4))) (/.f64 alpha (pow.f64 (cbrt.f64 beta) 2)))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 beta 4))) alpha) (pow.f64 (cbrt.f64 beta) 2))
(/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (pow.f64 beta 4)))
(*.f64 (/.f64 alpha 1) (pow.f64 beta -2))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(*.f64 (/.f64 alpha (cbrt.f64 (pow.f64 beta 4))) (cbrt.f64 (pow.f64 beta -2)))
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (/.f64 alpha (cbrt.f64 (pow.f64 beta 4))))
(*.f64 (/.f64 alpha (pow.f64 (cbrt.f64 beta) 2)) (/.f64 1 (cbrt.f64 (pow.f64 beta 4))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 beta 4))) alpha) (pow.f64 (cbrt.f64 beta) 2))
(/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (pow.f64 beta 4)))
(*.f64 (*.f64 (pow.f64 beta -2) (neg.f64 alpha)) -1)
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(*.f64 (neg.f64 (pow.f64 beta -2)) (neg.f64 alpha))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(*.f64 (/.f64 (sqrt.f64 alpha) 1) (/.f64 (sqrt.f64 alpha) (*.f64 beta beta)))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(*.f64 (/.f64 (sqrt.f64 alpha) (*.f64 beta beta)) (sqrt.f64 alpha))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(*.f64 (/.f64 (sqrt.f64 alpha) (*.f64 beta beta)) (/.f64 (sqrt.f64 alpha) 1))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(*.f64 (/.f64 (sqrt.f64 alpha) (cbrt.f64 (pow.f64 beta 4))) (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 beta) 2)))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 beta 4))) alpha) (pow.f64 (cbrt.f64 beta) 2))
(/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (pow.f64 beta 4)))
(*.f64 (/.f64 (sqrt.f64 alpha) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 alpha) (cbrt.f64 (pow.f64 beta 4))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (pow.f64 beta 4))) alpha) (pow.f64 (cbrt.f64 beta) 2))
(/.f64 (/.f64 alpha (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (pow.f64 beta 4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1) (/.f64 (cbrt.f64 alpha) (*.f64 beta beta)))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(*.f64 (/.f64 (cbrt.f64 alpha) (*.f64 beta beta)) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) 1))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) beta) (/.f64 (cbrt.f64 alpha) beta))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(*.f64 (/.f64 (cbrt.f64 alpha) beta) (/.f64 (pow.f64 (cbrt.f64 alpha) 2) beta))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 (pow.f64 beta 4))) (cbrt.f64 (*.f64 (pow.f64 beta -2) alpha)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 (*.f64 alpha (pow.f64 beta -2)))) (cbrt.f64 (pow.f64 beta 4)))
(/.f64 (pow.f64 (cbrt.f64 alpha) 2) (/.f64 (cbrt.f64 (pow.f64 beta 4)) (cbrt.f64 (*.f64 alpha (pow.f64 beta -2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 beta beta)) (cbrt.f64 alpha))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(*.f64 (/.f64 1 (/.f64 (*.f64 beta beta) (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(*.f64 (/.f64 (/.f64 alpha 1) 1) (pow.f64 beta -2))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(*.f64 (/.f64 (/.f64 alpha 1) (cbrt.f64 (pow.f64 beta 4))) (cbrt.f64 (pow.f64 beta -2)))
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (/.f64 alpha (cbrt.f64 (pow.f64 beta 4))))
(*.f64 (/.f64 (/.f64 alpha 1) (*.f64 beta (neg.f64 beta))) -1)
(*.f64 -1 (/.f64 alpha (*.f64 beta (neg.f64 beta))))
(/.f64 (neg.f64 alpha) (neg.f64 (*.f64 beta beta)))
(pow.f64 (*.f64 (pow.f64 beta -2) alpha) 1)
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(pow.f64 (/.f64 (sqrt.f64 alpha) beta) 2)
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 beta -2) alpha)) 3)
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(pow.f64 (/.f64 beta (/.f64 alpha beta)) -1)
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(pow.f64 (pow.f64 (*.f64 (pow.f64 beta -2) alpha) 3) 1/3)
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(neg.f64 (*.f64 (pow.f64 beta -2) (neg.f64 alpha)))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(sqrt.f64 (*.f64 alpha (/.f64 alpha (pow.f64 beta 4))))
(log.f64 (pow.f64 (exp.f64 alpha) (pow.f64 beta -2)))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 beta -2) alpha))))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 beta -2) alpha) 3))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 beta -2) alpha)))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(exp.f64 (log.f64 (*.f64 (pow.f64 beta -2) alpha)))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 beta -2) alpha)))
(/.f64 alpha (*.f64 beta beta))
(*.f64 alpha (pow.f64 beta -2))

localize22.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 56 to 39 computations (30.4% saved)

series9.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite108.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01480
132972
2493872
Stop Event
node limit
Counts
2 → 182
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (*.f64 (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3))) (/.f64 -1 (-.f64 -3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (/.f64 1 (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) (/.f64 -1 (-.f64 -3 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3))))) (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))) (*.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))) (/.f64 -1 (-.f64 -3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3))))) 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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3)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2)))) (sqrt.f64 (+.f64 beta (-.f64 3 (*.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 (+.f64 beta 3))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 (+.f64 beta 3))) 2)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2)))) (cbrt.f64 (+.f64 beta (-.f64 3 (*.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 alpha 1) (-.f64 -3 (+.f64 beta (*.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (fma.f64 alpha 2 (+.f64 beta 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (fma.f64 alpha 2 (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (fma.f64 alpha 2 (+.f64 beta 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))))))))

simplify153.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
081120104
1295819740
Stop Event
node limit
Counts
230 → 417
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 (+.f64 beta 3) 2))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (/.f64 (*.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 2))) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (/.f64 (*.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 (+.f64 beta 3) 2))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3))))) (pow.f64 (+.f64 beta 3) 2))) (*.f64 2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))))) (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (/.f64 (*.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 2))) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))))))
(/.f64 1/2 alpha)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (*.f64 1/4 (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (pow.f64 (+.f64 beta 3) 2))) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (*.f64 1/4 (pow.f64 (+.f64 beta 3) 2))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3))))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (*.f64 1/4 (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))))) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(/.f64 1/2 alpha)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1/2 (*.f64 -1/4 (+.f64 (*.f64 -1 (+.f64 beta 3)) (*.f64 -2 (+.f64 beta 3)))))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 -1/4 (+.f64 (*.f64 -1 (+.f64 beta 3)) (*.f64 -2 (+.f64 beta 3))))) (pow.f64 (+.f64 beta 3) 2))) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 beta 3) 2)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 3)) (*.f64 -2 (+.f64 beta 3))) (-.f64 1/2 (*.f64 -1/4 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))))))))))) (pow.f64 alpha 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1/2 (*.f64 -1/4 (+.f64 (*.f64 -1 (+.f64 beta 3)) (*.f64 -2 (+.f64 beta 3)))))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 6 (+.f64 alpha (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 6 (+.f64 alpha (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (+.f64 (/.f64 1 (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) 2)) (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 3) (pow.f64 (+.f64 3 alpha) 3)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2))))))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 6 (+.f64 alpha (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (+.f64 (/.f64 1 (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) 2)) (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 3) (pow.f64 (+.f64 3 alpha) 3)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 6 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 6 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 3) (pow.f64 (+.f64 3 alpha) 3))))))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) 2)) (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 3) (pow.f64 (+.f64 3 alpha) 3)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2)))))))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 6 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 6 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) 2)))) (pow.f64 beta 4))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (*.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) (+.f64 3 alpha))))) (*.f64 -1 (*.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) 2))))))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 6 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) 2)))) (pow.f64 beta 4)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (+.f64 3 (*.f64 2 alpha))) (*.f64 -1 (+.f64 3 alpha)))) (pow.f64 beta 3)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (+.f64 3 (*.f64 2 alpha))) (*.f64 -1 (+.f64 3 alpha)))) (pow.f64 beta 3)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (*.f64 -1 (+.f64 3 (*.f64 2 alpha))) (*.f64 -1 (+.f64 3 alpha))) 2))) (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))) (pow.f64 beta 4))) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (+.f64 3 (*.f64 2 alpha))) (*.f64 -1 (+.f64 3 alpha)))) (pow.f64 beta 3)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (*.f64 -1 (+.f64 3 (*.f64 2 alpha))) (*.f64 -1 (+.f64 3 alpha))) 2))) (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))) (pow.f64 beta 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 3 (*.f64 2 alpha))) (*.f64 -1 (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (*.f64 -1 (+.f64 3 (*.f64 2 alpha))) (*.f64 -1 (+.f64 3 alpha))) 2))) (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (*.f64 (+.f64 (*.f64 -1 (+.f64 3 (*.f64 2 alpha))) (*.f64 -1 (+.f64 3 alpha))) (+.f64 3 alpha)))) (pow.f64 beta 5))))))))
(/.f64 1 (+.f64 beta 3))
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1/2
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1/2
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(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (neg.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2)))) (neg.f64 (+.f64 beta (-.f64 3 (*.f64 alpha 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3))))) (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3))))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 3 (*.f64 alpha 2)) (+.f64 3 (*.f64 alpha 2))))) (-.f64 beta (+.f64 3 (*.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (-.f64 (pow.f64 (*.f64 alpha 2) 2) (pow.f64 (+.f64 beta 3) 2))) (-.f64 (*.f64 alpha 2) (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 (*.f64 alpha 2)) 3))) (-.f64 (+.f64 (*.f64 beta beta) (*.f64 (+.f64 3 (*.f64 alpha 2)) (+.f64 3 (*.f64 alpha 2)))) (*.f64 beta (+.f64 3 (*.f64 alpha 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (fma.f64 alpha 2 (+.f64 beta 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3))))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (fma.f64 alpha 2 (+.f64 beta 3)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2)))) (sqrt.f64 (+.f64 beta (-.f64 3 (*.f64 alpha 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 (+.f64 beta 3))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3))))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 (+.f64 beta 3))) 2)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2)))) (cbrt.f64 (+.f64 beta (-.f64 3 (*.f64 alpha 2)))))
(pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha 1)) -1)
(neg.f64 (/.f64 (+.f64 alpha 1) (-.f64 -3 (+.f64 beta (*.f64 alpha 2)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (fma.f64 alpha 2 (+.f64 beta 3)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (fma.f64 alpha 2 (+.f64 beta 3)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (fma.f64 alpha 2 (+.f64 beta 3)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))))
Outputs
(/.f64 1 (pow.f64 (+.f64 beta 3) 2))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3)))))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (/.f64 (*.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 2))) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))))))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (fma.f64 -1 (*.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 beta 3) 4)) (/.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3)))))))) (*.f64 alpha alpha)) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3))))))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (fma.f64 -1 (*.f64 alpha (*.f64 alpha (+.f64 (/.f64 2 (pow.f64 (+.f64 beta 3) 4)) (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3))))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta (+.f64 (*.f64 2 beta) 9))))))) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3))))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (/.f64 (*.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 (+.f64 beta 3) 2))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3))))) (pow.f64 (+.f64 beta 3) 2))) (*.f64 2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))))) (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (/.f64 (*.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 2))) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))))))
(fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 beta 3) 4)) (/.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3)))))))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))))) (*.f64 2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3))))) (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (fma.f64 -1 (*.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 beta 3) 4)) (/.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3)))))))) (*.f64 alpha alpha)) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3)))))))))
(fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 beta 3) 4)) (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3))))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta (+.f64 (*.f64 2 beta) 9))))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta (+.f64 (*.f64 2 beta) 9)))) (*.f64 2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3))))) (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (fma.f64 -1 (*.f64 alpha (*.f64 alpha (+.f64 (/.f64 2 (pow.f64 (+.f64 beta 3) 4)) (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3))))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta (+.f64 (*.f64 2 beta) 9))))))) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3)))))))))
(/.f64 1/2 alpha)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (-.f64 (/.f64 1/2 alpha) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (*.f64 alpha alpha)))))
(+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (-.f64 (/.f64 1/2 alpha) (/.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (/.f64 (*.f64 alpha alpha) 1/4))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (*.f64 1/4 (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (+.f64 1/2 (*.f64 -1/4 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6)))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) 1/4)) (pow.f64 alpha 3)) (+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (/.f64 1/2 alpha))) (*.f64 -1/4 (/.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (*.f64 alpha alpha))))
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (+.f64 1/2 (*.f64 -1/4 (+.f64 beta (+.f64 (*.f64 2 beta) 9))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) 1/4)) (pow.f64 alpha 3)) (+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (/.f64 1/2 alpha))) (*.f64 -1/4 (/.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (pow.f64 (+.f64 beta 3) 2))) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (*.f64 1/4 (pow.f64 (+.f64 beta 3) 2))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3))))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (*.f64 1/4 (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))))) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 1/2 (*.f64 -1/4 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6)))))) (*.f64 -1/2 (*.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (fma.f64 1/2 (*.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (+.f64 1/2 (*.f64 -1/4 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6)))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) 1/4))))) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (+.f64 1/2 (*.f64 -1/4 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6)))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) 1/4)) (pow.f64 alpha 3)) (+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (/.f64 1/2 alpha)))) (*.f64 -1/4 (/.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (*.f64 alpha alpha))))
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 1/2 (*.f64 -1/4 (+.f64 beta (+.f64 (*.f64 2 beta) 9))))) (*.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (*.f64 (fma.f64 1/2 (*.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (+.f64 1/2 (*.f64 -1/4 (+.f64 beta (+.f64 (*.f64 2 beta) 9))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) 1/4)) -1/2))) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (+.f64 1/2 (*.f64 -1/4 (+.f64 beta (+.f64 (*.f64 2 beta) 9))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) 1/4)) (pow.f64 alpha 3)) (+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (/.f64 1/2 alpha)))) (*.f64 -1/4 (/.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (*.f64 alpha alpha))))
(/.f64 1/2 alpha)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(+.f64 (+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (/.f64 1/2 alpha)) (*.f64 1/4 (/.f64 (*.f64 (+.f64 beta 3) -3) (*.f64 alpha alpha))))
(+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (-.f64 (/.f64 1/2 alpha) (/.f64 (*.f64 (+.f64 beta 3) 3/4) (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1/2 (*.f64 -1/4 (+.f64 (*.f64 -1 (+.f64 beta 3)) (*.f64 -2 (+.f64 beta 3)))))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(+.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (fma.f64 1/2 (/.f64 (*.f64 (+.f64 beta 3) -3) (/.f64 (pow.f64 alpha 3) (+.f64 1/2 (*.f64 1/4 (*.f64 (+.f64 beta 3) -3))))) (+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (/.f64 1/2 alpha)))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 beta 3) -3) (*.f64 alpha alpha))))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (fma.f64 1/2 (/.f64 (*.f64 (+.f64 beta 3) -3) (/.f64 (pow.f64 alpha 3) (-.f64 1/2 (*.f64 (+.f64 beta 3) 3/4)))) (+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (/.f64 1/2 alpha)))) (/.f64 (*.f64 (+.f64 beta 3) 3/4) (*.f64 alpha alpha)))
(-.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 -1/4 (+.f64 (*.f64 -1 (+.f64 beta 3)) (*.f64 -2 (+.f64 beta 3))))) (pow.f64 (+.f64 beta 3) 2))) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 beta 3) 2)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 3)) (*.f64 -2 (+.f64 beta 3))) (-.f64 1/2 (*.f64 -1/4 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))))))))))) (pow.f64 alpha 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1/2 (*.f64 -1/4 (+.f64 (*.f64 -1 (+.f64 beta 3)) (*.f64 -2 (+.f64 beta 3)))))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
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1/2
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1/2
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(/.f64 (+.f64 1 alpha) beta)
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(/.f64 (+.f64 1 alpha) beta)
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))))) 1)
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(*.f64 (/.f64 (fma.f64 alpha alpha -1) (/.f64 (+.f64 (pow.f64 alpha 3) -1) (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3))))) (+.f64 1 (+.f64 alpha (*.f64 alpha alpha))))
(*.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (fma.f64 alpha 2 (+.f64 beta 3))) (+.f64 -1 (pow.f64 alpha 3))) (+.f64 1 (+.f64 alpha (*.f64 alpha alpha))))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3)))) (-.f64 (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha)) (*.f64 (-.f64 1 alpha) (-.f64 1 alpha)))) (+.f64 (fma.f64 alpha alpha -1) alpha))
(/.f64 (*.f64 (*.f64 (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3))) (+.f64 1 (pow.f64 alpha 3))) (+.f64 alpha (fma.f64 alpha alpha -1))) (-.f64 (pow.f64 alpha 4) (*.f64 (-.f64 1 alpha) (-.f64 1 alpha))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (fma.f64 alpha 2 (+.f64 beta 3))) (/.f64 (-.f64 (pow.f64 alpha 4) (*.f64 (-.f64 1 alpha) (-.f64 1 alpha))) (+.f64 alpha (fma.f64 alpha alpha -1))))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3)))) (+.f64 (pow.f64 (*.f64 alpha alpha) 3) (pow.f64 (-.f64 1 alpha) 3))) (-.f64 (+.f64 (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha)) (*.f64 (-.f64 1 alpha) (-.f64 1 alpha))) (*.f64 (*.f64 alpha alpha) (-.f64 1 alpha))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (+.f64 (pow.f64 (*.f64 alpha alpha) 3) (pow.f64 (-.f64 1 alpha) 3)) (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3))))) (+.f64 (pow.f64 alpha 4) (-.f64 (*.f64 (-.f64 1 alpha) (-.f64 1 alpha)) (*.f64 alpha (*.f64 alpha (-.f64 1 alpha))))))
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (fma.f64 alpha 2 (+.f64 beta 3))) (+.f64 (pow.f64 (*.f64 alpha alpha) 3) (pow.f64 (-.f64 1 alpha) 3))) (+.f64 (pow.f64 alpha 4) (-.f64 (*.f64 (-.f64 1 alpha) (-.f64 1 alpha)) (*.f64 alpha (*.f64 alpha (-.f64 1 alpha))))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) 1) (/.f64 (+.f64 beta (-.f64 3 (*.f64 alpha 2))) (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2))))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta (-.f64 3 (*.f64 2 alpha))) (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 2 alpha) 2))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) 1) (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3)))) (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3)))))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha (*.f64 2 (-.f64 (*.f64 2 alpha) (+.f64 beta 3))))) (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8))))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 2 alpha) (-.f64 (*.f64 2 alpha) (+.f64 beta 3)))) (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2))) (+.f64 beta (-.f64 3 (*.f64 alpha 2))))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta (-.f64 3 (*.f64 2 alpha))) (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 2 alpha) 2))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3)))) (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3)))))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha (*.f64 2 (-.f64 (*.f64 2 alpha) (+.f64 beta 3))))) (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8))))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 2 alpha) (-.f64 (*.f64 2 alpha) (+.f64 beta 3)))) (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (neg.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2)))) (neg.f64 (+.f64 beta (-.f64 3 (*.f64 alpha 2)))))
(/.f64 (*.f64 (+.f64 1 alpha) (neg.f64 (+.f64 beta (-.f64 3 (*.f64 2 alpha))))) (neg.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 2 alpha) 2))))
(*.f64 (neg.f64 (+.f64 beta (-.f64 3 (*.f64 2 alpha)))) (/.f64 (+.f64 1 alpha) (neg.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 2 alpha) 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3))))) (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha (*.f64 2 (-.f64 (*.f64 2 alpha) (+.f64 beta 3)))))) (/.f64 (+.f64 1 alpha) (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 2 alpha) (-.f64 (*.f64 2 alpha) (+.f64 beta 3))))) (/.f64 (+.f64 1 alpha) (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 3 (*.f64 alpha 2)) (+.f64 3 (*.f64 alpha 2))))) (-.f64 beta (+.f64 3 (*.f64 alpha 2))))
(*.f64 (-.f64 beta (+.f64 3 (*.f64 2 alpha))) (/.f64 (+.f64 1 alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2))))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 -3 (*.f64 alpha -2)))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (-.f64 (pow.f64 (*.f64 alpha 2) 2) (pow.f64 (+.f64 beta 3) 2))) (-.f64 (*.f64 alpha 2) (+.f64 beta 3)))
(*.f64 (-.f64 (*.f64 2 alpha) (+.f64 beta 3)) (/.f64 (+.f64 1 alpha) (-.f64 (pow.f64 (*.f64 2 alpha) 2) (pow.f64 (+.f64 beta 3) 2))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 (*.f64 alpha 2)) 3))) (-.f64 (+.f64 (*.f64 beta beta) (*.f64 (+.f64 3 (*.f64 alpha 2)) (+.f64 3 (*.f64 alpha 2)))) (*.f64 beta (+.f64 3 (*.f64 alpha 2)))))
(*.f64 (-.f64 (fma.f64 beta beta (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)) (*.f64 beta (+.f64 3 (*.f64 2 alpha)))) (/.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 3) (pow.f64 beta 3))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (fma.f64 alpha 2 (+.f64 beta 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3))))))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (fma.f64 alpha 2 (+.f64 beta 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha (*.f64 2 (-.f64 (*.f64 2 alpha) (+.f64 beta 3))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8))))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8))) (sqrt.f64 (fma.f64 alpha 2 (+.f64 beta 3))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 2 alpha) (-.f64 (*.f64 2 alpha) (+.f64 beta 3))))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (fma.f64 alpha 2 (+.f64 beta 3)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2)))) (sqrt.f64 (+.f64 beta (-.f64 3 (*.f64 alpha 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (fma.f64 alpha 2 (+.f64 beta 3)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 2 alpha) 2)))) (sqrt.f64 (+.f64 beta (-.f64 3 (*.f64 2 alpha)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 (+.f64 beta 3))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3))))))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8))) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 (+.f64 beta 3))) 2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha (*.f64 2 (-.f64 (*.f64 2 alpha) (+.f64 beta 3)))))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 (+.f64 beta 3))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 2 alpha) (-.f64 (*.f64 2 alpha) (+.f64 beta 3))))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 (+.f64 beta 3))) 2)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2)))) (cbrt.f64 (+.f64 beta (-.f64 3 (*.f64 alpha 2)))))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 2 alpha) 2))) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 (+.f64 beta 3))) 2))) (cbrt.f64 (+.f64 beta (-.f64 3 (*.f64 2 alpha)))))
(pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 1)
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))) 2)
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))) 3)
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 3) 1/3)
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))
(pow.f64 (/.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha 1)) -1)
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))
(neg.f64 (/.f64 (+.f64 alpha 1) (-.f64 -3 (+.f64 beta (*.f64 alpha 2)))))
(/.f64 (neg.f64 (+.f64 1 alpha)) (-.f64 -3 (+.f64 beta (*.f64 2 alpha))))
(/.f64 (neg.f64 (+.f64 1 alpha)) (-.f64 (-.f64 -3 beta) (*.f64 2 alpha)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))))
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))))))
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 3))
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (fma.f64 alpha 2 (+.f64 beta 3)) 3)))
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))))
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (fma.f64 alpha 2 (+.f64 beta 3)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (fma.f64 alpha 2 (+.f64 beta 3)))) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (fma.f64 alpha 2 (+.f64 beta 3)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))))
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 72 to 50 computations (30.6% saved)

series13.0ms (0.1%)

Counts
3 → 48
Calls

12 calls:

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

rewrite103.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
406×add-sqr-sqrt
396×pow1
396×*-un-lft-identity
394×+-commutative
380×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016111
1387111
26157111
Stop Event
node limit
Counts
3 → 139
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (+.f64 2 alpha))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha))
Outputs
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simplify106.0ms (0.5%)

Algorithm
egg-herbie
Rules
994×associate-/l*
816×distribute-lft-in
802×associate-*r*
778×associate-*l*
754×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061112927
1206212661
Stop Event
node limit
Counts
187 → 318
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 1/4 alpha))
(+.f64 1/2 (+.f64 (*.f64 1/4 alpha) (*.f64 -1/8 (pow.f64 alpha 2))))
(+.f64 1/2 (+.f64 (*.f64 1/4 alpha) (+.f64 (*.f64 -1/8 (pow.f64 alpha 2)) (*.f64 1/16 (pow.f64 alpha 3)))))
1
(-.f64 1 (/.f64 1 alpha))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (/.f64 1 alpha))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)))
1
(-.f64 1 (/.f64 1 alpha))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (/.f64 1 alpha))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)))
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))) alpha) (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))) alpha) (+.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (+.f64 beta 2)))) (pow.f64 alpha 2)))))
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))) alpha) (+.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 1/36 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 beta 7) (-.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 2))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (+.f64 beta 2)))) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (+.f64 beta 2))))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (+.f64 beta 2)))) (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 7)) (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 7))) (+.f64 beta 7)) (*.f64 (+.f64 beta 1) (+.f64 6 (*.f64 5 (+.f64 beta 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 7)) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 7) (+.f64 (*.f64 (+.f64 beta 1) (+.f64 6 (*.f64 5 (+.f64 beta 2)))) (*.f64 (+.f64 beta 7) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 7))))))) (+.f64 (*.f64 6 (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 7))) (+.f64 6 (*.f64 5 (+.f64 beta 2)))))) (pow.f64 alpha 5))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 7))) (+.f64 beta 7)) (*.f64 (+.f64 beta 1) (+.f64 6 (*.f64 5 (+.f64 beta 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 7)) (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 7)))) (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 7)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 7) (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta 7)))))) (*.f64 -1 (*.f64 (+.f64 beta 1) (-.f64 (*.f64 -5 (+.f64 beta 2)) 6)))) (pow.f64 alpha 4))) (+.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 7)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 7) (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta 7)))))) (*.f64 -1 (*.f64 (+.f64 beta 1) (-.f64 (*.f64 -5 (+.f64 beta 2)) 6)))) (pow.f64 alpha 4))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta 7)))) (-.f64 (*.f64 -5 (+.f64 beta 2)) 6)) (pow.f64 alpha 5))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 7) (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta 7)))))) (*.f64 -1 (*.f64 (+.f64 beta 1) (-.f64 (*.f64 -5 (+.f64 beta 2)) 6)))) (+.f64 beta 7)) (pow.f64 alpha 5)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -6 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 5)))))))))
(/.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 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha)))))) (+.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 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha)))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha)))))) (+.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 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha)))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 3) (+.f64 3 alpha)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 3 alpha)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 5) (+.f64 3 alpha))) (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 5) (+.f64 3 alpha)))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(-.f64 (+.f64 (/.f64 alpha (*.f64 beta (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (/.f64 1 (*.f64 beta (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 3 alpha))) (/.f64 alpha (*.f64 beta (+.f64 3 alpha)))))
(-.f64 (+.f64 (/.f64 alpha (*.f64 beta (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))))) (pow.f64 beta 2))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (/.f64 1 (*.f64 beta (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (+.f64 (/.f64 1 (*.f64 beta (+.f64 3 alpha))) (/.f64 alpha (*.f64 beta (+.f64 3 alpha)))))
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1/6
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(*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (/.f64 -1 (-.f64 -3 alpha))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (-.f64 -3 alpha))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (-.f64 -3 alpha))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (-.f64 -3 alpha))) 2) (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (-.f64 -3 alpha))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (/.f64 -1 (-.f64 -3 alpha))))
(*.f64 (/.f64 -1 (-.f64 -3 alpha)) (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)))
(*.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (/.f64 1 (-.f64 -3 alpha)))
(*.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 -1 (-.f64 -2 alpha)) (+.f64 alpha 3)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (sqrt.f64 (+.f64 alpha 3))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (cbrt.f64 (+.f64 alpha 3))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (-.f64 9 (*.f64 alpha alpha))) (-.f64 3 alpha))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (+.f64 27 (pow.f64 alpha 3))) (+.f64 9 (*.f64 alpha (-.f64 alpha 3))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 alpha 3)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 alpha 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 alpha 3)) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 alpha 2)))
(*.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 alpha 3))) (/.f64 (/.f64 -1 (-.f64 -2 alpha)) (sqrt.f64 (+.f64 alpha 3))))
(*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2)) (/.f64 (/.f64 -1 (-.f64 -2 alpha)) (cbrt.f64 (+.f64 alpha 3))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (+.f64 alpha 3)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (cbrt.f64 (+.f64 alpha 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (+.f64 alpha 3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) 2) (sqrt.f64 (+.f64 alpha 3))) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))) 2) (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2)) (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (-.f64 -3 alpha))))
(pow.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (-.f64 -3 alpha)) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (-.f64 -3 alpha))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (-.f64 -3 alpha))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (-.f64 -3 alpha)) 3) 1/3)
(pow.f64 (*.f64 (+.f64 alpha 3) (/.f64 (-.f64 -2 alpha) (-.f64 -1 alpha))) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (-.f64 -3 alpha)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (-.f64 -3 alpha)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (-.f64 -3 alpha))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (-.f64 -3 alpha)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (-.f64 -3 alpha)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) 3) (pow.f64 (+.f64 alpha 3) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (-.f64 -3 alpha))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (-.f64 -3 alpha))))
Outputs
1/2
(+.f64 1/2 (*.f64 1/4 alpha))
(+.f64 1/2 (+.f64 (*.f64 1/4 alpha) (*.f64 -1/8 (pow.f64 alpha 2))))
(+.f64 1/2 (fma.f64 1/4 alpha (*.f64 -1/8 (*.f64 alpha alpha))))
(+.f64 1/2 (fma.f64 1/4 alpha (*.f64 alpha (*.f64 alpha -1/8))))
(+.f64 1/2 (+.f64 (*.f64 1/4 alpha) (+.f64 (*.f64 -1/8 (pow.f64 alpha 2)) (*.f64 1/16 (pow.f64 alpha 3)))))
(+.f64 1/2 (fma.f64 1/4 alpha (fma.f64 -1/8 (*.f64 alpha alpha) (*.f64 1/16 (pow.f64 alpha 3)))))
1
(-.f64 1 (/.f64 1 alpha))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (/.f64 1 alpha))
(-.f64 (+.f64 1 (/.f64 2 (*.f64 alpha alpha))) (/.f64 1 alpha))
(+.f64 (/.f64 2 (*.f64 alpha alpha)) (-.f64 1 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 4 (pow.f64 alpha 3)))))
(-.f64 (+.f64 (/.f64 2 (*.f64 alpha alpha)) (-.f64 1 (/.f64 1 alpha))) (/.f64 4 (pow.f64 alpha 3)))
1
(-.f64 1 (/.f64 1 alpha))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (/.f64 1 alpha))
(-.f64 (+.f64 1 (/.f64 2 (*.f64 alpha alpha))) (/.f64 1 alpha))
(+.f64 (/.f64 2 (*.f64 alpha alpha)) (-.f64 1 (/.f64 1 alpha)))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)))
(+.f64 1 (-.f64 (/.f64 2 (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 4 (pow.f64 alpha 3)))))
(-.f64 (+.f64 (/.f64 2 (*.f64 alpha alpha)) (-.f64 1 (/.f64 1 alpha))) (/.f64 4 (pow.f64 alpha 3)))
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(*.f64 1/6 (/.f64 (+.f64 1 beta) (+.f64 2 beta)))
(/.f64 1/6 (/.f64 (+.f64 2 beta) (+.f64 1 beta)))
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))) alpha) (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(fma.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 1 beta) (+.f64 2 beta))) (*.f64 -1/36 (/.f64 (*.f64 (fma.f64 2 (+.f64 beta 5) (+.f64 (*.f64 beta 3) 6)) (+.f64 1 beta)) (pow.f64 (+.f64 2 beta) 2)))) alpha (*.f64 1/6 (/.f64 (+.f64 1 beta) (+.f64 2 beta))))
(fma.f64 (fma.f64 1/6 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (/.f64 (*.f64 -1/36 (+.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 2 (+.f64 beta 5) (+.f64 6 (*.f64 3 beta)))))) alpha (/.f64 1/6 (/.f64 (+.f64 2 beta) (+.f64 1 beta))))
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))) alpha) (+.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (+.f64 beta 2)))) (pow.f64 alpha 2)))))
(fma.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 1 beta) (+.f64 2 beta))) (*.f64 -1/36 (/.f64 (*.f64 (fma.f64 2 (+.f64 beta 5) (+.f64 (*.f64 beta 3) 6)) (+.f64 1 beta)) (pow.f64 (+.f64 2 beta) 2)))) alpha (fma.f64 1/6 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (neg.f64 (*.f64 (*.f64 alpha alpha) (fma.f64 1/36 (/.f64 (*.f64 (+.f64 beta 7) (+.f64 1 beta)) (pow.f64 (+.f64 2 beta) 2)) (*.f64 1/6 (/.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 1 beta) (+.f64 2 beta))) (*.f64 -1/36 (/.f64 (*.f64 (fma.f64 2 (+.f64 beta 5) (+.f64 (*.f64 beta 3) 6)) (+.f64 1 beta)) (pow.f64 (+.f64 2 beta) 2)))) (/.f64 (+.f64 2 beta) (fma.f64 2 (+.f64 beta 5) (+.f64 (*.f64 beta 3) 6))))))))))
(fma.f64 (fma.f64 1/6 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (/.f64 (*.f64 -1/36 (+.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 2 (+.f64 beta 5) (+.f64 6 (*.f64 3 beta)))))) alpha (fma.f64 1/6 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (*.f64 (*.f64 alpha (neg.f64 alpha)) (fma.f64 1/36 (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 2 beta) 2)) (+.f64 beta 7)) (*.f64 1/6 (*.f64 (/.f64 (fma.f64 1/6 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (/.f64 (*.f64 -1/36 (+.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 2 (+.f64 beta 5) (+.f64 6 (*.f64 3 beta)))))) (+.f64 2 beta)) (fma.f64 2 (+.f64 beta 5) (+.f64 6 (*.f64 3 beta)))))))))
(+.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))) alpha) (+.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 1/36 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 beta 7) (-.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 2))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (+.f64 beta 2)))) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (+.f64 beta 2))))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 1/36 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (*.f64 2 (+.f64 beta 5)) (*.f64 3 (+.f64 beta 2)))) (+.f64 beta 2)))) (pow.f64 alpha 2))))))
(fma.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 1 beta) (+.f64 2 beta))) (*.f64 -1/36 (/.f64 (*.f64 (fma.f64 2 (+.f64 beta 5) (+.f64 (*.f64 beta 3) 6)) (+.f64 1 beta)) (pow.f64 (+.f64 2 beta) 2)))) alpha (fma.f64 1/6 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (*.f64 -1 (+.f64 (*.f64 (pow.f64 alpha 3) (fma.f64 1/36 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 1/6 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 1 beta) (+.f64 2 beta))) (*.f64 -1/36 (/.f64 (*.f64 (fma.f64 2 (+.f64 beta 5) (+.f64 (*.f64 beta 3) 6)) (+.f64 1 beta)) (pow.f64 (+.f64 2 beta) 2)))) (+.f64 beta 7)) (+.f64 2 beta)) (*.f64 -1/6 (/.f64 (fma.f64 1/36 (/.f64 (*.f64 (+.f64 beta 7) (+.f64 1 beta)) (pow.f64 (+.f64 2 beta) 2)) (*.f64 1/6 (/.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 1 beta) (+.f64 2 beta))) (*.f64 -1/36 (/.f64 (*.f64 (fma.f64 2 (+.f64 beta 5) (+.f64 (*.f64 beta 3) 6)) (+.f64 1 beta)) (pow.f64 (+.f64 2 beta) 2)))) (/.f64 (+.f64 2 beta) (fma.f64 2 (+.f64 beta 5) (+.f64 (*.f64 beta 3) 6)))))) (/.f64 (+.f64 2 beta) (fma.f64 2 (+.f64 beta 5) (+.f64 (*.f64 beta 3) 6)))))))) (*.f64 (*.f64 alpha alpha) (fma.f64 1/36 (/.f64 (*.f64 (+.f64 beta 7) (+.f64 1 beta)) (pow.f64 (+.f64 2 beta) 2)) (*.f64 1/6 (/.f64 (+.f64 (*.f64 1/6 (/.f64 (+.f64 1 beta) (+.f64 2 beta))) (*.f64 -1/36 (/.f64 (*.f64 (fma.f64 2 (+.f64 beta 5) (+.f64 (*.f64 beta 3) 6)) (+.f64 1 beta)) (pow.f64 (+.f64 2 beta) 2)))) (/.f64 (+.f64 2 beta) (fma.f64 2 (+.f64 beta 5) (+.f64 (*.f64 beta 3) 6)))))))))))
(fma.f64 (fma.f64 1/6 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (/.f64 (*.f64 -1/36 (+.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 2 (+.f64 beta 5) (+.f64 6 (*.f64 3 beta)))))) alpha (fma.f64 1/6 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (*.f64 -1 (+.f64 (*.f64 alpha (*.f64 alpha (fma.f64 1/36 (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 2 beta) 2)) (+.f64 beta 7)) (*.f64 1/6 (*.f64 (/.f64 (fma.f64 1/6 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (/.f64 (*.f64 -1/36 (+.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 2 (+.f64 beta 5) (+.f64 6 (*.f64 3 beta)))))) (+.f64 2 beta)) (fma.f64 2 (+.f64 beta 5) (+.f64 6 (*.f64 3 beta)))))))) (*.f64 (pow.f64 alpha 3) (fma.f64 1/36 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 2 beta) 2)) (fma.f64 1/6 (*.f64 (/.f64 (+.f64 beta 7) (+.f64 2 beta)) (fma.f64 1/6 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (/.f64 (*.f64 -1/36 (+.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 2 (+.f64 beta 5) (+.f64 6 (*.f64 3 beta))))))) (/.f64 (*.f64 -1/6 (*.f64 (fma.f64 2 (+.f64 beta 5) (+.f64 6 (*.f64 3 beta))) (fma.f64 1/36 (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 2 beta) 2)) (+.f64 beta 7)) (*.f64 1/6 (*.f64 (/.f64 (fma.f64 1/6 (/.f64 (+.f64 1 beta) (+.f64 2 beta)) (/.f64 (*.f64 -1/36 (+.f64 1 beta)) (/.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 2 (+.f64 beta 5) (+.f64 6 (*.f64 3 beta)))))) (+.f64 2 beta)) (fma.f64 2 (+.f64 beta 5) (+.f64 6 (*.f64 3 beta)))))))) (+.f64 2 beta)))))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 1 beta) (*.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 7)) (pow.f64 alpha 3)))
(+.f64 (/.f64 beta (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3)))) (/.f64 (*.f64 (+.f64 beta 7) (+.f64 1 beta)) (pow.f64 alpha 3))))
(+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 beta (*.f64 alpha alpha))) (-.f64 (/.f64 1 (pow.f64 alpha 3)) (*.f64 (/.f64 (+.f64 1 beta) (pow.f64 alpha 3)) (+.f64 beta 7)))))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 7))) (+.f64 beta 7)) (*.f64 (+.f64 beta 1) (+.f64 6 (*.f64 5 (+.f64 beta 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 7)) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 (-.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 7) (+.f64 1 beta))) (+.f64 beta 7) (*.f64 (+.f64 6 (+.f64 (*.f64 5 beta) 10)) (+.f64 1 beta))) (pow.f64 alpha 4)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (*.f64 (+.f64 beta 7) (+.f64 1 beta)) (pow.f64 alpha 3)))
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1/6
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(/.f64 1 (*.f64 (/.f64 (-.f64 -2 alpha) (-.f64 -1 alpha)) (+.f64 alpha 3)))
(neg.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (-.f64 -3 alpha)))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (/.f64 -1 (-.f64 -3 alpha)))
(/.f64 (neg.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2))) (-.f64 -3 alpha))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (-.f64 -3 alpha)) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (-.f64 -3 alpha) (+.f64 alpha 2))) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 alpha 2) (-.f64 -3 alpha))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (-.f64 -3 alpha))))
(/.f64 (-.f64 -1 alpha) (*.f64 (-.f64 -3 alpha) (+.f64 alpha 2)))
(/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 alpha 2) (-.f64 -3 alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (-.f64 -3 alpha)))))
(/.f64 (-.f64 -1 alpha) (*.f64 (-.f64 -3 alpha) (+.f64 alpha 2)))
(/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 alpha 2) (-.f64 -3 alpha)))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (-.f64 -3 alpha)) 3))
(/.f64 (-.f64 -1 alpha) (*.f64 (-.f64 -3 alpha) (+.f64 alpha 2)))
(/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 alpha 2) (-.f64 -3 alpha)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) 3) (pow.f64 (+.f64 alpha 3) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) 3) (pow.f64 (+.f64 alpha 3) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (-.f64 -3 alpha))))
(/.f64 (-.f64 -1 alpha) (*.f64 (-.f64 -3 alpha) (+.f64 alpha 2)))
(/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 alpha 2) (-.f64 -3 alpha)))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (-.f64 -3 alpha))))
(/.f64 (-.f64 -1 alpha) (*.f64 (-.f64 -3 alpha) (+.f64 alpha 2)))
(/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 alpha 2) (-.f64 -3 alpha)))

eval1.6s (7.3%)

Compiler

Compiled 59988 to 43176 computations (28% saved)

prune526.0ms (2.4%)

Pruning

30 alts after pruning (25 fresh and 5 done)

PrunedKeptTotal
New1597141611
Fresh71118
Picked101
Done156
Total1606301636
Error
0b
Counts
1636 → 30
Alt Table
Click to see full alt table
StatusErrorProgram
34.8b
(pow.f64 beta -2)
3.2b
(/.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))))
26.3b
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
31.7b
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
0.4b
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 2 alpha)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) beta)))
3.9b
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
0.4b
(/.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))))
30.7b
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (/.f64 (+.f64 alpha 3) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))))
14.1b
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
32.4b
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
29.0b
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
28.2b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
33.7b
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta 1)) (*.f64 beta beta))
26.4b
(/.f64 (*.f64 (/.f64 1 (-.f64 -3 (+.f64 beta (*.f64 alpha 2)))) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3)))
45.9b
(/.f64 alpha (*.f64 beta beta))
32.6b
(/.f64 1 (*.f64 (/.f64 beta (/.f64 (+.f64 beta 1) beta)) (/.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 1 alpha))))
34.9b
(/.f64 1 (*.f64 beta beta))
55.6b
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
62.4b
(/.f64 1/2 alpha)
31.6b
(/.f64 1/6 (/.f64 (+.f64 2 beta) (+.f64 1 beta)))
33.4b
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
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))))
30.1b
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha)) (/.f64 1 (+.f64 2 alpha)))
27.3b
(*.f64 (/.f64 (/.f64 -1 (-.f64 -3 (+.f64 alpha beta))) (-.f64 -3 (+.f64 beta (*.f64 alpha 2)))) (-.f64 -1 alpha))
28.1b
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (*.f64 beta (+.f64 5 (*.f64 2 alpha))))) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
32.4b
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
31.0b
(*.f64 (/.f64 (+.f64 1/2 (*.f64 1/4 alpha)) (+.f64 3 alpha)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
3.9b
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
31.0b
(*.f64 (+.f64 1/6 (*.f64 alpha 1/36)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
31.6b
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
Compiler

Compiled 955 to 694 computations (27.3% saved)

localize55.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 134 to 86 computations (35.8% saved)

series22.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite74.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
530×add-sqr-sqrt
520×pow1
520×*-un-lft-identity
496×add-exp-log
496×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020166
1499154
Stop Event
node limit
Counts
4 → 150
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 2 alpha)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) beta)))
(*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 2 alpha))
(/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))
(*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) beta)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 beta) (*.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 beta) (/.f64 1 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))) (sqrt.f64 (/.f64 (+.f64 1 beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))) (*.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))) 2) (cbrt.f64 (/.f64 (+.f64 1 beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (neg.f64 beta)) (+.f64 2 (+.f64 beta alpha))) (/.f64 1 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 -2 (neg.f64 (+.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) (sqrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)))) 2)) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) 1) (/.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) (-.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) 2) (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta)) 2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (-.f64 (+.f64 2 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) 3) (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta)) 3))) (+.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) 2) (-.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta)) 2) (/.f64 (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 2 alpha)) (*.f64 beta (+.f64 beta (+.f64 alpha 3)))) (pow.f64 (+.f64 1 alpha) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)))) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)))) (/.f64 (cbrt.f64 (+.f64 1 beta)) (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))) (/.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (sqrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))) (/.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (sqrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)))) 2)) (/.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))) (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 beta (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 beta (+.f64 (neg.f64 (+.f64 beta alpha)) -3)) (+.f64 -1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -3) beta) (+.f64 -1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 3))) 1) (+.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 3))) (sqrt.f64 (+.f64 1 alpha))) (sqrt.f64 (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 3))) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2)) (cbrt.f64 (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 3)))) (+.f64 -1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))) beta))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 3)))) (log1p.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 3)))) (log1p.f64 alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta))))))))

simplify182.0ms (0.8%)

Algorithm
egg-herbie
Rules
1468×associate-*r*
1372×associate-*l*
1248×+-commutative
892×associate-+r+
852×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
086524384
1315324050
Stop Event
node limit
Counts
246 → 457
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 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 (pow.f64 (+.f64 1 alpha) 2) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)) (*.f64 (+.f64 (*.f64 2 (/.f64 alpha (+.f64 1 alpha))) (*.f64 5 (/.f64 1 (+.f64 1 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 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 (pow.f64 (+.f64 1 alpha) 2) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)) (*.f64 (+.f64 (*.f64 2 (/.f64 alpha (+.f64 1 alpha))) (*.f64 5 (/.f64 1 (+.f64 1 alpha)))) (+.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (*.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 (pow.f64 (+.f64 1 alpha) 2) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)) (*.f64 (+.f64 (*.f64 2 (/.f64 alpha (+.f64 1 alpha))) (*.f64 5 (/.f64 1 (+.f64 1 alpha)))) (+.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)) (*.f64 (+.f64 (*.f64 2 (/.f64 alpha (+.f64 1 alpha))) (*.f64 5 (/.f64 1 (+.f64 1 alpha)))) (+.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (pow.f64 (+.f64 1 alpha) 2) (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (+.f64 (*.f64 2 (/.f64 alpha (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (*.f64 4 (/.f64 1 (+.f64 1 alpha))))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))))))
(+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.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 (/.f64 (*.f64 (+.f64 1 alpha) (*.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 (pow.f64 (+.f64 1 alpha) 2) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)) (*.f64 (+.f64 (*.f64 2 (/.f64 alpha (+.f64 1 alpha))) (*.f64 5 (/.f64 1 (+.f64 1 alpha)))) (+.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (+.f64 (*.f64 2 (/.f64 alpha (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (*.f64 4 (/.f64 1 (+.f64 1 alpha)))))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (*.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 (pow.f64 (+.f64 1 alpha) 2) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)) (*.f64 (+.f64 (*.f64 2 (/.f64 alpha (+.f64 1 alpha))) (*.f64 5 (/.f64 1 (+.f64 1 alpha)))) (+.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)) (*.f64 (+.f64 (*.f64 2 (/.f64 alpha (+.f64 1 alpha))) (*.f64 5 (/.f64 1 (+.f64 1 alpha)))) (+.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (pow.f64 (+.f64 1 alpha) 2) (+.f64 (*.f64 2 (/.f64 alpha (+.f64 1 alpha))) (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (*.f64 4 (/.f64 1 (+.f64 1 alpha))))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)) (*.f64 (+.f64 (*.f64 2 (/.f64 alpha (+.f64 1 alpha))) (*.f64 5 (/.f64 1 (+.f64 1 alpha)))) (+.f64 2 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 (pow.f64 (+.f64 1 alpha) 2) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)) (*.f64 (+.f64 (*.f64 2 (/.f64 alpha (+.f64 1 alpha))) (*.f64 5 (/.f64 1 (+.f64 1 alpha)))) (+.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (*.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 (pow.f64 (+.f64 1 alpha) 2) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)) (*.f64 (+.f64 (*.f64 2 (/.f64 alpha (+.f64 1 alpha))) (*.f64 5 (/.f64 1 (+.f64 1 alpha)))) (+.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)) (*.f64 (+.f64 (*.f64 2 (/.f64 alpha (+.f64 1 alpha))) (*.f64 5 (/.f64 1 (+.f64 1 alpha)))) (+.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (pow.f64 (+.f64 1 alpha) 2) (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (+.f64 (*.f64 2 (/.f64 alpha (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (*.f64 4 (/.f64 1 (+.f64 1 alpha))))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))))))))
(/.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 (pow.f64 (+.f64 1 alpha) 2) (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (+.f64 (*.f64 2 (/.f64 alpha (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (*.f64 4 (/.f64 1 (+.f64 1 alpha))))))) (pow.f64 beta 3)))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (-.f64 (+.f64 beta (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2))) 1))) (+.f64 beta 1)) (pow.f64 alpha 3))))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (-.f64 (+.f64 beta (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2))) 1)))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (-.f64 (+.f64 beta (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2))) 1))) 2) (+.f64 beta 1))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (-.f64 (+.f64 beta (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2))) 1) (+.f64 beta 2)) (*.f64 -1 (-.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (*.f64 beta (+.f64 beta 3)))) (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) 1)))))))) (pow.f64 alpha 4))))))
(+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (-.f64 (+.f64 beta (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2))) 1)))) (pow.f64 alpha 3)) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (-.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) 1)))) (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (*.f64 beta (+.f64 beta 3))) (*.f64 -1 beta))) (*.f64 (+.f64 beta 2) (-.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (*.f64 beta (+.f64 beta 3)))) (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) 1)))))))) (pow.f64 alpha 5)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (-.f64 (+.f64 beta (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2))) 1))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (-.f64 (+.f64 beta (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2))) 1) (+.f64 beta 2)) (*.f64 -1 (-.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (*.f64 beta (+.f64 beta 3)))) (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) 1)))))))) (pow.f64 alpha 5))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (-.f64 (+.f64 beta (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2))) 1))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (-.f64 (+.f64 beta (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2))) 1))) 2) (+.f64 beta 1))) (*.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2))) 1) (+.f64 beta 2)) (*.f64 -1 (-.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (*.f64 beta (+.f64 beta 3)))) (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) 1)))))) (+.f64 beta 1)))) (pow.f64 alpha 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (-.f64 (+.f64 beta (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2))) 1))) 2) (+.f64 beta 1))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (-.f64 (+.f64 beta (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2))) 1) (+.f64 beta 2)) (*.f64 -1 (-.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (*.f64 beta (+.f64 beta 3)))) (+.f64 (*.f64 -1 beta) (*.f64 -1 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) 1)))))))) (pow.f64 alpha 4)))))))))
(/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha))
(+.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 (+.f64 1 alpha))) (/.f64 alpha (+.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)))
(+.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 (+.f64 1 alpha))) (/.f64 alpha (+.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)))
(+.f64 (*.f64 beta (+.f64 (*.f64 2 (/.f64 1 (+.f64 1 alpha))) (/.f64 alpha (+.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)))
(/.f64 (*.f64 beta (+.f64 2 alpha)) (+.f64 1 alpha))
(+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)) (/.f64 (*.f64 beta (+.f64 2 alpha)) (+.f64 1 alpha)))
(+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)) (/.f64 (*.f64 beta (+.f64 2 alpha)) (+.f64 1 alpha)))
(+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)) (/.f64 (*.f64 beta (+.f64 2 alpha)) (+.f64 1 alpha)))
(/.f64 (*.f64 beta (+.f64 2 alpha)) (+.f64 1 alpha))
(+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)) (/.f64 (*.f64 beta (+.f64 2 alpha)) (+.f64 1 alpha)))
(+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)) (/.f64 (*.f64 beta (+.f64 2 alpha)) (+.f64 1 alpha)))
(+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)) (/.f64 (*.f64 beta (+.f64 2 alpha)) (+.f64 1 alpha)))
(*.f64 2 (+.f64 beta 3))
(+.f64 (*.f64 (-.f64 (+.f64 beta 5) (*.f64 2 (+.f64 beta 3))) alpha) (*.f64 2 (+.f64 beta 3)))
(+.f64 (*.f64 (-.f64 (+.f64 beta 5) (*.f64 2 (+.f64 beta 3))) alpha) (+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 beta 3)) (+.f64 beta 4)) (pow.f64 alpha 2)) (*.f64 2 (+.f64 beta 3))))
(+.f64 (*.f64 (-.f64 (+.f64 beta 5) (*.f64 2 (+.f64 beta 3))) alpha) (+.f64 (*.f64 (pow.f64 alpha 3) (-.f64 (+.f64 beta 4) (*.f64 2 (+.f64 beta 3)))) (+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 beta 3)) (+.f64 beta 4)) (pow.f64 alpha 2)) (*.f64 2 (+.f64 beta 3)))))
alpha
(+.f64 beta (+.f64 4 alpha))
(-.f64 (+.f64 beta (+.f64 4 (+.f64 alpha (*.f64 2 (/.f64 (+.f64 beta 3) alpha))))) (+.f64 (/.f64 beta alpha) (*.f64 4 (/.f64 1 alpha))))
(-.f64 (+.f64 beta (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 4 (+.f64 alpha (+.f64 (*.f64 2 (/.f64 (+.f64 beta 3) alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 alpha)))))
alpha
(-.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) alpha) 1)
(-.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) 1))) alpha)) alpha)) 1)
(-.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) 1))) alpha)) alpha))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) 1) (pow.f64 alpha 2)))))
(/.f64 (+.f64 3 alpha) (+.f64 1 alpha))
(+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(/.f64 beta (+.f64 1 alpha))
(+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(/.f64 beta (+.f64 1 alpha))
(+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 beta 3)
(+.f64 (*.f64 -1 (*.f64 (+.f64 beta 2) alpha)) (+.f64 beta 3))
(+.f64 (*.f64 -1 (*.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (+.f64 beta 3)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (+.f64 beta (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 2) (pow.f64 alpha 3))) 3))))
1
(+.f64 1 (+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))))
(+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 3))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (+.f64 beta 3))) alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (+.f64 beta 3))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (+.f64 beta 3))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 3)))))))
(/.f64 (*.f64 beta (+.f64 3 alpha)) (+.f64 1 alpha))
(+.f64 (/.f64 (*.f64 beta (+.f64 3 alpha)) (+.f64 1 alpha)) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha)))
(+.f64 (/.f64 (*.f64 beta (+.f64 3 alpha)) (+.f64 1 alpha)) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha)))
(+.f64 (/.f64 (*.f64 beta (+.f64 3 alpha)) (+.f64 1 alpha)) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha)))
(/.f64 (pow.f64 beta 2) (+.f64 1 alpha))
(+.f64 (*.f64 beta (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (/.f64 alpha (+.f64 1 alpha)))) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha)))
(+.f64 (*.f64 beta (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (/.f64 alpha (+.f64 1 alpha)))) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha)))
(+.f64 (*.f64 beta (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (/.f64 alpha (+.f64 1 alpha)))) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha)))
(/.f64 (pow.f64 beta 2) (+.f64 1 alpha))
(+.f64 (*.f64 beta (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (/.f64 alpha (+.f64 1 alpha)))) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha)))
(+.f64 (*.f64 beta (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (/.f64 alpha (+.f64 1 alpha)))) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha)))
(+.f64 (*.f64 beta (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (/.f64 alpha (+.f64 1 alpha)))) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha)))
(*.f64 beta (+.f64 beta 3))
(+.f64 (*.f64 (-.f64 beta (*.f64 beta (+.f64 beta 3))) alpha) (*.f64 beta (+.f64 beta 3)))
(+.f64 (*.f64 (-.f64 beta (*.f64 beta (+.f64 beta 3))) alpha) (+.f64 (*.f64 beta (+.f64 beta 3)) (*.f64 (-.f64 (*.f64 beta (+.f64 beta 3)) beta) (pow.f64 alpha 2))))
(+.f64 (*.f64 (-.f64 beta (*.f64 beta (+.f64 beta 3))) alpha) (+.f64 (*.f64 (-.f64 beta (*.f64 beta (+.f64 beta 3))) (pow.f64 alpha 3)) (+.f64 (*.f64 beta (+.f64 beta 3)) (*.f64 (-.f64 (*.f64 beta (+.f64 beta 3)) beta) (pow.f64 alpha 2)))))
beta
(-.f64 (+.f64 beta (/.f64 (*.f64 beta (+.f64 beta 3)) alpha)) (/.f64 beta alpha))
(-.f64 (+.f64 beta (+.f64 (/.f64 (*.f64 beta (+.f64 beta 3)) alpha) (/.f64 beta (pow.f64 alpha 2)))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (+.f64 beta 3)) (pow.f64 alpha 2))))
(-.f64 (+.f64 beta (+.f64 (/.f64 (*.f64 beta (+.f64 beta 3)) alpha) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 3)) (pow.f64 alpha 3)) (/.f64 beta (pow.f64 alpha 2))))) (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (+.f64 beta 3)) (pow.f64 alpha 2)))))
beta
(+.f64 beta (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 beta (+.f64 beta 3))) (*.f64 -1 beta)) alpha)))
(-.f64 (+.f64 beta (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 3)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 beta (+.f64 beta 3))) (*.f64 -1 beta)) alpha)))) (*.f64 -1 (/.f64 beta (pow.f64 alpha 2))))
(-.f64 (+.f64 beta (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 3)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 beta (+.f64 beta 3))) (*.f64 -1 beta)) alpha)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 beta (+.f64 beta 3))) (*.f64 -1 beta)) (pow.f64 alpha 3)))))) (*.f64 -1 (/.f64 beta (pow.f64 alpha 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))))) 1)
(*.f64 1 (/.f64 (+.f64 1 beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))))
(*.f64 (+.f64 1 beta) (*.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (+.f64 1 beta) (/.f64 1 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 2 (+.f64 beta alpha))))
(*.f64 (/.f64 (+.f64 1 beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))) 1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))) (sqrt.f64 (/.f64 (+.f64 1 beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))) (*.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))) 2) (cbrt.f64 (/.f64 (+.f64 1 beta) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha))))
(*.f64 (/.f64 (+.f64 -1 (neg.f64 beta)) (+.f64 2 (+.f64 beta alpha))) (/.f64 1 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 -2 (neg.f64 (+.f64 beta alpha))))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) (sqrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)))) 2)) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))) (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))))
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(/.f64 (neg.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 3)))) (+.f64 -1 (neg.f64 alpha)))
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))) beta))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta)) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta))))
(exp.f64 (-.f64 (log.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 3)))) (log1p.f64 alpha)))
(exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 3)))) (log1p.f64 alpha)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta))))
Outputs
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3))
(+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 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 (pow.f64 (+.f64 1 alpha) 2) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)) (*.f64 (+.f64 (*.f64 2 (/.f64 alpha (+.f64 1 alpha))) (*.f64 5 (/.f64 1 (+.f64 1 alpha)))) (+.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))))
(+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (*.f64 beta (-.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3))) (*.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 2) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (*.f64 (+.f64 alpha 2) (fma.f64 2 (/.f64 alpha (+.f64 1 alpha)) (/.f64 5 (+.f64 1 alpha))))) (pow.f64 (+.f64 alpha 3) 2)))))))
(+.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3))) (*.f64 beta (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (*.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 2) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (*.f64 (+.f64 alpha 2) (fma.f64 2 (/.f64 alpha (+.f64 1 alpha)) (/.f64 5 (+.f64 1 alpha))))) (pow.f64 (+.f64 alpha 3) 2)))))))
(+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.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 (pow.f64 (+.f64 1 alpha) 2) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)) (*.f64 (+.f64 (*.f64 2 (/.f64 alpha (+.f64 1 alpha))) (*.f64 5 (/.f64 1 (+.f64 1 alpha)))) (+.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (*.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 (pow.f64 (+.f64 1 alpha) 2) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)) (*.f64 (+.f64 (*.f64 2 (/.f64 alpha (+.f64 1 alpha))) (*.f64 5 (/.f64 1 (+.f64 1 alpha)))) (+.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha)) (*.f64 (+.f64 (*.f64 2 (/.f64 alpha (+.f64 1 alpha))) (*.f64 5 (/.f64 1 (+.f64 1 alpha)))) (+.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (pow.f64 (+.f64 1 alpha) 2) (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (+.f64 (*.f64 2 (/.f64 alpha (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (*.f64 4 (/.f64 1 (+.f64 1 alpha))))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))))))
(+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (fma.f64 beta (-.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3))) (*.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 2) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (*.f64 (+.f64 alpha 2) (fma.f64 2 (/.f64 alpha (+.f64 1 alpha)) (/.f64 5 (+.f64 1 alpha))))) (pow.f64 (+.f64 alpha 3) 2)))) (neg.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (*.f64 (+.f64 alpha 2) (fma.f64 2 (/.f64 alpha (+.f64 1 alpha)) (/.f64 5 (+.f64 1 alpha))))) (-.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3))) (*.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 2) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (*.f64 (+.f64 alpha 2) (fma.f64 2 (/.f64 alpha (+.f64 1 alpha)) (/.f64 5 (+.f64 1 alpha))))) (pow.f64 (+.f64 alpha 3) 2)))))) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (/.f64 (*.f64 (pow.f64 (+.f64 1 alpha) 2) (+.f64 (/.f64 3 (+.f64 1 alpha)) (fma.f64 2 (/.f64 alpha (+.f64 1 alpha)) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 4 (+.f64 1 alpha)))))) (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2)))))))))
(+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (+.f64 (fma.f64 beta (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (*.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 2) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (*.f64 (+.f64 alpha 2) (fma.f64 2 (/.f64 alpha (+.f64 1 alpha)) (/.f64 5 (+.f64 1 alpha))))) (pow.f64 (+.f64 alpha 3) 2))))) (*.f64 (*.f64 (neg.f64 beta) beta) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (*.f64 (+.f64 alpha 2) (fma.f64 2 (/.f64 alpha (+.f64 1 alpha)) (/.f64 5 (+.f64 1 alpha))))) (*.f64 (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (*.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 2) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 (/.f64 (+.f64 alpha 2) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (*.f64 (+.f64 alpha 2) (fma.f64 2 (/.f64 alpha (+.f64 1 alpha)) (/.f64 5 (+.f64 1 alpha))))) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 1 alpha))) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (*.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 2) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (fma.f64 2 (/.f64 alpha (+.f64 1 alpha)) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (+.f64 (/.f64 3 (+.f64 1 alpha)) (/.f64 4 (+.f64 1 alpha))))) (pow.f64 (+.f64 alpha 3) 2)))))) (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))))
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(fma.f64 (+.f64 (+.f64 beta 5) (+.f64 (*.f64 -2 beta) -6)) alpha (fma.f64 (-.f64 (*.f64 2 (+.f64 3 beta)) (+.f64 beta 4)) (*.f64 alpha alpha) (*.f64 2 (+.f64 3 beta))))
(fma.f64 (+.f64 beta (-.f64 -1 (*.f64 2 beta))) alpha (fma.f64 (+.f64 (*.f64 2 beta) (-.f64 6 (+.f64 beta 4))) (*.f64 alpha alpha) (+.f64 (*.f64 2 beta) 6)))
(+.f64 (*.f64 (-.f64 (+.f64 beta 5) (*.f64 2 (+.f64 beta 3))) alpha) (+.f64 (*.f64 (pow.f64 alpha 3) (-.f64 (+.f64 beta 4) (*.f64 2 (+.f64 beta 3)))) (+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 beta 3)) (+.f64 beta 4)) (pow.f64 alpha 2)) (*.f64 2 (+.f64 beta 3)))))
(fma.f64 (+.f64 (+.f64 beta 5) (+.f64 (*.f64 -2 beta) -6)) alpha (fma.f64 (pow.f64 alpha 3) (-.f64 (+.f64 beta 4) (*.f64 2 (+.f64 3 beta))) (fma.f64 (-.f64 (*.f64 2 (+.f64 3 beta)) (+.f64 beta 4)) (*.f64 alpha alpha) (*.f64 2 (+.f64 3 beta)))))
(fma.f64 (+.f64 beta (-.f64 -1 (*.f64 2 beta))) alpha (fma.f64 (pow.f64 alpha 3) (+.f64 beta (-.f64 -2 (*.f64 2 beta))) (fma.f64 (+.f64 (*.f64 2 beta) (-.f64 6 (+.f64 beta 4))) (*.f64 alpha alpha) (+.f64 (*.f64 2 beta) 6))))
alpha
(+.f64 beta (+.f64 4 alpha))
(+.f64 beta (+.f64 alpha 4))
(+.f64 alpha (+.f64 beta 4))
(-.f64 (+.f64 beta (+.f64 4 (+.f64 alpha (*.f64 2 (/.f64 (+.f64 beta 3) alpha))))) (+.f64 (/.f64 beta alpha) (*.f64 4 (/.f64 1 alpha))))
(-.f64 (+.f64 beta (+.f64 4 (+.f64 alpha (*.f64 2 (/.f64 (+.f64 3 beta) alpha))))) (+.f64 (/.f64 beta alpha) (/.f64 4 alpha)))
(+.f64 beta (-.f64 (+.f64 alpha (+.f64 (*.f64 2 (/.f64 (+.f64 3 beta) alpha)) 4)) (+.f64 (/.f64 beta alpha) (/.f64 4 alpha))))
(-.f64 (+.f64 beta (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 4 (+.f64 alpha (+.f64 (*.f64 2 (/.f64 (+.f64 beta 3) alpha)) (*.f64 4 (/.f64 1 (pow.f64 alpha 2)))))))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (*.f64 4 (/.f64 1 alpha)))))
(+.f64 beta (-.f64 (+.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 4 (+.f64 alpha (fma.f64 2 (/.f64 (+.f64 3 beta) alpha) (/.f64 4 (*.f64 alpha alpha)))))) (+.f64 (/.f64 beta alpha) (fma.f64 2 (/.f64 (+.f64 3 beta) (*.f64 alpha alpha)) (/.f64 4 alpha)))))
(-.f64 (+.f64 (+.f64 (+.f64 alpha 4) (fma.f64 2 (/.f64 (+.f64 3 beta) alpha) (/.f64 4 (*.f64 alpha alpha)))) (+.f64 beta (/.f64 beta (*.f64 alpha alpha)))) (+.f64 (/.f64 beta alpha) (fma.f64 2 (/.f64 (+.f64 3 beta) (*.f64 alpha alpha)) (/.f64 4 alpha))))
alpha
(-.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) alpha) 1)
(+.f64 (fma.f64 -1 (fma.f64 -1 (+.f64 3 beta) -2) alpha) -1)
(+.f64 alpha (fma.f64 -1 (+.f64 (neg.f64 beta) -5) -1))
(-.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) 1))) alpha)) alpha)) 1)
(+.f64 (fma.f64 -1 (fma.f64 -1 (+.f64 3 beta) -2) (fma.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -2 beta) -6) (neg.f64 (fma.f64 -1 (fma.f64 -1 (+.f64 3 beta) -2) -1))) alpha) alpha)) -1)
(+.f64 (fma.f64 -1 (/.f64 (+.f64 (*.f64 -2 beta) (-.f64 -6 (neg.f64 (fma.f64 -1 (+.f64 (neg.f64 beta) -5) -1)))) alpha) alpha) (fma.f64 -1 (+.f64 (neg.f64 beta) -5) -1))
(-.f64 (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) 1))) alpha)) alpha))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 3)) 2)) 1) (pow.f64 alpha 2)))))
(-.f64 (fma.f64 -1 (fma.f64 -1 (+.f64 3 beta) -2) (fma.f64 -2 (/.f64 (+.f64 3 beta) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 -2 beta) -6) (neg.f64 (fma.f64 -1 (fma.f64 -1 (+.f64 3 beta) -2) -1))) alpha) alpha))) (+.f64 1 (/.f64 (neg.f64 (fma.f64 -1 (fma.f64 -1 (+.f64 3 beta) -2) -1)) (*.f64 alpha alpha))))
(-.f64 (+.f64 (fma.f64 -2 (/.f64 (+.f64 3 beta) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (+.f64 (*.f64 -2 beta) (-.f64 -6 (neg.f64 (fma.f64 -1 (+.f64 (neg.f64 beta) -5) -1)))) alpha) alpha)) (fma.f64 -1 (+.f64 (neg.f64 beta) -5) -1)) (/.f64 (neg.f64 (fma.f64 -1 (+.f64 (neg.f64 beta) -5) -1)) (*.f64 alpha alpha)))
(/.f64 (+.f64 3 alpha) (+.f64 1 alpha))
(/.f64 (+.f64 alpha 3) (+.f64 1 alpha))
(+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 3 (+.f64 1 alpha)) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 alpha (+.f64 1 alpha)) (+.f64 (/.f64 3 (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 3 (+.f64 1 alpha)) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 alpha (+.f64 1 alpha)) (+.f64 (/.f64 3 (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 3 (+.f64 1 alpha)) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 alpha (+.f64 1 alpha)) (+.f64 (/.f64 3 (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(/.f64 beta (+.f64 1 alpha))
(+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 3 (+.f64 1 alpha)) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 alpha (+.f64 1 alpha)) (+.f64 (/.f64 3 (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 3 (+.f64 1 alpha)) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 alpha (+.f64 1 alpha)) (+.f64 (/.f64 3 (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 3 (+.f64 1 alpha)) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 alpha (+.f64 1 alpha)) (+.f64 (/.f64 3 (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(/.f64 beta (+.f64 1 alpha))
(+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 3 (+.f64 1 alpha)) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 alpha (+.f64 1 alpha)) (+.f64 (/.f64 3 (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 3 (+.f64 1 alpha)) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 alpha (+.f64 1 alpha)) (+.f64 (/.f64 3 (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 3 (+.f64 1 alpha)) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 (/.f64 alpha (+.f64 1 alpha)) (+.f64 (/.f64 3 (+.f64 1 alpha)) (/.f64 beta (+.f64 1 alpha))))
(+.f64 beta 3)
(+.f64 3 beta)
(+.f64 (*.f64 -1 (*.f64 (+.f64 beta 2) alpha)) (+.f64 beta 3))
(fma.f64 -1 (*.f64 alpha (+.f64 2 beta)) (+.f64 3 beta))
(+.f64 (*.f64 -1 (*.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (+.f64 beta 3)))
(fma.f64 -1 (*.f64 alpha (+.f64 2 beta)) (fma.f64 (+.f64 2 beta) (*.f64 alpha alpha) (+.f64 3 beta)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 beta 2) alpha)) (+.f64 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)) (+.f64 beta (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 2) (pow.f64 alpha 3))) 3))))
(fma.f64 -1 (*.f64 alpha (+.f64 2 beta)) (fma.f64 (+.f64 2 beta) (*.f64 alpha alpha) (+.f64 beta (fma.f64 -1 (*.f64 (+.f64 2 beta) (pow.f64 alpha 3)) 3))))
1
(+.f64 1 (+.f64 (/.f64 beta alpha) (*.f64 2 (/.f64 1 alpha))))
(+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 2 alpha)))
(+.f64 (/.f64 2 alpha) (+.f64 1 (/.f64 beta alpha)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))))
(+.f64 1 (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 beta alpha) (/.f64 (neg.f64 (+.f64 2 beta)) (*.f64 alpha alpha)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (+.f64 -2 (neg.f64 beta)) (*.f64 alpha alpha))))
(+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 alpha 3))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 alpha)) (+.f64 (/.f64 beta alpha) (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))))))
(+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (+.f64 1 (+.f64 (/.f64 2 alpha) (+.f64 (/.f64 beta alpha) (/.f64 (neg.f64 (+.f64 2 beta)) (*.f64 alpha alpha))))) (/.f64 2 (pow.f64 alpha 3))))
(+.f64 (+.f64 1 (+.f64 (+.f64 (/.f64 beta alpha) (/.f64 2 alpha)) (/.f64 (+.f64 -2 (neg.f64 beta)) (*.f64 alpha alpha)))) (+.f64 (/.f64 beta (pow.f64 alpha 3)) (/.f64 2 (pow.f64 alpha 3))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (+.f64 beta 3))) alpha)))
(+.f64 1 (neg.f64 (/.f64 (+.f64 1 (neg.f64 (+.f64 3 beta))) alpha)))
(+.f64 1 (neg.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (+.f64 beta 3))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 1 (neg.f64 (+.f64 3 beta))) alpha) (fma.f64 -1 (/.f64 (+.f64 3 beta) (*.f64 alpha alpha)) (/.f64 1 (*.f64 alpha alpha)))))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha) (fma.f64 -1 (/.f64 (+.f64 3 beta) (*.f64 alpha alpha)) (/.f64 1 (*.f64 alpha alpha)))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (+.f64 beta 3))) alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 3)))))))
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 1 (neg.f64 (+.f64 3 beta))) alpha) (+.f64 (fma.f64 -1 (/.f64 (+.f64 3 beta) (*.f64 alpha alpha)) (/.f64 1 (*.f64 alpha alpha))) (neg.f64 (/.f64 (+.f64 1 (neg.f64 (+.f64 3 beta))) (pow.f64 alpha 3))))))
(+.f64 1 (+.f64 (fma.f64 -1 (/.f64 (+.f64 -2 (neg.f64 beta)) alpha) (fma.f64 -1 (/.f64 (+.f64 3 beta) (*.f64 alpha alpha)) (/.f64 1 (*.f64 alpha alpha)))) (neg.f64 (/.f64 (+.f64 -2 (neg.f64 beta)) (pow.f64 alpha 3)))))
(/.f64 (*.f64 beta (+.f64 3 alpha)) (+.f64 1 alpha))
(/.f64 beta (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))
(+.f64 (/.f64 (*.f64 beta (+.f64 3 alpha)) (+.f64 1 alpha)) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha)))
(+.f64 (/.f64 beta (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (/.f64 (*.f64 beta beta) (+.f64 1 alpha)))
(+.f64 (/.f64 (*.f64 beta (+.f64 3 alpha)) (+.f64 1 alpha)) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha)))
(+.f64 (/.f64 beta (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (/.f64 (*.f64 beta beta) (+.f64 1 alpha)))
(+.f64 (/.f64 (*.f64 beta (+.f64 3 alpha)) (+.f64 1 alpha)) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha)))
(+.f64 (/.f64 beta (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (/.f64 (*.f64 beta beta) (+.f64 1 alpha)))
(/.f64 (pow.f64 beta 2) (+.f64 1 alpha))
(/.f64 (*.f64 beta beta) (+.f64 1 alpha))
(+.f64 (*.f64 beta (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (/.f64 alpha (+.f64 1 alpha)))) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha)))
(fma.f64 beta (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 3 (+.f64 1 alpha))) (/.f64 (*.f64 beta beta) (+.f64 1 alpha)))
(+.f64 (*.f64 beta (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (/.f64 alpha (+.f64 1 alpha)))) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha)))
(fma.f64 beta (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 3 (+.f64 1 alpha))) (/.f64 (*.f64 beta beta) (+.f64 1 alpha)))
(+.f64 (*.f64 beta (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (/.f64 alpha (+.f64 1 alpha)))) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha)))
(fma.f64 beta (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 3 (+.f64 1 alpha))) (/.f64 (*.f64 beta beta) (+.f64 1 alpha)))
(/.f64 (pow.f64 beta 2) (+.f64 1 alpha))
(/.f64 (*.f64 beta beta) (+.f64 1 alpha))
(+.f64 (*.f64 beta (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (/.f64 alpha (+.f64 1 alpha)))) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha)))
(fma.f64 beta (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 3 (+.f64 1 alpha))) (/.f64 (*.f64 beta beta) (+.f64 1 alpha)))
(+.f64 (*.f64 beta (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (/.f64 alpha (+.f64 1 alpha)))) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha)))
(fma.f64 beta (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 3 (+.f64 1 alpha))) (/.f64 (*.f64 beta beta) (+.f64 1 alpha)))
(+.f64 (*.f64 beta (+.f64 (*.f64 3 (/.f64 1 (+.f64 1 alpha))) (/.f64 alpha (+.f64 1 alpha)))) (/.f64 (pow.f64 beta 2) (+.f64 1 alpha)))
(fma.f64 beta (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 3 (+.f64 1 alpha))) (/.f64 (*.f64 beta beta) (+.f64 1 alpha)))
(*.f64 beta (+.f64 beta 3))
(*.f64 beta (+.f64 3 beta))
(+.f64 (*.f64 (-.f64 beta (*.f64 beta (+.f64 beta 3))) alpha) (*.f64 beta (+.f64 beta 3)))
(fma.f64 (-.f64 beta (*.f64 beta (+.f64 3 beta))) alpha (*.f64 beta (+.f64 3 beta)))
(+.f64 (*.f64 (-.f64 beta (*.f64 beta (+.f64 beta 3))) alpha) (+.f64 (*.f64 beta (+.f64 beta 3)) (*.f64 (-.f64 (*.f64 beta (+.f64 beta 3)) beta) (pow.f64 alpha 2))))
(fma.f64 (-.f64 beta (*.f64 beta (+.f64 3 beta))) alpha (fma.f64 beta (+.f64 3 beta) (*.f64 (*.f64 alpha alpha) (-.f64 (*.f64 beta (+.f64 3 beta)) beta))))
(fma.f64 (-.f64 beta (*.f64 beta (+.f64 3 beta))) alpha (fma.f64 beta (+.f64 3 beta) (*.f64 alpha (*.f64 alpha (-.f64 (*.f64 beta (+.f64 3 beta)) beta)))))
(+.f64 (*.f64 (-.f64 beta (*.f64 beta (+.f64 beta 3))) alpha) (+.f64 (*.f64 (-.f64 beta (*.f64 beta (+.f64 beta 3))) (pow.f64 alpha 3)) (+.f64 (*.f64 beta (+.f64 beta 3)) (*.f64 (-.f64 (*.f64 beta (+.f64 beta 3)) beta) (pow.f64 alpha 2)))))
(fma.f64 (-.f64 beta (*.f64 beta (+.f64 3 beta))) alpha (fma.f64 (-.f64 beta (*.f64 beta (+.f64 3 beta))) (pow.f64 alpha 3) (fma.f64 beta (+.f64 3 beta) (*.f64 (*.f64 alpha alpha) (-.f64 (*.f64 beta (+.f64 3 beta)) beta)))))
(fma.f64 (-.f64 beta (*.f64 beta (+.f64 3 beta))) alpha (fma.f64 (-.f64 beta (*.f64 beta (+.f64 3 beta))) (pow.f64 alpha 3) (fma.f64 beta (+.f64 3 beta) (*.f64 alpha (*.f64 alpha (-.f64 (*.f64 beta (+.f64 3 beta)) beta))))))
beta
(-.f64 (+.f64 beta (/.f64 (*.f64 beta (+.f64 beta 3)) alpha)) (/.f64 beta alpha))
(-.f64 (+.f64 beta (/.f64 (*.f64 beta (+.f64 3 beta)) alpha)) (/.f64 beta alpha))
(+.f64 beta (-.f64 (/.f64 beta (/.f64 alpha (+.f64 3 beta))) (/.f64 beta alpha)))
(-.f64 (+.f64 beta (+.f64 (/.f64 (*.f64 beta (+.f64 beta 3)) alpha) (/.f64 beta (pow.f64 alpha 2)))) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (+.f64 beta 3)) (pow.f64 alpha 2))))
(+.f64 beta (-.f64 (+.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta (+.f64 3 beta)) alpha)) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (+.f64 3 beta)) (*.f64 alpha alpha)))))
(+.f64 beta (+.f64 (/.f64 beta (*.f64 alpha alpha)) (-.f64 (/.f64 beta (/.f64 alpha (+.f64 3 beta))) (+.f64 (/.f64 beta alpha) (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 3 beta)))))))
(-.f64 (+.f64 beta (+.f64 (/.f64 (*.f64 beta (+.f64 beta 3)) alpha) (+.f64 (/.f64 (*.f64 beta (+.f64 beta 3)) (pow.f64 alpha 3)) (/.f64 beta (pow.f64 alpha 2))))) (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (+.f64 beta 3)) (pow.f64 alpha 2)))))
(-.f64 (+.f64 beta (+.f64 (/.f64 (*.f64 beta (+.f64 3 beta)) alpha) (+.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta (+.f64 3 beta)) (pow.f64 alpha 3))))) (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (/.f64 (*.f64 beta (+.f64 3 beta)) (*.f64 alpha alpha)))))
(+.f64 beta (+.f64 (+.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta (+.f64 3 beta)) (pow.f64 alpha 3))) (-.f64 (/.f64 beta (/.f64 alpha (+.f64 3 beta))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 beta (/.f64 (*.f64 alpha alpha) (+.f64 3 beta))) (/.f64 beta (pow.f64 alpha 3)))))))
beta
(+.f64 beta (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 beta (+.f64 beta 3))) (*.f64 -1 beta)) alpha)))
(+.f64 beta (/.f64 (neg.f64 (*.f64 -1 (-.f64 (*.f64 beta (+.f64 3 beta)) beta))) alpha))
(+.f64 beta (/.f64 (*.f64 1 (-.f64 (*.f64 beta (+.f64 3 beta)) beta)) alpha))
(-.f64 (+.f64 beta (+.f64 (*.f64 -1 (/.f64 (*.f64 beta (+.f64 beta 3)) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 beta (+.f64 beta 3))) (*.f64 -1 beta)) alpha)))) (*.f64 -1 (/.f64 beta (pow.f64 alpha 2))))
(+.f64 beta (-.f64 (*.f64 -1 (+.f64 (/.f64 (*.f64 beta (+.f64 3 beta)) (*.f64 alpha alpha)) (/.f64 (*.f64 -1 (-.f64 (*.f64 beta (+.f64 3 beta)) beta)) alpha))) (/.f64 (neg.f64 beta) (*.f64 alpha alpha))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2) (sqrt.f64 (+.f64 1 alpha))) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) (sqrt.f64 (+.f64 1 alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) 3)) 2) (sqrt.f64 (+.f64 1 alpha))) (/.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) 3)) (sqrt.f64 (+.f64 1 alpha))))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) (sqrt.f64 (+.f64 1 alpha))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2)) (sqrt.f64 (+.f64 1 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 1 alpha))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) 3)) 2) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2)) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2))
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) 1)
(/.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 1 alpha))
(/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))) 2)
(/.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 1 alpha))
(/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))) 3)
(/.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 1 alpha))
(/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))
(pow.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) 3) 1/3)
(/.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 1 alpha))
(/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))
(pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))) -1)
(/.f64 1 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 alpha beta) 3)))
(/.f64 1 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))))
(neg.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 -1 (neg.f64 alpha))))
(/.f64 (neg.f64 (+.f64 (+.f64 alpha beta) 3)) (-.f64 -1 alpha))
(/.f64 (neg.f64 (+.f64 alpha (+.f64 3 beta))) (-.f64 -1 alpha))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 1 alpha)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))
(/.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 1 alpha))
(/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)))))
(/.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 1 alpha))
(/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) 3))
(/.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 1 alpha))
(/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 3)) 3) (pow.f64 (+.f64 1 alpha) 3)))
(/.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 1 alpha))
(/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))
(/.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 1 alpha))
(/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))
(exp.f64 (-.f64 (log.f64 (+.f64 beta (+.f64 alpha 3))) (log1p.f64 alpha)))
(exp.f64 (-.f64 (log.f64 (+.f64 (+.f64 alpha beta) 3)) (log1p.f64 alpha)))
(exp.f64 (-.f64 (log.f64 (+.f64 alpha (+.f64 3 beta))) (log1p.f64 alpha)))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 beta (+.f64 alpha 3))) (log1p.f64 alpha)) 1))
(exp.f64 (-.f64 (log.f64 (+.f64 (+.f64 alpha beta) 3)) (log1p.f64 alpha)))
(exp.f64 (-.f64 (log.f64 (+.f64 alpha (+.f64 3 beta))) (log1p.f64 alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))
(/.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 1 alpha))
(/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta)))) 1)
(*.f64 (/.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 1 alpha)) beta)
(*.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha)) beta)
(/.f64 1 (/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 1 alpha)) beta)
(*.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha)) beta)
(/.f64 beta (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 beta (+.f64 1 alpha)) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 beta (+.f64 1 alpha)) (+.f64 alpha (+.f64 3 beta)))
(/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta))
(*.f64 (/.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 1 alpha)) beta)
(*.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha)) beta)
(/.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))
(*.f64 (/.f64 beta (+.f64 1 alpha)) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 beta (+.f64 1 alpha)) (+.f64 alpha (+.f64 3 beta)))
(/.f64 (*.f64 beta (+.f64 (neg.f64 (+.f64 beta alpha)) -3)) (+.f64 -1 (neg.f64 alpha)))
(/.f64 (*.f64 beta (+.f64 (neg.f64 (+.f64 alpha beta)) -3)) (-.f64 -1 alpha))
(/.f64 beta (/.f64 (-.f64 -1 alpha) (-.f64 -3 (+.f64 alpha beta))))
(/.f64 (*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -3) beta) (+.f64 -1 (neg.f64 alpha)))
(/.f64 (*.f64 beta (+.f64 (neg.f64 (+.f64 alpha beta)) -3)) (-.f64 -1 alpha))
(/.f64 beta (/.f64 (-.f64 -1 alpha) (-.f64 -3 (+.f64 alpha beta))))
(/.f64 (/.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 3))) 1) (+.f64 1 alpha))
(*.f64 (/.f64 beta (+.f64 1 alpha)) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 beta (+.f64 1 alpha)) (+.f64 alpha (+.f64 3 beta)))
(/.f64 (/.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 3))) (sqrt.f64 (+.f64 1 alpha))) (sqrt.f64 (+.f64 1 alpha)))
(/.f64 (*.f64 beta (+.f64 (+.f64 alpha beta) 3)) (*.f64 (sqrt.f64 (+.f64 1 alpha)) (sqrt.f64 (+.f64 1 alpha))))
(/.f64 (*.f64 beta (+.f64 alpha (+.f64 3 beta))) (*.f64 (sqrt.f64 (+.f64 1 alpha)) (sqrt.f64 (+.f64 1 alpha))))
(/.f64 (/.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 3))) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2)) (cbrt.f64 (+.f64 1 alpha)))
(/.f64 (*.f64 beta (+.f64 (+.f64 alpha beta) 3)) (*.f64 (cbrt.f64 (+.f64 1 alpha)) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2)))
(/.f64 (*.f64 beta (+.f64 alpha (+.f64 3 beta))) (*.f64 (cbrt.f64 (+.f64 1 alpha)) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2)))
(/.f64 (neg.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 3)))) (+.f64 -1 (neg.f64 alpha)))
(/.f64 (*.f64 beta (neg.f64 (+.f64 (+.f64 alpha beta) 3))) (-.f64 -1 alpha))
(/.f64 (*.f64 beta (neg.f64 (+.f64 alpha (+.f64 3 beta)))) (-.f64 -1 alpha))
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta)) 1)
(*.f64 (/.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 1 alpha)) beta)
(*.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha)) beta)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta))) 2)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 1 alpha)) beta)) 2)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha)) beta)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta))) 3)
(*.f64 (/.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 1 alpha)) beta)
(*.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha)) beta)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta)) 3) 1/3)
(*.f64 (/.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 1 alpha)) beta)
(*.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha)) beta)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta)) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 1 alpha)) beta) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha)) beta) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))) beta))
(*.f64 (/.f64 beta (+.f64 1 alpha)) (+.f64 (+.f64 alpha beta) 3))
(*.f64 (/.f64 beta (+.f64 1 alpha)) (+.f64 alpha (+.f64 3 beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta)))))
(*.f64 (/.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 1 alpha)) beta)
(*.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha)) beta)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta)) 3))
(*.f64 (/.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 1 alpha)) beta)
(*.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha)) beta)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta))))
(*.f64 (/.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 1 alpha)) beta)
(*.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha)) beta)
(exp.f64 (-.f64 (log.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 3)))) (log1p.f64 alpha)))
(exp.f64 (-.f64 (log.f64 (*.f64 beta (+.f64 (+.f64 alpha beta) 3))) (log1p.f64 alpha)))
(exp.f64 (-.f64 (log.f64 (*.f64 beta (+.f64 alpha (+.f64 3 beta)))) (log1p.f64 alpha)))
(exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 3)))) (log1p.f64 alpha)) 1))
(exp.f64 (-.f64 (log.f64 (*.f64 beta (+.f64 (+.f64 alpha beta) 3))) (log1p.f64 alpha)))
(exp.f64 (-.f64 (log.f64 (*.f64 beta (+.f64 alpha (+.f64 3 beta)))) (log1p.f64 alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) beta))))
(*.f64 (/.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 1 alpha)) beta)
(*.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha)) beta)

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))
0.0b
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
Compiler

Compiled 38 to 26 computations (31.6% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
alpha
@0
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
0.0ms
beta
@0
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
0.0ms
alpha
@inf
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
0.0ms
beta
@-inf
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
0.0ms
beta
@inf
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))

rewrite87.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1468×associate-/r*
1388×distribute-lft-in
976×associate-/l*
872×associate-/r/
520×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01231
127331
2377931
Stop Event
node limit
Counts
1 → 88
Calls
Call 1
Inputs
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))) (*.f64 (/.f64 1/6 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 beta 1))) (fma.f64 (neg.f64 (+.f64 2 alpha)) 1 (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))) (*.f64 (/.f64 1/6 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 beta 1))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 alpha))) (sqrt.f64 (+.f64 2 alpha)) (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))) (*.f64 (/.f64 1/6 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 beta 1))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 alpha))) (pow.f64 (cbrt.f64 (+.f64 2 alpha)) 2) (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/6 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 beta 1))) beta) (*.f64 (/.f64 1/6 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 beta 1))) (neg.f64 (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/6 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 beta 1))) beta) (*.f64 (/.f64 1/6 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 beta 1))) (+.f64 (*.f64 -1 alpha) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/6 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 beta 1))) beta) (*.f64 (/.f64 1/6 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 beta 1))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 2 alpha))) (sqrt.f64 (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/6 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 beta 1))) beta) (*.f64 (/.f64 1/6 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 beta 1))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 2 alpha)) 2)) (cbrt.f64 (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 1/6 (*.f64 beta 1/6)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 beta beta)) (*.f64 (/.f64 (+.f64 1/6 (*.f64 beta 1/6)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 (+.f64 2 alpha) (+.f64 2 (-.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 1/6 (*.f64 beta 1/6)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 (+.f64 2 alpha) (+.f64 2 (-.f64 alpha beta)))) (*.f64 (/.f64 (+.f64 1/6 (*.f64 beta 1/6)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/6 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1/6 (*.f64 beta 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (+.f64 2 alpha)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/6 (*.f64 beta 1/6)) (+.f64 beta (+.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 beta) (/.f64 (-.f64 -2 (+.f64 beta alpha)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1/6 (*.f64 beta 1/6))) (/.f64 (+.f64 beta (+.f64 2 alpha)) (sqrt.f64 (+.f64 1/6 (*.f64 beta 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 1/6 (*.f64 beta 1/6))) (cbrt.f64 (+.f64 1/6 (*.f64 beta 1/6)))) (/.f64 (+.f64 beta (+.f64 2 alpha)) (cbrt.f64 (+.f64 1/6 (*.f64 beta 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (sqrt.f64 (+.f64 beta 1))) (/.f64 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(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))))))))

simplify115.0ms (0.5%)

Algorithm
egg-herbie
Rules
1610×associate-/l/
926×associate-/r/
606×associate-+r+
580×associate-+l+
526×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03746246
110715812
242295684
Stop Event
node limit
Counts
112 → 211
Calls
Call 1
Inputs
(/.f64 1/6 (+.f64 2 alpha))
(+.f64 (*.f64 1/6 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))
(+.f64 (*.f64 1/6 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (*.f64 1/6 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))))
1/6
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 1 alpha) beta)) 1/6)
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 1 alpha) beta)) 1/6))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 1 alpha) beta)) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))) 1/6)))
1/6
(+.f64 1/6 (*.f64 1/6 (/.f64 (+.f64 1 (*.f64 -1 (+.f64 2 alpha))) beta)))
(+.f64 1/6 (+.f64 (*.f64 1/6 (/.f64 (+.f64 1 (*.f64 -1 (+.f64 2 alpha))) beta)) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 1 (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 2)))))
(+.f64 1/6 (+.f64 (*.f64 1/6 (/.f64 (+.f64 1 (*.f64 -1 (+.f64 2 alpha))) beta)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 3))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 1 (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 2))))))
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) alpha)) (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 1/6 (/.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 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))))
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) alpha)) (+.f64 (*.f64 1/6 (/.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 -1/6 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 3))) (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))))
(*.f64 1/6 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) alpha)) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) alpha)) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2)))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) alpha)) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))))))
(*.f64 1/6 (/.f64 (+.f64 beta 1) alpha))
(+.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) alpha)) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) alpha)) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2)))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) alpha)) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))))))
(+.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))) (*.f64 (/.f64 1/6 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 beta 1))) (fma.f64 (neg.f64 (+.f64 2 alpha)) 1 (+.f64 2 alpha))))
(+.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))) (*.f64 (/.f64 1/6 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 beta 1))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 2 alpha))) (sqrt.f64 (+.f64 2 alpha)) (+.f64 2 alpha))))
(+.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))) (*.f64 (/.f64 1/6 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 beta 1))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 2 alpha))) (pow.f64 (cbrt.f64 (+.f64 2 alpha)) 2) (+.f64 2 alpha))))
(+.f64 (*.f64 (/.f64 1/6 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 beta 1))) beta) (*.f64 (/.f64 1/6 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 beta 1))) (neg.f64 (+.f64 2 alpha))))
(+.f64 (*.f64 (/.f64 1/6 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 beta 1))) beta) (*.f64 (/.f64 1/6 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 beta 1))) (+.f64 (*.f64 -1 alpha) -2)))
(+.f64 (*.f64 (/.f64 1/6 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 beta 1))) beta) (*.f64 (/.f64 1/6 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 beta 1))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 2 alpha))) (sqrt.f64 (+.f64 2 alpha)))))
(+.f64 (*.f64 (/.f64 1/6 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 beta 1))) beta) (*.f64 (/.f64 1/6 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 beta 1))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 2 alpha)) 2)) (cbrt.f64 (+.f64 2 alpha)))))
(+.f64 (*.f64 (/.f64 (+.f64 1/6 (*.f64 beta 1/6)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 beta beta)) (*.f64 (/.f64 (+.f64 1/6 (*.f64 beta 1/6)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 (+.f64 2 alpha) (+.f64 2 (-.f64 alpha beta)))))
(+.f64 (*.f64 (/.f64 (+.f64 1/6 (*.f64 beta 1/6)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 (+.f64 2 alpha) (+.f64 2 (-.f64 alpha beta)))) (*.f64 (/.f64 (+.f64 1/6 (*.f64 beta 1/6)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 beta beta)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))))) 1)
(/.f64 1/6 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))
(/.f64 1 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1/6 (*.f64 beta 1/6))))
(/.f64 (+.f64 beta 1) (/.f64 (+.f64 beta (+.f64 2 alpha)) 1/6))
(/.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))) 1)
(/.f64 (+.f64 1/6 (*.f64 beta 1/6)) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (-.f64 -1 beta) (/.f64 (-.f64 -2 (+.f64 beta alpha)) 1/6))
(/.f64 (sqrt.f64 (+.f64 1/6 (*.f64 beta 1/6))) (/.f64 (+.f64 beta (+.f64 2 alpha)) (sqrt.f64 (+.f64 1/6 (*.f64 beta 1/6)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/6 (*.f64 beta 1/6))) (cbrt.f64 (+.f64 1/6 (*.f64 beta 1/6)))) (/.f64 (+.f64 beta (+.f64 2 alpha)) (cbrt.f64 (+.f64 1/6 (*.f64 beta 1/6)))))
(/.f64 (*.f64 1/6 (sqrt.f64 (+.f64 beta 1))) (/.f64 (+.f64 beta (+.f64 2 alpha)) (sqrt.f64 (+.f64 beta 1))))
(/.f64 (*.f64 1/6 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (/.f64 (+.f64 beta (+.f64 2 alpha)) (cbrt.f64 (+.f64 beta 1))))
(/.f64 (*.f64 1/6 (fma.f64 beta beta -1)) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta -1)))
(/.f64 (+.f64 1/6 (*.f64 1/6 (pow.f64 beta 3))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (fma.f64 beta beta (-.f64 1 beta))))
(/.f64 (*.f64 1/6 (-.f64 -1 beta)) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (*.f64 (-.f64 -1 beta) 1/6) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 1/6 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 1))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) 1/6)) (cbrt.f64 (+.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 1/6 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 beta 1))) (/.f64 1 (-.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 1/6 (*.f64 beta 1/6)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (+.f64 2 (-.f64 alpha beta))))))
(/.f64 (neg.f64 (+.f64 1/6 (*.f64 beta 1/6))) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 (+.f64 1/6 (*.f64 beta 1/6)) (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2))
(/.f64 (/.f64 1/6 (+.f64 beta (+.f64 2 alpha))) (/.f64 1 (+.f64 beta 1)))
(/.f64 (/.f64 1/6 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)))) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1))))
(/.f64 (/.f64 1/6 (*.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1))) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1))))) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1))))
(/.f64 (/.f64 1/6 (/.f64 (+.f64 beta (+.f64 2 alpha)) (fma.f64 beta beta -1))) (+.f64 beta -1))
(/.f64 (/.f64 1/6 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 (pow.f64 beta 3)))) (fma.f64 beta beta (-.f64 1 beta)))
(/.f64 (/.f64 1/6 (/.f64 1 (sqrt.f64 (+.f64 beta 1)))) (/.f64 (+.f64 beta (+.f64 2 alpha)) (sqrt.f64 (+.f64 beta 1))))
(/.f64 (/.f64 1/6 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2))) (/.f64 (+.f64 beta (+.f64 2 alpha)) (cbrt.f64 (+.f64 beta 1))))
(/.f64 (/.f64 1/6 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) 1)) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 1)))
(/.f64 (/.f64 1/6 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (sqrt.f64 (+.f64 beta 1)))) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (sqrt.f64 (+.f64 beta 1))))
(/.f64 (/.f64 1/6 (/.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 1/6 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) 1)) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 1)))
(/.f64 (/.f64 1/6 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) (sqrt.f64 (+.f64 beta 1)))) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) (sqrt.f64 (+.f64 beta 1))))
(/.f64 (/.f64 1/6 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2))) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) (cbrt.f64 (+.f64 beta 1))))
(/.f64 (/.f64 (*.f64 1/6 (-.f64 -1 beta)) 1) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 (*.f64 1/6 (-.f64 -1 beta)) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (*.f64 1/6 (-.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 1/6 (-.f64 -1 beta)) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha)))) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (/.f64 (*.f64 1/6 (-.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 1/6 (-.f64 -1 beta)) -1) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (*.f64 1/6 (-.f64 -1 beta)) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 (*.f64 1/6 (-.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 beta) 1/6) 1) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 (*.f64 (-.f64 -1 beta) 1/6) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (*.f64 (-.f64 -1 beta) 1/6) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) (neg.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (*.f64 (-.f64 -1 beta) 1/6) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha)))) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (/.f64 (*.f64 (-.f64 -1 beta) 1/6) (*.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))) (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))))) (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (/.f64 (*.f64 (-.f64 -1 beta) 1/6) -1) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (*.f64 (-.f64 -1 beta) 1/6) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 (*.f64 (-.f64 -1 beta) 1/6) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2))) (cbrt.f64 (+.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 (/.f64 1/6 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 1))) 1) (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 (/.f64 1/6 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 1))) (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))) (cbrt.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (/.f64 1/6 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 1))) (sqrt.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))) (sqrt.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (/.f64 1/6 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 1))) (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 beta 1) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) 1/6)) 1) (cbrt.f64 (+.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) 1/6)) (sqrt.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))))) (sqrt.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) 1/6)) (cbrt.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))) (cbrt.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) 1/6)) (*.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 beta 1) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (neg.f64 (+.f64 1/6 (*.f64 beta 1/6))) 1) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 (neg.f64 (+.f64 1/6 (*.f64 beta 1/6))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (neg.f64 (+.f64 1/6 (*.f64 beta 1/6))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) (neg.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (neg.f64 (+.f64 1/6 (*.f64 beta 1/6))) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha)))) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (/.f64 (neg.f64 (+.f64 1/6 (*.f64 beta 1/6))) (*.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))) (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))))) (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (/.f64 (neg.f64 (+.f64 1/6 (*.f64 beta 1/6))) -1) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (neg.f64 (+.f64 1/6 (*.f64 beta 1/6))) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 (neg.f64 (+.f64 1/6 (*.f64 beta 1/6))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2))) (cbrt.f64 (+.f64 beta (+.f64 2 alpha))))
(pow.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))) 1)
(pow.f64 (sqrt.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))) 2)
(pow.f64 (cbrt.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))) 3)
(pow.f64 (pow.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))))))
(cbrt.f64 (pow.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))))
(exp.f64 (log.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))))
Outputs
(/.f64 1/6 (+.f64 2 alpha))
(+.f64 (*.f64 1/6 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))
(fma.f64 1/6 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha)))
(*.f64 1/6 (fma.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (*.f64 1/6 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))))
(fma.f64 1/6 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 1/6 (*.f64 (*.f64 beta beta) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha))))
(*.f64 1/6 (+.f64 (*.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)))))
(+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 1/6 (*.f64 beta (+.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))))
(+.f64 (*.f64 1/6 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))))
(fma.f64 1/6 (*.f64 beta (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 1/6 (*.f64 (*.f64 beta beta) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 1/6 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 1/6 (+.f64 2 alpha)))))
(fma.f64 1/6 (*.f64 beta (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 1/6 (+.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 4))) (/.f64 1 (+.f64 2 alpha))))))
(*.f64 1/6 (+.f64 (fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 4))) (/.f64 1 (+.f64 2 alpha))) (*.f64 beta (+.f64 (+.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))))
1/6
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 1 alpha) beta)) 1/6)
(fma.f64 -1/6 (/.f64 (+.f64 alpha 1) beta) 1/6)
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 1 alpha) beta)) 1/6))
(fma.f64 1/6 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 alpha 1)) (*.f64 beta beta)) (fma.f64 -1/6 (/.f64 (+.f64 alpha 1) beta) 1/6))
(fma.f64 1/6 (*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (+.f64 2 alpha) beta)) (fma.f64 -1/6 (/.f64 (+.f64 alpha 1) beta) 1/6))
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1/6
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(*.f64 1/6 (/.f64 (+.f64 beta 1) alpha))
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(*.f64 1/6 (/.f64 (+.f64 beta 1) alpha))
(/.f64 (fma.f64 1/6 beta 1/6) alpha)
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(/.f64 (fma.f64 1/6 beta 1/6) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (fma.f64 1/6 beta 1/6) (+.f64 (+.f64 2 alpha) beta))
(pow.f64 (pow.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))) 3) 1/3)
(/.f64 (*.f64 1/6 (+.f64 beta 1)) (+.f64 (+.f64 2 alpha) beta))
(/.f64 (fma.f64 1/6 beta 1/6) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (fma.f64 1/6 beta 1/6) (+.f64 (+.f64 2 alpha) beta))
(sqrt.f64 (pow.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 1/6 (+.f64 beta 1)) (+.f64 (+.f64 2 alpha) beta)) 2))
(fabs.f64 (/.f64 (fma.f64 1/6 beta 1/6) (+.f64 2 (+.f64 alpha beta))))
(fabs.f64 (/.f64 (fma.f64 1/6 beta 1/6) (+.f64 (+.f64 2 alpha) beta)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))) 1/6))
(/.f64 (*.f64 1/6 (+.f64 beta 1)) (+.f64 (+.f64 2 alpha) beta))
(/.f64 (fma.f64 1/6 beta 1/6) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (fma.f64 1/6 beta 1/6) (+.f64 (+.f64 2 alpha) beta))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))))))
(/.f64 (*.f64 1/6 (+.f64 beta 1)) (+.f64 (+.f64 2 alpha) beta))
(/.f64 (fma.f64 1/6 beta 1/6) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (fma.f64 1/6 beta 1/6) (+.f64 (+.f64 2 alpha) beta))
(cbrt.f64 (pow.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))) 3))
(/.f64 (*.f64 1/6 (+.f64 beta 1)) (+.f64 (+.f64 2 alpha) beta))
(/.f64 (fma.f64 1/6 beta 1/6) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (fma.f64 1/6 beta 1/6) (+.f64 (+.f64 2 alpha) beta))
(expm1.f64 (log1p.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))))
(/.f64 (*.f64 1/6 (+.f64 beta 1)) (+.f64 (+.f64 2 alpha) beta))
(/.f64 (fma.f64 1/6 beta 1/6) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (fma.f64 1/6 beta 1/6) (+.f64 (+.f64 2 alpha) beta))
(exp.f64 (log.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))))
(/.f64 (*.f64 1/6 (+.f64 beta 1)) (+.f64 (+.f64 2 alpha) beta))
(/.f64 (fma.f64 1/6 beta 1/6) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (fma.f64 1/6 beta 1/6) (+.f64 (+.f64 2 alpha) beta))
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))) 1))
(/.f64 (*.f64 1/6 (+.f64 beta 1)) (+.f64 (+.f64 2 alpha) beta))
(/.f64 (fma.f64 1/6 beta 1/6) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (fma.f64 1/6 beta 1/6) (+.f64 (+.f64 2 alpha) beta))
(log1p.f64 (expm1.f64 (*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))))
(/.f64 (*.f64 1/6 (+.f64 beta 1)) (+.f64 (+.f64 2 alpha) beta))
(/.f64 (fma.f64 1/6 beta 1/6) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (fma.f64 1/6 beta 1/6) (+.f64 (+.f64 2 alpha) beta))

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 55 to 41 computations (25.5% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite85.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1352×distribute-rgt-in
1318×distribute-lft-in
308×add-sqr-sqrt
296×pow1
296×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01356
130650
2447550
Stop Event
node limit
Counts
2 → 116
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha)) (/.f64 1 (+.f64 2 alpha)))
(/.f64 1 (+.f64 2 alpha))
Outputs
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simplify267.0ms (1.2%)

Algorithm
egg-herbie
Rules
1596×associate-/r/
1346×associate-/l/
1336×unswap-sqr
478×+-commutative
404×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03545694
110495400
239425248
Stop Event
node limit
Counts
140 → 200
Calls
Call 1
Inputs
1/12
(+.f64 1/12 (*.f64 -1/36 alpha))
(+.f64 1/12 (+.f64 (*.f64 -1/36 alpha) (*.f64 -5/432 (pow.f64 alpha 2))))
(+.f64 1/12 (+.f64 (*.f64 -1/36 alpha) (+.f64 (*.f64 2/81 (pow.f64 alpha 3)) (*.f64 -5/432 (pow.f64 alpha 2)))))
(/.f64 1 (pow.f64 alpha 2))
(-.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 6 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (+.f64 (*.f64 26 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (*.f64 6 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (+.f64 (*.f64 26 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 3))) (*.f64 98 (/.f64 1 (pow.f64 alpha 5)))))
(/.f64 1 (pow.f64 alpha 2))
(-.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 6 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (+.f64 (*.f64 26 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (*.f64 6 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (+.f64 (*.f64 26 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 3))) (*.f64 98 (/.f64 1 (pow.f64 alpha 5)))))
1/2
(+.f64 1/2 (*.f64 -1/4 alpha))
(+.f64 (*.f64 1/8 (pow.f64 alpha 2)) (+.f64 1/2 (*.f64 -1/4 alpha)))
(+.f64 (*.f64 1/8 (pow.f64 alpha 2)) (+.f64 1/2 (+.f64 (*.f64 -1/4 alpha) (*.f64 -1/16 (pow.f64 alpha 3)))))
(/.f64 1 alpha)
(-.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 4))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))
(/.f64 1 alpha)
(-.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 4))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 4 (*.f64 alpha alpha))) 2) (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 4 (*.f64 alpha alpha))) (neg.f64 alpha)))
(+.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 4 (*.f64 alpha alpha))) 2) (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 4 (*.f64 alpha alpha))) (*.f64 -1 alpha)))
(+.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 4 (*.f64 alpha alpha))) 2) (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 4 (*.f64 alpha alpha))) (*.f64 (neg.f64 (sqrt.f64 alpha)) (sqrt.f64 alpha))))
(+.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 4 (*.f64 alpha alpha))) 2) (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 4 (*.f64 alpha alpha))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))))
(+.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (+.f64 8 (pow.f64 alpha 3))) 4) (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (+.f64 8 (pow.f64 alpha 3))) (*.f64 alpha (-.f64 alpha 2))))
(+.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (+.f64 8 (pow.f64 alpha 3))) (*.f64 alpha (-.f64 alpha 2))) (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (+.f64 8 (pow.f64 alpha 3))) 4))
(+.f64 (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (-.f64 9 (*.f64 alpha alpha))) 3) (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (-.f64 9 (*.f64 alpha alpha))) (neg.f64 alpha)))
(+.f64 (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (-.f64 9 (*.f64 alpha alpha))) 3) (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (-.f64 9 (*.f64 alpha alpha))) (*.f64 -1 alpha)))
(+.f64 (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (-.f64 9 (*.f64 alpha alpha))) 3) (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (-.f64 9 (*.f64 alpha alpha))) (*.f64 (neg.f64 (sqrt.f64 alpha)) (sqrt.f64 alpha))))
(+.f64 (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (-.f64 9 (*.f64 alpha alpha))) 3) (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (-.f64 9 (*.f64 alpha alpha))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))))
(+.f64 (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (+.f64 27 (pow.f64 alpha 3))) 9) (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (+.f64 27 (pow.f64 alpha 3))) (*.f64 alpha (-.f64 alpha 3))))
(+.f64 (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (+.f64 27 (pow.f64 alpha 3))) (*.f64 alpha (-.f64 alpha 3))) (*.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (+.f64 27 (pow.f64 alpha 3))) 9))
(+.f64 (*.f64 2 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 4 (*.f64 alpha alpha)))) (*.f64 (neg.f64 alpha) (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 4 (*.f64 alpha alpha)))))
(+.f64 (*.f64 2 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 4 (*.f64 alpha alpha)))) (*.f64 (*.f64 -1 alpha) (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 4 (*.f64 alpha alpha)))))
(+.f64 (*.f64 2 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 4 (*.f64 alpha alpha)))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 alpha)) (sqrt.f64 alpha)) (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 4 (*.f64 alpha alpha)))))
(+.f64 (*.f64 2 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 4 (*.f64 alpha alpha)))) (*.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha)) (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 4 (*.f64 alpha alpha)))))
(+.f64 (*.f64 4 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (+.f64 8 (pow.f64 alpha 3)))) (*.f64 (*.f64 alpha (-.f64 alpha 2)) (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (+.f64 8 (pow.f64 alpha 3)))))
(+.f64 (*.f64 (*.f64 alpha (-.f64 alpha 2)) (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (+.f64 8 (pow.f64 alpha 3)))) (*.f64 4 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (+.f64 8 (pow.f64 alpha 3)))))
(+.f64 (*.f64 3 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (-.f64 9 (*.f64 alpha alpha)))) (*.f64 (neg.f64 alpha) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (-.f64 9 (*.f64 alpha alpha)))))
(+.f64 (*.f64 3 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (-.f64 9 (*.f64 alpha alpha)))) (*.f64 (*.f64 -1 alpha) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (-.f64 9 (*.f64 alpha alpha)))))
(+.f64 (*.f64 3 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (-.f64 9 (*.f64 alpha alpha)))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 alpha)) (sqrt.f64 alpha)) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (-.f64 9 (*.f64 alpha alpha)))))
(+.f64 (*.f64 3 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (-.f64 9 (*.f64 alpha alpha)))) (*.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha)) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (-.f64 9 (*.f64 alpha alpha)))))
(+.f64 (*.f64 9 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (+.f64 27 (pow.f64 alpha 3)))) (*.f64 (*.f64 alpha (-.f64 alpha 3)) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (+.f64 27 (pow.f64 alpha 3)))))
(+.f64 (*.f64 (*.f64 alpha (-.f64 alpha 3)) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (+.f64 27 (pow.f64 alpha 3)))) (*.f64 9 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (+.f64 27 (pow.f64 alpha 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (+.f64 alpha 3)))) 1)
(/.f64 1 (/.f64 (+.f64 alpha 2) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))))
(/.f64 1 (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha 3) (/.f64 (-.f64 -2 alpha) (-.f64 -1 alpha)))))
(/.f64 1 (/.f64 (+.f64 alpha 3) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2))))
(/.f64 1 (/.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) (/.f64 (+.f64 1 alpha) (+.f64 alpha 2))))
(/.f64 1 (*.f64 (*.f64 (+.f64 alpha 3) (/.f64 (-.f64 -2 alpha) (-.f64 -1 alpha))) (+.f64 alpha 2)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(/.f64 (+.f64 1 alpha) (*.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) (+.f64 alpha 2)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (/.f64 (+.f64 alpha 3) (/.f64 1 (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (/.f64 (+.f64 alpha 2) (/.f64 1 (+.f64 alpha 3))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (/.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) 1))
(/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (+.f64 alpha 2))
(/.f64 (/.f64 1 (+.f64 alpha 2)) (*.f64 (+.f64 alpha 3) (/.f64 (-.f64 -2 alpha) (-.f64 -1 alpha))))
(/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (/.f64 (+.f64 alpha 2) (sqrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) 2) (/.f64 (+.f64 alpha 2) (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))))
(/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (+.f64 alpha 3))
(/.f64 -1 (*.f64 (*.f64 (+.f64 alpha 3) (/.f64 (-.f64 -2 alpha) (-.f64 -1 alpha))) (-.f64 -2 alpha)))
(/.f64 -1 (*.f64 (-.f64 -2 alpha) (*.f64 (+.f64 alpha 3) (/.f64 (-.f64 -2 alpha) (-.f64 -1 alpha)))))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (*.f64 (+.f64 alpha 2) (-.f64 -3 alpha)))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (*.f64 (-.f64 -2 alpha) (+.f64 alpha 3)))
(/.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (neg.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(/.f64 (-.f64 -1 alpha) (*.f64 (-.f64 -2 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))
(/.f64 (*.f64 (+.f64 1 alpha) -1) (*.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) (-.f64 -2 alpha)))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) -1) (*.f64 (+.f64 alpha 3) (-.f64 -2 alpha)))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) -1) (-.f64 -2 alpha))
(/.f64 (*.f64 (/.f64 1 (+.f64 alpha 2)) (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2))) (-.f64 -3 alpha))
(/.f64 (*.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) 1) (*.f64 (-.f64 -3 alpha) (+.f64 alpha 2)))
(/.f64 (*.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) (/.f64 1 (+.f64 alpha 2))) (-.f64 -3 alpha))
(/.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (-.f64 -2 alpha))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 1) (+.f64 alpha 2))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)))
(/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (cbrt.f64 (pow.f64 (+.f64 alpha 2) 2))) (cbrt.f64 (+.f64 alpha 2)))
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) 1) (+.f64 alpha 3))
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (sqrt.f64 (+.f64 alpha 3))) (sqrt.f64 (+.f64 alpha 3)))
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (cbrt.f64 (pow.f64 (+.f64 alpha 3) 2))) (cbrt.f64 (+.f64 alpha 3)))
(/.f64 (*.f64 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2)) -1) (*.f64 (-.f64 -3 alpha) (-.f64 -2 alpha)))
(/.f64 (*.f64 -1 (/.f64 (-.f64 -1 alpha) (+.f64 alpha 2))) (*.f64 (-.f64 -2 alpha) (-.f64 -3 alpha)))
(/.f64 (neg.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (-.f64 -2 alpha))
(/.f64 (neg.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2))) (-.f64 -3 alpha))
(pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (+.f64 alpha 3)) 1)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (+.f64 alpha 3))) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (+.f64 alpha 3))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (+.f64 alpha 3)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (+.f64 alpha 3)) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (+.f64 alpha 3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (+.f64 alpha 3)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (+.f64 alpha 3)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 3) (pow.f64 (/.f64 1 (+.f64 alpha 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 alpha 2)) 3) (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) 3) (pow.f64 (+.f64 alpha 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (+.f64 alpha 3))))
(exp.f64 (log.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (+.f64 alpha 3))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (+.f64 alpha 3))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) -2)) (+.f64 alpha 3))))
(+.f64 (*.f64 (/.f64 1 (-.f64 4 (*.f64 alpha alpha))) 2) (*.f64 (/.f64 1 (-.f64 4 (*.f64 alpha alpha))) (neg.f64 alpha)))
(+.f64 (*.f64 (/.f64 1 (-.f64 4 (*.f64 alpha alpha))) 2) (*.f64 (/.f64 1 (-.f64 4 (*.f64 alpha alpha))) (*.f64 -1 alpha)))
(+.f64 (*.f64 (/.f64 1 (-.f64 4 (*.f64 alpha alpha))) 2) (*.f64 (/.f64 1 (-.f64 4 (*.f64 alpha alpha))) (*.f64 (neg.f64 (sqrt.f64 alpha)) (sqrt.f64 alpha))))
(+.f64 (*.f64 (/.f64 1 (-.f64 4 (*.f64 alpha alpha))) 2) (*.f64 (/.f64 1 (-.f64 4 (*.f64 alpha alpha))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha))))
(+.f64 (*.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) 4) (*.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (*.f64 alpha (-.f64 alpha 2))))
(+.f64 (*.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (*.f64 alpha (-.f64 alpha 2))) (*.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) 4))
(+.f64 (*.f64 2 (/.f64 1 (-.f64 4 (*.f64 alpha alpha)))) (*.f64 (neg.f64 alpha) (/.f64 1 (-.f64 4 (*.f64 alpha alpha)))))
(+.f64 (*.f64 2 (/.f64 1 (-.f64 4 (*.f64 alpha alpha)))) (*.f64 (*.f64 -1 alpha) (/.f64 1 (-.f64 4 (*.f64 alpha alpha)))))
(+.f64 (*.f64 2 (/.f64 1 (-.f64 4 (*.f64 alpha alpha)))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 alpha)) (sqrt.f64 alpha)) (/.f64 1 (-.f64 4 (*.f64 alpha alpha)))))
(+.f64 (*.f64 2 (/.f64 1 (-.f64 4 (*.f64 alpha alpha)))) (*.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha)) (/.f64 1 (-.f64 4 (*.f64 alpha alpha)))))
(+.f64 (*.f64 4 (/.f64 1 (+.f64 8 (pow.f64 alpha 3)))) (*.f64 (*.f64 alpha (-.f64 alpha 2)) (/.f64 1 (+.f64 8 (pow.f64 alpha 3)))))
(+.f64 (*.f64 (*.f64 alpha (-.f64 alpha 2)) (/.f64 1 (+.f64 8 (pow.f64 alpha 3)))) (*.f64 4 (/.f64 1 (+.f64 8 (pow.f64 alpha 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 alpha 2)))) 1)
(*.f64 1 (/.f64 1 (+.f64 alpha 2)))
(*.f64 (/.f64 1 (+.f64 alpha 2)) 1)
(*.f64 (pow.f64 (+.f64 alpha 2) -1/2) (pow.f64 (+.f64 alpha 2) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha 2))) (cbrt.f64 (pow.f64 (+.f64 alpha 2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 alpha 2))))
(*.f64 -1 (/.f64 1 (-.f64 -2 alpha)))
(*.f64 (/.f64 1 (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 alpha (-.f64 alpha 2))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 alpha 2)) -1) (pow.f64 (sqrt.f64 (+.f64 alpha 2)) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 2) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) -1))
(pow.f64 (+.f64 alpha 2) -1)
(pow.f64 (/.f64 1 (+.f64 alpha 2)) 1)
(pow.f64 (pow.f64 (+.f64 alpha 2) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha 2))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 alpha 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 alpha 2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 alpha 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 alpha 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha 2))))
(exp.f64 (neg.f64 (log.f64 (+.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha 2)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 alpha 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha 2))))
Outputs
1/12
(+.f64 1/12 (*.f64 -1/36 alpha))
(fma.f64 -1/36 alpha 1/12)
(+.f64 1/12 (+.f64 (*.f64 -1/36 alpha) (*.f64 -5/432 (pow.f64 alpha 2))))
(+.f64 1/12 (fma.f64 -1/36 alpha (*.f64 -5/432 (*.f64 alpha alpha))))
(+.f64 1/12 (*.f64 alpha (+.f64 -1/36 (*.f64 -5/432 alpha))))
(+.f64 1/12 (+.f64 (*.f64 -1/36 alpha) (+.f64 (*.f64 2/81 (pow.f64 alpha 3)) (*.f64 -5/432 (pow.f64 alpha 2)))))
(+.f64 1/12 (fma.f64 -1/36 alpha (fma.f64 2/81 (pow.f64 alpha 3) (*.f64 -5/432 (*.f64 alpha alpha)))))
(+.f64 1/12 (fma.f64 -1/36 alpha (fma.f64 -5/432 (*.f64 alpha alpha) (*.f64 2/81 (pow.f64 alpha 3)))))
(+.f64 (fma.f64 -1/36 alpha 1/12) (*.f64 (*.f64 alpha alpha) (+.f64 (*.f64 alpha 2/81) -5/432)))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 (/.f64 1 alpha) alpha)
(-.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 6 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 6 (pow.f64 alpha 3)))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 -6 (pow.f64 alpha 3)))
(+.f64 (/.f64 (/.f64 1 alpha) alpha) (/.f64 -6 (pow.f64 alpha 3)))
(-.f64 (+.f64 (*.f64 26 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (*.f64 6 (/.f64 1 (pow.f64 alpha 3))))
(+.f64 (/.f64 26 (pow.f64 alpha 4)) (-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 6 (pow.f64 alpha 3))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 26 (pow.f64 alpha 4)) (/.f64 -6 (pow.f64 alpha 3))))
(+.f64 (/.f64 (/.f64 1 alpha) alpha) (+.f64 (/.f64 26 (pow.f64 alpha 4)) (/.f64 -6 (pow.f64 alpha 3))))
(-.f64 (+.f64 (*.f64 26 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 3))) (*.f64 98 (/.f64 1 (pow.f64 alpha 5)))))
(+.f64 (/.f64 26 (pow.f64 alpha 4)) (-.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 6 (pow.f64 alpha 3)) (/.f64 98 (pow.f64 alpha 5)))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (-.f64 (/.f64 26 (pow.f64 alpha 4)) (+.f64 (/.f64 6 (pow.f64 alpha 3)) (/.f64 98 (pow.f64 alpha 5)))))
(+.f64 (/.f64 (/.f64 1 alpha) alpha) (+.f64 (+.f64 (/.f64 26 (pow.f64 alpha 4)) (/.f64 -6 (pow.f64 alpha 3))) (/.f64 -98 (pow.f64 alpha 5))))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 (/.f64 1 alpha) alpha)
(-.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 6 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 6 (pow.f64 alpha 3)))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 -6 (pow.f64 alpha 3)))
(+.f64 (/.f64 (/.f64 1 alpha) alpha) (/.f64 -6 (pow.f64 alpha 3)))
(-.f64 (+.f64 (*.f64 26 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (*.f64 6 (/.f64 1 (pow.f64 alpha 3))))
(+.f64 (/.f64 26 (pow.f64 alpha 4)) (-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 6 (pow.f64 alpha 3))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 26 (pow.f64 alpha 4)) (/.f64 -6 (pow.f64 alpha 3))))
(+.f64 (/.f64 (/.f64 1 alpha) alpha) (+.f64 (/.f64 26 (pow.f64 alpha 4)) (/.f64 -6 (pow.f64 alpha 3))))
(-.f64 (+.f64 (*.f64 26 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 6 (/.f64 1 (pow.f64 alpha 3))) (*.f64 98 (/.f64 1 (pow.f64 alpha 5)))))
(+.f64 (/.f64 26 (pow.f64 alpha 4)) (-.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 6 (pow.f64 alpha 3)) (/.f64 98 (pow.f64 alpha 5)))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (-.f64 (/.f64 26 (pow.f64 alpha 4)) (+.f64 (/.f64 6 (pow.f64 alpha 3)) (/.f64 98 (pow.f64 alpha 5)))))
(+.f64 (/.f64 (/.f64 1 alpha) alpha) (+.f64 (+.f64 (/.f64 26 (pow.f64 alpha 4)) (/.f64 -6 (pow.f64 alpha 3))) (/.f64 -98 (pow.f64 alpha 5))))
1/2
(+.f64 1/2 (*.f64 -1/4 alpha))
(+.f64 1/2 (*.f64 alpha -1/4))
(fma.f64 alpha -1/4 1/2)
(+.f64 (*.f64 1/8 (pow.f64 alpha 2)) (+.f64 1/2 (*.f64 -1/4 alpha)))
(fma.f64 1/8 (*.f64 alpha alpha) (+.f64 1/2 (*.f64 alpha -1/4)))
(fma.f64 (*.f64 alpha alpha) 1/8 (fma.f64 alpha -1/4 1/2))
(+.f64 (*.f64 1/8 (pow.f64 alpha 2)) (+.f64 1/2 (+.f64 (*.f64 -1/4 alpha) (*.f64 -1/16 (pow.f64 alpha 3)))))
(fma.f64 1/8 (*.f64 alpha alpha) (+.f64 1/2 (fma.f64 -1/4 alpha (*.f64 (pow.f64 alpha 3) -1/16))))
(+.f64 (fma.f64 alpha -1/4 (*.f64 (pow.f64 alpha 3) -1/16)) (fma.f64 (*.f64 alpha alpha) 1/8 1/2))
(+.f64 (fma.f64 alpha -1/4 1/2) (*.f64 (*.f64 alpha alpha) (+.f64 (*.f64 alpha -1/16) 1/8)))
(/.f64 1 alpha)
(-.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 1 alpha) (/.f64 2 (*.f64 alpha alpha)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 4 (pow.f64 alpha 3)) (-.f64 (/.f64 1 alpha) (/.f64 2 (*.f64 alpha alpha))))
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 -2 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 4))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (/.f64 4 (pow.f64 alpha 3)) (-.f64 (/.f64 1 alpha) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (/.f64 8 (pow.f64 alpha 4)))))
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (/.f64 8 (pow.f64 alpha 4)))))
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (/.f64 -2 (*.f64 alpha alpha)) (/.f64 -8 (pow.f64 alpha 4)))))
(/.f64 1 alpha)
(-.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(-.f64 (/.f64 1 alpha) (/.f64 2 (*.f64 alpha alpha)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (*.f64 2 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (/.f64 4 (pow.f64 alpha 3)) (-.f64 (/.f64 1 alpha) (/.f64 2 (*.f64 alpha alpha))))
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (/.f64 -2 (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 alpha 3))) (/.f64 1 alpha)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 alpha 4))) (*.f64 2 (/.f64 1 (pow.f64 alpha 2)))))
(+.f64 (/.f64 4 (pow.f64 alpha 3)) (-.f64 (/.f64 1 alpha) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (/.f64 8 (pow.f64 alpha 4)))))
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (/.f64 2 (*.f64 alpha alpha)) (/.f64 8 (pow.f64 alpha 4)))))
(+.f64 (/.f64 1 alpha) (+.f64 (/.f64 4 (pow.f64 alpha 3)) (+.f64 (/.f64 -2 (*.f64 alpha alpha)) (/.f64 -8 (pow.f64 alpha 4)))))
(+.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 4 (*.f64 alpha alpha))) 2) (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 4 (*.f64 alpha alpha))) (neg.f64 alpha)))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (-.f64 4 (*.f64 alpha alpha)) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (-.f64 2 alpha))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (-.f64 4 (*.f64 alpha alpha)) (+.f64 alpha 3)) (+.f64 alpha 2))) (-.f64 2 alpha))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (-.f64 4 (*.f64 alpha alpha)) (+.f64 alpha 3))) (-.f64 2 alpha))
(+.f64 (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 4 (*.f64 alpha alpha))) 2) (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 4 (*.f64 alpha alpha))) (*.f64 -1 alpha)))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (-.f64 4 (*.f64 alpha alpha)) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (-.f64 2 alpha))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (-.f64 4 (*.f64 alpha alpha)) (+.f64 alpha 3)) (+.f64 alpha 2))) (-.f64 2 alpha))
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(+.f64 (*.f64 2 (/.f64 1 (-.f64 4 (*.f64 alpha alpha)))) (*.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 alpha) 2)) (cbrt.f64 alpha)) (/.f64 1 (-.f64 4 (*.f64 alpha alpha)))))
(*.f64 (/.f64 1 (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))
(/.f64 (-.f64 2 alpha) (-.f64 4 (*.f64 alpha alpha)))
(+.f64 (*.f64 4 (/.f64 1 (+.f64 8 (pow.f64 alpha 3)))) (*.f64 (*.f64 alpha (-.f64 alpha 2)) (/.f64 1 (+.f64 8 (pow.f64 alpha 3)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) 8)) (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))
(/.f64 (fma.f64 alpha (+.f64 alpha -2) 4) (+.f64 (pow.f64 alpha 3) 8))
(+.f64 (*.f64 (*.f64 alpha (-.f64 alpha 2)) (/.f64 1 (+.f64 8 (pow.f64 alpha 3)))) (*.f64 4 (/.f64 1 (+.f64 8 (pow.f64 alpha 3)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) 8)) (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))
(/.f64 (fma.f64 alpha (+.f64 alpha -2) 4) (+.f64 (pow.f64 alpha 3) 8))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 alpha 2)))) 1)
(/.f64 1 (+.f64 alpha 2))
(*.f64 1 (/.f64 1 (+.f64 alpha 2)))
(/.f64 1 (+.f64 alpha 2))
(*.f64 (/.f64 1 (+.f64 alpha 2)) 1)
(/.f64 1 (+.f64 alpha 2))
(*.f64 (pow.f64 (+.f64 alpha 2) -1/2) (pow.f64 (+.f64 alpha 2) -1/2))
(/.f64 1 (+.f64 alpha 2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha 2))) (cbrt.f64 (pow.f64 (+.f64 alpha 2) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 2) -2)) (cbrt.f64 (+.f64 alpha 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 alpha 2))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha 2))) (cbrt.f64 (pow.f64 (+.f64 alpha 2) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 2) -2)) (cbrt.f64 (+.f64 alpha 2)))
(*.f64 -1 (/.f64 1 (-.f64 -2 alpha)))
(/.f64 -1 (-.f64 -2 alpha))
(*.f64 (/.f64 1 (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))
(/.f64 (-.f64 2 alpha) (-.f64 4 (*.f64 alpha alpha)))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 alpha (-.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) 8)) (+.f64 4 (*.f64 alpha (+.f64 alpha -2))))
(/.f64 (fma.f64 alpha (+.f64 alpha -2) 4) (+.f64 (pow.f64 alpha 3) 8))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 alpha 2)) -1) (pow.f64 (sqrt.f64 (+.f64 alpha 2)) -1))
(pow.f64 (sqrt.f64 (+.f64 alpha 2)) -2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 alpha 2) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha 2))) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 alpha 2) 2))))
(pow.f64 (+.f64 alpha 2) -1)
(/.f64 1 (+.f64 alpha 2))
(pow.f64 (/.f64 1 (+.f64 alpha 2)) 1)
(/.f64 1 (+.f64 alpha 2))
(pow.f64 (pow.f64 (+.f64 alpha 2) -1/2) 2)
(/.f64 1 (+.f64 alpha 2))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 alpha 2))) 3)
(/.f64 1 (+.f64 alpha 2))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 alpha 2)) 3) 1/3)
(/.f64 1 (+.f64 alpha 2))
(sqrt.f64 (pow.f64 (+.f64 alpha 2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 alpha 2))))
(/.f64 1 (+.f64 alpha 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 alpha 2)))))
(/.f64 1 (+.f64 alpha 2))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 alpha 2)) 3))
(/.f64 1 (+.f64 alpha 2))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 alpha 2))))
(/.f64 1 (+.f64 alpha 2))
(exp.f64 (neg.f64 (log.f64 (+.f64 alpha 2))))
(/.f64 1 (+.f64 alpha 2))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha 2)) -1))
(/.f64 1 (+.f64 alpha 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 alpha 2))) 1))
(/.f64 1 (+.f64 alpha 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 alpha 2))))
(/.f64 1 (+.f64 alpha 2))

localize245.0ms (1.1%)

Local error

Found 3 expressions with local error:

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

Compiled 76 to 55 computations (27.6% saved)

series6.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite106.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1572×associate-/l/
448×+-commutative
432×associate-+l+
428×add-sqr-sqrt
412×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018105
141993
2594693
Stop Event
node limit
Counts
3 → 136
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 1 (-.f64 -3 (+.f64 beta (*.f64 alpha 2)))) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 1 (-.f64 -3 (+.f64 beta (*.f64 alpha 2)))) (-.f64 -1 alpha))
(/.f64 1 (-.f64 -3 (+.f64 beta (*.f64 alpha 2))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) -1) (*.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))) (*.f64 (neg.f64 alpha) (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) (neg.f64 alpha)) (*.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 alpha) (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))) (*.f64 -1 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (-.f64 -3 (fma.f64 alpha 2 beta))) (/.f64 alpha (-.f64 -3 (fma.f64 alpha 2 beta))))))) (#(struct:change #<rule egg-rr> 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 3 (fma.f64 alpha 2 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) -1/2) (pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 -3 (fma.f64 alpha 2 beta)))) (cbrt.f64 (pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) -2)) (/.f64 1 (cbrt.f64 (-.f64 -3 (fma.f64 alpha 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 9 (pow.f64 (fma.f64 alpha 2 beta) 2))) (+.f64 -3 (fma.f64 alpha 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -27 (pow.f64 (fma.f64 alpha 2 beta) 3))) (+.f64 9 (*.f64 (fma.f64 alpha 2 beta) (+.f64 -3 (fma.f64 alpha 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 -3 (fma.f64 alpha 2 beta))) -1) (pow.f64 (sqrt.f64 (-.f64 -3 (fma.f64 alpha 2 beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 -3 (fma.f64 alpha 2 beta))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 -3 (fma.f64 alpha 2 beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 -3 (fma.f64 alpha 2 beta)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 -3 (fma.f64 alpha 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 -3 (fma.f64 alpha 2 beta))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 -3 (fma.f64 alpha 2 beta)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))))))))

simplify130.0ms (0.6%)

Algorithm
egg-herbie
Rules
1088×associate-/r*
972×distribute-lft-in
942×associate-*r*
908×distribute-rgt-in
800×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069914924
1237014364
Stop Event
node limit
Counts
208 → 324
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 6 (+.f64 alpha (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 6 (+.f64 alpha (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (+.f64 (/.f64 1 (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) 2)) (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 3) (pow.f64 (+.f64 3 alpha) 3)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2))))))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 6 (+.f64 alpha (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (+.f64 (/.f64 1 (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) 2)) (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 3) (pow.f64 (+.f64 3 alpha) 3)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 6 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 6 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 3) (pow.f64 (+.f64 3 alpha) 3))))))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) 2)) (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 3) (pow.f64 (+.f64 3 alpha) 3)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2)))))))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 6 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 6 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) 2)))) (pow.f64 beta 4))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (*.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) (+.f64 3 alpha))))) (*.f64 -1 (*.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) 2))))))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 6 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) 2)))) (pow.f64 beta 4)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 6 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 6 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) 2)) (pow.f64 beta 4)) (/.f64 alpha (pow.f64 beta 2))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 6 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) 2)) (pow.f64 beta 4)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) 2))) (+.f64 6 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (*.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) (+.f64 3 alpha)))))) (pow.f64 beta 5))))))))
(/.f64 1 (pow.f64 (+.f64 beta 3) 2))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (/.f64 (*.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 2))) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (/.f64 (*.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 (+.f64 beta 3) 2))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3))))) (pow.f64 (+.f64 beta 3) 2))) (*.f64 2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))))) (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (/.f64 (*.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 2))) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))))))
(/.f64 1/2 alpha)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (*.f64 1/4 (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (pow.f64 (+.f64 beta 3) 2))) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (*.f64 1/4 (pow.f64 (+.f64 beta 3) 2))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3))))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (*.f64 1/4 (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))))) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(/.f64 1/2 alpha)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3))))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))))) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3))))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (pow.f64 (+.f64 beta 3) 2))) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 beta 3) 2)) (*.f64 -1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3))))))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3))))))) (pow.f64 alpha 4))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))))) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (+.f64 3 (*.f64 2 alpha)))
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)) (/.f64 1 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2))))) (+.f64 (/.f64 alpha (+.f64 3 (*.f64 2 alpha))) (/.f64 1 (+.f64 3 (*.f64 2 alpha)))))
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)) (/.f64 1 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2))))) (+.f64 (/.f64 alpha (+.f64 3 (*.f64 2 alpha))) (+.f64 (/.f64 1 (+.f64 3 (*.f64 2 alpha))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)) (/.f64 1 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)))) (+.f64 3 (*.f64 2 alpha))))))
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)) (/.f64 1 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 (*.f64 2 alpha)) 4)) (/.f64 1 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 4))))) (+.f64 (/.f64 alpha (+.f64 3 (*.f64 2 alpha))) (+.f64 (/.f64 1 (+.f64 3 (*.f64 2 alpha))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)) (/.f64 1 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)))) (+.f64 3 (*.f64 2 alpha)))))))
(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 (*.f64 2 alpha))) (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 (*.f64 2 alpha))) (pow.f64 beta 2))))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 (*.f64 2 alpha)) 3)) (pow.f64 beta 4))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 (*.f64 2 alpha))) (pow.f64 beta 2)))))))
(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 (*.f64 2 alpha))) (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 (*.f64 2 alpha))) (pow.f64 beta 2))))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 (*.f64 2 alpha)) 3)) (pow.f64 beta 4))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 (*.f64 2 alpha))) (pow.f64 beta 2)))))))
(/.f64 1 (+.f64 beta 3))
(+.f64 (*.f64 alpha (-.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 2))))) (/.f64 1 (+.f64 beta 3)))
(+.f64 (*.f64 alpha (-.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 2))))) (+.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3)))))
(+.f64 (*.f64 alpha (-.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 2))))) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 alpha 3) (-.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 2))))) (pow.f64 (+.f64 beta 3) 2))) (+.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3))))))
1/2
(-.f64 (+.f64 1/2 (*.f64 1/2 (/.f64 1 alpha))) (*.f64 1/4 (/.f64 (+.f64 beta 3) alpha)))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 beta 3) (-.f64 1/2 (*.f64 1/4 (+.f64 beta 3)))) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))) (*.f64 1/4 (/.f64 (+.f64 beta 3) alpha)))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 beta 3) (-.f64 1/2 (*.f64 1/4 (+.f64 beta 3)))) (pow.f64 alpha 2))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (-.f64 1/2 (*.f64 1/4 (+.f64 beta 3)))) (pow.f64 alpha 3))) (*.f64 1/2 (/.f64 1 alpha))))) (*.f64 1/4 (/.f64 (+.f64 beta 3) alpha)))
1/2
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 beta 3) alpha)) (+.f64 1/2 (*.f64 1/2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 beta 3) alpha)) (+.f64 1/2 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 1/2 (*.f64 -1/4 (+.f64 beta 3)))) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))))
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 beta 3) alpha)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 1/2 (*.f64 -1/4 (+.f64 beta 3)))) (pow.f64 alpha 3))) (+.f64 1/2 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 1/2 (*.f64 -1/4 (+.f64 beta 3)))) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))))))
(/.f64 -1 (+.f64 3 (*.f64 2 alpha)))
(-.f64 (/.f64 beta (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)) (/.f64 1 (+.f64 3 (*.f64 2 alpha))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 3 (*.f64 2 alpha)) 3))) (/.f64 beta (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2))) (/.f64 1 (+.f64 3 (*.f64 2 alpha))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 3 (*.f64 2 alpha)) 3))) (+.f64 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 (*.f64 2 alpha)) 4)) (/.f64 beta (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)))) (/.f64 1 (+.f64 3 (*.f64 2 alpha))))
(/.f64 -1 beta)
(-.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 2))) (*.f64 2 (/.f64 alpha (pow.f64 beta 2)))) (/.f64 1 beta))
(-.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 beta 3))) (*.f64 2 (/.f64 alpha (pow.f64 beta 2))))) (/.f64 1 beta))
(-.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 alpha (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 3) (pow.f64 beta 4))))) (/.f64 1 beta))
(/.f64 -1 beta)
(-.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 2))) (*.f64 2 (/.f64 alpha (pow.f64 beta 2)))) (/.f64 1 beta))
(-.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 beta 3))) (*.f64 2 (/.f64 alpha (pow.f64 beta 2))))) (/.f64 1 beta))
(-.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 beta 3))) (+.f64 (*.f64 2 (/.f64 alpha (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 3) (pow.f64 beta 4))))) (/.f64 1 beta))
(/.f64 -1 (+.f64 beta 3))
(-.f64 (*.f64 2 (/.f64 alpha (pow.f64 (+.f64 beta 3) 2))) (/.f64 1 (+.f64 beta 3)))
(-.f64 (+.f64 (*.f64 2 (/.f64 alpha (pow.f64 (+.f64 beta 3) 2))) (*.f64 -4 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 3) 3)))) (/.f64 1 (+.f64 beta 3)))
(-.f64 (+.f64 (*.f64 8 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 4))) (+.f64 (*.f64 2 (/.f64 alpha (pow.f64 (+.f64 beta 3) 2))) (*.f64 -4 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 3) 3))))) (/.f64 1 (+.f64 beta 3)))
(/.f64 -1/2 alpha)
(-.f64 (*.f64 1/4 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)))) (*.f64 1/2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (*.f64 1/16 (/.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 4))))) (*.f64 1/2 (/.f64 1 alpha)))
(/.f64 -1/2 alpha)
(-.f64 (*.f64 1/4 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)))) (*.f64 1/2 (/.f64 1 alpha)))
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (*.f64 1/16 (/.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 4))))) (*.f64 1/2 (/.f64 1 alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -3 (fma.f64 alpha 2 beta)))))) 1)
(*.f64 1 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -3 (fma.f64 alpha 2 beta)))))
(*.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) (*.f64 (-.f64 -1 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) (/.f64 (-.f64 -1 alpha) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -1 alpha))))
(*.f64 (-.f64 -1 alpha) (*.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -3 (fma.f64 alpha 2 beta)))))
(*.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta))) (/.f64 1 (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -3 (fma.f64 alpha 2 beta)))) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -3 (fma.f64 alpha 2 beta))))) (sqrt.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -3 (fma.f64 alpha 2 beta))))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))) (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -3 (fma.f64 alpha 2 beta))))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -3 (fma.f64 alpha 2 beta))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -3 (fma.f64 alpha 2 beta))))) 2) (cbrt.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -3 (fma.f64 alpha 2 beta))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta))))
(*.f64 (/.f64 (neg.f64 (-.f64 -1 alpha)) (-.f64 -3 (fma.f64 alpha 2 beta))) (/.f64 1 (-.f64 -3 (+.f64 beta alpha))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (-.f64 -1 alpha) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) (-.f64 -3 (fma.f64 alpha 2 beta)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (-.f64 -1 alpha) (*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) (-.f64 -3 (fma.f64 alpha 2 beta)))))
(*.f64 (/.f64 (-.f64 -1 alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 1 (*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) (-.f64 -3 (fma.f64 alpha 2 beta)))))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -3 (fma.f64 alpha 2 beta)))) (-.f64 -1 alpha))
(*.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) (-.f64 -3 (fma.f64 alpha 2 beta)))) (-.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) (-.f64 -3 (fma.f64 alpha 2 beta)))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(*.f64 (/.f64 1 (*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) (-.f64 -3 (fma.f64 alpha 2 beta)))) (/.f64 (-.f64 -1 alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2) (-.f64 -3 (fma.f64 alpha 2 beta)))) (/.f64 (-.f64 -1 alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) (-.f64 -3 (fma.f64 alpha 2 beta)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (cbrt.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -3 (fma.f64 alpha 2 beta))))))
(pow.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -3 (fma.f64 alpha 2 beta)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -3 (fma.f64 alpha 2 beta))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -3 (fma.f64 alpha 2 beta))))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -3 (fma.f64 alpha 2 beta)))) 3) 1/3)
(pow.f64 (*.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -1 alpha))) -1)
(neg.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (-.f64 -3 (+.f64 beta alpha)) (-.f64 -3 (fma.f64 alpha 2 beta)))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -3 (fma.f64 alpha 2 beta)))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -3 (fma.f64 alpha 2 beta))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -3 (fma.f64 alpha 2 beta)))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -3 (fma.f64 alpha 2 beta)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta))) 3) (pow.f64 (+.f64 beta (+.f64 alpha 3)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -3 (fma.f64 alpha 2 beta))))))
(exp.f64 (log.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -3 (fma.f64 alpha 2 beta))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -3 (fma.f64 alpha 2 beta))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -3 (fma.f64 alpha 2 beta))))))
(+.f64 (*.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) -1) (*.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) (neg.f64 alpha)))
(+.f64 (*.f64 -1 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))) (*.f64 (neg.f64 alpha) (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))))
(+.f64 (*.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) (neg.f64 alpha)) (*.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) -1))
(+.f64 (*.f64 (neg.f64 alpha) (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))) (*.f64 -1 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta))))) 1)
(-.f64 (/.f64 -1 (-.f64 -3 (fma.f64 alpha 2 beta))) (/.f64 alpha (-.f64 -3 (fma.f64 alpha 2 beta))))
(/.f64 1 (/.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) (-.f64 -1 alpha)))
(/.f64 1 (*.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) (/.f64 (+.f64 alpha -1) (-.f64 1 (*.f64 alpha alpha)))))
(/.f64 1 (*.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) (/.f64 (+.f64 1 (*.f64 alpha (+.f64 alpha -1))) (-.f64 -1 (pow.f64 alpha 3)))))
(/.f64 1 (*.f64 1 (/.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) (-.f64 -1 alpha))))
(/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))
(/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta))) 1)
(/.f64 (sqrt.f64 (-.f64 -1 alpha)) (/.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) (sqrt.f64 (-.f64 -1 alpha))))
(/.f64 (sqrt.f64 (-.f64 -1 alpha)) (*.f64 1 (/.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) (sqrt.f64 (-.f64 -1 alpha)))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) (/.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) (cbrt.f64 (-.f64 -1 alpha))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) (*.f64 1 (/.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) (cbrt.f64 (-.f64 -1 alpha)))))
(/.f64 (-.f64 1 (*.f64 alpha alpha)) (*.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) (+.f64 alpha -1)))
(/.f64 (-.f64 1 (*.f64 alpha alpha)) (*.f64 1 (*.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) (+.f64 alpha -1))))
(/.f64 (-.f64 -1 (pow.f64 alpha 3)) (*.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) (+.f64 1 (*.f64 alpha (+.f64 alpha -1)))))
(/.f64 (-.f64 -1 (pow.f64 alpha 3)) (*.f64 1 (*.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) (+.f64 1 (*.f64 alpha (+.f64 alpha -1))))))
(/.f64 (sqrt.f64 (-.f64 -1 (pow.f64 alpha 3))) (*.f64 (/.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) (sqrt.f64 (-.f64 -1 alpha))) (sqrt.f64 (+.f64 1 (*.f64 alpha (+.f64 alpha -1))))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 alpha alpha))) (*.f64 (/.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) (sqrt.f64 (-.f64 -1 alpha))) (sqrt.f64 (+.f64 alpha -1))))
(/.f64 (*.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) (-.f64 1 (*.f64 alpha alpha))) (+.f64 alpha -1))
(/.f64 (*.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) (-.f64 -1 (pow.f64 alpha 3))) (+.f64 1 (*.f64 alpha (+.f64 alpha -1))))
(/.f64 (*.f64 (-.f64 -1 alpha) -1) (+.f64 3 (fma.f64 alpha 2 beta)))
(/.f64 (*.f64 -1 (-.f64 -1 alpha)) (+.f64 3 (fma.f64 alpha 2 beta)))
(/.f64 (*.f64 (-.f64 1 (*.f64 alpha alpha)) (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))) (+.f64 alpha -1))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 alpha 3)) (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))) (+.f64 1 (*.f64 alpha (+.f64 alpha -1))))
(/.f64 (/.f64 (-.f64 -1 alpha) (sqrt.f64 (-.f64 -3 (fma.f64 alpha 2 beta)))) (sqrt.f64 (-.f64 -3 (fma.f64 alpha 2 beta))))
(/.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (cbrt.f64 (-.f64 -3 (fma.f64 alpha 2 beta))) 2)) (cbrt.f64 (-.f64 -3 (fma.f64 alpha 2 beta))))
(/.f64 (neg.f64 (-.f64 -1 alpha)) (+.f64 3 (fma.f64 alpha 2 beta)))
(/.f64 (-.f64 1 (*.f64 (neg.f64 alpha) (neg.f64 alpha))) (*.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) (+.f64 alpha -1)))
(/.f64 (-.f64 1 (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha))) (*.f64 (*.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) (+.f64 alpha -1)) (+.f64 1 (*.f64 alpha alpha))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 alpha 3) (pow.f64 alpha 3))) (*.f64 (*.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) (+.f64 1 (*.f64 alpha (+.f64 alpha -1)))) (+.f64 -1 (pow.f64 alpha 3))))
(/.f64 (+.f64 -1 (pow.f64 (neg.f64 alpha) 3)) (*.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) (+.f64 1 (-.f64 (*.f64 (neg.f64 alpha) (neg.f64 alpha)) (*.f64 -1 (neg.f64 alpha))))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 alpha alpha) 3)) (*.f64 (*.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) (+.f64 alpha -1)) (+.f64 1 (+.f64 (*.f64 alpha alpha) (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha))))))
(/.f64 (-.f64 -1 (pow.f64 (pow.f64 alpha 3) 3)) (*.f64 (*.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) (+.f64 1 (*.f64 alpha (+.f64 alpha -1)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 alpha 3)) (*.f64 -1 (pow.f64 alpha 3))))))
(/.f64 (*.f64 -1 (-.f64 1 (*.f64 alpha alpha))) (*.f64 (+.f64 3 (fma.f64 alpha 2 beta)) (+.f64 alpha -1)))
(/.f64 (*.f64 -1 (-.f64 1 (*.f64 alpha alpha))) (*.f64 1 (*.f64 (+.f64 3 (fma.f64 alpha 2 beta)) (+.f64 alpha -1))))
(/.f64 (*.f64 -1 (-.f64 -1 (pow.f64 alpha 3))) (*.f64 (+.f64 3 (fma.f64 alpha 2 beta)) (+.f64 1 (*.f64 alpha (+.f64 alpha -1)))))
(/.f64 (*.f64 -1 (-.f64 -1 (pow.f64 alpha 3))) (*.f64 1 (*.f64 (+.f64 3 (fma.f64 alpha 2 beta)) (+.f64 1 (*.f64 alpha (+.f64 alpha -1))))))
(/.f64 (*.f64 (-.f64 1 (*.f64 alpha alpha)) 1) (*.f64 (+.f64 alpha -1) (-.f64 -3 (fma.f64 alpha 2 beta))))
(/.f64 (*.f64 (-.f64 1 (*.f64 alpha alpha)) 1) (*.f64 1 (*.f64 (+.f64 alpha -1) (-.f64 -3 (fma.f64 alpha 2 beta)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 alpha alpha)) -1) (*.f64 (+.f64 alpha -1) (+.f64 3 (fma.f64 alpha 2 beta))))
(/.f64 (*.f64 (-.f64 1 (*.f64 alpha alpha)) -1) (*.f64 1 (*.f64 (+.f64 alpha -1) (+.f64 3 (fma.f64 alpha 2 beta)))))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 alpha 3)) 1) (*.f64 (+.f64 1 (*.f64 alpha (+.f64 alpha -1))) (-.f64 -3 (fma.f64 alpha 2 beta))))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 alpha 3)) 1) (*.f64 1 (*.f64 (+.f64 1 (*.f64 alpha (+.f64 alpha -1))) (-.f64 -3 (fma.f64 alpha 2 beta)))))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 alpha 3)) -1) (*.f64 (+.f64 1 (*.f64 alpha (+.f64 alpha -1))) (+.f64 3 (fma.f64 alpha 2 beta))))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 alpha 3)) -1) (*.f64 1 (*.f64 (+.f64 1 (*.f64 alpha (+.f64 alpha -1))) (+.f64 3 (fma.f64 alpha 2 beta)))))
(/.f64 (neg.f64 (-.f64 1 (*.f64 alpha alpha))) (*.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) (neg.f64 (+.f64 alpha -1))))
(/.f64 (neg.f64 (-.f64 -1 (pow.f64 alpha 3))) (*.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) (neg.f64 (+.f64 1 (*.f64 alpha (+.f64 alpha -1))))))
(pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta))) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta))) 3))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) 3)) (pow.f64 (-.f64 -1 alpha) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 -1 alpha) 3) (/.f64 1 (pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) 3))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 -1 alpha) 3) (pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))))
(exp.f64 (log.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))))) 1)
(*.f64 1 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))))
(*.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) 1)
(*.f64 -1 (/.f64 1 (+.f64 3 (fma.f64 alpha 2 beta))))
(*.f64 (pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) -1/2) (pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 -3 (fma.f64 alpha 2 beta)))) (cbrt.f64 (pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) -2)) (/.f64 1 (cbrt.f64 (-.f64 -3 (fma.f64 alpha 2 beta)))))
(*.f64 (/.f64 1 (-.f64 9 (pow.f64 (fma.f64 alpha 2 beta) 2))) (+.f64 -3 (fma.f64 alpha 2 beta)))
(*.f64 (/.f64 1 (-.f64 -27 (pow.f64 (fma.f64 alpha 2 beta) 3))) (+.f64 9 (*.f64 (fma.f64 alpha 2 beta) (+.f64 -3 (fma.f64 alpha 2 beta)))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 -3 (fma.f64 alpha 2 beta))) -1) (pow.f64 (sqrt.f64 (-.f64 -3 (fma.f64 alpha 2 beta))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 -3 (fma.f64 alpha 2 beta))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 -3 (fma.f64 alpha 2 beta))) -1))
(pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) -1)
(pow.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) 1)
(pow.f64 (pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 -3 (fma.f64 alpha 2 beta)))) 3)
(pow.f64 (/.f64 1 (pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) 3)) 1/3)
(sqrt.f64 (pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))))))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))))
(exp.f64 (neg.f64 (log.f64 (-.f64 -3 (fma.f64 alpha 2 beta)))))
(exp.f64 (*.f64 (log.f64 (-.f64 -3 (fma.f64 alpha 2 beta))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 -3 (fma.f64 alpha 2 beta)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))))
Outputs
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 alpha 2)) (+.f64 alpha 3)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 6 (+.f64 alpha (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))))
(fma.f64 -1 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 (*.f64 alpha 2)) 2)) (/.f64 (*.f64 beta (+.f64 6 (*.f64 3 alpha))) (pow.f64 (+.f64 alpha 3) 2))) (+.f64 (/.f64 alpha (*.f64 (+.f64 3 (*.f64 alpha 2)) (+.f64 alpha 3))) (/.f64 1 (*.f64 (+.f64 3 (*.f64 alpha 2)) (+.f64 alpha 3)))))
(+.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 3 (*.f64 alpha 2)) 2) (/.f64 (+.f64 6 (*.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 alpha 3) 2) beta)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 3 (*.f64 alpha 2)) (+.f64 alpha 3))) (/.f64 (/.f64 1 (+.f64 alpha 3)) (+.f64 3 (*.f64 alpha 2)))))
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(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (/.f64 (*.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 (+.f64 beta 3) 2))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3))))) (pow.f64 (+.f64 beta 3) 2))) (*.f64 2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))))) (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (/.f64 (*.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 2))) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))))))
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(fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (/.f64 (pow.f64 (+.f64 3 beta) 2) (+.f64 (/.f64 2 (pow.f64 (+.f64 3 beta) 4)) (*.f64 (/.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (pow.f64 (+.f64 3 beta) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 2)) (+.f64 (/.f64 3 (pow.f64 (+.f64 3 beta) 4)) (+.f64 (/.f64 2 (pow.f64 (+.f64 3 beta) 3)) (/.f64 beta (pow.f64 (+.f64 3 beta) 4))))))))) (/.f64 2 (/.f64 (pow.f64 (+.f64 3 beta) 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 2)) (+.f64 (/.f64 3 (pow.f64 (+.f64 3 beta) 4)) (+.f64 (/.f64 2 (pow.f64 (+.f64 3 beta) 3)) (/.f64 beta (pow.f64 (+.f64 3 beta) 4)))))))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 2)) (fma.f64 -1 (*.f64 alpha (*.f64 alpha (+.f64 (/.f64 2 (pow.f64 (+.f64 3 beta) 4)) (*.f64 (/.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (pow.f64 (+.f64 3 beta) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 2)) (+.f64 (/.f64 3 (pow.f64 (+.f64 3 beta) 4)) (+.f64 (/.f64 2 (pow.f64 (+.f64 3 beta) 3)) (/.f64 beta (pow.f64 (+.f64 3 beta) 4))))))))) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 2)) (+.f64 (/.f64 3 (pow.f64 (+.f64 3 beta) 4)) (+.f64 (/.f64 2 (pow.f64 (+.f64 3 beta) 3)) (/.f64 beta (pow.f64 (+.f64 3 beta) 4)))))))))
(/.f64 1/2 alpha)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (/.f64 1/2 alpha)) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (*.f64 alpha alpha))))
(+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (-.f64 (/.f64 1/2 alpha) (/.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (/.f64 (*.f64 alpha alpha) 1/4))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (*.f64 1/4 (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
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(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (pow.f64 (+.f64 beta 3) 2))) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (*.f64 1/4 (pow.f64 (+.f64 beta 3) 2))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3))))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (*.f64 1/4 (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))))) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
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(+.f64 (fma.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 (pow.f64 (+.f64 3 beta) 2) (+.f64 1/2 (*.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) -1/4))) (*.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (*.f64 (fma.f64 1/2 (*.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (+.f64 1/2 (*.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) -1/4))) (*.f64 (pow.f64 (+.f64 3 beta) 2) 1/4)) -1/2))) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (+.f64 1/2 (*.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) -1/4))) (*.f64 (pow.f64 (+.f64 3 beta) 2) 1/4)) (pow.f64 alpha 3)) (+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (/.f64 1/2 alpha)))) (*.f64 (/.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (*.f64 alpha alpha)) -1/4))
(/.f64 1/2 alpha)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (/.f64 1/2 alpha)) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (*.f64 alpha alpha))))
(+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (-.f64 (/.f64 1/2 alpha) (/.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (/.f64 (*.f64 alpha alpha) 1/4))))
(-.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3))))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))))) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
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(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3))))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (pow.f64 (+.f64 beta 3) 2))) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 beta 3) 2)) (*.f64 -1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3))))))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3))))))) (pow.f64 alpha 4))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))))) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(+.f64 (fma.f64 -1/2 (/.f64 (+.f64 1/2 (*.f64 -1/4 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))))) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))))) (fma.f64 -1/4 (/.f64 (pow.f64 (+.f64 3 beta) 2) (pow.f64 alpha 3)) (fma.f64 -1 (/.f64 (*.f64 1/2 (+.f64 (*.f64 (pow.f64 (+.f64 3 beta) 2) (+.f64 1/2 (*.f64 -1/4 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6)))))) (*.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (fma.f64 -1/4 (pow.f64 (+.f64 3 beta) 2) (*.f64 (*.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (+.f64 1/2 (*.f64 -1/4 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6)))))) -1/2))))) (pow.f64 alpha 4)) (+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (/.f64 1/2 alpha))))) (*.f64 -1/4 (/.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (*.f64 alpha alpha))))
(+.f64 (+.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (+.f64 3 beta) 2) (pow.f64 alpha 3)) (fma.f64 -1/2 (/.f64 (+.f64 1/2 (*.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) -1/4)) (/.f64 (pow.f64 alpha 3) (+.f64 beta (+.f64 (*.f64 2 beta) 9)))) (+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (/.f64 1/2 alpha)))) (/.f64 (*.f64 -1/2 (+.f64 (*.f64 (pow.f64 (+.f64 3 beta) 2) (+.f64 1/2 (*.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) -1/4))) (*.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (fma.f64 -1/4 (pow.f64 (+.f64 3 beta) 2) (*.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (+.f64 -1/4 (*.f64 -1/2 (*.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) -1/4)))))))) (pow.f64 alpha 4))) (*.f64 (/.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (*.f64 alpha alpha)) -1/4))
(/.f64 (+.f64 1 alpha) (+.f64 3 (*.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (+.f64 3 (*.f64 alpha 2)))
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)) (/.f64 1 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2))))) (+.f64 (/.f64 alpha (+.f64 3 (*.f64 2 alpha))) (/.f64 1 (+.f64 3 (*.f64 2 alpha)))))
(fma.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 (*.f64 alpha 2)) 2)) (/.f64 1 (pow.f64 (+.f64 3 (*.f64 alpha 2)) 2)))) (+.f64 (/.f64 alpha (+.f64 3 (*.f64 alpha 2))) (/.f64 1 (+.f64 3 (*.f64 alpha 2)))))
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)) (/.f64 1 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2))))) (+.f64 (/.f64 alpha (+.f64 3 (*.f64 2 alpha))) (+.f64 (/.f64 1 (+.f64 3 (*.f64 2 alpha))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)) (/.f64 1 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)))) (+.f64 3 (*.f64 2 alpha))))))
(fma.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 (*.f64 alpha 2)) 2)) (/.f64 1 (pow.f64 (+.f64 3 (*.f64 alpha 2)) 2)))) (+.f64 (/.f64 alpha (+.f64 3 (*.f64 alpha 2))) (+.f64 (/.f64 1 (+.f64 3 (*.f64 alpha 2))) (/.f64 (*.f64 beta beta) (/.f64 (+.f64 3 (*.f64 alpha 2)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 (*.f64 alpha 2)) 2)) (/.f64 1 (pow.f64 (+.f64 3 (*.f64 alpha 2)) 2))))))))
(+.f64 (fma.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 (*.f64 alpha 2)) 2)) (/.f64 1 (pow.f64 (+.f64 3 (*.f64 alpha 2)) 2)))) (+.f64 (/.f64 alpha (+.f64 3 (*.f64 alpha 2))) (/.f64 1 (+.f64 3 (*.f64 alpha 2))))) (*.f64 (/.f64 (*.f64 beta beta) (+.f64 3 (*.f64 alpha 2))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 (*.f64 alpha 2)) 2)) (/.f64 1 (pow.f64 (+.f64 3 (*.f64 alpha 2)) 2)))))
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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 beta 3))
(/.f64 1 (+.f64 3 beta))
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1/2
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(fma.f64 -1/4 (/.f64 (+.f64 3 beta) alpha) (+.f64 1/2 (/.f64 1/2 alpha)))
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1/2
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(/.f64 -1 (+.f64 3 (*.f64 2 alpha)))
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(/.f64 -1 beta)
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(/.f64 -1 beta)
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(/.f64 -1 (+.f64 beta 3))
(/.f64 -1 (+.f64 3 beta))
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(/.f64 (*.f64 (-.f64 1 (*.f64 alpha alpha)) -1) (*.f64 1 (*.f64 (+.f64 alpha -1) (+.f64 3 (fma.f64 alpha 2 beta)))))
(/.f64 (neg.f64 (-.f64 1 (*.f64 alpha alpha))) (*.f64 (+.f64 alpha -1) (+.f64 3 (fma.f64 alpha 2 beta))))
(/.f64 (/.f64 (+.f64 -1 (*.f64 alpha alpha)) (+.f64 alpha -1)) (+.f64 3 (fma.f64 alpha 2 beta)))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 alpha 3)) 1) (*.f64 (+.f64 1 (*.f64 alpha (+.f64 alpha -1))) (-.f64 -3 (fma.f64 alpha 2 beta))))
(/.f64 (-.f64 -1 (pow.f64 alpha 3)) (*.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) (+.f64 1 (*.f64 alpha (+.f64 alpha -1)))))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 alpha 3)) 1) (*.f64 1 (*.f64 (+.f64 1 (*.f64 alpha (+.f64 alpha -1))) (-.f64 -3 (fma.f64 alpha 2 beta)))))
(/.f64 (-.f64 -1 (pow.f64 alpha 3)) (*.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) (+.f64 1 (*.f64 alpha (+.f64 alpha -1)))))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 alpha 3)) -1) (*.f64 (+.f64 1 (*.f64 alpha (+.f64 alpha -1))) (+.f64 3 (fma.f64 alpha 2 beta))))
(/.f64 (neg.f64 (-.f64 -1 (pow.f64 alpha 3))) (*.f64 (+.f64 1 (*.f64 alpha (+.f64 alpha -1))) (+.f64 3 (fma.f64 alpha 2 beta))))
(/.f64 (+.f64 1 (pow.f64 alpha 3)) (*.f64 (+.f64 1 (*.f64 alpha (+.f64 alpha -1))) (+.f64 3 (fma.f64 alpha 2 beta))))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 alpha 3)) -1) (*.f64 1 (*.f64 (+.f64 1 (*.f64 alpha (+.f64 alpha -1))) (+.f64 3 (fma.f64 alpha 2 beta)))))
(/.f64 (neg.f64 (-.f64 -1 (pow.f64 alpha 3))) (*.f64 (+.f64 1 (*.f64 alpha (+.f64 alpha -1))) (+.f64 3 (fma.f64 alpha 2 beta))))
(/.f64 (+.f64 1 (pow.f64 alpha 3)) (*.f64 (+.f64 1 (*.f64 alpha (+.f64 alpha -1))) (+.f64 3 (fma.f64 alpha 2 beta))))
(/.f64 (neg.f64 (-.f64 1 (*.f64 alpha alpha))) (*.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) (neg.f64 (+.f64 alpha -1))))
(/.f64 (neg.f64 (-.f64 1 (*.f64 alpha alpha))) (*.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) (+.f64 (neg.f64 alpha) 1)))
(/.f64 (/.f64 (+.f64 -1 (*.f64 alpha alpha)) (-.f64 1 alpha)) (-.f64 -3 (fma.f64 alpha 2 beta)))
(/.f64 (neg.f64 (-.f64 -1 (pow.f64 alpha 3))) (*.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) (neg.f64 (+.f64 1 (*.f64 alpha (+.f64 alpha -1))))))
(/.f64 (+.f64 1 (pow.f64 alpha 3)) (*.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) (-.f64 -1 (*.f64 alpha (+.f64 alpha -1)))))
(pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta))) 1)
(*.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) (-.f64 -1 alpha))
(/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))) 3)
(*.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) (-.f64 -1 alpha))
(/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta))) 3) 1/3)
(*.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) (-.f64 -1 alpha))
(/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))))
(*.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) (-.f64 -1 alpha))
(/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta))))))
(*.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) (-.f64 -1 alpha))
(/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta))) 3))
(*.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) (-.f64 -1 alpha))
(/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) 3)) (pow.f64 (-.f64 -1 alpha) 3)))
(*.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) (-.f64 -1 alpha))
(/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 -1 alpha) 3) (/.f64 1 (pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) 3))))
(*.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) (-.f64 -1 alpha))
(/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 -1 alpha) 3) (pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) 3)))
(*.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) (-.f64 -1 alpha))
(/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))))
(*.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) (-.f64 -1 alpha))
(/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))
(exp.f64 (log.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))))
(*.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) (-.f64 -1 alpha))
(/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))) 1))
(*.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) (-.f64 -1 alpha))
(/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))))
(*.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) (-.f64 -1 alpha))
(/.f64 (-.f64 -1 alpha) (-.f64 -3 (fma.f64 alpha 2 beta)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))))) 1)
(/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))
(*.f64 1 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))))
(/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))
(*.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) 1)
(/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))
(*.f64 -1 (/.f64 1 (+.f64 3 (fma.f64 alpha 2 beta))))
(/.f64 -1 (+.f64 3 (fma.f64 alpha 2 beta)))
(*.f64 (pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) -1/2) (pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) -1/2))
(/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 -3 (fma.f64 alpha 2 beta)))) (cbrt.f64 (pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) -2)) (/.f64 1 (cbrt.f64 (-.f64 -3 (fma.f64 alpha 2 beta)))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 -3 (fma.f64 alpha 2 beta)))) (cbrt.f64 (pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) -2)))
(*.f64 (/.f64 1 (-.f64 9 (pow.f64 (fma.f64 alpha 2 beta) 2))) (+.f64 -3 (fma.f64 alpha 2 beta)))
(*.f64 (/.f64 1 (-.f64 -27 (pow.f64 (fma.f64 alpha 2 beta) 3))) (+.f64 9 (*.f64 (fma.f64 alpha 2 beta) (+.f64 -3 (fma.f64 alpha 2 beta)))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 -3 (fma.f64 alpha 2 beta))) -1) (pow.f64 (sqrt.f64 (-.f64 -3 (fma.f64 alpha 2 beta))) -1))
(pow.f64 (sqrt.f64 (-.f64 -3 (fma.f64 alpha 2 beta))) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 -3 (fma.f64 alpha 2 beta))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 -3 (fma.f64 alpha 2 beta))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 -3 (fma.f64 alpha 2 beta)))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -3 (fma.f64 alpha 2 beta))) 2)))
(pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) -1)
(/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))
(pow.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))) 1)
(/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))
(pow.f64 (pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) -1/2) 2)
(/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 -3 (fma.f64 alpha 2 beta)))) 3)
(pow.f64 (/.f64 1 (pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) 3)))
(sqrt.f64 (pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))))
(/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta))))))
(/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 -3 (fma.f64 alpha 2 beta)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))))
(/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))
(exp.f64 (neg.f64 (log.f64 (-.f64 -3 (fma.f64 alpha 2 beta)))))
(/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))
(exp.f64 (*.f64 (log.f64 (-.f64 -3 (fma.f64 alpha 2 beta))) -1))
(/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 -3 (fma.f64 alpha 2 beta)))) 1))
(/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))))
(/.f64 1 (-.f64 -3 (fma.f64 alpha 2 beta)))

eval1.3s (6%)

Compiler

Compiled 61954 to 45208 computations (27% saved)

prune828.0ms (3.7%)

Pruning

28 alts after pruning (21 fresh and 7 done)

PrunedKeptTotal
New155781565
Fresh71320
Picked011
Done369
Total1567281595
Error
0b
Counts
1595 → 28
Alt Table
Click to see full alt table
StatusErrorProgram
34.8b
(pow.f64 beta -2)
3.2b
(/.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))))
26.3b
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
31.7b
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
26.7b
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 (+.f64 beta (+.f64 alpha 4)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) beta)))
3.9b
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
0.4b
(/.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))))
32.4b
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
29.0b
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
8.3b
(/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 3 beta) (+.f64 2 beta)) (+.f64 2 beta)))
28.2b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
33.7b
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta 1)) (*.f64 beta beta))
26.4b
(/.f64 (*.f64 (/.f64 1 (-.f64 -3 (+.f64 beta (*.f64 alpha 2)))) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3)))
45.9b
(/.f64 alpha (*.f64 beta beta))
32.6b
(/.f64 1 (*.f64 (/.f64 beta (/.f64 (+.f64 beta 1) beta)) (/.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 1 alpha))))
34.9b
(/.f64 1 (*.f64 beta beta))
62.4b
(/.f64 1/2 alpha)
31.4b
(/.f64 1/6 (+.f64 2 alpha))
33.4b
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
30.9b
(+.f64 1/12 (*.f64 alpha (+.f64 -1/36 (*.f64 -5/432 alpha))))
31.0b
(+.f64 1/12 (*.f64 -1/36 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))))
27.3b
(*.f64 (/.f64 (/.f64 -1 (-.f64 -3 (+.f64 alpha beta))) (-.f64 -3 (+.f64 beta (*.f64 alpha 2)))) (-.f64 -1 alpha))
28.1b
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (*.f64 beta (+.f64 5 (*.f64 2 alpha))))) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
32.4b
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
30.9b
(*.f64 (/.f64 (+.f64 1/2 (*.f64 1/4 alpha)) (+.f64 3 alpha)) (/.f64 1 (+.f64 2 alpha)))
31.0b
(*.f64 (+.f64 1/6 (*.f64 alpha 1/36)) (/.f64 1 (+.f64 2 alpha)))
31.6b
1/12
Compiler

Compiled 436 to 316 computations (27.5% saved)

regimes146.0ms (0.7%)

Counts
64 → 1
Calls
Call 1
Inputs
1/12
(/.f64 1/2 alpha)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(+.f64 1/12 (*.f64 alpha (+.f64 -1/36 (*.f64 -5/432 alpha))))
(/.f64 1/6 (/.f64 (+.f64 2 beta) (+.f64 1 beta)))
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (+.f64 1/6 (*.f64 alpha 1/36)) (/.f64 1 (+.f64 2 alpha)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta 1)) (*.f64 beta beta))
(*.f64 (+.f64 1/6 (*.f64 alpha 1/36)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 1/4 alpha)) (+.f64 3 alpha)) (/.f64 1 (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 3 beta) (+.f64 2 beta)) (+.f64 2 beta)))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha)) (/.f64 1 (+.f64 2 alpha)))
(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 1/4 alpha)) (+.f64 3 alpha)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (/.f64 -1 (-.f64 -3 (+.f64 alpha beta))) (-.f64 -3 (+.f64 beta (*.f64 alpha 2)))) (-.f64 -1 alpha))
(/.f64 1 (*.f64 (/.f64 beta (/.f64 (+.f64 beta 1) beta)) (/.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 1 alpha))))
(/.f64 (*.f64 (/.f64 1 (-.f64 -3 (+.f64 beta (*.f64 alpha 2)))) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (/.f64 (+.f64 alpha 3) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 (+.f64 beta 3) alpha))) (/.f64 (+.f64 beta 1) (+.f64 beta (+.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 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 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (/.f64 (-.f64 -2 (+.f64 beta alpha)) (/.f64 (-.f64 -1 beta) (+.f64 (+.f64 2 alpha) beta)))) (+.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 1 beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 (+.f64 beta (+.f64 alpha 4)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) beta)))
(/.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 1 alpha) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (*.f64 beta (+.f64 5 (*.f64 2 alpha))))) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (+.f64 5 (*.f64 2 beta)) alpha))) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
(/.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 1 beta) (+.f64 2 (+.f64 alpha beta))) (+.f64 (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 2 alpha)) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) beta)))
(/.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 (+.f64 beta 1) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))) (pow.f64 (+.f64 beta (+.f64 2 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 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
(/.f64 (/.f64 (*.f64 (fma.f64 beta beta -1) (+.f64 alpha 1)) (*.f64 (+.f64 beta -1) (+.f64 alpha (+.f64 beta 3)))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) 2)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 3 (+.f64 alpha beta)))) 3) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))) 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
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

3 calls:

69.0ms
beta
31.0ms
alpha
20.0ms
(/.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 1176 to 783 computations (33.4% saved)

regimes97.0ms (0.4%)

Counts
41 → 2
Calls
Call 1
Inputs
1/12
(/.f64 1/2 alpha)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(+.f64 1/12 (*.f64 alpha (+.f64 -1/36 (*.f64 -5/432 alpha))))
(/.f64 1/6 (/.f64 (+.f64 2 beta) (+.f64 1 beta)))
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (+.f64 1/6 (*.f64 alpha 1/36)) (/.f64 1 (+.f64 2 alpha)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta 1)) (*.f64 beta beta))
(*.f64 (+.f64 1/6 (*.f64 alpha 1/36)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 1/4 alpha)) (+.f64 3 alpha)) (/.f64 1 (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 3 beta) (+.f64 2 beta)) (+.f64 2 beta)))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha)) (/.f64 1 (+.f64 2 alpha)))
(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 1/4 alpha)) (+.f64 3 alpha)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (/.f64 -1 (-.f64 -3 (+.f64 alpha beta))) (-.f64 -3 (+.f64 beta (*.f64 alpha 2)))) (-.f64 -1 alpha))
(/.f64 1 (*.f64 (/.f64 beta (/.f64 (+.f64 beta 1) beta)) (/.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 1 alpha))))
(/.f64 (*.f64 (/.f64 1 (-.f64 -3 (+.f64 beta (*.f64 alpha 2)))) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (/.f64 (+.f64 alpha 3) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 (+.f64 beta 3) alpha))) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
Outputs
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 (+.f64 beta 3) alpha))) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))
Calls

2 calls:

49.0ms
beta
35.0ms
alpha
Results
ErrorSegmentsBranch
0.5b2alpha
0.4b2beta
Compiler

Compiled 543 to 367 computations (32.4% saved)

bsearch5.0ms (0%)

Algorithm
binary-search
Steps
TimeLeftRight
5.0ms
2.3935617339355756e+34
1.570936832892762e+35
Results
4.0ms32×body256valid
Compiler

Compiled 150 to 106 computations (29.3% saved)

regimes133.0ms (0.6%)

Counts
40 → 2
Calls
Call 1
Inputs
1/12
(/.f64 1/2 alpha)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(+.f64 1/12 (*.f64 alpha (+.f64 -1/36 (*.f64 -5/432 alpha))))
(/.f64 1/6 (/.f64 (+.f64 2 beta) (+.f64 1 beta)))
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (+.f64 1/6 (*.f64 alpha 1/36)) (/.f64 1 (+.f64 2 alpha)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta 1)) (*.f64 beta beta))
(*.f64 (+.f64 1/6 (*.f64 alpha 1/36)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 1/4 alpha)) (+.f64 3 alpha)) (/.f64 1 (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 3 beta) (+.f64 2 beta)) (+.f64 2 beta)))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha)) (/.f64 1 (+.f64 2 alpha)))
(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 1/4 alpha)) (+.f64 3 alpha)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (/.f64 -1 (-.f64 -3 (+.f64 alpha beta))) (-.f64 -3 (+.f64 beta (*.f64 alpha 2)))) (-.f64 -1 alpha))
(/.f64 1 (*.f64 (/.f64 beta (/.f64 (+.f64 beta 1) beta)) (/.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 1 alpha))))
(/.f64 (*.f64 (/.f64 1 (-.f64 -3 (+.f64 beta (*.f64 alpha 2)))) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (/.f64 (+.f64 alpha 3) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))
Outputs
(+.f64 1/12 (*.f64 alpha (+.f64 -1/36 (*.f64 -5/432 alpha))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta)))
Calls

2 calls:

81.0ms
alpha
41.0ms
beta
Results
ErrorSegmentsBranch
1.4b2alpha
1.1b2beta
Compiler

Compiled 518 to 350 computations (32.4% saved)

bsearch22.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
0.14350801616946982
50.11743769810957
Results
19.0ms128×body256valid
Compiler

Compiled 346 to 260 computations (24.9% saved)

regimes95.0ms (0.4%)

Counts
39 → 2
Calls
Call 1
Inputs
1/12
(/.f64 1/2 alpha)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(+.f64 1/12 (*.f64 alpha (+.f64 -1/36 (*.f64 -5/432 alpha))))
(/.f64 1/6 (/.f64 (+.f64 2 beta) (+.f64 1 beta)))
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (+.f64 1/6 (*.f64 alpha 1/36)) (/.f64 1 (+.f64 2 alpha)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta 1)) (*.f64 beta beta))
(*.f64 (+.f64 1/6 (*.f64 alpha 1/36)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 1/4 alpha)) (+.f64 3 alpha)) (/.f64 1 (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 3 beta) (+.f64 2 beta)) (+.f64 2 beta)))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha)) (/.f64 1 (+.f64 2 alpha)))
(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 1/4 alpha)) (+.f64 3 alpha)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (/.f64 -1 (-.f64 -3 (+.f64 alpha beta))) (-.f64 -3 (+.f64 beta (*.f64 alpha 2)))) (-.f64 -1 alpha))
(/.f64 1 (*.f64 (/.f64 beta (/.f64 (+.f64 beta 1) beta)) (/.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 1 alpha))))
(/.f64 (*.f64 (/.f64 1 (-.f64 -3 (+.f64 beta (*.f64 alpha 2)))) (-.f64 -1 alpha)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 2)) (/.f64 (+.f64 alpha 3) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))))
Outputs
(+.f64 1/12 (*.f64 alpha (+.f64 -1/36 (*.f64 -5/432 alpha))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
Calls

2 calls:

50.0ms
beta
34.0ms
alpha
Results
ErrorSegmentsBranch
1.5b2alpha
1.1b2beta
Compiler

Compiled 495 to 334 computations (32.5% saved)

bsearch20.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
0.14350801616946982
50.11743769810957
Results
17.0ms128×body256valid
Compiler

Compiled 298 to 228 computations (23.5% saved)

regimes61.0ms (0.3%)

Counts
28 → 2
Calls
Call 1
Inputs
1/12
(/.f64 1/2 alpha)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(+.f64 1/12 (*.f64 alpha (+.f64 -1/36 (*.f64 -5/432 alpha))))
(/.f64 1/6 (/.f64 (+.f64 2 beta) (+.f64 1 beta)))
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (+.f64 1/6 (*.f64 alpha 1/36)) (/.f64 1 (+.f64 2 alpha)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta 1)) (*.f64 beta beta))
(*.f64 (+.f64 1/6 (*.f64 alpha 1/36)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 1/4 alpha)) (+.f64 3 alpha)) (/.f64 1 (+.f64 2 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 3 beta) (+.f64 2 beta)) (+.f64 2 beta)))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (+.f64 3 alpha)) (/.f64 1 (+.f64 2 alpha)))
(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (*.f64 beta beta))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
Outputs
(+.f64 1/12 (*.f64 alpha (+.f64 -1/36 (*.f64 -5/432 alpha))))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
Calls

2 calls:

28.0ms
beta
26.0ms
alpha
Results
ErrorSegmentsBranch
1.6b2alpha
1.3b2beta
Compiler

Compiled 284 to 187 computations (34.2% saved)

bsearch21.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
0.14350801616946982
50.11743769810957
Results
19.0ms128×body256valid
Compiler

Compiled 250 to 188 computations (24.8% saved)

regimes74.0ms (0.3%)

Counts
18 → 2
Calls
Call 1
Inputs
1/12
(/.f64 1/2 alpha)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(+.f64 1/12 (*.f64 alpha (+.f64 -1/36 (*.f64 -5/432 alpha))))
(/.f64 1/6 (/.f64 (+.f64 2 beta) (+.f64 1 beta)))
(*.f64 1/6 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha))))
(*.f64 (+.f64 1/6 (*.f64 alpha 1/36)) (/.f64 1 (+.f64 2 alpha)))
(+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
Outputs
(+.f64 1/12 (*.f64 alpha (+.f64 -1/36 (*.f64 -5/432 alpha))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
Calls

2 calls:

44.0ms
beta
26.0ms
alpha
Results
ErrorSegmentsBranch
17.4b3alpha
1.3b2beta
Compiler

Compiled 138 to 89 computations (35.5% saved)

bsearch20.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
0.14350801616946982
50.11743769810957
Results
18.0ms128×body256valid
Compiler

Compiled 218 to 164 computations (24.8% saved)

regimes74.0ms (0.3%)

Counts
12 → 2
Calls
Call 1
Inputs
1/12
(/.f64 1/2 alpha)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
Outputs
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
Calls

2 calls:

55.0ms
alpha
16.0ms
beta
Results
ErrorSegmentsBranch
18.1b4alpha
1.5b2beta
Compiler

Compiled 76 to 47 computations (38.2% saved)

bsearch19.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
0.14350801616946982
50.11743769810957
Results
17.0ms128×body256valid
Compiler

Compiled 186 to 140 computations (24.7% saved)

regimes74.0ms (0.3%)

Counts
9 → 2
Calls
Call 1
Inputs
1/12
(/.f64 1/2 alpha)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
Outputs
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
Calls

2 calls:

60.0ms
alpha
12.0ms
beta
Results
ErrorSegmentsBranch
19.1b4alpha
2.5b2beta
Compiler

Compiled 53 to 33 computations (37.7% saved)

bsearch19.0ms (0.1%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
0.14350801616946982
50.11743769810957
Results
17.0ms128×body256valid
Compiler

Compiled 186 to 140 computations (24.7% saved)

regimes45.0ms (0.2%)

Counts
7 → 2
Calls
Call 1
Inputs
1/12
(/.f64 1/2 alpha)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
Outputs
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1 (*.f64 beta beta))
Calls

2 calls:

29.0ms
alpha
14.0ms
beta
Results
ErrorSegmentsBranch
19.4b5alpha
4.1b2beta
Compiler

Compiled 39 to 26 computations (33.3% saved)

bsearch38.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
38.0ms
0.14350801616946982
50.11743769810957
Results
37.0ms128×body256valid
Compiler

Compiled 170 to 132 computations (22.4% saved)

regimes9.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
1/12
(/.f64 1/2 alpha)
(+.f64 1/12 (*.f64 -1/36 alpha))
(/.f64 1/6 (+.f64 2 alpha))
Outputs
(+.f64 1/12 (*.f64 -1/36 alpha))
Calls

2 calls:

4.0ms
beta
4.0ms
alpha
Results
ErrorSegmentsBranch
31.0b1alpha
31.0b1beta
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes10.0ms (0%)

Accuracy

Total -31.0b remaining (-98%)

Threshold costs -31.0b (-98%)

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

2 calls:

6.0ms
beta
3.0ms
alpha
Results
ErrorSegmentsBranch
31.6b1alpha
31.6b1beta
Compiler

Compiled 12 to 9 computations (25% saved)

simplify17.0ms (0.1%)

Algorithm
egg-herbie
Rules
26×+-commutative
18×*-commutative
sub-neg
1-exp
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076655
1104655
2107655
3109655
4110655
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.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 99999999999999996863366107917975552) (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 (+.f64 beta 3) alpha))) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))) (*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))))
(if (<=.f64 beta 6980579422424269/4503599627370496) (+.f64 1/12 (*.f64 alpha (+.f64 -1/36 (*.f64 -5/432 alpha)))) (*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))))
(if (<=.f64 beta 889460926405673/2251799813685248) (+.f64 1/12 (*.f64 alpha (+.f64 -1/36 (*.f64 -5/432 alpha)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 7/4) (+.f64 1/12 (*.f64 alpha (+.f64 -1/36 (*.f64 -5/432 alpha)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3602879701896397/1125899906842624) (+.f64 1/12 (*.f64 alpha (+.f64 -1/36 (*.f64 -5/432 alpha)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 7656119366529843/2251799813685248) (+.f64 1/12 (*.f64 -1/36 alpha)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 7/2) (+.f64 1/12 (*.f64 -1/36 alpha)) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(if (<=.f64 beta 7/2) (+.f64 1/12 (*.f64 -1/36 alpha)) (/.f64 1 (*.f64 beta beta)))
(+.f64 1/12 (*.f64 -1/36 alpha))
1/12
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))))
(if (<=.f64 beta 99999999999999996863366107917975552) (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 (+.f64 beta 3) alpha))) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 2 alpha)))) (*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))))
(if (<=.f64 beta 99999999999999996863366107917975552) (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.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 beta 3))) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))))
(if (<=.f64 beta 6980579422424269/4503599627370496) (+.f64 1/12 (*.f64 alpha (+.f64 -1/36 (*.f64 -5/432 alpha)))) (*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))))
(if (<=.f64 beta 6980579422424269/4503599627370496) (+.f64 1/12 (*.f64 alpha (+.f64 -1/36 (*.f64 alpha -5/432)))) (*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (+.f64 1 (/.f64 (-.f64 -1 alpha) beta))))
(if (<=.f64 beta 889460926405673/2251799813685248) (+.f64 1/12 (*.f64 alpha (+.f64 -1/36 (*.f64 -5/432 alpha)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 889460926405673/2251799813685248) (+.f64 1/12 (*.f64 alpha (+.f64 -1/36 (*.f64 alpha -5/432)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 7/4) (+.f64 1/12 (*.f64 alpha (+.f64 -1/36 (*.f64 -5/432 alpha)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 7/4) (+.f64 1/12 (*.f64 alpha (+.f64 -1/36 (*.f64 alpha -5/432)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3602879701896397/1125899906842624) (+.f64 1/12 (*.f64 alpha (+.f64 -1/36 (*.f64 -5/432 alpha)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 3602879701896397/1125899906842624) (+.f64 1/12 (*.f64 alpha (+.f64 -1/36 (*.f64 alpha -5/432)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) beta))
(if (<=.f64 beta 7656119366529843/2251799813685248) (+.f64 1/12 (*.f64 -1/36 alpha)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 7656119366529843/2251799813685248) (+.f64 1/12 (*.f64 alpha -1/36)) (/.f64 (/.f64 (+.f64 alpha 1) beta) beta))
(if (<=.f64 beta 7/2) (+.f64 1/12 (*.f64 -1/36 alpha)) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(if (<=.f64 beta 7/2) (+.f64 1/12 (*.f64 alpha -1/36)) (/.f64 (+.f64 alpha 1) (*.f64 beta beta)))
(if (<=.f64 beta 7/2) (+.f64 1/12 (*.f64 -1/36 alpha)) (/.f64 1 (*.f64 beta beta)))
(if (<=.f64 beta 7/2) (+.f64 1/12 (*.f64 alpha -1/36)) (/.f64 1 (*.f64 beta beta)))
(+.f64 1/12 (*.f64 -1/36 alpha))
(+.f64 1/12 (*.f64 alpha -1/36))
1/12
Compiler

Compiled 261 to 191 computations (26.8% saved)

soundness738.0ms (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)

end155.0ms (0.7%)

Compiler

Compiled 295 to 208 computations (29.5% saved)

Profiling

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