Details

Time bar (total: 18.8s)

analyze153.0ms (0.8%)

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)

sample2.1s (11%)

Results
2.1s8256×body256valid
Bogosity

preprocess384.0ms (2%)

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)

simplify682.0ms (3.6%)

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

Useful iterations: 3 (0.0ms)

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

prune145.0ms (0.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New549
Fresh101
Picked000
Done000
Total6410
Error
0.02%
Counts
10 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
5.42%
(/.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))))
0.12%
(/.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)))
5.43%
(/.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))))
12.99%
(/.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)))))
Compiler

Compiled 111 to 74 computations (33.3% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(+.f64 alpha (fma.f64 alpha beta 1))
0.02%
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
0.09%
(*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
12.87%
(/.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)))))
Compiler

Compiled 95 to 58 computations (38.9% saved)

series17.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
2.0ms
beta
@0
(/.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)))))
2.0ms
alpha
@0
(/.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)))))
2.0ms
alpha
@-inf
(/.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)))))
2.0ms
beta
@-inf
(/.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)))))
2.0ms
alpha
@inf
(/.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)))))

rewrite121.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
626×associate-+l+
596×+-commutative
548×associate-+r+
454×add-sqr-sqrt
444×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018134
1429134
26687134
Stop Event
node limit
Counts
4 → 176
Calls
Call 1
Inputs
(/.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 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
(+.f64 alpha (fma.f64 alpha beta 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (*.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (*.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (/.f64 1 (*.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (*.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (+.f64 3 (+.f64 beta alpha)))) (+.f64 2 (+.f64 beta alpha))) (/.f64 (sqrt.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (+.f64 3 (+.f64 beta alpha)))) (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) (*.f64 (sqrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) (/.f64 1 (*.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (*.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (*.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (*.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))) 2) (cbrt.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (*.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) 2) (*.f64 (cbrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) (/.f64 1 (*.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (+.f64 3 (+.f64 beta alpha))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))) (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) (/.f64 1 (*.f64 (+.f64 3 (+.f64 beta alpha)) (neg.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 3 (+.f64 beta alpha))) (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)) (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (+.f64 3 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 2 (+.f64 beta alpha)) (sqrt.f64 (+.f64 3 (+.f64 beta alpha))))) (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (*.f64 (+.f64 2 (+.f64 beta alpha)) (sqrt.f64 (+.f64 3 (+.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 (+.f64 3 (+.f64 beta alpha)) 2) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 4)))) (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (cbrt.f64 (*.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) 1) (/.f64 (sqrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) (*.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) (+.f64 3 (+.f64 beta alpha))) (/.f64 (sqrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) 2) 1) (/.f64 (cbrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) (*.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)) (/.f64 (sqrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) (+.f64 3 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) (cbrt.f64 (*.f64 (pow.f64 (+.f64 3 (+.f64 beta alpha)) 2) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 4)))) (/.f64 (sqrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) (cbrt.f64 (*.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) (*.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (sqrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) 2) (+.f64 3 (+.f64 beta alpha))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 alpha (fma.f64 alpha beta 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha (fma.f64 alpha beta 1))) (/.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (-.f64 alpha (fma.f64 alpha beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 alpha (fma.f64 alpha beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha (fma.f64 alpha beta 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))) (sqrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))) (pow.f64 (cbrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))) 2) (cbrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (fma.f64 alpha beta 1) 2)) (/.f64 1 (-.f64 alpha (fma.f64 alpha beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (/.f64 1 (fma.f64 alpha alpha (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 alpha (fma.f64 alpha beta 1)) (-.f64 (*.f64 alpha alpha) (pow.f64 (fma.f64 alpha beta 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 alpha alpha (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) alpha))) (+.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 alpha beta 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (fma.f64 alpha beta 1) 2)) (-.f64 alpha (fma.f64 alpha beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (fma.f64 alpha alpha (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (+.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (-.f64 (*.f64 alpha alpha) (*.f64 alpha (fma.f64 alpha beta 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (*.f64 alpha alpha)) (-.f64 (fma.f64 alpha beta 1) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (fma.f64 alpha beta 1) 2))) (neg.f64 (-.f64 alpha (fma.f64 alpha beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 alpha beta 1) 3))) (neg.f64 (fma.f64 alpha alpha (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 alpha (fma.f64 alpha beta 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 alpha (fma.f64 alpha beta 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 alpha (fma.f64 alpha beta 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 alpha (fma.f64 alpha beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (fma.f64 alpha beta 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 alpha (fma.f64 alpha beta 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 alpha (fma.f64 alpha beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 alpha (fma.f64 alpha beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 alpha (fma.f64 alpha beta 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 alpha (fma.f64 alpha beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 alpha (fma.f64 alpha beta 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 alpha beta 1) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 alpha beta 1)) (sqrt.f64 (fma.f64 alpha beta 1)) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (fma.f64 alpha beta 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha beta 1)) 2) (cbrt.f64 (fma.f64 alpha beta 1)) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (fma.f64 alpha beta 1))))))

simplify157.0ms (0.8%)

Algorithm
egg-herbie
Rules
1600×distribute-lft-in
1100×associate-*r*
1030×associate-*l*
966×+-commutative
856×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073720422
1250018920
Stop Event
node limit
Counts
272 → 402
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 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (pow.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 alpha) 1))) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (pow.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 alpha) 1))))) (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 alpha) 1))) (pow.f64 beta 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 alpha) 1))) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (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 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) (pow.f64 alpha 2)))
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(*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))
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(pow.f64 alpha 3)
(+.f64 (pow.f64 alpha 3) (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (pow.f64 alpha 2)))
(+.f64 (pow.f64 alpha 3) (+.f64 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (pow.f64 alpha 2)) (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))) alpha)))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 alpha 3) (+.f64 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (pow.f64 alpha 2)) (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))) alpha))))
(pow.f64 alpha 3)
(+.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (pow.f64 alpha 2)) (pow.f64 alpha 3))
(+.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (pow.f64 alpha 2)) (+.f64 (pow.f64 alpha 3) (*.f64 -1 (*.f64 alpha (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (pow.f64 alpha 2)) (+.f64 (pow.f64 alpha 3) (*.f64 -1 (*.f64 alpha (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))))
(*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))
(+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (*.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))))
(+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 beta 2) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))))
(+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 (pow.f64 beta 3) (+.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 beta 2) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))))))
(pow.f64 beta 3)
(+.f64 (pow.f64 beta 3) (*.f64 (pow.f64 beta 2) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))))
(+.f64 (pow.f64 beta 3) (+.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 beta 2) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))))
(+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 (pow.f64 beta 3) (+.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 beta 2) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))))))
(pow.f64 beta 3)
(+.f64 (pow.f64 beta 3) (*.f64 (pow.f64 beta 2) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))
(+.f64 (pow.f64 beta 3) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 (pow.f64 beta 3) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))))
(pow.f64 (+.f64 beta 2) 2)
(+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) alpha) (pow.f64 (+.f64 beta 2) 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 (+.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)
(+.f64 (*.f64 beta (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (*.f64 beta (+.f64 4 (*.f64 2 alpha))) (+.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))
(+.f64 (*.f64 beta (+.f64 4 (*.f64 2 alpha))) (+.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))
(pow.f64 beta 2)
(+.f64 (*.f64 beta (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2))
(+.f64 (*.f64 beta (+.f64 4 (*.f64 2 alpha))) (+.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))
(+.f64 (*.f64 beta (+.f64 4 (*.f64 2 alpha))) (+.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 2)))
(pow.f64 beta 2)
(+.f64 (pow.f64 beta 2) (*.f64 2 (*.f64 beta (+.f64 2 alpha))))
(+.f64 (pow.f64 beta 2) (+.f64 (*.f64 2 (*.f64 beta (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))
(+.f64 (pow.f64 beta 2) (+.f64 (*.f64 2 (*.f64 beta (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))
1
(+.f64 (*.f64 (+.f64 beta 1) alpha) 1)
(+.f64 (*.f64 (+.f64 beta 1) alpha) 1)
(+.f64 (*.f64 (+.f64 beta 1) alpha) 1)
(*.f64 (+.f64 beta 1) alpha)
(+.f64 1 (*.f64 (+.f64 beta 1) alpha))
(+.f64 1 (*.f64 (+.f64 beta 1) alpha))
(+.f64 1 (*.f64 (+.f64 beta 1) alpha))
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(+.f64 (*.f64 beta (+.f64 2 (+.f64 beta alpha))) (+.f64 (*.f64 2 (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(+.f64 (+.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))) (*.f64 alpha (+.f64 beta 2)))
(+.f64 (+.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (+.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 beta 2) (+.f64 beta alpha))) (*.f64 (+.f64 beta 2) 2))
(+.f64 (+.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 2 (+.f64 beta alpha)) 2)) (*.f64 (+.f64 2 (+.f64 beta alpha)) beta))
(+.f64 (+.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 2 (+.f64 beta alpha)) beta)) (*.f64 (+.f64 2 (+.f64 beta alpha)) 2))
(+.f64 (+.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) (*.f64 2 (+.f64 beta 2)))
(+.f64 (+.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) (*.f64 2 (+.f64 2 (+.f64 beta alpha)))) (*.f64 beta (+.f64 2 (+.f64 beta alpha))))
(+.f64 (+.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) (*.f64 beta (+.f64 2 (+.f64 beta alpha)))) (*.f64 2 (+.f64 2 (+.f64 beta alpha))))
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha (+.f64 beta 2))) (*.f64 alpha alpha))
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha (+.f64 beta alpha))) (*.f64 alpha 2))
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 beta alpha) alpha)) (*.f64 2 alpha))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))) 1)
(/.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 (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 2 (+.f64 beta alpha)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (-.f64 alpha beta) 2))
(/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 2 (+.f64 beta alpha))) (-.f64 (-.f64 alpha beta) 2))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 2 (+.f64 beta alpha))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (-.f64 (*.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))))) (-.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))) 3)) (+.f64 (*.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))) (-.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))) (*.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))))))
(/.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 2 (+.f64 beta alpha)) 2)
(pow.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))
(exp.f64 (*.f64 2 (log.f64 (+.f64 2 (+.f64 beta alpha)))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 (+.f64 beta alpha))) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 2 (+.f64 beta alpha)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))
(fma.f64 alpha (+.f64 2 (+.f64 beta alpha)) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))))
(fma.f64 (+.f64 2 (+.f64 beta alpha)) alpha (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 alpha (fma.f64 alpha beta 1)))) 1)
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha (fma.f64 alpha beta 1))) (/.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (-.f64 alpha (fma.f64 alpha beta 1))))
(*.f64 1 (+.f64 alpha (fma.f64 alpha beta 1)))
(*.f64 (+.f64 alpha (fma.f64 alpha beta 1)) 1)
(*.f64 (sqrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))) (sqrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))))
(*.f64 (cbrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))) (pow.f64 (cbrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))) 2) (cbrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))))
(*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (fma.f64 alpha beta 1) 2)) (/.f64 1 (-.f64 alpha (fma.f64 alpha beta 1))))
(*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (/.f64 1 (fma.f64 alpha alpha (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) alpha)))))
(/.f64 1 (/.f64 (-.f64 alpha (fma.f64 alpha beta 1)) (-.f64 (*.f64 alpha alpha) (pow.f64 (fma.f64 alpha beta 1) 2))))
(/.f64 1 (/.f64 (fma.f64 alpha alpha (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) alpha))) (+.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 alpha beta 1) 3))))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (fma.f64 alpha beta 1) 2)) (-.f64 alpha (fma.f64 alpha beta 1)))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (fma.f64 alpha alpha (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) alpha))))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (+.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (-.f64 (*.f64 alpha alpha) (*.f64 alpha (fma.f64 alpha beta 1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (*.f64 alpha alpha)) (-.f64 (fma.f64 alpha beta 1) alpha))
(/.f64 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (fma.f64 alpha beta 1) 2))) (neg.f64 (-.f64 alpha (fma.f64 alpha beta 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 alpha beta 1) 3))) (neg.f64 (fma.f64 alpha alpha (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) alpha)))))
(pow.f64 (+.f64 alpha (fma.f64 alpha beta 1)) 1)
(pow.f64 (sqrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))) 2)
(pow.f64 (cbrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))) 3)
(pow.f64 (pow.f64 (+.f64 alpha (fma.f64 alpha beta 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 alpha (fma.f64 alpha beta 1)) 2))
(log.f64 (exp.f64 (+.f64 alpha (fma.f64 alpha beta 1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (fma.f64 alpha beta 1)))))
(cbrt.f64 (pow.f64 (+.f64 alpha (fma.f64 alpha beta 1)) 3))
(expm1.f64 (log1p.f64 (+.f64 alpha (fma.f64 alpha beta 1))))
(exp.f64 (log.f64 (+.f64 alpha (fma.f64 alpha beta 1))))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (fma.f64 alpha beta 1))) 1))
(log1p.f64 (expm1.f64 (+.f64 alpha (fma.f64 alpha beta 1))))
(fma.f64 1 alpha (fma.f64 alpha beta 1))
(fma.f64 1 (fma.f64 alpha beta 1) alpha)
(fma.f64 (sqrt.f64 (fma.f64 alpha beta 1)) (sqrt.f64 (fma.f64 alpha beta 1)) alpha)
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (fma.f64 alpha beta 1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha beta 1)) 2) (cbrt.f64 (fma.f64 alpha beta 1)) alpha)
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (fma.f64 alpha beta 1))
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 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))) (*.f64 (/.f64 (+.f64 1 alpha) (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 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 2) (*.f64 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 (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))))))
(fma.f64 beta (-.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))) (*.f64 (/.f64 (+.f64 1 alpha) (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)))) (fma.f64 -1 (*.f64 (*.f64 beta beta) (+.f64 (*.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))) (*.f64 (/.f64 (+.f64 1 alpha) (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)))) (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) (+.f64 7 (*.f64 3 alpha))) (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 2) (*.f64 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 beta (*.f64 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 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 2) (*.f64 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 (+.f64 alpha 2) (*.f64 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 (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 (*.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) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 3 beta) (pow.f64 (+.f64 2 beta) 2)))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
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(neg.f64 (/.f64 (fma.f64 -1 beta -1) (*.f64 alpha alpha)))
(/.f64 (*.f64 1 (+.f64 1 beta)) (*.f64 alpha alpha))
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(pow.f64 alpha 3)
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(fma.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (*.f64 alpha alpha) (pow.f64 alpha 3))
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(pow.f64 alpha 3)
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(fma.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (*.f64 alpha alpha) (pow.f64 alpha 3))
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(*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))
(*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))
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(pow.f64 beta 3)
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(pow.f64 (+.f64 beta 2) 2)
(pow.f64 (+.f64 2 beta) 2)
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(fma.f64 (*.f64 2 (+.f64 2 beta)) alpha (pow.f64 (+.f64 2 beta) 2))
(fma.f64 (+.f64 4 (*.f64 2 beta)) alpha (pow.f64 (+.f64 2 beta) 2))
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(pow.f64 alpha 2)
(*.f64 alpha alpha)
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(fma.f64 2 (*.f64 alpha (+.f64 2 beta)) (*.f64 alpha alpha))
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(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(/.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 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (-.f64 alpha (+.f64 2 beta))) (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (-.f64 alpha (+.f64 2 beta))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 alpha))))) (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 alpha))))))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 2 (-.f64 beta alpha))))) (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 2 (-.f64 beta alpha))))))
(/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (-.f64 alpha beta) 2))
(/.f64 (+.f64 (+.f64 2 beta) alpha) (/.f64 (-.f64 alpha (+.f64 2 beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))))
(*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (-.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 (+.f64 2 beta) alpha) (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 alpha)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 2 (-.f64 beta alpha)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 2 (+.f64 beta alpha))) (-.f64 (-.f64 alpha beta) 2))
(/.f64 (+.f64 (+.f64 2 beta) alpha) (/.f64 (-.f64 alpha (+.f64 2 beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))))
(*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (-.f64 alpha (+.f64 2 beta))) (+.f64 alpha (+.f64 2 beta)))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 2 (+.f64 beta alpha))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (+.f64 (+.f64 2 beta) alpha) (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 alpha)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))))
(/.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 2 (-.f64 beta alpha)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3))))
(/.f64 (-.f64 (*.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))))) (-.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (*.f64 (pow.f64 (+.f64 (+.f64 2 beta) alpha) 2) (*.f64 (+.f64 (+.f64 2 beta) alpha) (-.f64 alpha (+.f64 2 beta)))) (*.f64 (+.f64 (+.f64 2 beta) alpha) (-.f64 alpha (+.f64 2 beta))))
(/.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (/.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 alpha (+.f64 2 beta))) (*.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 alpha (+.f64 2 beta)))))
(/.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))) 3)) (+.f64 (*.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))) (-.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))) (*.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 (+.f64 2 beta) alpha)) 3) (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha)) 3)) (+.f64 (*.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 (+.f64 2 beta) alpha) 2)) (*.f64 (*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha)) (-.f64 (*.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha)) (*.f64 alpha (+.f64 (+.f64 2 beta) alpha))))))
(/.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 alpha (+.f64 2 beta))) 3) (pow.f64 (*.f64 (+.f64 2 beta) (+.f64 alpha (+.f64 2 beta))) 3)) (+.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (*.f64 alpha alpha)) (-.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)) (*.f64 alpha (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 2) (+.f64 2 beta))))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (-.f64 (-.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 2 beta) 2)) (-.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 alpha))))))
(*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (-.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 2 (-.f64 beta alpha))))))
(/.f64 (*.f64 (+.f64 (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 2 beta) 2)) (-.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 alpha))))))
(*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2)) (-.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 2 (-.f64 beta alpha))))))
(pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)
(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha (+.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha))))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(pow.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) 1)
(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha (+.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha))))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2) 3)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 beta) alpha)) 2) 3)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) 3) 1/3)
(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha (+.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha))))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(sqrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 4))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 2 beta) alpha) 4))
(sqrt.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))
(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha (+.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha))))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))))
(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha (+.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha))))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) 3))
(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha (+.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha))))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))
(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha (+.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha))))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(exp.f64 (*.f64 2 (log.f64 (+.f64 2 (+.f64 beta alpha)))))
(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha (+.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha))))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(exp.f64 (*.f64 (log.f64 (+.f64 2 (+.f64 beta alpha))) 2))
(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha (+.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha))))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 2 (+.f64 beta alpha)))) 1))
(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha (+.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha))))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))
(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha (+.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha))))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(fma.f64 alpha (+.f64 2 (+.f64 beta alpha)) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))))
(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha (+.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha))))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(fma.f64 (+.f64 2 (+.f64 beta alpha)) alpha (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))))
(+.f64 (pow.f64 (+.f64 2 beta) 2) (*.f64 alpha (+.f64 (+.f64 2 beta) (+.f64 (+.f64 2 beta) alpha))))
(pow.f64 (+.f64 alpha (+.f64 2 beta)) 2)
(-.f64 (exp.f64 (log1p.f64 (+.f64 alpha (fma.f64 alpha beta 1)))) 1)
(+.f64 1 (fma.f64 beta alpha alpha))
(+.f64 alpha (fma.f64 alpha beta 1))
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha (fma.f64 alpha beta 1))) (/.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (-.f64 alpha (fma.f64 alpha beta 1))))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (fma.f64 alpha beta 1) 2)) (-.f64 alpha (fma.f64 alpha beta 1)))
(*.f64 1 (+.f64 alpha (fma.f64 alpha beta 1)))
(+.f64 1 (fma.f64 beta alpha alpha))
(+.f64 alpha (fma.f64 alpha beta 1))
(*.f64 (+.f64 alpha (fma.f64 alpha beta 1)) 1)
(+.f64 1 (fma.f64 beta alpha alpha))
(+.f64 alpha (fma.f64 alpha beta 1))
(*.f64 (sqrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))) (sqrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))))
(+.f64 1 (fma.f64 beta alpha alpha))
(+.f64 alpha (fma.f64 alpha beta 1))
(*.f64 (cbrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))) (pow.f64 (cbrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))) 2))
(+.f64 1 (fma.f64 beta alpha alpha))
(+.f64 alpha (fma.f64 alpha beta 1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))) 2) (cbrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))))
(+.f64 1 (fma.f64 beta alpha alpha))
(+.f64 alpha (fma.f64 alpha beta 1))
(*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (fma.f64 alpha beta 1) 2)) (/.f64 1 (-.f64 alpha (fma.f64 alpha beta 1))))
(*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (/.f64 1 (fma.f64 alpha alpha (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) alpha)))))
(/.f64 1 (/.f64 (-.f64 alpha (fma.f64 alpha beta 1)) (-.f64 (*.f64 alpha alpha) (pow.f64 (fma.f64 alpha beta 1) 2))))
(*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (fma.f64 alpha beta 1) 2)) (/.f64 1 (-.f64 alpha (fma.f64 alpha beta 1))))
(/.f64 1 (/.f64 (fma.f64 alpha alpha (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) alpha))) (+.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 alpha beta 1) 3))))
(*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (/.f64 1 (fma.f64 alpha alpha (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) alpha)))))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (fma.f64 alpha beta 1) 2)) (-.f64 alpha (fma.f64 alpha beta 1)))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (fma.f64 alpha alpha (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) alpha))))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (+.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (-.f64 (*.f64 alpha alpha) (*.f64 alpha (fma.f64 alpha beta 1)))))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (+.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (*.f64 alpha (-.f64 alpha (fma.f64 alpha beta 1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (*.f64 alpha alpha)) (-.f64 (fma.f64 alpha beta 1) alpha))
(/.f64 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (fma.f64 alpha beta 1) 2))) (neg.f64 (-.f64 alpha (fma.f64 alpha beta 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (fma.f64 alpha beta 1) 3))) (neg.f64 (fma.f64 alpha alpha (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) alpha)))))
(pow.f64 (+.f64 alpha (fma.f64 alpha beta 1)) 1)
(+.f64 1 (fma.f64 beta alpha alpha))
(+.f64 alpha (fma.f64 alpha beta 1))
(pow.f64 (sqrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))) 2)
(+.f64 1 (fma.f64 beta alpha alpha))
(+.f64 alpha (fma.f64 alpha beta 1))
(pow.f64 (cbrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))) 3)
(+.f64 1 (fma.f64 beta alpha alpha))
(+.f64 alpha (fma.f64 alpha beta 1))
(pow.f64 (pow.f64 (+.f64 alpha (fma.f64 alpha beta 1)) 3) 1/3)
(+.f64 1 (fma.f64 beta alpha alpha))
(+.f64 alpha (fma.f64 alpha beta 1))
(sqrt.f64 (pow.f64 (+.f64 alpha (fma.f64 alpha beta 1)) 2))
(log.f64 (exp.f64 (+.f64 alpha (fma.f64 alpha beta 1))))
(+.f64 1 (fma.f64 beta alpha alpha))
(+.f64 alpha (fma.f64 alpha beta 1))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (fma.f64 alpha beta 1)))))
(+.f64 1 (fma.f64 beta alpha alpha))
(+.f64 alpha (fma.f64 alpha beta 1))
(cbrt.f64 (pow.f64 (+.f64 alpha (fma.f64 alpha beta 1)) 3))
(+.f64 1 (fma.f64 beta alpha alpha))
(+.f64 alpha (fma.f64 alpha beta 1))
(expm1.f64 (log1p.f64 (+.f64 alpha (fma.f64 alpha beta 1))))
(+.f64 1 (fma.f64 beta alpha alpha))
(+.f64 alpha (fma.f64 alpha beta 1))
(exp.f64 (log.f64 (+.f64 alpha (fma.f64 alpha beta 1))))
(+.f64 1 (fma.f64 beta alpha alpha))
(+.f64 alpha (fma.f64 alpha beta 1))
(exp.f64 (*.f64 (log.f64 (+.f64 alpha (fma.f64 alpha beta 1))) 1))
(+.f64 1 (fma.f64 beta alpha alpha))
(+.f64 alpha (fma.f64 alpha beta 1))
(log1p.f64 (expm1.f64 (+.f64 alpha (fma.f64 alpha beta 1))))
(+.f64 1 (fma.f64 beta alpha alpha))
(+.f64 alpha (fma.f64 alpha beta 1))
(fma.f64 1 alpha (fma.f64 alpha beta 1))
(+.f64 1 (fma.f64 beta alpha alpha))
(+.f64 alpha (fma.f64 alpha beta 1))
(fma.f64 1 (fma.f64 alpha beta 1) alpha)
(fma.f64 (sqrt.f64 (fma.f64 alpha beta 1)) (sqrt.f64 (fma.f64 alpha beta 1)) alpha)
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (fma.f64 alpha beta 1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha beta 1)) 2) (cbrt.f64 (fma.f64 alpha beta 1)) alpha)
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (fma.f64 alpha beta 1))

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(*.f64 (+.f64 beta 1) (+.f64 alpha 1))
0.02%
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
1.84%
(/.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))))
4.12%
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))
Compiler

Compiled 85 to 53 computations (37.6% saved)

series14.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite112.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
017117
1419117
26742117
Stop Event
node limit
Counts
3 → 160
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 beta 1) (+.f64 alpha 1))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 beta (+.f64 1 (+.f64 alpha (*.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 beta (+.f64 alpha (*.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 alpha (*.f64 beta (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 beta 1) (+.f64 alpha (*.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (*.f64 beta alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 alpha (+.f64 1 (*.f64 (+.f64 1 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 alpha (+.f64 1 (*.f64 beta (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 alpha (+.f64 (*.f64 beta alpha) (+.f64 beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) beta))))) (#(struct:change #<rule 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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))))))

simplify149.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

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

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))
0.02%
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
0.03%
(*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))
0.1%
(/.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)))
Compiler

Compiled 97 to 65 computations (33% saved)

series16.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite121.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
017196
1414160
26531160
Stop Event
node limit
Counts
4 → 169
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
(/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))
Outputs
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(#(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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simplify194.0ms (1%)

Algorithm
egg-herbie
Rules
1524×associate-*r*
1424×associate-*l*
1400×+-commutative
1096×associate-+r+
778×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
096125429
1344125237
Stop Event
node limit
Counts
265 → 510
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))))))) (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4))))))
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(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))))))) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4))))))
(+.f64 (/.f64 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))) (pow.f64 beta 5)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)))))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4)))))))))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(/.f64 (pow.f64 alpha 2) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(/.f64 (pow.f64 alpha 2) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)))))
(pow.f64 (+.f64 2 alpha) 2)
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (-.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (*.f64 2 alpha)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (-.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 3 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (*.f64 2 alpha)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (-.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))))))
beta
(+.f64 beta (+.f64 3 (*.f64 2 alpha)))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 3 (/.f64 1 beta))))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 (/.f64 alpha (pow.f64 beta 2))) (+.f64 (*.f64 2 alpha) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 3 (/.f64 1 beta)))))
beta
(-.f64 (+.f64 beta (*.f64 2 (+.f64 2 alpha))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (-.f64 (*.f64 2 (+.f64 2 alpha)) 1))) beta)) (+.f64 beta (*.f64 2 (+.f64 2 alpha)))) 1)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (-.f64 (*.f64 2 (+.f64 2 alpha)) 1))) beta)) (+.f64 beta (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (*.f64 2 (+.f64 2 alpha))))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (+.f64 2 alpha)) 1) (pow.f64 beta 2)))))
(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 6)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 2)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 2)))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 2 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (+.f64 beta 2)) (pow.f64 alpha 3))) (/.f64 1 alpha)))))) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 2 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (pow.f64 (+.f64 beta 2) 2)) (*.f64 2 (*.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 2 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (+.f64 beta 2))) (*.f64 -1 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 2 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (+.f64 beta 2)) (pow.f64 alpha 3))) (/.f64 1 alpha))))))) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))
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(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))))))
(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 6)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))))))))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 4 (*.f64 2 alpha)) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 3)))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (*.f64 2 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)))))))) (*.f64 2 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 2 alpha) (+.f64 (*.f64 -2 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))))))))) (*.f64 2 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))
(/.f64 (+.f64 beta 2) (+.f64 beta 1))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 alpha (+.f64 beta 1)) (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(/.f64 alpha (+.f64 beta 1))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(/.f64 alpha (+.f64 beta 1))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 (/.f64 beta (+.f64 beta 1)) (+.f64 (/.f64 alpha (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))))
(+.f64 2 alpha)
(+.f64 2 (+.f64 alpha (*.f64 -1 (*.f64 beta (+.f64 1 alpha)))))
(+.f64 2 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta 2)) (+.f64 alpha (*.f64 -1 (*.f64 beta (+.f64 1 alpha))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 1 alpha))) (+.f64 2 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 beta 2)) (+.f64 alpha (*.f64 -1 (*.f64 beta (+.f64 1 alpha)))))))
1
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) 1))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) 1)))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 alpha (pow.f64 beta 3)))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (+.f64 2 alpha))) beta)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (+.f64 2 alpha))) beta)) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (+.f64 2 alpha))) beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 (+.f64 2 alpha))) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta))))) 1)
(*.f64 1 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta))))
(*.f64 (+.f64 alpha 1) (*.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (+.f64 alpha 1) (/.f64 1 (*.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)) (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (/.f64 1 (+.f64 3 (+.f64 alpha beta))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta))) 1)
(*.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))) (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) (*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))) 2) (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (+.f64 3 (+.f64 alpha beta))) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)))
(*.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (/.f64 1 (-.f64 -3 (+.f64 alpha beta))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))) (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2)) (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (cbrt.f64 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (/.f64 (+.f64 alpha 1) 1) (/.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (+.f64 3 (+.f64 alpha beta))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 3 (+.f64 alpha beta))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 3 (+.f64 alpha beta))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))))
(*.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))) (/.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2)) (/.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (cbrt.f64 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) 1) (/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) (+.f64 3 (+.f64 alpha beta))))
(*.f64 (/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2)) (/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) (cbrt.f64 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))) (+.f64 3 (+.f64 alpha beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))) 2) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))) (/.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))) 2) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2)) (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))))
(pow.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta))) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta))) 3) 1/3)
(pow.f64 (*.f64 (+.f64 3 (+.f64 alpha beta)) (/.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)) (+.f64 alpha 1))) -1)
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(pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))) -1)
(neg.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 -1 beta)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3) (pow.f64 (+.f64 1 beta) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(exp.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta)))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
Outputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 alpha (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))))))))
(+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 alpha (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) alpha (neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (+.f64 beta 7) (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 4))))))))
(+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) alpha (neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (*.f64 beta 2) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 4))))))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (fma.f64 -1 (*.f64 (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (+.f64 beta 7) (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 4)) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 beta 3)) (/.f64 (+.f64 (+.f64 beta 7) (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))))) (+.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) alpha (neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (+.f64 beta 7) (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 4)))))))))
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (fma.f64 -1 (*.f64 (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (*.f64 beta 2) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (pow.f64 (+.f64 beta 2) 4)) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 beta 3)) (/.f64 (+.f64 (*.f64 beta 2) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) alpha (neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (*.f64 beta 2) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 4))))))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta (*.f64 alpha alpha))) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3)))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 (+.f64 beta 7) (*.f64 beta 2)))))
(+.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta (*.f64 alpha alpha))) (-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 (*.f64 beta 2) (+.f64 beta 7))))))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta (*.f64 alpha alpha))) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 beta (-.f64 1 (*.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 7) (*.f64 beta 2))))) (+.f64 (+.f64 beta 7) (*.f64 beta 2)) (*.f64 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 (+.f64 beta 7) (*.f64 beta 2)))))
(+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (fma.f64 -1 (/.f64 (fma.f64 (+.f64 beta (-.f64 1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 beta 2) (+.f64 beta 7))))) (+.f64 (*.f64 beta 2) (+.f64 beta 7)) (*.f64 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3)))) (-.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 (*.f64 beta 2) (+.f64 beta 7)))))))
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(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha))))) (pow.f64 beta 3)) (/.f64 alpha (*.f64 beta beta))) (neg.f64 (/.f64 (fma.f64 -1 (*.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)))))) (*.f64 (neg.f64 (+.f64 1 alpha)) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 4)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 alpha (*.f64 beta beta)) (+.f64 (/.f64 (*.f64 1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (*.f64 3 alpha))))) (pow.f64 beta 3)) (/.f64 (*.f64 1 (+.f64 (*.f64 (*.f64 (+.f64 7 (*.f64 3 alpha)) -1) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (*.f64 3 alpha))))) (*.f64 (+.f64 1 alpha) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4)))))
(+.f64 (/.f64 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))) (pow.f64 beta 5)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)))))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4)))))))))
(+.f64 (/.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (/.f64 (pow.f64 beta 5) (fma.f64 -1 (*.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)))))) (*.f64 (neg.f64 (+.f64 1 alpha)) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))))))) (fma.f64 -1 (/.f64 (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (pow.f64 beta 5) (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha))))))) (+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha))))) (pow.f64 beta 3)) (fma.f64 -1 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 5) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (+.f64 (/.f64 alpha (*.f64 beta beta)) (neg.f64 (/.f64 (fma.f64 -1 (*.f64 (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)) (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (fma.f64 2 (+.f64 2 alpha) alpha)))))) (*.f64 (neg.f64 (+.f64 1 alpha)) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))))) (pow.f64 beta 4)))))))))
(+.f64 (+.f64 (/.f64 (*.f64 1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (*.f64 3 alpha))))) (pow.f64 beta 3)) (+.f64 (fma.f64 -1 (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 beta 5) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (*.f64 1 (+.f64 (*.f64 (*.f64 (+.f64 7 (*.f64 3 alpha)) -1) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (*.f64 3 alpha))))) (*.f64 (+.f64 1 alpha) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2)))))) (pow.f64 beta 4)))) (/.f64 1 (*.f64 beta beta)))) (+.f64 (/.f64 (+.f64 7 (*.f64 3 alpha)) (/.f64 (pow.f64 beta 5) (+.f64 (*.f64 (*.f64 1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (*.f64 3 alpha))))) (+.f64 7 (*.f64 3 alpha))) (*.f64 (neg.f64 (+.f64 1 alpha)) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))))))) (/.f64 (*.f64 (*.f64 1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (*.f64 3 alpha))))) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (neg.f64 (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 5))))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1))))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1))))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1))))
(/.f64 (pow.f64 alpha 2) (+.f64 beta 1))
(/.f64 (*.f64 alpha alpha) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1))))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1))))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1))))
(/.f64 (pow.f64 alpha 2) (+.f64 beta 1))
(/.f64 (*.f64 alpha alpha) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1))))
(+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)) (/.f64 (*.f64 2 (*.f64 (+.f64 beta 2) alpha)) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)))))
(+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (/.f64 (*.f64 2 (*.f64 (+.f64 beta 2) alpha)) (+.f64 beta 1))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)) (/.f64 (*.f64 2 (*.f64 (+.f64 beta 2) alpha)) (+.f64 beta 1))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)))))
(+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (/.f64 (*.f64 2 (*.f64 (+.f64 beta 2) alpha)) (+.f64 beta 1))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)) (/.f64 (*.f64 2 (*.f64 (+.f64 beta 2) alpha)) (+.f64 beta 1))))
(pow.f64 (+.f64 2 alpha) 2)
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (-.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 4 (-.f64 (*.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (*.f64 2 alpha)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (-.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)))))
(fma.f64 (*.f64 beta beta) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (*.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 4 (-.f64 (*.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2))))))
(+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 3 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (*.f64 2 alpha)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (-.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2))))))
(fma.f64 (pow.f64 beta 3) (-.f64 (+.f64 3 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 (*.f64 beta beta) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (*.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 4 (-.f64 (*.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))))))
(fma.f64 (pow.f64 beta 3) (+.f64 (*.f64 2 alpha) (-.f64 3 (pow.f64 (+.f64 2 alpha) 2))) (fma.f64 (*.f64 beta beta) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (*.f64 2 alpha))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 4 (-.f64 (*.f64 2 alpha) (pow.f64 (+.f64 2 alpha) 2)))))))
beta
(+.f64 beta (+.f64 3 (*.f64 2 alpha)))
(+.f64 (+.f64 beta 3) (*.f64 2 alpha))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (*.f64 3 (/.f64 1 beta))))
(+.f64 beta (-.f64 (+.f64 3 (fma.f64 2 alpha (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta))) (fma.f64 2 (/.f64 alpha beta) (/.f64 3 beta))))
(+.f64 beta (+.f64 (fma.f64 2 alpha (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)) (-.f64 3 (fma.f64 2 (/.f64 alpha beta) (/.f64 3 beta)))))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 (/.f64 alpha (pow.f64 beta 2))) (+.f64 (*.f64 2 alpha) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)))))) (+.f64 (*.f64 2 (/.f64 alpha beta)) (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2)) (*.f64 3 (/.f64 1 beta)))))
(-.f64 (+.f64 (+.f64 beta 3) (fma.f64 2 (/.f64 alpha (*.f64 beta beta)) (fma.f64 2 alpha (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta) (/.f64 3 (*.f64 beta beta)))))) (fma.f64 2 (/.f64 alpha beta) (+.f64 (/.f64 3 beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)))))
(+.f64 beta (+.f64 (fma.f64 2 (/.f64 alpha (*.f64 beta beta)) (+.f64 (fma.f64 2 alpha (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)) (/.f64 3 (*.f64 beta beta)))) (-.f64 3 (+.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 3 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta))))))
beta
(-.f64 (+.f64 beta (*.f64 2 (+.f64 2 alpha))) 1)
(+.f64 beta (+.f64 3 (*.f64 2 alpha)))
(+.f64 (+.f64 beta 3) (*.f64 2 alpha))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (-.f64 (*.f64 2 (+.f64 2 alpha)) 1))) beta)) (+.f64 beta (*.f64 2 (+.f64 2 alpha)))) 1)
(+.f64 (neg.f64 (/.f64 (*.f64 -1 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (fma.f64 2 (+.f64 2 alpha) -1))) beta)) (+.f64 beta (fma.f64 2 (+.f64 2 alpha) -1)))
(+.f64 (+.f64 (+.f64 beta 3) (*.f64 2 alpha)) (/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (*.f64 2 alpha)))) beta))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (-.f64 (*.f64 2 (+.f64 2 alpha)) 1))) beta)) (+.f64 beta (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 2))) (*.f64 2 (+.f64 2 alpha))))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (+.f64 2 alpha)) 1) (pow.f64 beta 2)))))
(-.f64 (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (fma.f64 2 (+.f64 2 alpha) -1))) beta) (+.f64 beta (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)) (+.f64 4 (*.f64 2 alpha))))) (+.f64 1 (/.f64 (neg.f64 (fma.f64 2 (+.f64 2 alpha) -1)) (*.f64 beta beta))))
(+.f64 (+.f64 beta (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)) (+.f64 4 (*.f64 2 alpha)))) (-.f64 (/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (*.f64 2 alpha)))) beta) (+.f64 1 (/.f64 (neg.f64 (+.f64 3 (*.f64 2 alpha))) (*.f64 beta beta)))))
(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 4 (*.f64 beta 2)))))) alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 4 (*.f64 beta 2)))))) alpha (fma.f64 -1 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 4 (*.f64 beta 2)))))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 4 (*.f64 beta 2)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
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(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta 1))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta 1)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 2 (+.f64 alpha beta))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 (+.f64 2 alpha) beta)) (*.f64 (/.f64 (cbrt.f64 (+.f64 1 alpha)) (-.f64 -2 (+.f64 beta alpha))) (-.f64 -1 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 beta (+.f64 2 alpha))) (*.f64 (/.f64 (cbrt.f64 (+.f64 1 alpha)) (-.f64 -2 (+.f64 beta alpha))) (-.f64 -1 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (+.f64 2 (+.f64 alpha beta))))
(*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (-.f64 -2 (+.f64 beta alpha))) (-.f64 -1 beta)) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 (+.f64 2 alpha) beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (-.f64 -2 (+.f64 beta alpha))) (*.f64 (-.f64 -1 beta) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (/.f64 (+.f64 (+.f64 2 alpha) beta) (hypot.f64 1 (sqrt.f64 beta)))) (*.f64 (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 (+.f64 2 alpha) beta)) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (hypot.f64 1 (sqrt.f64 beta)))) (*.f64 (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 beta (+.f64 2 alpha))) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) 2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (cbrt.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta 1))) 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (cbrt.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1))) 2))
(pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) 1)
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(pow.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) 2)
(pow.f64 (*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 (+.f64 2 alpha) beta)) (hypot.f64 1 (sqrt.f64 beta))) 2)
(pow.f64 (*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 beta (+.f64 2 alpha))) (hypot.f64 1 (sqrt.f64 beta))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))) 3)
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) 3) 1/3)
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(pow.f64 (/.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)) (+.f64 alpha 1)) -1)
(/.f64 1 (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (*.f64 (+.f64 1 alpha) (+.f64 beta 1))))
(/.f64 1 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (*.f64 (+.f64 1 alpha) (+.f64 beta 1))))
(neg.f64 (/.f64 (+.f64 alpha 1) (/.f64 (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))))
(/.f64 (neg.f64 (+.f64 1 alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta 1))))
(/.f64 (neg.f64 (+.f64 1 alpha)) (neg.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)))))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) 3))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta 1)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(exp.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (log1p.f64 beta))))
(exp.f64 (+.f64 (-.f64 (log1p.f64 alpha) (*.f64 2 (log.f64 (+.f64 (+.f64 2 alpha) beta)))) (log1p.f64 beta)))
(exp.f64 (+.f64 (log1p.f64 beta) (-.f64 (log1p.f64 alpha) (*.f64 2 (log.f64 (+.f64 beta (+.f64 2 alpha)))))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (log1p.f64 beta))) 1))
(exp.f64 (+.f64 (-.f64 (log1p.f64 alpha) (*.f64 2 (log.f64 (+.f64 (+.f64 2 alpha) beta)))) (log1p.f64 beta)))
(exp.f64 (+.f64 (log1p.f64 beta) (-.f64 (log1p.f64 alpha) (*.f64 2 (log.f64 (+.f64 beta (+.f64 2 alpha)))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta 1)) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)))) 1)
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(*.f64 1 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)))
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 -1 (-.f64 -1 beta)))
(/.f64 (*.f64 (+.f64 (+.f64 2 alpha) beta) -1) (-.f64 -1 beta))
(/.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) -1) (-.f64 -1 beta))
(*.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 1)
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(*.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (*.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (/.f64 -1 (-.f64 -1 beta))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 2 alpha) beta)) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (sqrt.f64 (+.f64 (+.f64 2 alpha) beta))))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) (*.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) (/.f64 -1 (-.f64 -1 beta))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) 2) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (cbrt.f64 (+.f64 (+.f64 2 alpha) beta))))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (*.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 2))
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 2) (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (*.f64 (+.f64 (+.f64 2 alpha) beta) -1) (-.f64 -1 beta))
(/.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) -1) (-.f64 -1 beta))
(*.f64 (-.f64 -2 (+.f64 alpha beta)) (/.f64 1 (-.f64 -1 beta)))
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 beta))) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (hypot.f64 1 (sqrt.f64 beta))) (/.f64 1 (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (hypot.f64 1 (sqrt.f64 beta))) (/.f64 1 (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (cbrt.f64 (+.f64 1 beta))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (/.f64 (+.f64 (+.f64 2 alpha) beta) (cbrt.f64 (+.f64 beta 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (/.f64 (+.f64 beta (+.f64 2 alpha)) (cbrt.f64 (+.f64 beta 1))))
(*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (fma.f64 beta beta -1)) (+.f64 beta -1))
(*.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (fma.f64 beta beta -1)) (+.f64 beta -1))
(*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (fma.f64 beta beta -1)) (+.f64 beta -1))
(*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 1 beta)))
(*.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 1 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 1 beta)))
(*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 1 beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) 1) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (+.f64 1 beta)))
(*.f64 (sqrt.f64 (+.f64 (+.f64 2 alpha) beta)) (/.f64 (sqrt.f64 (+.f64 (+.f64 2 alpha) beta)) (+.f64 beta 1)))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 1)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (cbrt.f64 (+.f64 1 beta))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 2 alpha) beta)) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (/.f64 (sqrt.f64 (+.f64 (+.f64 2 alpha) beta)) (cbrt.f64 (+.f64 beta 1))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (cbrt.f64 (+.f64 beta 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) (+.f64 1 beta)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) 2) (/.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) (+.f64 beta 1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) (hypot.f64 1 (sqrt.f64 beta))) (/.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) 2) (hypot.f64 1 (sqrt.f64 beta))) (/.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) (hypot.f64 1 (sqrt.f64 beta))) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) 2) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)))
(pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 1)
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 2)
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 3)
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(pow.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 3) 1/3)
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))) -1)
(/.f64 1 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 beta alpha))))
(neg.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 -1 beta)))
(/.f64 (neg.f64 (+.f64 (+.f64 2 alpha) beta)) (-.f64 -1 beta))
(/.f64 (neg.f64 (+.f64 beta (+.f64 2 alpha))) (-.f64 -1 beta))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)))))
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 3))
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3) (pow.f64 (+.f64 1 beta) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 3) (pow.f64 (+.f64 beta 1) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3) (pow.f64 (+.f64 beta 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))
(exp.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta)))
(exp.f64 (-.f64 (log.f64 (+.f64 (+.f64 2 alpha) beta)) (log1p.f64 beta)))
(exp.f64 (-.f64 (log.f64 (+.f64 beta (+.f64 2 alpha))) (log1p.f64 beta)))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta)) 1))
(exp.f64 (-.f64 (log.f64 (+.f64 (+.f64 2 alpha) beta)) (log1p.f64 beta)))
(exp.f64 (-.f64 (log.f64 (+.f64 beta (+.f64 2 alpha))) (log1p.f64 beta)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 beta))

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1))
0.01%
(*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))
1.83%
(/.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))))
4.12%
(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))
Compiler

Compiled 93 to 46 computations (50.5% saved)

series11.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite131.0ms (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
017166
1420154
26857154
Stop Event
node limit
Counts
4 → 218
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)))
(+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.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))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 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alpha beta)) (sqrt.f64 (+.f64 alpha beta)) (fma.f64 alpha beta 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 beta (fma.f64 alpha beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha beta 1)) 2) (cbrt.f64 (fma.f64 alpha beta 1)) (+.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (+.f64 alpha beta)) (fma.f64 alpha beta 1))))))

simplify182.0ms (1%)

Algorithm
egg-herbie
Rules
1430×associate-*r*
1414×+-commutative
1368×associate-*l*
1104×associate-+r+
856×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0100124968
1339324786
Stop Event
node limit
Counts
314 → 517
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))))
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(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))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 alpha beta) 2) (-.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (/.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (-.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(*.f64 1 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)))
(*.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) 1)
(*.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (sqrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(*.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 2) (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(*.f64 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (pow.f64 (fma.f64 alpha beta 1) 2)) (/.f64 1 (-.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta))))))
(/.f64 1 (/.f64 (-.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (-.f64 (pow.f64 (+.f64 alpha beta) 2) (pow.f64 (fma.f64 alpha beta 1) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)))) (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 alpha beta 1) 3))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (pow.f64 (fma.f64 alpha beta 1) 2)) (-.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (+.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (-.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (pow.f64 (fma.f64 alpha beta 1) 2))) (neg.f64 (-.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 alpha beta 1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta))))))
(/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (fma.f64 alpha beta 1)) (+.f64 beta (fma.f64 alpha beta 1)))) (-.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (pow.f64 (+.f64 alpha beta) 2)) (-.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)))
(/.f64 (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 alpha beta))) 1) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 alpha beta)) 1))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 3)) (+.f64 (*.f64 alpha alpha) (-.f64 (*.f64 (+.f64 beta (fma.f64 alpha beta 1)) (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (+.f64 alpha beta) (*.f64 alpha beta)) 3)) (+.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 alpha beta))) (-.f64 1 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 alpha beta)) 1))))
(/.f64 (+.f64 (*.f64 (fma.f64 alpha alpha (neg.f64 (*.f64 beta beta))) (fma.f64 alpha beta -1)) (*.f64 (-.f64 alpha beta) (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1))) (*.f64 (-.f64 alpha beta) (fma.f64 alpha beta -1)))
(/.f64 (+.f64 (*.f64 (fma.f64 alpha alpha (neg.f64 (*.f64 beta beta))) (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta)))) (*.f64 (-.f64 alpha beta) (+.f64 1 (pow.f64 (*.f64 alpha beta) 3)))) (*.f64 (-.f64 alpha beta) (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta)))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 alpha beta -1)) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1))) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (fma.f64 alpha beta -1)))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta)))) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (+.f64 1 (pow.f64 (*.f64 alpha beta) 3)))) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta)))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1) (-.f64 alpha beta)) (*.f64 (fma.f64 alpha beta -1) (fma.f64 alpha alpha (neg.f64 (*.f64 beta beta))))) (*.f64 (fma.f64 alpha beta -1) (-.f64 alpha beta)))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) (*.f64 (fma.f64 alpha beta -1) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (*.f64 (fma.f64 alpha beta -1) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (+.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 alpha beta) 3)) (-.f64 alpha beta)) (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta))) (fma.f64 alpha alpha (neg.f64 (*.f64 beta beta))))) (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta))) (-.f64 alpha beta)))
(/.f64 (+.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 alpha beta) 3)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(pow.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) 1)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 2)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(exp.f64 (log.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(fma.f64 1 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(fma.f64 1 (+.f64 alpha beta) (fma.f64 alpha beta 1))
(fma.f64 1 (fma.f64 alpha beta 1) (+.f64 alpha beta))
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 beta (fma.f64 alpha beta 1)))
(fma.f64 (sqrt.f64 (fma.f64 alpha beta 1)) (sqrt.f64 (fma.f64 alpha beta 1)) (+.f64 alpha beta))
(fma.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha beta)) (fma.f64 alpha beta 1))
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 beta (fma.f64 alpha beta 1)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha beta 1)) 2) (cbrt.f64 (fma.f64 alpha beta 1)) (+.f64 alpha beta))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (+.f64 alpha beta)) (fma.f64 alpha beta 1))
Outputs
(/.f64 (+.f64 beta 1) (+.f64 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 1 (pow.f64 (+.f64 beta 2) 3)) (-.f64 (/.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 1 (pow.f64 (+.f64 beta 2) 3)) (-.f64 (/.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 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 beta alpha) (+.f64 (/.f64 1 alpha) 1)) (/.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 beta (-.f64 (+.f64 1 (+.f64 (/.f64 beta alpha) (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 (+.f64 beta 1) (/.f64 alpha (+.f64 beta 2)))))
(+.f64 beta (-.f64 (+.f64 (/.f64 beta alpha) (+.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)) 1)) (/.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 beta (-.f64 1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 1 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 (+.f64 beta 1) (/.f64 alpha (+.f64 beta 2))))
(+.f64 (+.f64 (+.f64 (/.f64 beta alpha) (+.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)) 1)) (/.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 alpha (+.f64 2 alpha)) (-.f64 (/.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))))
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(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (+.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (-.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (+.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (pow.f64 (fma.f64 alpha beta 1) 2))) (neg.f64 (-.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 alpha beta 1) 2))) (neg.f64 (-.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 alpha beta 1) 2))) (-.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 alpha beta 1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) (pow.f64 (fma.f64 alpha beta 1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))))))
(/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (fma.f64 alpha beta 1)) (+.f64 beta (fma.f64 alpha beta 1)))) (-.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))
(/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (fma.f64 alpha beta 1)) (+.f64 beta (fma.f64 alpha beta 1)))) (-.f64 (-.f64 alpha beta) (fma.f64 alpha beta 1)))
(/.f64 (*.f64 (+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1)) (-.f64 (-.f64 alpha beta) (fma.f64 alpha beta 1))) (-.f64 (-.f64 alpha beta) (fma.f64 alpha beta 1)))
(/.f64 (-.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (pow.f64 (+.f64 alpha beta) 2)) (-.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)))
(/.f64 (-.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (pow.f64 (+.f64 beta alpha) 2)) (-.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)))
(/.f64 (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 alpha beta))) 1) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 alpha beta)) 1))
(/.f64 (fma.f64 (+.f64 alpha (+.f64 beta (*.f64 beta alpha))) (+.f64 alpha (+.f64 beta (*.f64 beta alpha))) -1) (+.f64 (+.f64 beta alpha) (-.f64 (*.f64 beta alpha) 1)))
(/.f64 (fma.f64 (+.f64 alpha (+.f64 beta (*.f64 beta alpha))) (+.f64 alpha (+.f64 beta (*.f64 beta alpha))) -1) (+.f64 (+.f64 beta alpha) (fma.f64 alpha beta -1)))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 3)) (+.f64 (*.f64 alpha alpha) (-.f64 (*.f64 (+.f64 beta (fma.f64 alpha beta 1)) (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta (fma.f64 alpha beta 1)) (-.f64 (+.f64 beta (fma.f64 alpha beta 1)) alpha))))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta (fma.f64 alpha beta 1)) (+.f64 (fma.f64 alpha beta 1) (-.f64 beta alpha)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (+.f64 alpha beta) (*.f64 alpha beta)) 3)) (+.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 alpha beta))) (-.f64 1 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 alpha beta)) 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta (*.f64 beta alpha))) 3)) (fma.f64 (+.f64 alpha (+.f64 beta (*.f64 beta alpha))) (+.f64 alpha (+.f64 beta (*.f64 beta alpha))) (-.f64 1 (+.f64 alpha (+.f64 beta (*.f64 beta alpha))))))
(/.f64 (+.f64 (*.f64 (fma.f64 alpha alpha (neg.f64 (*.f64 beta beta))) (fma.f64 alpha beta -1)) (*.f64 (-.f64 alpha beta) (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1))) (*.f64 (-.f64 alpha beta) (fma.f64 alpha beta -1)))
(/.f64 (fma.f64 (fma.f64 alpha alpha (*.f64 beta (neg.f64 beta))) (fma.f64 alpha beta -1) (*.f64 (-.f64 alpha beta) (+.f64 -1 (pow.f64 (*.f64 beta alpha) 2)))) (*.f64 (fma.f64 alpha beta -1) (-.f64 alpha beta)))
(/.f64 (+.f64 (*.f64 (fma.f64 alpha alpha (neg.f64 (*.f64 beta beta))) (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta)))) (*.f64 (-.f64 alpha beta) (+.f64 1 (pow.f64 (*.f64 alpha beta) 3)))) (*.f64 (-.f64 alpha beta) (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta)))))
(/.f64 (fma.f64 (fma.f64 alpha alpha (*.f64 beta (neg.f64 beta))) (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha))) (*.f64 (-.f64 alpha beta) (+.f64 1 (pow.f64 (*.f64 beta alpha) 3)))) (*.f64 (-.f64 alpha beta) (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha)))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 alpha beta -1)) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1))) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (fma.f64 alpha beta -1)))
(/.f64 (fma.f64 (+.f64 -1 (pow.f64 (*.f64 beta alpha) 2)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (*.f64 (fma.f64 alpha beta -1) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))) (*.f64 (fma.f64 alpha beta -1) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (/.f64 (fma.f64 (+.f64 -1 (pow.f64 (*.f64 beta alpha) 2)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (*.f64 (fma.f64 alpha beta -1) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))) (fma.f64 alpha beta -1)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta)))) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (+.f64 1 (pow.f64 (*.f64 alpha beta) 3)))) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta)))))
(/.f64 (fma.f64 (+.f64 1 (pow.f64 (*.f64 beta alpha) 3)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (*.f64 (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha))) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))) (*.f64 (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1) (-.f64 alpha beta)) (*.f64 (fma.f64 alpha beta -1) (fma.f64 alpha alpha (neg.f64 (*.f64 beta beta))))) (*.f64 (fma.f64 alpha beta -1) (-.f64 alpha beta)))
(/.f64 (fma.f64 (fma.f64 alpha alpha (*.f64 beta (neg.f64 beta))) (fma.f64 alpha beta -1) (*.f64 (-.f64 alpha beta) (+.f64 -1 (pow.f64 (*.f64 beta alpha) 2)))) (*.f64 (fma.f64 alpha beta -1) (-.f64 alpha beta)))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) (*.f64 (fma.f64 alpha beta -1) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (*.f64 (fma.f64 alpha beta -1) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (fma.f64 (+.f64 -1 (pow.f64 (*.f64 beta alpha) 2)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (*.f64 (fma.f64 alpha beta -1) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))) (*.f64 (fma.f64 alpha beta -1) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (/.f64 (fma.f64 (+.f64 -1 (pow.f64 (*.f64 beta alpha) 2)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (*.f64 (fma.f64 alpha beta -1) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))) (fma.f64 alpha beta -1)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))
(/.f64 (+.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 alpha beta) 3)) (-.f64 alpha beta)) (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta))) (fma.f64 alpha alpha (neg.f64 (*.f64 beta beta))))) (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta))) (-.f64 alpha beta)))
(/.f64 (fma.f64 (fma.f64 alpha alpha (*.f64 beta (neg.f64 beta))) (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha))) (*.f64 (-.f64 alpha beta) (+.f64 1 (pow.f64 (*.f64 beta alpha) 3)))) (*.f64 (-.f64 alpha beta) (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha)))))
(/.f64 (+.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 alpha beta) 3)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (fma.f64 (+.f64 1 (pow.f64 (*.f64 beta alpha) 3)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (*.f64 (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha))) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))) (*.f64 (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(pow.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) 1)
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(pow.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 2)
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 3)
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(pow.f64 (pow.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) 3) 1/3)
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) 2))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1)) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)))))
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) 3))
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(exp.f64 (log.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 1))
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(fma.f64 1 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(fma.f64 1 (+.f64 alpha beta) (fma.f64 alpha beta 1))
(fma.f64 1 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(fma.f64 1 (fma.f64 alpha beta 1) (+.f64 alpha beta))
(fma.f64 1 (fma.f64 alpha beta 1) (+.f64 beta alpha))
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 beta (fma.f64 alpha beta 1)))
(fma.f64 (sqrt.f64 (fma.f64 alpha beta 1)) (sqrt.f64 (fma.f64 alpha beta 1)) (+.f64 alpha beta))
(fma.f64 (sqrt.f64 (fma.f64 alpha beta 1)) (sqrt.f64 (fma.f64 alpha beta 1)) (+.f64 beta alpha))
(fma.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha beta)) (fma.f64 alpha beta 1))
(fma.f64 (sqrt.f64 (+.f64 beta alpha)) (sqrt.f64 (+.f64 beta alpha)) (fma.f64 alpha beta 1))
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 beta (fma.f64 alpha beta 1)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha beta 1)) 2) (cbrt.f64 (fma.f64 alpha beta 1)) (+.f64 alpha beta))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha beta 1)) 2) (cbrt.f64 (fma.f64 alpha beta 1)) (+.f64 beta alpha))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (+.f64 alpha beta)) (fma.f64 alpha beta 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (cbrt.f64 (+.f64 beta alpha)) (fma.f64 alpha beta 1))

eval2.0s (10.5%)

Compiler

Compiled 94674 to 65842 computations (30.5% saved)

prune751.0ms (4%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1893151908
Fresh000
Picked101
Done213
Total1896161912
Error
0%
Counts
1912 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
25.53%
(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 alpha (*.f64 beta alpha)) (/.f64 (*.f64 beta beta) (+.f64 beta -1))) (/.f64 1 (+.f64 beta -1))) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
6.94%
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
6.92%
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
97.86%
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
39.63%
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
48.07%
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
23.25%
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
49.02%
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
5.43%
(/.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))))
52.84%
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
13.07%
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
96.07%
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
42.67%
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
50.78%
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
1.5%
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))
0.84%
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
Compiler

Compiled 609 to 427 computations (29.9% saved)

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.04%
(/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))
0.05%
(*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)))
0.2%
(*.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))))
22.82%
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))
Compiler

Compiled 106 to 72 computations (32.1% saved)

series19.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite165.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
018196
1440184
26934184
Stop Event
node limit
Counts
4 → 187
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))
(*.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 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)))
(/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 2 (+.f64 beta alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 1 (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))) 2) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -3) (/.f64 1 (+.f64 -1 (neg.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 alpha))) (/.f64 (+.f64 alpha (+.f64 beta 3)) (sqrt.f64 (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2)) (/.f64 (+.f64 alpha (+.f64 beta 3)) (cbrt.f64 (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 1 (*.f64 alpha alpha))) (-.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 (pow.f64 alpha 3))) (+.f64 (*.f64 alpha alpha) (-.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) 1) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2)) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (cbrt.f64 (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2) (sqrt.f64 (+.f64 1 alpha))) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) (sqrt.f64 (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 -1 (neg.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3) (pow.f64 (+.f64 1 alpha) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (+.f64 alpha (+.f64 beta 3))) (log1p.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 alpha (+.f64 beta 3))) (log1p.f64 alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))))))))

simplify242.0ms (1.3%)

Algorithm
egg-herbie
Rules
1752×associate-*r*
1464×+-commutative
1178×associate-+r+
856×associate-+l+
796×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0101728801
1371528285
Stop Event
node limit
Counts
283 → 514
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (/.f64 1 (*.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 (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 5 (*.f64 2 alpha))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (/.f64 1 (*.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 (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 5 (*.f64 2 alpha))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.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 (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 5 (*.f64 2 alpha))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))) (+.f64 5 (*.f64 2 alpha))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (pow.f64 beta 3)) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha)))) (+.f64 5 (*.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha)))) (+.f64 5 (*.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 (+.f64 5 (*.f64 2 alpha)) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha)))))) (+.f64 5 (*.f64 2 alpha)))) (*.f64 (+.f64 2 alpha) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha)))) (+.f64 3 alpha)))) (pow.f64 beta 4))) (/.f64 alpha (pow.f64 beta 2))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (-.f64 (+.f64 1 alpha) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (+.f64 1 alpha))))) (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (pow.f64 beta 3)))))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (-.f64 (+.f64 1 alpha) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (+.f64 1 alpha))))) (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (-.f64 (+.f64 1 alpha) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (+.f64 1 alpha))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha))) (+.f64 1 alpha)))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (pow.f64 beta 4))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (pow.f64 beta 3))))))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (+.f64 3 alpha)) (*.f64 -1 (+.f64 2 alpha)))) (pow.f64 beta 2))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) alpha) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))) (*.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 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))) alpha) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))) (*.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 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 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 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))) (*.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 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.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 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 3))))))
(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))) (pow.f64 alpha 2)))
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(/.f64 (+.f64 beta 1) alpha)
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(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
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(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))))))) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(/.f64 (+.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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alpha
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alpha
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(+.f64 beta 3)
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1
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1
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(pow.f64 (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 alpha)) 1)
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(pow.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 alpha)) 3) 1/3)
(pow.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)) (+.f64 beta 1))) -1)
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(pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))) (pow.f64 (+.f64 2 (+.f64 beta alpha)) -2)) 1)
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(sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))) (pow.f64 (+.f64 2 (+.f64 beta alpha)) -2)) 2))
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(pow.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 alpha)) 1)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 alpha))) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 alpha))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 alpha)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 alpha)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 alpha)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 alpha)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3) (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)) 3) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 alpha))))
(exp.f64 (-.f64 (log.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 3)))) (log1p.f64 alpha)))
(exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 3)))) (log1p.f64 alpha)) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 alpha))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)))) 1)
(*.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)))
(*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 1 (+.f64 1 alpha)))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)) 1)
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (+.f64 1 alpha))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (+.f64 1 alpha))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))) 2) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))))
(*.f64 (/.f64 1 (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -3) (/.f64 1 (+.f64 -1 (neg.f64 alpha))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 alpha))) (/.f64 (+.f64 alpha (+.f64 beta 3)) (sqrt.f64 (+.f64 1 alpha))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2)) (/.f64 (+.f64 alpha (+.f64 beta 3)) (cbrt.f64 (+.f64 1 alpha))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 1 (*.f64 alpha alpha))) (-.f64 1 alpha))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 (pow.f64 alpha 3))) (+.f64 (*.f64 alpha alpha) (-.f64 1 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) 1) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (+.f64 1 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2)) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (cbrt.f64 (+.f64 1 alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) (+.f64 1 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2) (sqrt.f64 (+.f64 1 alpha))) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) (sqrt.f64 (+.f64 1 alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) -1)
(neg.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 -1 (neg.f64 alpha))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3) (pow.f64 (+.f64 1 alpha) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))))
(exp.f64 (-.f64 (log.f64 (+.f64 alpha (+.f64 beta 3))) (log1p.f64 alpha)))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 alpha (+.f64 beta 3))) (log1p.f64 alpha)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))))
Outputs
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))
(+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(+.f64 (/.f64 alpha (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (fma.f64 beta (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 5 (*.f64 alpha 2)) (pow.f64 (+.f64 alpha 3) 2))))) (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))))
(+.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 (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 5 (*.f64 2 alpha))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(fma.f64 -1 (*.f64 (*.f64 beta beta) (+.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 3) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 3) 2)))) (*.f64 (/.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 5 (*.f64 alpha 2)) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 alpha 2)) (/.f64 (+.f64 5 (*.f64 alpha 2)) (+.f64 alpha 3))))) (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (fma.f64 beta (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 5 (*.f64 alpha 2)) (pow.f64 (+.f64 alpha 3) 2))))) (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))))
(fma.f64 -1 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 3) 2))) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 5 (*.f64 alpha 2)) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 alpha 2)) (/.f64 (+.f64 5 (*.f64 alpha 2)) (+.f64 alpha 3))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 3) 2)))))) (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (fma.f64 beta (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 5 (*.f64 alpha 2)) (pow.f64 (+.f64 alpha 3) 2))))) (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))))
(+.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 (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 5 (*.f64 2 alpha))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 (+.f64 3 alpha) 3))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.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 (*.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 5 (*.f64 2 alpha))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))) (+.f64 5 (*.f64 2 alpha))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))) (pow.f64 beta 3)) (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))
(fma.f64 -1 (*.f64 (*.f64 beta beta) (+.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 3) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 3) 2)))) (*.f64 (/.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 5 (*.f64 alpha 2)) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 alpha 2)) (/.f64 (+.f64 5 (*.f64 alpha 2)) (+.f64 alpha 3))))) (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (fma.f64 beta (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 5 (*.f64 alpha 2)) (pow.f64 (+.f64 alpha 3) 2))))) (fma.f64 (-.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (+.f64 5 (*.f64 alpha 2)) (pow.f64 (+.f64 alpha 3) 3))) (+.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 3) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 3) 2)))) (neg.f64 (*.f64 (/.f64 (+.f64 (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 3) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 3) 2)))) (*.f64 (/.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 5 (*.f64 alpha 2)) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 alpha 2)) (/.f64 (+.f64 5 (*.f64 alpha 2)) (+.f64 alpha 3)))) (+.f64 alpha 2)) (/.f64 (+.f64 5 (*.f64 alpha 2)) (+.f64 alpha 3)))))) (pow.f64 beta 3) (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))))))
(fma.f64 -1 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 3) 2))) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 5 (*.f64 alpha 2)) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 alpha 2)) (/.f64 (+.f64 5 (*.f64 alpha 2)) (+.f64 alpha 3))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 3) 2)))))) (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (fma.f64 beta (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 5 (*.f64 alpha 2)) (pow.f64 (+.f64 alpha 3) 2))))) (fma.f64 (-.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 3)) (/.f64 (+.f64 5 (*.f64 alpha 2)) (pow.f64 (+.f64 alpha 3) 3))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 3) 2))) (+.f64 (neg.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 3) 2))) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (-.f64 (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 5 (*.f64 alpha 2)) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 alpha 2)) (/.f64 (+.f64 5 (*.f64 alpha 2)) (+.f64 alpha 3))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 alpha 2)) (/.f64 (+.f64 5 (*.f64 alpha 2)) (+.f64 alpha 3)))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (pow.f64 (+.f64 alpha 3) 2)))))) (pow.f64 beta 3) (/.f64 1 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))))))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (*.f64 beta beta))) (+.f64 (/.f64 alpha beta) (/.f64 alpha (*.f64 beta beta)))) (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 beta beta) (+.f64 5 (*.f64 alpha 2)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (+.f64 (/.f64 alpha beta) (/.f64 alpha (*.f64 beta beta))) (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 beta beta) (+.f64 5 (*.f64 alpha 2)))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha)))) (+.f64 5 (*.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) (*.f64 (+.f64 5 (*.f64 alpha 2)) (+.f64 (+.f64 1 alpha) (*.f64 (-.f64 -1 alpha) (+.f64 5 (*.f64 alpha 2)))))) (pow.f64 beta 3)) (+.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (*.f64 beta beta))) (+.f64 (/.f64 alpha beta) (/.f64 alpha (*.f64 beta beta))))) (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 beta beta) (+.f64 5 (*.f64 alpha 2)))))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)) (*.f64 (+.f64 5 (*.f64 alpha 2)) (+.f64 1 (+.f64 alpha (*.f64 (-.f64 -1 alpha) (+.f64 5 (*.f64 alpha 2))))))) (pow.f64 beta 3)) (+.f64 (+.f64 (/.f64 alpha beta) (/.f64 alpha (*.f64 beta beta))) (+.f64 (/.f64 1 beta) (/.f64 1 (*.f64 beta beta))))) (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 beta beta) (+.f64 5 (*.f64 alpha 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha)))) (+.f64 5 (*.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 (+.f64 5 (*.f64 2 alpha)) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha)))))) (+.f64 5 (*.f64 2 alpha)))) (*.f64 (+.f64 2 alpha) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha)))) (+.f64 3 alpha)))) (pow.f64 beta 4))) (/.f64 alpha (pow.f64 beta 2))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 1 beta) (*.f64 alpha alpha))
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(/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 1 alpha))
(/.f64 (+.f64 alpha 2) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))
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(/.f64 (pow.f64 beta 2) (+.f64 1 alpha))
(/.f64 (*.f64 beta beta) (+.f64 1 alpha))
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(fma.f64 (fma.f64 2 (/.f64 alpha (+.f64 1 alpha)) (/.f64 5 (+.f64 1 alpha))) beta (/.f64 (*.f64 beta beta) (+.f64 1 alpha)))
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(/.f64 (pow.f64 beta 2) (+.f64 1 alpha))
(/.f64 (*.f64 beta beta) (+.f64 1 alpha))
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(*.f64 (+.f64 beta 3) (+.f64 beta 2))
(*.f64 (+.f64 3 beta) (+.f64 2 beta))
(+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (*.f64 (-.f64 (+.f64 5 (*.f64 2 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) alpha))
(fma.f64 (+.f64 3 beta) (+.f64 2 beta) (*.f64 alpha (-.f64 (+.f64 5 (*.f64 2 beta)) (*.f64 (+.f64 3 beta) (+.f64 2 beta)))))
(fma.f64 (+.f64 3 beta) (+.f64 2 beta) (*.f64 alpha (+.f64 (*.f64 2 beta) (-.f64 5 (*.f64 (+.f64 3 beta) (+.f64 2 beta))))))
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alpha
(+.f64 4 (+.f64 alpha (*.f64 2 beta)))
(+.f64 alpha (+.f64 4 (*.f64 2 beta)))
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(-.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)))))
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alpha
(-.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))) alpha) 1)
(+.f64 (fma.f64 -1 (fma.f64 -1 (+.f64 2 beta) (neg.f64 (+.f64 3 beta))) alpha) -1)
(+.f64 (*.f64 1 (+.f64 beta (+.f64 2 (+.f64 3 beta)))) (-.f64 alpha 1))
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(/.f64 (+.f64 3 alpha) (+.f64 1 alpha))
(/.f64 (+.f64 alpha 3) (+.f64 1 alpha))
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(*.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha)))
(pow.f64 (pow.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 alpha)) 3) 1/3)
(*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 alpha)) (+.f64 alpha (+.f64 3 beta)))
(*.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 alpha)) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 alpha)) (+.f64 alpha (+.f64 3 beta))) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha)) (log.f64 (exp.f64 (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha)) (log.f64 (exp.f64 (+.f64 alpha (+.f64 2 beta)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 alpha)))))
(*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 alpha)) (+.f64 alpha (+.f64 3 beta)))
(*.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 alpha)) 3))
(*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 alpha)) (+.f64 alpha (+.f64 3 beta)))
(*.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3) (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3) (pow.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3) (pow.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)) 3) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3) (pow.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) 3) (pow.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 alpha))))
(*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 alpha)) (+.f64 alpha (+.f64 3 beta)))
(*.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha)))
(exp.f64 (-.f64 (log.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 3)))) (log1p.f64 alpha)))
(exp.f64 (-.f64 (log.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 alpha (+.f64 3 beta)))) (log1p.f64 alpha)))
(exp.f64 (-.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) (log1p.f64 alpha)))
(exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 3)))) (log1p.f64 alpha)) 1))
(exp.f64 (-.f64 (log.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 alpha (+.f64 3 beta)))) (log1p.f64 alpha)))
(exp.f64 (-.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 2 beta)) (+.f64 alpha (+.f64 3 beta)))) (log1p.f64 alpha)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 alpha))))
(*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 alpha)) (+.f64 alpha (+.f64 3 beta)))
(*.f64 (+.f64 alpha (+.f64 2 beta)) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)))) 1)
(/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))
(*.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)))
(/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))
(*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 1 (+.f64 1 alpha)))
(/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)) 1)
(/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (+.f64 1 alpha))))
(*.f64 (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 3 beta))) (sqrt.f64 (+.f64 alpha (+.f64 3 beta)))) (/.f64 1 (+.f64 1 alpha)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))))
(/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2) (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (+.f64 1 alpha))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2) (*.f64 (/.f64 1 (+.f64 1 alpha)) (cbrt.f64 (+.f64 alpha (+.f64 3 beta)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))) 2))
(/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))) 2) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))))
(/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))
(*.f64 (/.f64 1 (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))
(*.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) -3) (/.f64 1 (+.f64 -1 (neg.f64 alpha))))
(*.f64 (+.f64 (neg.f64 (+.f64 alpha beta)) -3) (/.f64 1 (-.f64 -1 alpha)))
(*.f64 (-.f64 -3 (+.f64 alpha beta)) (/.f64 1 (-.f64 -1 alpha)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 alpha))) (/.f64 (+.f64 alpha (+.f64 beta 3)) (sqrt.f64 (+.f64 1 alpha))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 alpha))) (/.f64 (+.f64 alpha (+.f64 3 beta)) (sqrt.f64 (+.f64 1 alpha))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2)) (/.f64 (+.f64 alpha (+.f64 beta 3)) (cbrt.f64 (+.f64 1 alpha))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2)) (/.f64 (+.f64 alpha (+.f64 3 beta)) (cbrt.f64 (+.f64 1 alpha))))
(/.f64 (/.f64 (*.f64 1 (+.f64 alpha (+.f64 3 beta))) (cbrt.f64 (+.f64 1 alpha))) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 1 (*.f64 alpha alpha))) (-.f64 1 alpha))
(*.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (-.f64 1 (*.f64 alpha alpha))) (-.f64 1 alpha))
(*.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 (pow.f64 alpha 3))) (+.f64 (*.f64 alpha alpha) (-.f64 1 alpha)))
(*.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 (pow.f64 alpha 3))) (fma.f64 alpha alpha (-.f64 1 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) 1) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (+.f64 1 alpha)))
(*.f64 (sqrt.f64 (+.f64 alpha (+.f64 3 beta))) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 3 beta))) (+.f64 1 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2)) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (cbrt.f64 (+.f64 1 alpha))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 3 beta))) (/.f64 (sqrt.f64 (+.f64 alpha (+.f64 3 beta))) (cbrt.f64 (+.f64 1 alpha)))) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) (+.f64 1 alpha)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) (+.f64 1 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2) (sqrt.f64 (+.f64 1 alpha))) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) (sqrt.f64 (+.f64 1 alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2) (sqrt.f64 (+.f64 1 alpha))) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) (sqrt.f64 (+.f64 1 alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2)) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 3 beta))) 2) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha)))) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)) 1)
(/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))) 2)
(/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))) 3)
(/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)) 3) 1/3)
(/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))
(pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) -1)
(/.f64 1 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))))
(neg.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 -1 (neg.f64 alpha))))
(/.f64 (neg.f64 (+.f64 alpha (+.f64 3 beta))) (-.f64 -1 alpha))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 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 alpha (+.f64 beta 3)) (+.f64 1 alpha))))
(/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)))))
(/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha)) 3))
(/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3) (pow.f64 (+.f64 1 alpha) 3)))
(/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))))
(/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))
(exp.f64 (-.f64 (log.f64 (+.f64 alpha (+.f64 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 alpha (+.f64 beta 3))) (log1p.f64 alpha)) 1))
(exp.f64 (-.f64 (log.f64 (+.f64 alpha (+.f64 3 beta))) (log1p.f64 alpha)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 1 alpha))))
(/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
1.94%
(/.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))

rewrite61.0ms (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))))))))

simplify62.0ms (0.3%)

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

Useful iterations: 3 (0.0ms)

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

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.02%
(/.f64 (+.f64 alpha 1) beta)
0.31%
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
Compiler

Compiled 33 to 21 computations (36.4% saved)

series33.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
29.0ms
alpha
@inf
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
1.0ms
beta
@0
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
1.0ms
alpha
@0
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
1.0ms
alpha
@-inf
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
0.0ms
beta
@inf
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))

rewrite86.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify141.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
04758129
114907483
274807483
Stop Event
node limit
Counts
173 → 241
Calls
Call 1
Inputs
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (*.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) alpha))
(+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 2)) (*.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) alpha)))
(+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) alpha) (*.f64 (-.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 4)))) (pow.f64 alpha 3)))))
(/.f64 1 beta)
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (*.f64 beta alpha))) (+.f64 (/.f64 3 (*.f64 beta alpha)) (/.f64 1 alpha)))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (-.f64 (/.f64 1 beta) (+.f64 1 (*.f64 3 (/.f64 1 beta))))) (pow.f64 alpha 2)))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 beta alpha))) (/.f64 1 alpha)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (-.f64 (/.f64 1 beta) (+.f64 1 (*.f64 3 (/.f64 1 beta))))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (-.f64 (/.f64 1 beta) (+.f64 1 (*.f64 3 (/.f64 1 beta))))) (pow.f64 alpha 2))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 beta alpha))) (/.f64 1 alpha)))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) (*.f64 beta alpha))) (/.f64 1 (*.f64 beta alpha))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) (*.f64 beta alpha))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 beta 3) beta))) (+.f64 beta 3)) (pow.f64 alpha 2))))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) (*.f64 beta alpha))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) beta)) (/.f64 1 beta))) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 beta 3) beta))) (+.f64 beta 3)) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 3 alpha)))
(+.f64 (/.f64 1 (*.f64 beta (+.f64 3 alpha))) (+.f64 (*.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 alpha (*.f64 beta (+.f64 3 alpha)))))
(+.f64 (/.f64 1 (*.f64 beta (+.f64 3 alpha))) (+.f64 (*.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 3 alpha)) (/.f64 alpha (*.f64 beta (+.f64 3 alpha))))))
(+.f64 (/.f64 1 (*.f64 beta (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 4)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 4))))) (+.f64 (*.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 3 alpha)) (/.f64 alpha (*.f64 beta (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 4)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 4))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 4)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 4))))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 alpha beta)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 alpha beta)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) (fma.f64 (neg.f64 (+.f64 beta 3)) 1 (+.f64 beta 3))))
(+.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 3))))
(+.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) (+.f64 beta 3))))
(+.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) alpha) (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) (neg.f64 (+.f64 beta 3))))
(+.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) alpha) (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) (+.f64 (neg.f64 beta) -3)))
(+.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) alpha) (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)))))
(+.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) alpha) (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (cbrt.f64 (+.f64 beta 3)))))
(+.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta)) (*.f64 alpha alpha)) (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta)) (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(+.f64 (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta)) (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))) (*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta)) (*.f64 alpha alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))))) 1)
(*.f64 1 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 alpha 1) (*.f64 (/.f64 1 beta) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 alpha 1) (/.f64 1 (*.f64 beta (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (-.f64 (-.f64 alpha beta) 3) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(*.f64 (/.f64 (+.f64 alpha 1) beta) (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) 1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3))))) (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3))))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)) (*.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)) (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3))))) 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 alpha 1) beta))
(*.f64 (/.f64 (-.f64 -1 alpha) beta) (/.f64 1 (-.f64 -3 (+.f64 alpha beta))))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 beta))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) beta)) (-.f64 (-.f64 alpha beta) 3))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(*.f64 (/.f64 1 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (*.f64 (/.f64 (+.f64 alpha 1) beta) (-.f64 (-.f64 alpha beta) 3)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (*.f64 (/.f64 (+.f64 alpha 1) beta) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(*.f64 (/.f64 1 (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) (+.f64 alpha 1))
(*.f64 (/.f64 1 (-.f64 -3 (+.f64 alpha beta))) (/.f64 (-.f64 -1 alpha) beta))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (sqrt.f64 (+.f64 alpha 1)) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 alpha (+.f64 beta 3))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) beta))
(*.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (/.f64 1 beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) beta)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)) (+.f64 alpha (+.f64 beta 3))) (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)) (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3))))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (neg.f64 (-.f64 (-.f64 alpha beta) 3)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(*.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) 2))) (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (-.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha alpha))) (+.f64 beta (-.f64 3 alpha)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (-.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 9)) (+.f64 alpha (+.f64 beta -3)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 27 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (-.f64 9 (*.f64 (+.f64 alpha beta) 3))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (+.f64 alpha 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) (cbrt.f64 (+.f64 alpha 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) 2) (+.f64 alpha (+.f64 beta 3))) (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) 1) (/.f64 (+.f64 alpha 1) beta))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) beta) (+.f64 alpha 1))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (sqrt.f64 beta)) (/.f64 (+.f64 alpha 1) (sqrt.f64 beta)))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (+.f64 alpha 1) (cbrt.f64 beta)))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (neg.f64 beta)) (-.f64 -1 alpha))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 beta 1)) (+.f64 alpha 1))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 beta (sqrt.f64 (+.f64 alpha 1)))) (sqrt.f64 (+.f64 alpha 1)))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2))) (cbrt.f64 (+.f64 alpha 1)))
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) beta) (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (-.f64 (-.f64 alpha beta) 3))
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) beta) (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (sqrt.f64 (-.f64 (-.f64 alpha beta) 3)))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (cbrt.f64 (-.f64 (-.f64 alpha beta) 3)))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3))))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) 3) 1/3)
(pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 beta (+.f64 alpha 1))) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (-.f64 -3 (+.f64 alpha beta))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha 1) beta) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3))))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta (+.f64 alpha (+.f64 beta 3))))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta (+.f64 alpha (+.f64 beta 3))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3))))))
(+.f64 (/.f64 1 beta) (*.f64 (/.f64 1 beta) alpha))
(+.f64 (*.f64 (/.f64 1 beta) alpha) (/.f64 1 beta))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) beta))) 1)
(*.f64 1 (/.f64 (+.f64 alpha 1) beta))
(*.f64 (+.f64 alpha 1) (/.f64 1 beta))
(*.f64 (/.f64 (+.f64 alpha 1) beta) 1)
(*.f64 (sqrt.f64 (+.f64 alpha 1)) (*.f64 (sqrt.f64 (+.f64 alpha 1)) (/.f64 1 beta)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)) (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (*.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 1 beta)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)))
(*.f64 (/.f64 1 beta) (+.f64 alpha 1))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (neg.f64 beta)))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (+.f64 alpha 1) (sqrt.f64 beta)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (+.f64 alpha 1) (cbrt.f64 beta)))
(*.f64 (/.f64 1 (neg.f64 beta)) (-.f64 -1 alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) beta) (sqrt.f64 (+.f64 alpha 1)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) 1) (/.f64 (sqrt.f64 (+.f64 alpha 1)) beta))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (+.f64 alpha 1)) (cbrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha 1)) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (sqrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)))
(*.f64 (/.f64 1 (/.f64 beta (sqrt.f64 (+.f64 alpha 1)))) (sqrt.f64 (+.f64 alpha 1)))
(*.f64 (/.f64 1 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2))) (cbrt.f64 (+.f64 alpha 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) beta) (cbrt.f64 (+.f64 alpha 1)))
(*.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 1 beta)) (fma.f64 alpha alpha -1)) (+.f64 alpha 1))
(*.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 1 beta)) (-.f64 (pow.f64 alpha 3) 1)) (+.f64 1 (+.f64 alpha (*.f64 alpha alpha))))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 beta)) (-.f64 (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha)) (*.f64 (-.f64 1 alpha) (-.f64 1 alpha)))) (+.f64 (fma.f64 alpha alpha -1) alpha))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 beta)) (+.f64 (pow.f64 (*.f64 alpha alpha) 3) (pow.f64 (-.f64 1 alpha) 3))) (+.f64 (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha)) (-.f64 (*.f64 (-.f64 1 alpha) (-.f64 1 alpha)) (*.f64 (*.f64 alpha alpha) (-.f64 1 alpha)))))
(pow.f64 (/.f64 (+.f64 alpha 1) beta) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) beta) 3) 1/3)
(pow.f64 (/.f64 beta (+.f64 alpha 1)) -1)
(neg.f64 (/.f64 (+.f64 alpha 1) (neg.f64 beta)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) beta) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) beta))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) beta) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 beta 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) beta)))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 beta)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 beta)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) beta)))
Outputs
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (*.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) alpha))
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (*.f64 (-.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 2))) alpha))
(fma.f64 (-.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 2))) alpha (/.f64 (/.f64 1 beta) (+.f64 beta 3)))
(+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 2)) (*.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) alpha)))
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (fma.f64 (-.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 3)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 2))) (*.f64 alpha alpha) (*.f64 (-.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 2))) alpha)))
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (fma.f64 (-.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 2))) alpha (*.f64 (-.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 3)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 2))) (*.f64 alpha alpha))))
(+.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (*.f64 beta (+.f64 beta 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) alpha) (*.f64 (-.f64 (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 3))) (/.f64 1 (*.f64 beta (pow.f64 (+.f64 beta 3) 4)))) (pow.f64 alpha 3)))))
(+.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (fma.f64 (-.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 3)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 2))) (*.f64 alpha alpha) (fma.f64 (-.f64 (/.f64 (/.f64 1 beta) (+.f64 beta 3)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 2))) alpha (*.f64 (-.f64 (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 3)) (/.f64 (/.f64 1 beta) (pow.f64 (+.f64 beta 3) 4))) (pow.f64 alpha 3)))))
(/.f64 1 beta)
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (*.f64 beta alpha))) (+.f64 (/.f64 3 (*.f64 beta alpha)) (/.f64 1 alpha)))
(-.f64 (+.f64 (/.f64 1 beta) (/.f64 (/.f64 1 beta) alpha)) (+.f64 (/.f64 3 (*.f64 beta alpha)) (/.f64 1 alpha)))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 1 (*.f64 beta alpha)) (+.f64 (/.f64 (/.f64 3 alpha) beta) (/.f64 1 alpha))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (-.f64 (/.f64 1 beta) (+.f64 1 (*.f64 3 (/.f64 1 beta))))) (pow.f64 alpha 2)))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 beta alpha))) (/.f64 1 alpha)))
(+.f64 (/.f64 1 beta) (-.f64 (neg.f64 (/.f64 (+.f64 beta 3) (/.f64 (*.f64 alpha alpha) (-.f64 (-.f64 (/.f64 1 beta) 1) (/.f64 3 beta))))) (+.f64 (/.f64 1 alpha) (/.f64 2 (*.f64 beta alpha)))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 (-.f64 -3 beta) (/.f64 (*.f64 alpha alpha) (-.f64 (/.f64 1 beta) (+.f64 1 (/.f64 3 beta))))) (+.f64 (/.f64 1 alpha) (/.f64 2 (*.f64 beta alpha)))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (-.f64 (/.f64 1 beta) (+.f64 1 (*.f64 3 (/.f64 1 beta))))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 3) (-.f64 (/.f64 1 beta) (+.f64 1 (*.f64 3 (/.f64 1 beta))))) (pow.f64 alpha 2))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 beta alpha))) (/.f64 1 alpha)))
(-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 3) 2) (/.f64 (pow.f64 alpha 3) (-.f64 (-.f64 (/.f64 1 beta) 1) (/.f64 3 beta)))) (/.f64 1 beta)) (neg.f64 (/.f64 (+.f64 beta 3) (/.f64 (*.f64 alpha alpha) (-.f64 (-.f64 (/.f64 1 beta) 1) (/.f64 3 beta)))))) (+.f64 (/.f64 1 alpha) (/.f64 2 (*.f64 beta alpha))))
(+.f64 (-.f64 (/.f64 1 beta) (*.f64 (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)) (-.f64 (/.f64 1 beta) (+.f64 1 (/.f64 3 beta))))) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (-.f64 (/.f64 1 beta) (+.f64 1 (/.f64 3 beta)))) (+.f64 (/.f64 1 alpha) (/.f64 2 (*.f64 beta alpha)))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) (*.f64 beta alpha))) (/.f64 1 (*.f64 beta alpha))))
(+.f64 (/.f64 1 beta) (fma.f64 -1 (/.f64 (+.f64 beta 3) (*.f64 beta alpha)) (/.f64 (/.f64 1 beta) alpha)))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 (+.f64 beta 3) (*.f64 beta alpha))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) (*.f64 beta alpha))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 beta 3) beta))) (+.f64 beta 3)) (pow.f64 alpha 2))))))
(+.f64 (/.f64 1 beta) (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 3) (*.f64 beta alpha)) (/.f64 (/.f64 1 beta) alpha)) (neg.f64 (/.f64 (fma.f64 -1 (/.f64 (+.f64 beta 3) beta) (/.f64 1 beta)) (/.f64 (*.f64 alpha alpha) (+.f64 beta 3))))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 (/.f64 (-.f64 -3 beta) beta) alpha) (+.f64 (/.f64 1 (*.f64 beta alpha)) (/.f64 (*.f64 (-.f64 -3 beta) (-.f64 (/.f64 1 beta) (/.f64 (+.f64 beta 3) beta))) (*.f64 alpha alpha)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (*.f64 beta alpha)) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) (*.f64 beta alpha))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) beta)) (/.f64 1 beta))) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 beta 3) beta))) (+.f64 beta 3)) (pow.f64 alpha 2)))))))
(+.f64 (/.f64 1 beta) (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta 3) (*.f64 beta alpha)) (/.f64 (/.f64 1 beta) alpha)) (+.f64 (neg.f64 (/.f64 (fma.f64 -1 (/.f64 (+.f64 beta 3) beta) (/.f64 1 beta)) (/.f64 (*.f64 alpha alpha) (+.f64 beta 3)))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (/.f64 (pow.f64 alpha 3) (fma.f64 -1 (/.f64 (+.f64 beta 3) beta) (/.f64 1 beta)))))))
(+.f64 (+.f64 (/.f64 1 beta) (/.f64 1 (*.f64 beta alpha))) (+.f64 (/.f64 (*.f64 (-.f64 -3 beta) (-.f64 (/.f64 1 beta) (/.f64 (+.f64 beta 3) beta))) (*.f64 alpha alpha)) (+.f64 (/.f64 (/.f64 (-.f64 -3 beta) beta) alpha) (*.f64 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (-.f64 (/.f64 1 beta) (/.f64 (+.f64 beta 3) beta))))))
(/.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 3 alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 3 alpha))
(+.f64 (/.f64 1 (*.f64 beta (+.f64 3 alpha))) (+.f64 (*.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (/.f64 alpha (*.f64 beta (+.f64 3 alpha)))))
(+.f64 (/.f64 1 (*.f64 beta (+.f64 3 alpha))) (fma.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))) (/.f64 alpha (*.f64 beta (+.f64 3 alpha)))))
(+.f64 (/.f64 alpha (*.f64 beta (+.f64 3 alpha))) (-.f64 (/.f64 1 (*.f64 beta (+.f64 3 alpha))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))))
(+.f64 (/.f64 1 (*.f64 beta (+.f64 3 alpha))) (+.f64 (*.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 3 alpha)) (/.f64 alpha (*.f64 beta (+.f64 3 alpha))))))
(+.f64 (/.f64 1 (*.f64 beta (+.f64 3 alpha))) (fma.f64 -1 (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 alpha (*.f64 beta (+.f64 3 alpha))) (/.f64 beta (/.f64 (+.f64 3 alpha) (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))))))))
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(pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) 1)
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 3 alpha)))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3))))) 2)
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 3 alpha)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3))))) 3)
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 3 alpha)))
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) 3) 1/3)
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 3 alpha)))
(pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 beta (+.f64 alpha 1))) -1)
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 3 alpha)))
(neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) beta) (-.f64 -3 (+.f64 alpha beta))))
(*.f64 (/.f64 (-.f64 -1 alpha) beta) (/.f64 1 (-.f64 -3 (+.f64 beta alpha))))
(/.f64 (-.f64 -1 alpha) (*.f64 beta (-.f64 (-.f64 -3 beta) alpha)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) 2))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha)) 2))
(fabs.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 3 alpha))))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3))))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 3 alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 3 alpha)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3)))) 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 3 alpha)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha 1) beta) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 3 alpha)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3))))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 3 alpha)))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta (+.f64 alpha (+.f64 beta 3))))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta (+.f64 (+.f64 beta 3) alpha)))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (*.f64 beta (+.f64 beta (+.f64 3 alpha))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta (+.f64 alpha (+.f64 beta 3))))) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 beta (+.f64 (+.f64 beta 3) alpha)))))
(/.f64 (exp.f64 (log1p.f64 alpha)) (*.f64 beta (+.f64 beta (+.f64 3 alpha))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (*.f64 beta (+.f64 alpha (+.f64 beta 3))))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 3 alpha)))
(+.f64 (/.f64 1 beta) (*.f64 (/.f64 1 beta) alpha))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(+.f64 (*.f64 (/.f64 1 beta) alpha) (/.f64 1 beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) beta))) 1)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 1 (/.f64 (+.f64 alpha 1) beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (+.f64 alpha 1) (/.f64 1 beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (/.f64 (+.f64 alpha 1) beta) 1)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (sqrt.f64 (+.f64 alpha 1)) (*.f64 (sqrt.f64 (+.f64 alpha 1)) (/.f64 1 beta)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)) (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (*.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 1 beta)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) 2))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (/.f64 1 beta) (+.f64 alpha 1))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (-.f64 -1 alpha) (/.f64 1 (neg.f64 beta)))
(/.f64 (*.f64 (-.f64 -1 alpha) 1) (neg.f64 beta))
(/.f64 (-.f64 -1 alpha) (neg.f64 beta))
(*.f64 (/.f64 1 (sqrt.f64 beta)) (/.f64 (+.f64 alpha 1) (sqrt.f64 beta)))
(*.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 beta)) (/.f64 1 (sqrt.f64 beta)))
(/.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 beta)) (sqrt.f64 beta))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (+.f64 alpha 1) (cbrt.f64 beta)))
(/.f64 (*.f64 1 (/.f64 (+.f64 1 alpha) (cbrt.f64 beta))) (pow.f64 (cbrt.f64 beta) 2))
(/.f64 (/.f64 (+.f64 1 alpha) (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2))
(*.f64 (/.f64 1 (neg.f64 beta)) (-.f64 -1 alpha))
(/.f64 (*.f64 (-.f64 -1 alpha) 1) (neg.f64 beta))
(/.f64 (-.f64 -1 alpha) (neg.f64 beta))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) beta) (sqrt.f64 (+.f64 alpha 1)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) 1) (/.f64 (sqrt.f64 (+.f64 alpha 1)) beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha 1)) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (sqrt.f64 (+.f64 alpha 1)) (cbrt.f64 beta)))
(/.f64 (*.f64 1 (/.f64 (+.f64 1 alpha) (cbrt.f64 beta))) (pow.f64 (cbrt.f64 beta) 2))
(/.f64 (/.f64 (+.f64 1 alpha) (cbrt.f64 beta)) (pow.f64 (cbrt.f64 beta) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha 1)) beta))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (sqrt.f64 beta)) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (sqrt.f64 beta)))
(*.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 beta)) (/.f64 1 (sqrt.f64 beta)))
(/.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 beta)) (sqrt.f64 beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) beta)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 beta) 2)))
(*.f64 (/.f64 1 (/.f64 beta (sqrt.f64 (+.f64 alpha 1)))) (sqrt.f64 (+.f64 alpha 1)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (/.f64 1 (/.f64 beta (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2))) (cbrt.f64 (+.f64 alpha 1)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) beta) (cbrt.f64 (+.f64 alpha 1)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(*.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 1 beta)) (fma.f64 alpha alpha -1)) (+.f64 alpha 1))
(/.f64 (*.f64 (*.f64 (/.f64 1 beta) (fma.f64 alpha alpha -1)) (+.f64 1 alpha)) (fma.f64 alpha alpha -1))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 (+.f64 1 alpha) beta)) (fma.f64 alpha alpha -1))
(*.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 1 beta)) (-.f64 (pow.f64 alpha 3) 1)) (+.f64 1 (+.f64 alpha (*.f64 alpha alpha))))
(*.f64 (/.f64 (fma.f64 alpha alpha -1) (/.f64 (+.f64 (pow.f64 alpha 3) -1) (/.f64 1 beta))) (+.f64 1 (+.f64 alpha (*.f64 alpha alpha))))
(*.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) beta) (+.f64 (pow.f64 alpha 3) -1)) (fma.f64 (+.f64 1 alpha) alpha 1))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 beta)) (-.f64 (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha)) (*.f64 (-.f64 1 alpha) (-.f64 1 alpha)))) (+.f64 (fma.f64 alpha alpha -1) alpha))
(*.f64 (/.f64 (*.f64 (/.f64 1 beta) (+.f64 1 (pow.f64 alpha 3))) (-.f64 (*.f64 alpha (pow.f64 alpha 3)) (*.f64 (-.f64 1 alpha) (-.f64 1 alpha)))) (+.f64 alpha (fma.f64 alpha alpha -1)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (*.f64 (-.f64 (pow.f64 alpha 4) (*.f64 (-.f64 1 alpha) (-.f64 1 alpha))) beta)) (+.f64 alpha (fma.f64 alpha alpha -1)))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 beta)) (+.f64 (pow.f64 (*.f64 alpha alpha) 3) (pow.f64 (-.f64 1 alpha) 3))) (+.f64 (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha)) (-.f64 (*.f64 (-.f64 1 alpha) (-.f64 1 alpha)) (*.f64 (*.f64 alpha alpha) (-.f64 1 alpha)))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (+.f64 (pow.f64 (*.f64 alpha alpha) 3) (pow.f64 (-.f64 1 alpha) 3)) (/.f64 1 beta))) (+.f64 (*.f64 alpha (pow.f64 alpha 3)) (*.f64 (-.f64 1 alpha) (-.f64 (-.f64 1 alpha) (*.f64 alpha alpha)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) beta) (/.f64 (+.f64 (pow.f64 alpha 6) (pow.f64 (-.f64 1 alpha) 3)) (fma.f64 (-.f64 1 alpha) (-.f64 1 (fma.f64 alpha alpha alpha)) (pow.f64 alpha 4))))
(pow.f64 (/.f64 (+.f64 alpha 1) beta) 1)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) beta)) 2)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) beta)) 3)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) beta) 3) 1/3)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(pow.f64 (/.f64 beta (+.f64 alpha 1)) -1)
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(neg.f64 (/.f64 (+.f64 alpha 1) (neg.f64 beta)))
(/.f64 (*.f64 (-.f64 -1 alpha) 1) (neg.f64 beta))
(/.f64 (-.f64 -1 alpha) (neg.f64 beta))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) beta) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) beta) 2))
(fabs.f64 (/.f64 (+.f64 1 alpha) beta))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) beta)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) beta))))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) beta) 3))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 beta 3)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) beta)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 beta)))
(/.f64 (exp.f64 (log1p.f64 alpha)) beta)
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 beta)) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 beta)))
(/.f64 (exp.f64 (log1p.f64 alpha)) beta)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) beta)))
(+.f64 (/.f64 1 beta) (/.f64 alpha beta))
(/.f64 (+.f64 1 alpha) beta)

localize22.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.03%
(/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha)))
0.11%
(/.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)

series13.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite130.0ms (0.7%)

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 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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)))))))))

simplify181.0ms (1%)

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)))))
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1/2
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1/2
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(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) 1) (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3)))) (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2))) (+.f64 beta (-.f64 3 (*.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3)))) (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (neg.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2)))) (neg.f64 (+.f64 beta (-.f64 3 (*.f64 alpha 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3))))) (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3))))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 3 (*.f64 alpha 2)) (+.f64 3 (*.f64 alpha 2))))) (-.f64 beta (+.f64 3 (*.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (-.f64 (pow.f64 (*.f64 alpha 2) 2) (pow.f64 (+.f64 beta 3) 2))) (-.f64 (*.f64 alpha 2) (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 (*.f64 alpha 2)) 3))) (-.f64 (+.f64 (*.f64 beta beta) (*.f64 (+.f64 3 (*.f64 alpha 2)) (+.f64 3 (*.f64 alpha 2)))) (*.f64 beta (+.f64 3 (*.f64 alpha 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (fma.f64 alpha 2 (+.f64 beta 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3))))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (fma.f64 alpha 2 (+.f64 beta 3)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2)))) (sqrt.f64 (+.f64 beta (-.f64 3 (*.f64 alpha 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 (+.f64 beta 3))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3))))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 (+.f64 beta 3))) 2)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2)))) (cbrt.f64 (+.f64 beta (-.f64 3 (*.f64 alpha 2)))))
(pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha 1)) -1)
(neg.f64 (/.f64 (+.f64 alpha 1) (-.f64 -3 (+.f64 beta (*.f64 alpha 2)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (fma.f64 alpha 2 (+.f64 beta 3)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (fma.f64 alpha 2 (+.f64 beta 3)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (fma.f64 alpha 2 (+.f64 beta 3)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))))
Outputs
(/.f64 1 (pow.f64 (+.f64 beta 3) 2))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3)))))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (/.f64 (*.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 2))) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))))))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (fma.f64 -1 (*.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 beta 3) 4)) (/.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3)))))))) (*.f64 alpha alpha)) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3))))))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (fma.f64 -1 (*.f64 alpha (*.f64 alpha (+.f64 (/.f64 2 (pow.f64 (+.f64 beta 3) 4)) (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3))))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta (+.f64 (*.f64 2 beta) 9))))))) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3))))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (/.f64 (*.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 (+.f64 beta 3) 2))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3))))) (pow.f64 (+.f64 beta 3) 2))) (*.f64 2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))))) (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (/.f64 (*.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 2))) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))))))
(fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 beta 3) 4)) (/.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3)))))))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))))) (*.f64 2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3))))) (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (fma.f64 -1 (*.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 beta 3) 4)) (/.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3)))))))) (*.f64 alpha alpha)) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3)))))))))
(fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 beta 3) 4)) (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3))))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta (+.f64 (*.f64 2 beta) 9))))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta (+.f64 (*.f64 2 beta) 9)))) (*.f64 2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3))))) (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (fma.f64 -1 (*.f64 alpha (*.f64 alpha (+.f64 (/.f64 2 (pow.f64 (+.f64 beta 3) 4)) (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3))))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta (+.f64 (*.f64 2 beta) 9))))))) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3)))))))))
(/.f64 1/2 alpha)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (-.f64 (/.f64 1/2 alpha) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (*.f64 alpha alpha)))))
(+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (-.f64 (/.f64 1/2 alpha) (/.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (/.f64 (*.f64 alpha alpha) 1/4))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (*.f64 1/4 (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (+.f64 1/2 (*.f64 -1/4 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6)))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) 1/4)) (pow.f64 alpha 3)) (+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (/.f64 1/2 alpha))) (*.f64 -1/4 (/.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (*.f64 alpha alpha))))
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (+.f64 1/2 (*.f64 -1/4 (+.f64 beta (+.f64 (*.f64 2 beta) 9))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) 1/4)) (pow.f64 alpha 3)) (+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (/.f64 1/2 alpha))) (*.f64 -1/4 (/.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (pow.f64 (+.f64 beta 3) 2))) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (*.f64 1/4 (pow.f64 (+.f64 beta 3) 2))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3))))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (*.f64 1/4 (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))))) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 1/2 (*.f64 -1/4 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6)))))) (*.f64 -1/2 (*.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (fma.f64 1/2 (*.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (+.f64 1/2 (*.f64 -1/4 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6)))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) 1/4))))) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (+.f64 1/2 (*.f64 -1/4 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6)))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) 1/4)) (pow.f64 alpha 3)) (+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (/.f64 1/2 alpha)))) (*.f64 -1/4 (/.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (*.f64 alpha alpha))))
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 1/2 (*.f64 -1/4 (+.f64 beta (+.f64 (*.f64 2 beta) 9))))) (*.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (*.f64 (fma.f64 1/2 (*.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (+.f64 1/2 (*.f64 -1/4 (+.f64 beta (+.f64 (*.f64 2 beta) 9))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) 1/4)) -1/2))) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (+.f64 1/2 (*.f64 -1/4 (+.f64 beta (+.f64 (*.f64 2 beta) 9))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) 1/4)) (pow.f64 alpha 3)) (+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (/.f64 1/2 alpha)))) (*.f64 -1/4 (/.f64 (+.f64 beta (+.f64 (*.f64 2 beta) 9)) (*.f64 alpha alpha))))
(/.f64 1/2 alpha)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(+.f64 (+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (/.f64 1/2 alpha)) (*.f64 1/4 (/.f64 (*.f64 (+.f64 beta 3) -3) (*.f64 alpha alpha))))
(+.f64 (/.f64 1/2 (*.f64 alpha alpha)) (-.f64 (/.f64 1/2 alpha) (/.f64 (*.f64 (+.f64 beta 3) 3/4) (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1/2 (*.f64 -1/4 (+.f64 (*.f64 -1 (+.f64 beta 3)) (*.f64 -2 (+.f64 beta 3)))))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
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(-.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)))
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1/2
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1/2
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(/.f64 (+.f64 1 alpha) beta)
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(/.f64 (+.f64 1 alpha) beta)
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))))) 1)
(/.f64 (+.f64 1 alpha) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 (+.f64 beta 3) alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 3 (+.f64 beta alpha))))
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(*.f64 (+.f64 1 alpha) (/.f64 (*.f64 (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3))) (fma.f64 alpha alpha -1)) (fma.f64 alpha alpha -1)))
(*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (fma.f64 alpha alpha -1) (fma.f64 alpha 2 (+.f64 beta 3))) (fma.f64 alpha alpha -1)))
(*.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3)))) (-.f64 (pow.f64 alpha 3) 1)) (+.f64 1 (+.f64 alpha (*.f64 alpha alpha))))
(*.f64 (/.f64 (fma.f64 alpha alpha -1) (/.f64 (+.f64 (pow.f64 alpha 3) -1) (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3))))) (+.f64 1 (+.f64 alpha (*.f64 alpha alpha))))
(*.f64 (/.f64 (/.f64 (fma.f64 alpha alpha -1) (fma.f64 alpha 2 (+.f64 beta 3))) (+.f64 -1 (pow.f64 alpha 3))) (+.f64 1 (+.f64 alpha (*.f64 alpha alpha))))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3)))) (-.f64 (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha)) (*.f64 (-.f64 1 alpha) (-.f64 1 alpha)))) (+.f64 (fma.f64 alpha alpha -1) alpha))
(/.f64 (*.f64 (*.f64 (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3))) (+.f64 1 (pow.f64 alpha 3))) (+.f64 alpha (fma.f64 alpha alpha -1))) (-.f64 (pow.f64 alpha 4) (*.f64 (-.f64 1 alpha) (-.f64 1 alpha))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (fma.f64 alpha 2 (+.f64 beta 3))) (/.f64 (-.f64 (pow.f64 alpha 4) (*.f64 (-.f64 1 alpha) (-.f64 1 alpha))) (+.f64 alpha (fma.f64 alpha alpha -1))))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3)))) (+.f64 (pow.f64 (*.f64 alpha alpha) 3) (pow.f64 (-.f64 1 alpha) 3))) (-.f64 (+.f64 (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha)) (*.f64 (-.f64 1 alpha) (-.f64 1 alpha))) (*.f64 (*.f64 alpha alpha) (-.f64 1 alpha))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (+.f64 (pow.f64 (*.f64 alpha alpha) 3) (pow.f64 (-.f64 1 alpha) 3)) (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3))))) (+.f64 (pow.f64 alpha 4) (-.f64 (*.f64 (-.f64 1 alpha) (-.f64 1 alpha)) (*.f64 alpha (*.f64 alpha (-.f64 1 alpha))))))
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (fma.f64 alpha 2 (+.f64 beta 3))) (+.f64 (pow.f64 (*.f64 alpha alpha) 3) (pow.f64 (-.f64 1 alpha) 3))) (+.f64 (pow.f64 alpha 4) (-.f64 (*.f64 (-.f64 1 alpha) (-.f64 1 alpha)) (*.f64 alpha (*.f64 alpha (-.f64 1 alpha))))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) 1) (/.f64 (+.f64 beta (-.f64 3 (*.f64 alpha 2))) (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2))))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta (-.f64 3 (*.f64 2 alpha))) (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 2 alpha) 2))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) 1) (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3)))) (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3)))))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha (*.f64 2 (-.f64 (*.f64 2 alpha) (+.f64 beta 3))))) (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8))))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 2 alpha) (-.f64 (*.f64 2 alpha) (+.f64 beta 3)))) (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2))) (+.f64 beta (-.f64 3 (*.f64 alpha 2))))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta (-.f64 3 (*.f64 2 alpha))) (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 2 alpha) 2))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3)))) (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3)))))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha (*.f64 2 (-.f64 (*.f64 2 alpha) (+.f64 beta 3))))) (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8))))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 2 alpha) (-.f64 (*.f64 2 alpha) (+.f64 beta 3)))) (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (neg.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2)))) (neg.f64 (+.f64 beta (-.f64 3 (*.f64 alpha 2)))))
(/.f64 (*.f64 (+.f64 1 alpha) (neg.f64 (+.f64 beta (-.f64 3 (*.f64 2 alpha))))) (neg.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 2 alpha) 2))))
(*.f64 (neg.f64 (+.f64 beta (-.f64 3 (*.f64 2 alpha)))) (/.f64 (+.f64 1 alpha) (neg.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 2 alpha) 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3))))) (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha (*.f64 2 (-.f64 (*.f64 2 alpha) (+.f64 beta 3)))))) (/.f64 (+.f64 1 alpha) (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 2 alpha) (-.f64 (*.f64 2 alpha) (+.f64 beta 3))))) (/.f64 (+.f64 1 alpha) (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 3 (*.f64 alpha 2)) (+.f64 3 (*.f64 alpha 2))))) (-.f64 beta (+.f64 3 (*.f64 alpha 2))))
(*.f64 (-.f64 beta (+.f64 3 (*.f64 2 alpha))) (/.f64 (+.f64 1 alpha) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2))))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 -3 (*.f64 alpha -2)))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (-.f64 (pow.f64 (*.f64 alpha 2) 2) (pow.f64 (+.f64 beta 3) 2))) (-.f64 (*.f64 alpha 2) (+.f64 beta 3)))
(*.f64 (-.f64 (*.f64 2 alpha) (+.f64 beta 3)) (/.f64 (+.f64 1 alpha) (-.f64 (pow.f64 (*.f64 2 alpha) 2) (pow.f64 (+.f64 beta 3) 2))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 (*.f64 alpha 2)) 3))) (-.f64 (+.f64 (*.f64 beta beta) (*.f64 (+.f64 3 (*.f64 alpha 2)) (+.f64 3 (*.f64 alpha 2)))) (*.f64 beta (+.f64 3 (*.f64 alpha 2)))))
(*.f64 (-.f64 (fma.f64 beta beta (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)) (*.f64 beta (+.f64 3 (*.f64 2 alpha)))) (/.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 3) (pow.f64 beta 3))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (fma.f64 alpha 2 (+.f64 beta 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3))))))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (fma.f64 alpha 2 (+.f64 beta 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha (*.f64 2 (-.f64 (*.f64 2 alpha) (+.f64 beta 3))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8))))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8))) (sqrt.f64 (fma.f64 alpha 2 (+.f64 beta 3))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 2 alpha) (-.f64 (*.f64 2 alpha) (+.f64 beta 3))))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (fma.f64 alpha 2 (+.f64 beta 3)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2)))) (sqrt.f64 (+.f64 beta (-.f64 3 (*.f64 alpha 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (fma.f64 alpha 2 (+.f64 beta 3)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 2 alpha) 2)))) (sqrt.f64 (+.f64 beta (-.f64 3 (*.f64 2 alpha)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 (+.f64 beta 3))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3))))))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8))) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 (+.f64 beta 3))) 2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha (*.f64 2 (-.f64 (*.f64 2 alpha) (+.f64 beta 3)))))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 (+.f64 beta 3))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (pow.f64 alpha 3) 8)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 2 alpha) (-.f64 (*.f64 2 alpha) (+.f64 beta 3))))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 (+.f64 beta 3))) 2)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2)))) (cbrt.f64 (+.f64 beta (-.f64 3 (*.f64 alpha 2)))))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 2 alpha) 2))) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 (+.f64 beta 3))) 2))) (cbrt.f64 (+.f64 beta (-.f64 3 (*.f64 2 alpha)))))
(pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 1)
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))) 2)
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))) 3)
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 3) 1/3)
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))
(pow.f64 (/.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha 1)) -1)
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))
(neg.f64 (/.f64 (+.f64 alpha 1) (-.f64 -3 (+.f64 beta (*.f64 alpha 2)))))
(/.f64 (neg.f64 (+.f64 1 alpha)) (-.f64 -3 (+.f64 beta (*.f64 2 alpha))))
(/.f64 (neg.f64 (+.f64 1 alpha)) (-.f64 (-.f64 -3 beta) (*.f64 2 alpha)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))))
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))))))
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 3))
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (fma.f64 alpha 2 (+.f64 beta 3)) 3)))
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))))
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (fma.f64 alpha 2 (+.f64 beta 3)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (fma.f64 alpha 2 (+.f64 beta 3)))) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (fma.f64 alpha 2 (+.f64 beta 3)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))))
(/.f64 (+.f64 1 alpha) (fma.f64 alpha 2 (+.f64 beta 3)))

localize22.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.02%
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
0.42%
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
Compiler

Compiled 58 to 39 computations (32.8% saved)

series6.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite85.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01443
133443
2512843
Stop Event
node limit
Counts
1 → 51
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (*.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 2) (cbrt.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) 1) (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 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simplify105.0ms (0.6%)

Algorithm
egg-herbie
Rules
1084×associate-/l/
668×associate-/r/
556×distribute-lft-in
528×distribute-rgt-in
510×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03767387
112646853
257026843
Stop Event
node limit
Counts
75 → 163
Calls
Call 1
Inputs
(/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/9 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 3 (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/9 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 3 (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/9 (/.f64 (+.f64 7 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 1/3 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 3 (+.f64 4 (*.f64 2 alpha)))) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/9 (/.f64 (+.f64 (*.f64 3 (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4))))) (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/9 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 3 (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/9 (/.f64 (+.f64 7 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 1/3 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 3 (+.f64 4 (*.f64 2 alpha)))) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/9 (/.f64 (+.f64 (*.f64 3 (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4))))) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (+.f64 (*.f64 1/9 (/.f64 (+.f64 7 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 1/3 (/.f64 (*.f64 (+.f64 (*.f64 3 (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/9 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 3 (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 3 (+.f64 4 (*.f64 2 alpha))))) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/3 (/.f64 (*.f64 (+.f64 7 (*.f64 2 alpha)) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/9 (/.f64 (+.f64 (*.f64 3 (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4))))) (pow.f64 (+.f64 2 alpha) 2))))))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 alpha)) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 alpha)) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 3 (+.f64 4 (*.f64 2 alpha))) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 6 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 3 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 3 (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 6 (*.f64 2 alpha)))) (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 6 (*.f64 2 alpha)))) (*.f64 3 (+.f64 4 (*.f64 2 alpha))))))))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 alpha)) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 3 (+.f64 4 (*.f64 2 alpha))) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 6 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 -1 (/.f64 (+.f64 3 (*.f64 2 (+.f64 2 alpha))) (pow.f64 beta 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -6 (+.f64 2 alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (+.f64 3 (*.f64 2 (+.f64 2 alpha))) (+.f64 1 (*.f64 -1 (+.f64 3 (*.f64 2 (+.f64 2 alpha))))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 -1 (/.f64 (+.f64 3 (*.f64 2 (+.f64 2 alpha))) (pow.f64 beta 3))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -6 (+.f64 2 alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (+.f64 3 (*.f64 2 (+.f64 2 alpha))) (+.f64 1 (*.f64 -1 (+.f64 3 (*.f64 2 (+.f64 2 alpha))))))) (pow.f64 beta 4))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -6 (+.f64 2 alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 1 (*.f64 -1 (+.f64 3 (*.f64 2 (+.f64 2 alpha)))))) (pow.f64 beta 5)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 3 (*.f64 2 (+.f64 2 alpha))) (pow.f64 beta 3))) (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -6 (+.f64 2 alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (+.f64 (*.f64 -1 (+.f64 3 (*.f64 2 (+.f64 2 alpha)))) 1) (+.f64 3 (*.f64 2 (+.f64 2 alpha))))) (+.f64 3 (*.f64 2 (+.f64 2 alpha)))) (pow.f64 beta 5))))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 6)))))) (pow.f64 alpha 2))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 6))))))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 6))))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 4))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 6)))))) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 alpha 2)))
(+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (pow.f64 alpha 3))))))
(+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (+.f64 beta 3)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (pow.f64 alpha 3)))))))
(+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (+.f64 beta 3)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (*.f64 (+.f64 beta 3) (pow.f64 alpha 3)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (+.f64 beta 3)))) (+.f64 4 (*.f64 2 beta)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 4 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 3)))) (pow.f64 alpha 5)))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 alpha 2)))
(+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (pow.f64 alpha 3))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (*.f64 -4 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)))) (pow.f64 alpha 4))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (*.f64 -2 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (pow.f64 alpha 3)))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (*.f64 -4 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)))) (pow.f64 alpha 4))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (pow.f64 alpha 3)))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 3)) (*.f64 (+.f64 beta 3) (pow.f64 alpha 5)))) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3)) (*.f64 -4 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 3))))) (pow.f64 alpha 5))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))) 1)
(*.f64 1 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (+.f64 beta 1) (*.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))
(*.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) 1)
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 2) (cbrt.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)))
(*.f64 (/.f64 (+.f64 beta 1) 1) (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))
(*.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta alpha)))))
(*.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)) (/.f64 1 (neg.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (+.f64 beta 3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (cbrt.f64 (+.f64 beta 1)) (+.f64 beta 3)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (+.f64 beta 1) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 1) (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2) (+.f64 beta (+.f64 alpha 2))) (/.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) 2) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (cbrt.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))
(pow.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (/.f64 (+.f64 beta 3) (+.f64 beta 1))) -1)
(neg.f64 (neg.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))
(neg.f64 (*.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(neg.f64 (*.f64 (neg.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 1))
(neg.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (/.f64 1 (neg.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(neg.f64 (*.f64 1 (neg.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))
(neg.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (/.f64 (-.f64 -1 beta) (+.f64 beta 3))))
(neg.f64 (/.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(neg.f64 (/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 -3 beta))))
(neg.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 3) (pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))
Outputs
(/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/9 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 3 (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))
(fma.f64 beta (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/9 (/.f64 (fma.f64 3 (*.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)))
(fma.f64 beta (-.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (*.f64 1/9 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)))
(fma.f64 beta (-.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (/.f64 1/9 (pow.f64 (+.f64 2 alpha) 4)) (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/9 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 3 (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/9 (/.f64 (+.f64 7 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 1/3 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 3 (+.f64 4 (*.f64 2 alpha)))) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/9 (/.f64 (+.f64 (*.f64 3 (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4))))) (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))
(fma.f64 beta (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/9 (/.f64 (fma.f64 3 (*.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)))) (fma.f64 -1 (*.f64 (*.f64 beta beta) (fma.f64 1/9 (/.f64 (+.f64 (*.f64 2 alpha) 7) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 1/3 (/.f64 (fma.f64 3 (*.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/9 (/.f64 (fma.f64 3 (*.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4))))))))) (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2))))
(fma.f64 beta (-.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (*.f64 1/9 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (+.f64 2 alpha) 4))) (fma.f64 (*.f64 (neg.f64 beta) beta) (fma.f64 1/3 (*.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 2)) (-.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (*.f64 1/9 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 (*.f64 1/9 (fma.f64 2 alpha 7)) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2))))
(fma.f64 beta (-.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (/.f64 1/9 (pow.f64 (+.f64 2 alpha) 4)) (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 (*.f64 (neg.f64 beta) beta) (fma.f64 1/3 (*.f64 (/.f64 (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 2)) (-.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (/.f64 1/9 (pow.f64 (+.f64 2 alpha) 4)) (fma.f64 3 (fma.f64 2 alpha 4) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 (/.f64 1/9 (pow.f64 (+.f64 2 alpha) 4)) (fma.f64 2 alpha 7))) (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/9 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 3 (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/9 (/.f64 (+.f64 7 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 1/3 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 3 (+.f64 4 (*.f64 2 alpha)))) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/9 (/.f64 (+.f64 (*.f64 3 (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4))))) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (+.f64 (*.f64 1/9 (/.f64 (+.f64 7 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 1/3 (/.f64 (*.f64 (+.f64 (*.f64 3 (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/9 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 3 (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 3 (+.f64 4 (*.f64 2 alpha))))) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/3 (/.f64 (*.f64 (+.f64 7 (*.f64 2 alpha)) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/9 (/.f64 (+.f64 (*.f64 3 (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4))))) (pow.f64 (+.f64 2 alpha) 2))))))))))
(fma.f64 beta (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/9 (/.f64 (fma.f64 3 (*.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 (fma.f64 -1 (*.f64 (*.f64 beta beta) (fma.f64 1/9 (/.f64 (+.f64 (*.f64 2 alpha) 7) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 1/3 (/.f64 (fma.f64 3 (*.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/9 (/.f64 (fma.f64 3 (*.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4))))))))) (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2))) (neg.f64 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1/9 (pow.f64 (+.f64 2 alpha) 4)) (fma.f64 -1/3 (/.f64 (fma.f64 1/9 (/.f64 (+.f64 (*.f64 2 alpha) 7) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 1/3 (/.f64 (fma.f64 3 (*.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/9 (/.f64 (fma.f64 3 (*.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)))))))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (fma.f64 3 (*.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 1/3 (/.f64 (+.f64 (*.f64 2 alpha) 7) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/9 (/.f64 (fma.f64 3 (*.f64 2 (+.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)))))))))))))
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(/.f64 (neg.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)))
(neg.f64 (*.f64 1 (neg.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(neg.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (/.f64 (-.f64 -1 beta) (+.f64 beta 3))))
(*.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2) (neg.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3))))
(*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (/.f64 (neg.f64 (-.f64 -1 beta)) (+.f64 beta 3)))
(neg.f64 (/.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(/.f64 (neg.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3))) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2))
(/.f64 (/.f64 (neg.f64 (-.f64 -1 beta)) (+.f64 beta 3)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))
(neg.f64 (/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (-.f64 -3 beta))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(neg.f64 (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (+.f64 beta (+.f64 alpha 2))) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (neg.f64 (/.f64 1 (neg.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))))
(/.f64 (neg.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4)))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 2) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 4)))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 2) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 4)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) 3))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) 3) (pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 3)))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))))
(/.f64 (exp.f64 (log1p.f64 beta)) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 1))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)))))
(/.f64 (exp.f64 (log1p.f64 beta)) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 (+.f64 2 alpha) beta) -2))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))

eval1.3s (7.1%)

Compiler

Compiled 61693 to 45174 computations (26.8% saved)

prune566.0ms (3%)

Pruning

25 alts after pruning (20 fresh and 5 done)

PrunedKeptTotal
New1474141488
Fresh4610
Picked011
Done145
Total1479251504
Error
0%
Counts
1504 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
54.39%
(pow.f64 beta -2)
25.53%
(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 alpha (*.f64 beta alpha)) (/.f64 (*.f64 beta beta) (+.f64 beta -1))) (/.f64 1 (+.f64 beta -1))) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
6.94%
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
39.63%
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
48.07%
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
23.25%
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
49.02%
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
5.43%
(/.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))))
52.84%
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
68.34%
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
45.17%
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
53.5%
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
48.06%
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3)))
13.07%
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
42.67%
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
85.77%
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))
50.78%
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
70.67%
(/.f64 alpha (*.f64 beta beta))
53.8%
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
54.75%
(/.f64 1 (*.f64 beta beta))
94.29%
(/.f64 1 beta)
87.18%
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
97.48%
(/.f64 1/2 alpha)
6.65%
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
49.05%
(*.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 alpha 2) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
Compiler

Compiled 669 to 479 computations (28.4% saved)

localize83.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.01%
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta))
0.01%
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
0.2%
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
Compiler

Compiled 68 to 48 computations (29.4% saved)

series13.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

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

rewrite106.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
836×distribute-lft-neg-in
404×add-sqr-sqrt
392×pow1
392×*-un-lft-identity
392×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01699
138899
2594599
Stop Event
node limit
Counts
3 → 123
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 3) (+.f64 1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 1 beta) (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 3) (+.f64 1 beta))) (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 beta) (*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (/.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 1 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (/.f64 (+.f64 beta 2) (/.f64 1 (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (*.f64 (-.f64 (-.f64 -2 beta) alpha) (-.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))) (+.f64 beta (+.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 3) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))) (/.f64 (+.f64 beta (+.f64 2 alpha)) (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))) 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 2 alpha)))) (+.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 beta) (*.f64 (-.f64 (-.f64 -2 beta) alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 3) (+.f64 1 beta))) (-.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (-.f64 (-.f64 -2 beta) alpha) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 3) (+.f64 1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 beta) (-.f64 -3 beta)) (*.f64 (+.f64 beta (+.f64 2 alpha)) (-.f64 -2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 beta) (-.f64 -3 beta)) (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))) -1) (-.f64 (-.f64 -2 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (+.f64 1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 1 beta) (-.f64 -3 beta))) (-.f64 -2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) -1) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 beta) (/.f64 1 (+.f64 beta (+.f64 2 alpha)))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))) 1) (+.f64 beta (+.f64 2 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) (cbrt.f64 (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 2 alpha)))) 1) (+.f64 beta 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 2 alpha)))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 beta) -1) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (-.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 1 beta) (-.f64 -3 beta)) -1) (*.f64 (-.f64 -2 beta) (-.f64 (-.f64 -2 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))) (-.f64 (-.f64 -2 beta) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (-.f64 -1 beta) 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simplify132.0ms (0.7%)

Algorithm
egg-herbie
Rules
660×distribute-lft-in
606×*-commutative
592×associate-/r*
588×distribute-rgt-in
572×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053310631
1164410227
2752810191
Stop Event
node limit
Counts
183 → 311
Calls
Call 1
Inputs
(/.f64 1/6 (+.f64 2 alpha))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 beta (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 7 alpha)) (+.f64 2 alpha))) (+.f64 (*.f64 1/36 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 beta (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (pow.f64 beta 4)))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 6 (+.f64 2 alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (+.f64 7 alpha))))) (pow.f64 beta 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (pow.f64 beta 4))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 7 alpha))) (+.f64 7 alpha)) (*.f64 -1 (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 7 alpha))) (+.f64 7 alpha)) (*.f64 -1 (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6))) (pow.f64 beta 4))) (+.f64 (*.f64 -6 (/.f64 (+.f64 2 alpha) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 7 alpha))) (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6)) (pow.f64 beta 5)) (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 7 alpha) (+.f64 1 (*.f64 -1 (+.f64 7 alpha)))) (*.f64 -1 (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6))) (+.f64 7 alpha)) (pow.f64 beta 5))))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))))
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 beta 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 3)))) alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 5)))) (pow.f64 alpha 3))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (/.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (+.f64 beta 2)) (pow.f64 alpha 3))))))
(/.f64 1 (+.f64 2 alpha))
(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (+.f64 2 alpha)))
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(+.f64 (*.f64 -1 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (+.f64 2 alpha)))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)))))
(/.f64 1 (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 4))) (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (/.f64 1 alpha))))
1/6
(+.f64 1/6 (*.f64 1/36 beta))
(+.f64 (*.f64 -11/216 (pow.f64 beta 2)) (+.f64 1/6 (*.f64 1/36 beta)))
(+.f64 (*.f64 -11/216 (pow.f64 beta 2)) (+.f64 1/6 (+.f64 (*.f64 49/1296 (pow.f64 beta 3)) (*.f64 1/36 beta))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 14 (/.f64 1 (pow.f64 beta 3)))) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 14 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 46 (/.f64 1 (pow.f64 beta 4))) (*.f64 4 (/.f64 1 (pow.f64 beta 2)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 14 (/.f64 1 (pow.f64 beta 3)))) (*.f64 4 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 14 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 46 (/.f64 1 (pow.f64 beta 4))) (*.f64 4 (/.f64 1 (pow.f64 beta 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))))) 1)
(/.f64 1 (/.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))))
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 3) (+.f64 1 beta)))))
(/.f64 1 (/.f64 (+.f64 beta 2) (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 2 alpha))))))
(/.f64 1 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 1 beta) (+.f64 beta 3))))
(/.f64 1 (*.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 3) (+.f64 1 beta))) (+.f64 beta (+.f64 2 alpha))))
(/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (/.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 1 (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (/.f64 (+.f64 beta 2) (/.f64 1 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (/.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))) 1))
(/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (*.f64 (-.f64 (-.f64 -2 beta) alpha) (-.f64 -2 beta)))
(/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 3) (+.f64 1 beta))))
(/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))) (/.f64 (+.f64 beta (+.f64 2 alpha)) (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))) 2) (/.f64 (+.f64 beta (+.f64 2 alpha)) (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))))))
(/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 2 alpha)))) (+.f64 beta 2))
(/.f64 (-.f64 -1 beta) (*.f64 (-.f64 (-.f64 -2 beta) alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 -1 (*.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 3) (+.f64 1 beta))) (-.f64 (-.f64 -2 beta) alpha)))
(/.f64 -1 (*.f64 (-.f64 (-.f64 -2 beta) alpha) (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 3) (+.f64 1 beta)))))
(/.f64 (/.f64 (+.f64 1 beta) (-.f64 -3 beta)) (*.f64 (+.f64 beta (+.f64 2 alpha)) (-.f64 -2 beta)))
(/.f64 (/.f64 (+.f64 1 beta) (-.f64 -3 beta)) (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 alpha))))
(/.f64 (*.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))) -1) (-.f64 (-.f64 -2 beta) alpha))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (+.f64 1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 1 beta) (-.f64 -3 beta))) (-.f64 -2 beta))
(/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) -1) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 beta) alpha)))
(/.f64 (*.f64 (+.f64 1 beta) (/.f64 1 (+.f64 beta (+.f64 2 alpha)))) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))) 1) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) (cbrt.f64 (+.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 2 alpha)))) 1) (+.f64 beta 2))
(/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (+.f64 beta 2))) (sqrt.f64 (+.f64 beta 2)))
(/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 2 alpha)))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (+.f64 beta 2)))
(/.f64 (*.f64 (+.f64 1 beta) -1) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (-.f64 (-.f64 -2 beta) alpha)))
(/.f64 (*.f64 (/.f64 (+.f64 1 beta) (-.f64 -3 beta)) -1) (*.f64 (-.f64 -2 beta) (-.f64 (-.f64 -2 beta) alpha)))
(/.f64 (neg.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))) (-.f64 (-.f64 -2 beta) alpha))
(/.f64 (neg.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (+.f64 beta (+.f64 2 alpha))))) (-.f64 -2 beta))
(pow.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))) 3) (pow.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) 3) (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))) 3) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))
(exp.f64 (log.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))))) 1)
(*.f64 1 (/.f64 1 (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) 1)
(*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -1/2) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(*.f64 -1 (/.f64 1 (-.f64 (-.f64 -2 beta) alpha)))
(*.f64 (/.f64 1 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2))) (-.f64 beta (+.f64 2 alpha)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) beta))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) -1) (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) -1))
(pow.f64 (+.f64 beta (+.f64 2 alpha)) -1)
(pow.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) 1)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 2 alpha)))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 2 alpha))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 2 alpha)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))))) 1)
(*.f64 1 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))))
(*.f64 (+.f64 1 beta) (*.f64 (/.f64 -1 (-.f64 -3 beta)) (/.f64 1 (+.f64 beta 2))))
(*.f64 (+.f64 1 beta) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (*.f64 (/.f64 1 (+.f64 beta 2)) 1))
(*.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))) (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))) 1))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (*.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))) 2) (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))) 1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))))
(*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (+.f64 1 beta) (+.f64 beta 3)))
(*.f64 (/.f64 (+.f64 1 beta) (-.f64 -3 beta)) (/.f64 1 (-.f64 -2 beta)))
(*.f64 (/.f64 (+.f64 1 beta) 1) (/.f64 (/.f64 -1 (-.f64 -3 beta)) (+.f64 beta 2)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (-.f64 4 (*.f64 beta beta))) (-.f64 2 beta))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (-.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 beta 2)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 beta 3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (+.f64 beta 2)) (/.f64 (cbrt.f64 (+.f64 1 beta)) (+.f64 beta 3)))
(*.f64 (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 beta 2))) (/.f64 (/.f64 -1 (-.f64 -3 beta)) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (/.f64 -1 (-.f64 -3 beta)) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (+.f64 beta 2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (+.f64 beta 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))))
(pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))) 3) 1/3)
(pow.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 3) (+.f64 1 beta))) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (-.f64 -2 beta)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) 3) (pow.f64 (+.f64 beta 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))))
Outputs
(/.f64 1/6 (+.f64 2 alpha))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))
(fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha)))
(fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (*.f64 -1/36 (fma.f64 2 (+.f64 2 alpha) (*.f64 3 (+.f64 alpha 4)))) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1/6 (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 beta (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))))
(fma.f64 -1 (*.f64 (*.f64 beta beta) (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 alpha 4) (*.f64 2 (+.f64 2 alpha))))) (/.f64 (*.f64 1/36 (+.f64 alpha 7)) (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha))))
(-.f64 (fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (*.f64 -1/36 (fma.f64 2 (+.f64 2 alpha) (*.f64 3 (+.f64 alpha 4)))) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1/6 (+.f64 2 alpha))) (*.f64 beta (*.f64 beta (fma.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (*.f64 1/6 (*.f64 (fma.f64 2 (+.f64 2 alpha) (*.f64 3 (+.f64 alpha 4))) (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (*.f64 -1/36 (fma.f64 2 (+.f64 2 alpha) (*.f64 3 (+.f64 alpha 4)))) (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 2 alpha))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 7 alpha)) (+.f64 2 alpha))) (+.f64 (*.f64 1/36 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 beta (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))))
(fma.f64 -1 (*.f64 (pow.f64 beta 3) (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (+.f64 alpha 7))) (+.f64 (/.f64 1/36 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/6 (/.f64 (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 alpha 4) (*.f64 2 (+.f64 2 alpha))))) (/.f64 (*.f64 1/36 (+.f64 alpha 7)) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 alpha 4) (*.f64 2 (+.f64 2 alpha))))))))) (fma.f64 -1 (*.f64 (*.f64 beta beta) (fma.f64 1/6 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 alpha 4) (*.f64 2 (+.f64 2 alpha))))) (/.f64 (*.f64 1/36 (+.f64 alpha 7)) (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 -1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha)))))
(-.f64 (-.f64 (fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (*.f64 -1/36 (fma.f64 2 (+.f64 2 alpha) (*.f64 3 (+.f64 alpha 4)))) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1/6 (+.f64 2 alpha))) (*.f64 beta (*.f64 beta (fma.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (*.f64 1/6 (*.f64 (fma.f64 2 (+.f64 2 alpha) (*.f64 3 (+.f64 alpha 4))) (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (*.f64 -1/36 (fma.f64 2 (+.f64 2 alpha) (*.f64 3 (+.f64 alpha 4)))) (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 2 alpha)))))) (*.f64 (pow.f64 beta 3) (fma.f64 1/6 (*.f64 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (*.f64 -1/36 (fma.f64 2 (+.f64 2 alpha) (*.f64 3 (+.f64 alpha 4)))) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha)) (+.f64 alpha 7)) (fma.f64 -1/6 (*.f64 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (*.f64 1/6 (*.f64 (fma.f64 2 (+.f64 2 alpha) (*.f64 3 (+.f64 alpha 4))) (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (*.f64 -1/36 (fma.f64 2 (+.f64 2 alpha) (*.f64 3 (+.f64 alpha 4)))) (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 2 alpha))) (+.f64 2 alpha)) (fma.f64 2 (+.f64 2 alpha) (*.f64 3 (+.f64 alpha 4)))) (/.f64 1/36 (pow.f64 (+.f64 2 alpha) 2))))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (neg.f64 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))))
(-.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)))
(+.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (pow.f64 beta 4)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (*.f64 -1 (+.f64 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)) (/.f64 (fma.f64 -1 (*.f64 (+.f64 alpha 7) (+.f64 alpha 6)) (fma.f64 3 (+.f64 2 alpha) (+.f64 10 (*.f64 2 alpha)))) (pow.f64 beta 4)))))
(-.f64 (-.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))) (/.f64 (-.f64 (fma.f64 2 (+.f64 alpha 5) (*.f64 (+.f64 2 alpha) 3)) (*.f64 (+.f64 alpha 7) (+.f64 alpha 6))) (pow.f64 beta 4)))
(+.f64 (/.f64 (/.f64 1 beta) beta) (-.f64 (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3)) (/.f64 (fma.f64 (-.f64 -6 alpha) (+.f64 alpha 7) (fma.f64 2 (+.f64 alpha 5) (*.f64 (+.f64 2 alpha) 3))) (pow.f64 beta 4))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 6 (+.f64 2 alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (+.f64 7 alpha))))) (pow.f64 beta 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (pow.f64 beta 4))))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -1 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)) (fma.f64 -1 (/.f64 (fma.f64 6 (+.f64 2 alpha) (*.f64 -1 (+.f64 (*.f64 (+.f64 alpha 6) (fma.f64 3 (+.f64 2 alpha) (+.f64 10 (*.f64 2 alpha)))) (*.f64 (+.f64 alpha 7) (fma.f64 -1 (*.f64 (+.f64 alpha 7) (+.f64 alpha 6)) (fma.f64 3 (+.f64 2 alpha) (+.f64 10 (*.f64 2 alpha)))))))) (pow.f64 beta 5)) (neg.f64 (/.f64 (fma.f64 -1 (*.f64 (+.f64 alpha 7) (+.f64 alpha 6)) (fma.f64 3 (+.f64 2 alpha) (+.f64 10 (*.f64 2 alpha)))) (pow.f64 beta 4))))))
(+.f64 (-.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))) (-.f64 (/.f64 (neg.f64 (-.f64 (fma.f64 2 (+.f64 alpha 5) (*.f64 (+.f64 2 alpha) 3)) (*.f64 (+.f64 alpha 7) (+.f64 alpha 6)))) (pow.f64 beta 4)) (/.f64 (fma.f64 (+.f64 2 alpha) 6 (neg.f64 (fma.f64 (+.f64 alpha 6) (fma.f64 2 (+.f64 alpha 5) (*.f64 (+.f64 2 alpha) 3)) (*.f64 (+.f64 alpha 7) (-.f64 (fma.f64 2 (+.f64 alpha 5) (*.f64 (+.f64 2 alpha) 3)) (*.f64 (+.f64 alpha 7) (+.f64 alpha 6))))))) (pow.f64 beta 5))))
(-.f64 (+.f64 (/.f64 (/.f64 1 beta) beta) (-.f64 (/.f64 (-.f64 -6 alpha) (pow.f64 beta 3)) (/.f64 (fma.f64 (-.f64 -6 alpha) (+.f64 alpha 7) (fma.f64 2 (+.f64 alpha 5) (*.f64 (+.f64 2 alpha) 3))) (pow.f64 beta 4)))) (/.f64 (fma.f64 (+.f64 2 alpha) 6 (fma.f64 (-.f64 -6 alpha) (fma.f64 2 (+.f64 alpha 5) (*.f64 (+.f64 2 alpha) 3)) (*.f64 (fma.f64 (-.f64 -6 alpha) (+.f64 alpha 7) (fma.f64 2 (+.f64 alpha 5) (*.f64 (+.f64 2 alpha) 3))) (-.f64 -7 alpha)))) (pow.f64 beta 5)))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -1 (/.f64 (+.f64 alpha 7) (pow.f64 beta 3)) (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 3)) (-.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (+.f64 alpha 7) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 7 alpha))) (+.f64 7 alpha)) (*.f64 -1 (-.f64 (*.f64 -5 (+.f64 2 alpha)) 6))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 7 alpha) (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 3)))))
(fma.f64 -1 (/.f64 (fma.f64 (+.f64 alpha 7) (+.f64 1 (neg.f64 (+.f64 alpha 7))) (neg.f64 (fma.f64 -5 (+.f64 2 alpha) -6))) (pow.f64 beta 4)) (+.f64 (/.f64 1 (*.f64 beta beta)) (fma.f64 -1 (/.f64 (+.f64 alpha 7) (pow.f64 beta 3)) (/.f64 1 (pow.f64 beta 3)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 3)) (-.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (+.f64 alpha 7) (pow.f64 beta 3)))) (/.f64 (-.f64 (*.f64 (+.f64 alpha 6) (neg.f64 (+.f64 alpha 7))) (fma.f64 (+.f64 2 alpha) -5 -6)) (pow.f64 beta 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 3)) (-.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (+.f64 alpha 7) (pow.f64 beta 3)))) (/.f64 (-.f64 (*.f64 (+.f64 alpha 6) (-.f64 -7 alpha)) (fma.f64 (+.f64 2 alpha) -5 -6)) (pow.f64 beta 4)))
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(/.f64 1 beta)
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1/6
(+.f64 1/6 (*.f64 1/36 beta))
(+.f64 1/6 (*.f64 beta 1/36))
(fma.f64 beta 1/36 1/6)
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(fma.f64 -11/216 (*.f64 beta beta) (+.f64 1/6 (*.f64 beta 1/36)))
(fma.f64 (*.f64 beta beta) -11/216 (fma.f64 beta 1/36 1/6))
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(/.f64 1 beta)
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(/.f64 1 beta)
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(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 -1 (*.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 3) (+.f64 1 beta))) (-.f64 (-.f64 -2 beta) alpha)))
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(/.f64 (+.f64 beta 1) (*.f64 (*.f64 (+.f64 (+.f64 2 alpha) beta) (-.f64 -2 beta)) (-.f64 -3 beta)))
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(/.f64 (/.f64 (+.f64 1 beta) (-.f64 -3 beta)) (*.f64 (-.f64 -2 beta) (+.f64 beta (+.f64 2 alpha))))
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(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))) 1))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (*.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))))
(*.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 2 beta))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 2 beta)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))) 2))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))) 2) (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))) 1))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (/.f64 1 (+.f64 beta 2))))
(*.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 2 beta))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 2 beta)))
(*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (+.f64 1 beta) (+.f64 beta 3)))
(*.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 2 beta))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 2 beta)))
(*.f64 (/.f64 (+.f64 1 beta) (-.f64 -3 beta)) (/.f64 1 (-.f64 -2 beta)))
(*.f64 (/.f64 (+.f64 beta 1) (-.f64 -3 beta)) (/.f64 1 (-.f64 -2 beta)))
(/.f64 (+.f64 beta 1) (*.f64 (-.f64 -2 beta) (-.f64 -3 beta)))
(*.f64 (/.f64 (+.f64 1 beta) 1) (/.f64 (/.f64 -1 (-.f64 -3 beta)) (+.f64 beta 2)))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (sqrt.f64 (+.f64 2 beta))))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (sqrt.f64 (+.f64 2 beta)))) (sqrt.f64 (+.f64 2 beta)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (cbrt.f64 (+.f64 beta 2))))
(/.f64 (*.f64 1 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (cbrt.f64 (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (cbrt.f64 (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (-.f64 4 (*.f64 beta beta))) (-.f64 2 beta))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (-.f64 4 (*.f64 beta beta))) (-.f64 2 beta))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (/.f64 (-.f64 4 (*.f64 beta beta)) (-.f64 2 beta)))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (-.f64 beta 2))))
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (*.f64 (fma.f64 beta (+.f64 beta -2) 4) (+.f64 beta 1)) (*.f64 (+.f64 beta 3) (+.f64 (pow.f64 beta 3) 8)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 beta 2)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 beta 3)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 2 beta)) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 beta 3)))
(/.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 2 beta)) (/.f64 (+.f64 beta 3) (sqrt.f64 (+.f64 beta 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (+.f64 beta 2)) (/.f64 (cbrt.f64 (+.f64 1 beta)) (+.f64 beta 3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (+.f64 2 beta)) (/.f64 (cbrt.f64 (+.f64 beta 1)) (+.f64 beta 3)))
(*.f64 (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 beta 2))) (/.f64 (/.f64 -1 (-.f64 -3 beta)) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 2 beta))) (/.f64 -1 (*.f64 (sqrt.f64 (+.f64 2 beta)) (-.f64 -3 beta))))
(/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (-.f64 -3 beta) (sqrt.f64 (+.f64 2 beta)))) (sqrt.f64 (+.f64 2 beta)))
(*.f64 (/.f64 (+.f64 1 beta) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (/.f64 -1 (-.f64 -3 beta)) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (/.f64 -1 (*.f64 (cbrt.f64 (+.f64 2 beta)) (-.f64 -3 beta))))
(/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (cbrt.f64 (+.f64 2 beta)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (+.f64 beta 2)))
(*.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 2 beta))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 2 beta)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (cbrt.f64 (+.f64 beta 2))))
(/.f64 (*.f64 1 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (cbrt.f64 (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (cbrt.f64 (+.f64 2 beta)))) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (+.f64 beta 2)))
(*.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 2 beta))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 2 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 beta))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (sqrt.f64 (+.f64 2 beta))))
(/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (sqrt.f64 (+.f64 2 beta)))) (sqrt.f64 (+.f64 2 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3))) 2) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)))
(pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))) 1)
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))) 2)
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))) 3)
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))) 3) 1/3)
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(pow.f64 (*.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 3) (+.f64 1 beta))) -1)
(*.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 2 beta))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 2 beta)))
(neg.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (-.f64 -2 beta)))
(/.f64 (neg.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3))) (-.f64 -2 beta))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (-.f64 -2 beta)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta))) 2))
(fabs.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta))))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta))) 3))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) 3) (pow.f64 (+.f64 beta 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) 3) (pow.f64 (+.f64 2 beta) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta 3) (+.f64 2 beta)))))
(/.f64 (exp.f64 (log1p.f64 beta)) (*.f64 (+.f64 beta 3) (+.f64 2 beta)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 1))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta 3) (+.f64 2 beta)))))
(/.f64 (exp.f64 (log1p.f64 beta)) (*.f64 (+.f64 beta 3) (+.f64 2 beta)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -3 beta)))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -3 beta)))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 21 to 14 computations (33.3% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite228.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1452×associate-*r/
1000×associate-*l/
918×*-commutative
810×distribute-lft-in
506×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
120919
2282319
Stop Event
node limit
Counts
1 → 50
Calls
Call 1
Inputs
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (fma.f64 (neg.f64 (+.f64 beta 3)) 1 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) alpha) (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (neg.f64 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) alpha) (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (+.f64 -3 (*.f64 -1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) alpha) (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (*.f64 (sqrt.f64 (+.f64 beta 3)) (neg.f64 (sqrt.f64 (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) alpha) (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (*.f64 (cbrt.f64 (+.f64 beta 3)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (*.f64 alpha alpha)) (*.f64 (/.f64 1/2 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))) (*.f64 (/.f64 1/2 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))) (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))) 2) (cbrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 alpha (+.f64 beta 3)) (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))) (/.f64 1/2 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 -1 (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 1/2 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 1/2 (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (*.f64 1/2 (-.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (*.f64 1/2 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 alpha (+.f64 beta 3))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (neg.f64 (-.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (-.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha alpha))) (-.f64 (+.f64 beta 3) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (-.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 9)) (+.f64 alpha (+.f64 beta -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 27 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (-.f64 9 (*.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (-.f64 alpha (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (sqrt.f64 (-.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (cbrt.f64 (-.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))))))

simplify69.0ms (0.4%)

Algorithm
egg-herbie
Rules
1058×distribute-lft-in
1028×times-frac
918×distribute-rgt-in
814×associate-/l*
798×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02333540
16653482
225303450
Stop Event
node limit
Counts
74 → 124
Calls
Call 1
Inputs
(/.f64 1/2 (+.f64 beta 3))
(+.f64 (*.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 beta 3) 2))) (*.f64 1/2 (/.f64 1 (+.f64 beta 3))))
(+.f64 (*.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 beta 3) 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 3) 3))) (*.f64 1/2 (/.f64 1 (+.f64 beta 3)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 4))) (+.f64 (*.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 beta 3) 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 3) 3))) (*.f64 1/2 (/.f64 1 (+.f64 beta 3))))))
(/.f64 1/2 alpha)
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))))
(/.f64 1/2 alpha)
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))))
(/.f64 1/2 (+.f64 3 alpha))
(+.f64 (*.f64 1/2 (/.f64 1 (+.f64 3 alpha))) (*.f64 -1/2 (/.f64 beta (pow.f64 (+.f64 3 alpha) 2))))
(+.f64 (*.f64 1/2 (/.f64 1 (+.f64 3 alpha))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 3 alpha) 3))) (*.f64 -1/2 (/.f64 beta (pow.f64 (+.f64 3 alpha) 2)))))
(+.f64 (*.f64 1/2 (/.f64 1 (+.f64 3 alpha))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 3 alpha) 3))) (+.f64 (*.f64 -1/2 (/.f64 beta (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1/2 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 4))))))
(/.f64 1/2 beta)
(+.f64 (*.f64 1/2 (/.f64 1 beta)) (*.f64 -1/2 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))))
(+.f64 (*.f64 1/2 (/.f64 1 beta)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 3)))))
(+.f64 (*.f64 1/2 (/.f64 1 beta)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 3) (pow.f64 beta 4))) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 3))))))
(/.f64 1/2 beta)
(+.f64 (*.f64 1/2 (/.f64 1 beta)) (*.f64 -1/2 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))))
(+.f64 (*.f64 1/2 (/.f64 1 beta)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 3)))))
(+.f64 (*.f64 1/2 (/.f64 1 beta)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 3) (pow.f64 beta 4))) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 3 alpha) 2) (pow.f64 beta 3))))))
(+.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (fma.f64 (neg.f64 (+.f64 beta 3)) 1 (+.f64 beta 3))))
(+.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 3))))
(+.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) (+.f64 beta 3))))
(+.f64 (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) alpha) (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (neg.f64 (+.f64 beta 3))))
(+.f64 (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) alpha) (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (+.f64 -3 (*.f64 -1 beta))))
(+.f64 (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) alpha) (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (*.f64 (sqrt.f64 (+.f64 beta 3)) (neg.f64 (sqrt.f64 (+.f64 beta 3))))))
(+.f64 (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) alpha) (*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (*.f64 (cbrt.f64 (+.f64 beta 3)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)))))
(+.f64 (*.f64 (/.f64 1/2 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (*.f64 alpha alpha)) (*.f64 (/.f64 1/2 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))))
(+.f64 (*.f64 (/.f64 1/2 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))) (*.f64 (/.f64 1/2 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (*.f64 alpha alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))))) 1)
(*.f64 1/2 (/.f64 1 (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) 1)
(*.f64 1 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))))
(*.f64 (sqrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (cbrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))) (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))) 2) (cbrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (-.f64 alpha (+.f64 beta 3)) (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) 1/2)
(*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))) (/.f64 1/2 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))))
(*.f64 -1/2 (/.f64 -1 (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 1/2 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 1/2 (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 1/2 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))))
(*.f64 (/.f64 1 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (*.f64 1/2 (-.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (*.f64 1/2 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))
(*.f64 (/.f64 -1 (+.f64 alpha (+.f64 beta 3))) -1/2)
(*.f64 (/.f64 1/2 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (neg.f64 (-.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 1/2 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))
(*.f64 (/.f64 1/2 (-.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha alpha))) (-.f64 (+.f64 beta 3) alpha))
(*.f64 (/.f64 1/2 (-.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 9)) (+.f64 alpha (+.f64 beta -3)))
(*.f64 (/.f64 1/2 (+.f64 27 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (-.f64 9 (*.f64 3 (+.f64 alpha beta)))))
(*.f64 (/.f64 -1/2 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (-.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 -1/2 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))))
(*.f64 (/.f64 (/.f64 1/2 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (sqrt.f64 (-.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (/.f64 1/2 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))
(*.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (cbrt.f64 (-.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))
(pow.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) 1)
(pow.f64 (sqrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))) 2)
(pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))) 3)
(pow.f64 (pow.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) 3) 1/3)
(pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) 2) -1)
(sqrt.f64 (/.f64 1/4 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2)))
(log.f64 (exp.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))))))
(cbrt.f64 (pow.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) 3))
(expm1.f64 (log1p.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))
(exp.f64 (log.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))
(log1p.f64 (expm1.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))
Outputs
(/.f64 1/2 (+.f64 beta 3))
(+.f64 (*.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 beta 3) 2))) (*.f64 1/2 (/.f64 1 (+.f64 beta 3))))
(fma.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 beta 3) 2)) (/.f64 1/2 (+.f64 beta 3)))
(+.f64 (*.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 beta 3) 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 3) 3))) (*.f64 1/2 (/.f64 1 (+.f64 beta 3)))))
(fma.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 beta 3) 2)) (fma.f64 1/2 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 3)) (/.f64 1/2 (+.f64 beta 3))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 4))) (+.f64 (*.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 beta 3) 2))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 3) 3))) (*.f64 1/2 (/.f64 1 (+.f64 beta 3))))))
(fma.f64 -1/2 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 4)) (fma.f64 -1/2 (/.f64 alpha (pow.f64 (+.f64 beta 3) 2)) (fma.f64 1/2 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 3)) (/.f64 1/2 (+.f64 beta 3)))))
(/.f64 1/2 alpha)
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))
(fma.f64 -1/2 (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)) (/.f64 1/2 alpha))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))))
(fma.f64 1/2 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (fma.f64 -1/2 (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)) (/.f64 1/2 alpha)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 4)) (fma.f64 1/2 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (fma.f64 -1/2 (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)) (/.f64 1/2 alpha))))
(/.f64 1/2 alpha)
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))
(fma.f64 -1/2 (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)) (/.f64 1/2 alpha))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))))
(fma.f64 1/2 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (fma.f64 -1/2 (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)) (/.f64 1/2 alpha)))
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(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
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(*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))
(*.f64 1/2 (/.f64 (+.f64 (-.f64 alpha beta) -3) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(*.f64 -1/2 (/.f64 (-.f64 3 (-.f64 alpha beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (*.f64 1/2 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))
(*.f64 (/.f64 1/2 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)) (*.f64 alpha alpha)) (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3)) 1/2))
(*.f64 1/2 (/.f64 (fma.f64 (+.f64 beta 3) (-.f64 3 (-.f64 alpha beta)) (*.f64 alpha alpha)) (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))))
(*.f64 (/.f64 -1 (+.f64 alpha (+.f64 beta 3))) -1/2)
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))
(*.f64 (/.f64 1/2 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (neg.f64 (-.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))
(*.f64 1/2 (/.f64 (+.f64 (-.f64 alpha beta) -3) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(*.f64 -1/2 (/.f64 (-.f64 3 (-.f64 alpha beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(*.f64 (/.f64 1/2 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))
(*.f64 (/.f64 1/2 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)) (*.f64 alpha alpha)) (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3)) 1/2))
(*.f64 1/2 (/.f64 (fma.f64 (+.f64 beta 3) (-.f64 3 (-.f64 alpha beta)) (*.f64 alpha alpha)) (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))))
(*.f64 (/.f64 1/2 (-.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha alpha))) (-.f64 (+.f64 beta 3) alpha))
(*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))
(*.f64 1/2 (/.f64 (+.f64 (-.f64 alpha beta) -3) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(*.f64 -1/2 (/.f64 (-.f64 3 (-.f64 alpha beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(*.f64 (/.f64 1/2 (-.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 9)) (+.f64 alpha (+.f64 beta -3)))
(/.f64 (*.f64 1/2 (+.f64 alpha (+.f64 beta -3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) -9))
(/.f64 (+.f64 (*.f64 (+.f64 beta alpha) 1/2) -3/2) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) -9))
(/.f64 1/2 (/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) -9) (+.f64 beta (+.f64 alpha -3))))
(*.f64 (/.f64 1/2 (+.f64 27 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (-.f64 9 (*.f64 3 (+.f64 alpha beta)))))
(*.f64 (/.f64 1/2 (+.f64 27 (pow.f64 (+.f64 beta alpha) 3))) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (+.f64 9 (*.f64 -3 (+.f64 beta alpha)))))
(*.f64 (/.f64 1/2 (+.f64 27 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) 9) (*.f64 -3 (+.f64 beta alpha))))
(*.f64 (/.f64 1/2 (+.f64 27 (pow.f64 (+.f64 beta alpha) 3))) (-.f64 9 (*.f64 (+.f64 beta alpha) (-.f64 3 (+.f64 beta alpha)))))
(*.f64 (/.f64 -1/2 (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (-.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 1/2 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))
(*.f64 1/2 (/.f64 (+.f64 (-.f64 alpha beta) -3) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(*.f64 -1/2 (/.f64 (-.f64 3 (-.f64 alpha beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(*.f64 (/.f64 -1/2 (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))))
(*.f64 (/.f64 1/2 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)) (*.f64 alpha alpha)) (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3)) 1/2))
(*.f64 1/2 (/.f64 (fma.f64 (+.f64 beta 3) (-.f64 3 (-.f64 alpha beta)) (*.f64 alpha alpha)) (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))))
(*.f64 (/.f64 (/.f64 1/2 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (sqrt.f64 (-.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (/.f64 1/2 (sqrt.f64 (+.f64 (+.f64 beta 3) alpha))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (sqrt.f64 (-.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 1/2 (*.f64 (sqrt.f64 (+.f64 3 (+.f64 beta alpha))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))) (sqrt.f64 (+.f64 (-.f64 alpha beta) -3)))
(*.f64 (/.f64 1/2 (sqrt.f64 (+.f64 beta (+.f64 3 alpha)))) (/.f64 (sqrt.f64 (+.f64 -3 (-.f64 alpha beta))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))))
(*.f64 (/.f64 (/.f64 1/2 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))
(*.f64 (/.f64 (/.f64 1/2 (sqrt.f64 (+.f64 (+.f64 beta 3) alpha))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3)))) (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(*.f64 (/.f64 (/.f64 1/2 (sqrt.f64 (+.f64 3 (+.f64 beta alpha)))) (hypot.f64 (pow.f64 alpha 3/2) (pow.f64 (+.f64 beta 3) 3/2))) (sqrt.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)) (*.f64 alpha alpha))))
(*.f64 (/.f64 1/2 (sqrt.f64 (+.f64 beta (+.f64 3 alpha)))) (/.f64 (sqrt.f64 (fma.f64 (+.f64 beta 3) (-.f64 3 (-.f64 alpha beta)) (*.f64 alpha alpha))) (hypot.f64 (pow.f64 alpha 3/2) (pow.f64 (+.f64 beta 3) 3/2))))
(*.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (cbrt.f64 (-.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 3) alpha)) 2)) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (cbrt.f64 (-.f64 alpha (+.f64 beta 3))))
(/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 beta alpha))) 2)) (/.f64 (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (cbrt.f64 (+.f64 (-.f64 alpha beta) -3))))
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 3 alpha))) 2)) (/.f64 (cbrt.f64 (+.f64 -3 (-.f64 alpha beta))) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))))
(*.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha)))))
(*.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 3) alpha)) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3)))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(*.f64 (/.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 beta alpha))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))))) (cbrt.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)) (*.f64 alpha alpha))))
(*.f64 (/.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 3 alpha))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))))) (cbrt.f64 (fma.f64 (+.f64 beta 3) (-.f64 3 (-.f64 alpha beta)) (*.f64 alpha alpha))))
(pow.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) 1)
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))
(pow.f64 (sqrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))) 2)
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))
(pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))) 3)
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))
(pow.f64 (pow.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) 3) 1/3)
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))
(pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) 2) -1)
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))
(sqrt.f64 (/.f64 1/4 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 2)))
(sqrt.f64 (/.f64 1/4 (pow.f64 (+.f64 (+.f64 beta 3) alpha) 2)))
(sqrt.f64 (/.f64 1/4 (pow.f64 (+.f64 3 (+.f64 beta alpha)) 2)))
(sqrt.f64 (/.f64 1/4 (pow.f64 (+.f64 beta (+.f64 3 alpha)) 2)))
(log.f64 (exp.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))))))
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))
(cbrt.f64 (pow.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3))) 3))
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))
(expm1.f64 (log1p.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))
(exp.f64 (log.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))
(log1p.f64 (expm1.f64 (/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))))
(/.f64 1/2 (+.f64 (+.f64 beta 3) alpha))
(/.f64 1/2 (+.f64 3 (+.f64 beta alpha)))
(/.f64 1/2 (+.f64 beta (+.f64 3 alpha)))

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.24%
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
Compiler

Compiled 25 to 13 computations (48% saved)

series6.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite76.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1090×distribute-rgt-in
1066×distribute-lft-in
982×associate-/r/
750×associate-/l/
488×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
121525
2330225
Stop Event
node limit
Counts
1 → 86
Calls
Call 1
Inputs
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3)))) (*.f64 (/.f64 (/.f64 alpha beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (fma.f64 (+.f64 (neg.f64 beta) -3) 1 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3)))) (*.f64 (/.f64 (/.f64 alpha beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3)))) (*.f64 (/.f64 (/.f64 alpha beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (/.f64 alpha beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) alpha) (*.f64 (/.f64 (/.f64 alpha beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (+.f64 (neg.f64 beta) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 alpha (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta)) (*.f64 alpha alpha)) (*.f64 (/.f64 alpha (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta)) (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 alpha (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta)) (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))) (*.f64 (/.f64 alpha (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta)) (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 alpha (/.f64 (/.f64 alpha beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (*.f64 (+.f64 (neg.f64 beta) -3) (/.f64 (/.f64 alpha beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (-.f64 alpha 3) beta) (/.f64 (/.f64 alpha beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (*.f64 (fma.f64 (+.f64 (neg.f64 beta) -3) 1 (+.f64 beta 3)) (/.f64 (/.f64 alpha beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (-.f64 alpha 3) beta) (/.f64 (/.f64 alpha beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 3)) (/.f64 (/.f64 alpha beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (-.f64 alpha 3) beta) (/.f64 (/.f64 alpha beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) (+.f64 beta 3)) (/.f64 (/.f64 alpha beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))))))) (#(struct:change #<rule 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alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))))))))

simplify89.0ms (0.5%)

Algorithm
egg-herbie
Rules
996×associate-/r/
844×unswap-sqr
732×associate-+r+
682×+-commutative
668×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03675634
111475430
245705294
Stop Event
node limit
Counts
110 → 227
Calls
Call 1
Inputs
(/.f64 alpha (*.f64 beta (+.f64 beta 3)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) (/.f64 alpha (*.f64 beta (+.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) (+.f64 (/.f64 (pow.f64 alpha 3) (*.f64 beta (pow.f64 (+.f64 beta 3) 3))) (/.f64 alpha (*.f64 beta (+.f64 beta 3)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) (+.f64 (/.f64 (pow.f64 alpha 3) (*.f64 beta (pow.f64 (+.f64 beta 3) 3))) (+.f64 (/.f64 alpha (*.f64 beta (+.f64 beta 3))) (*.f64 -1 (/.f64 (pow.f64 alpha 4) (*.f64 beta (pow.f64 (+.f64 beta 3) 4)))))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 (*.f64 3 (/.f64 1 beta)) 1) alpha)))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 3 (/.f64 1 beta)) 1) (+.f64 beta 3)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 3 (/.f64 1 beta)) 1) alpha))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 (*.f64 3 (/.f64 1 beta)) 1)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 3 (/.f64 1 beta)) 1) alpha)) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 3 (/.f64 1 beta)) 1) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 3))))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 beta 3) (*.f64 beta alpha))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 beta (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (+.f64 beta 3) (*.f64 beta alpha)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) (*.f64 beta alpha))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 beta (pow.f64 alpha 3)))))))
(/.f64 alpha (*.f64 beta (+.f64 3 alpha)))
(+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2))) (/.f64 alpha (*.f64 beta (+.f64 3 alpha))))
(+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 3 alpha) 3)) (/.f64 alpha (*.f64 beta (+.f64 3 alpha)))))
(+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 3 alpha) 4))) (+.f64 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 3 alpha) 3)) (/.f64 alpha (*.f64 beta (+.f64 3 alpha))))))
(/.f64 alpha (pow.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 3 alpha) alpha) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 (*.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 3 alpha) alpha) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 3 alpha) alpha) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 alpha (pow.f64 (+.f64 3 alpha) 3)) (pow.f64 beta 5))) (/.f64 (*.f64 (pow.f64 (+.f64 3 alpha) 2) alpha) (pow.f64 beta 4)))))
(/.f64 alpha (pow.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 3 alpha) alpha) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2)))
(+.f64 (/.f64 (*.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 3 alpha) alpha) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 3 alpha) alpha) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 3 alpha) 3) alpha) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 (*.f64 (pow.f64 (+.f64 3 alpha) 2) alpha) (pow.f64 beta 4)))))
(+.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3)))) (*.f64 (/.f64 (/.f64 alpha beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (fma.f64 (+.f64 (neg.f64 beta) -3) 1 (+.f64 beta 3))))
(+.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3)))) (*.f64 (/.f64 (/.f64 alpha beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 3))))
(+.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3)))) (*.f64 (/.f64 (/.f64 alpha beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) (+.f64 beta 3))))
(+.f64 (*.f64 (/.f64 (/.f64 alpha beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) alpha) (*.f64 (/.f64 (/.f64 alpha beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (+.f64 (neg.f64 beta) -3)))
(+.f64 (*.f64 (/.f64 alpha (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta)) (*.f64 alpha alpha)) (*.f64 (/.f64 alpha (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta)) (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(+.f64 (*.f64 (/.f64 alpha (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta)) (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))) (*.f64 (/.f64 alpha (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta)) (*.f64 alpha alpha)))
(+.f64 (*.f64 alpha (/.f64 (/.f64 alpha beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (*.f64 (+.f64 (neg.f64 beta) -3) (/.f64 (/.f64 alpha beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))))
(+.f64 (*.f64 (-.f64 (-.f64 alpha 3) beta) (/.f64 (/.f64 alpha beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (*.f64 (fma.f64 (+.f64 (neg.f64 beta) -3) 1 (+.f64 beta 3)) (/.f64 (/.f64 alpha beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))))
(+.f64 (*.f64 (-.f64 (-.f64 alpha 3) beta) (/.f64 (/.f64 alpha beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 3)) (/.f64 (/.f64 alpha beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))))
(+.f64 (*.f64 (-.f64 (-.f64 alpha 3) beta) (/.f64 (/.f64 alpha beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) (+.f64 beta 3)) (/.f64 (/.f64 alpha beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))))
(+.f64 (*.f64 (*.f64 alpha alpha) (/.f64 alpha (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta))) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))) (/.f64 alpha (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta))))
(+.f64 (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))) (/.f64 alpha (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta))) (*.f64 (*.f64 alpha alpha) (/.f64 alpha (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3)))))) 1)
(*.f64 alpha (*.f64 (/.f64 1 beta) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 alpha (/.f64 1 (*.f64 beta (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 alpha beta) (/.f64 1 (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 alpha beta) (/.f64 (-.f64 (-.f64 alpha 3) beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))
(*.f64 (/.f64 alpha beta) (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))))
(*.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3)))) 1)
(*.f64 1 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (sqrt.f64 (/.f64 alpha beta)) (*.f64 (sqrt.f64 (/.f64 alpha beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (sqrt.f64 (/.f64 alpha beta)) (/.f64 (sqrt.f64 (/.f64 alpha beta)) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (sqrt.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))) (sqrt.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha beta)) 2) (*.f64 (cbrt.f64 (/.f64 alpha beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (cbrt.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))) (pow.f64 (cbrt.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))) 2) (cbrt.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (/.f64 alpha beta))
(*.f64 (neg.f64 (/.f64 alpha beta)) (/.f64 1 (-.f64 -3 (+.f64 alpha beta))))
(*.f64 (/.f64 alpha 1) (/.f64 1 (*.f64 beta (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 alpha beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (/.f64 alpha beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 3))) (/.f64 1 beta))
(*.f64 (/.f64 1 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (*.f64 (/.f64 alpha beta) (-.f64 (-.f64 alpha 3) beta)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (*.f64 (/.f64 alpha beta) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(*.f64 (/.f64 (/.f64 alpha beta) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 (-.f64 alpha 3) beta))
(*.f64 (/.f64 alpha (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) beta)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(*.f64 (/.f64 1 (*.f64 beta (+.f64 beta (+.f64 alpha 3)))) alpha)
(*.f64 (/.f64 1 (-.f64 -3 (+.f64 alpha beta))) (neg.f64 (/.f64 alpha beta)))
(*.f64 (/.f64 (sqrt.f64 alpha) (+.f64 beta (+.f64 alpha 3))) (/.f64 (sqrt.f64 alpha) beta))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (+.f64 beta (+.f64 alpha 3))) (/.f64 (cbrt.f64 alpha) beta))
(*.f64 (/.f64 alpha (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 1 (*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 3))) beta)))
(*.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) beta)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 alpha beta)) (+.f64 beta (+.f64 alpha 3))) (sqrt.f64 (/.f64 alpha beta)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 alpha beta)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (sqrt.f64 (/.f64 alpha beta)) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 alpha beta)) 2) 1) (/.f64 (cbrt.f64 (/.f64 alpha beta)) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 alpha beta)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (cbrt.f64 (/.f64 alpha beta)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 alpha beta)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (cbrt.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))))
(*.f64 (/.f64 (/.f64 alpha beta) (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (neg.f64 (-.f64 (-.f64 alpha 3) beta)))
(*.f64 (/.f64 (/.f64 alpha beta) (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(*.f64 (/.f64 (/.f64 alpha beta) (-.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha alpha))) (+.f64 beta (-.f64 3 alpha)))
(*.f64 (/.f64 (/.f64 alpha beta) (-.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 9)) (+.f64 alpha (+.f64 beta -3)))
(*.f64 (/.f64 (/.f64 alpha beta) (+.f64 27 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (-.f64 9 (*.f64 (+.f64 alpha beta) 3))))
(*.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 3)) alpha)) (/.f64 1 beta))
(*.f64 (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (cbrt.f64 (/.f64 alpha beta)) 2))) (cbrt.f64 (/.f64 alpha beta)))
(*.f64 (/.f64 (sqrt.f64 alpha) (*.f64 beta (+.f64 beta (+.f64 alpha 3)))) (sqrt.f64 alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 alpha beta)) 2) (+.f64 beta (+.f64 alpha 3))) (cbrt.f64 (/.f64 alpha beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 alpha) 2) (*.f64 beta (+.f64 beta (+.f64 alpha 3)))) (cbrt.f64 alpha))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) beta) alpha)
(*.f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) 1) (/.f64 alpha beta))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (sqrt.f64 beta)) (/.f64 alpha (sqrt.f64 beta)))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 alpha (cbrt.f64 beta)))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (neg.f64 beta)) (neg.f64 alpha))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (/.f64 beta 1)) alpha)
(*.f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (/.f64 beta (sqrt.f64 alpha))) (sqrt.f64 alpha))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (/.f64 beta (pow.f64 (cbrt.f64 alpha) 2))) (cbrt.f64 alpha))
(*.f64 (/.f64 (neg.f64 (/.f64 alpha beta)) (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (-.f64 (-.f64 alpha 3) beta))
(*.f64 (/.f64 (neg.f64 (/.f64 alpha beta)) (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(*.f64 (/.f64 (/.f64 (/.f64 alpha beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(*.f64 (/.f64 (/.f64 (/.f64 alpha beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (sqrt.f64 (-.f64 (-.f64 alpha 3) beta)))
(*.f64 (/.f64 (/.f64 (/.f64 alpha beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(*.f64 (/.f64 (/.f64 (/.f64 alpha beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (cbrt.f64 (-.f64 (-.f64 alpha 3) beta)))
(pow.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3)))) 1)
(pow.f64 (sqrt.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))) 2)
(pow.f64 (cbrt.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))) 3)
(pow.f64 (pow.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3)))) 3) 1/3)
(pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 beta alpha)) -1)
(neg.f64 (/.f64 alpha (*.f64 (-.f64 -3 (+.f64 alpha beta)) beta)))
(sqrt.f64 (pow.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3)))) 2))
(log.f64 (exp.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3)))))))
(cbrt.f64 (pow.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 alpha beta) 3) (pow.f64 (+.f64 beta (+.f64 alpha 3)) 3)))
(expm1.f64 (log1p.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))))
(exp.f64 (log.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))) 1))
(log1p.f64 (expm1.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))))
Outputs
(/.f64 alpha (*.f64 beta (+.f64 beta 3)))
(/.f64 (/.f64 alpha beta) (+.f64 beta 3))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) (/.f64 alpha (*.f64 beta (+.f64 beta 3))))
(fma.f64 -1 (/.f64 (/.f64 (*.f64 alpha alpha) beta) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (/.f64 alpha beta) (+.f64 beta 3)))
(-.f64 (/.f64 alpha (*.f64 beta (+.f64 beta 3))) (/.f64 alpha (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)) alpha)))
(-.f64 (/.f64 (/.f64 alpha beta) (+.f64 beta 3)) (/.f64 (*.f64 alpha (/.f64 alpha beta)) (pow.f64 (+.f64 beta 3) 2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) (+.f64 (/.f64 (pow.f64 alpha 3) (*.f64 beta (pow.f64 (+.f64 beta 3) 3))) (/.f64 alpha (*.f64 beta (+.f64 beta 3)))))
(fma.f64 -1 (/.f64 (/.f64 (*.f64 alpha alpha) beta) (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 (/.f64 alpha beta) (+.f64 beta 3)) (/.f64 (/.f64 (pow.f64 alpha 3) beta) (pow.f64 (+.f64 beta 3) 3))))
(-.f64 (+.f64 (/.f64 alpha (*.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 3) (*.f64 beta (pow.f64 (+.f64 beta 3) 3)))) (/.f64 alpha (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)) alpha)))
(+.f64 (/.f64 (/.f64 alpha beta) (+.f64 beta 3)) (*.f64 (*.f64 alpha (/.f64 alpha beta)) (+.f64 (/.f64 -1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 alpha (pow.f64 (+.f64 beta 3) 3)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 alpha 2) (*.f64 beta (pow.f64 (+.f64 beta 3) 2)))) (+.f64 (/.f64 (pow.f64 alpha 3) (*.f64 beta (pow.f64 (+.f64 beta 3) 3))) (+.f64 (/.f64 alpha (*.f64 beta (+.f64 beta 3))) (*.f64 -1 (/.f64 (pow.f64 alpha 4) (*.f64 beta (pow.f64 (+.f64 beta 3) 4)))))))
(fma.f64 -1 (/.f64 (/.f64 (*.f64 alpha alpha) beta) (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 (/.f64 (pow.f64 alpha 3) beta) (pow.f64 (+.f64 beta 3) 3)) (+.f64 (/.f64 (/.f64 alpha beta) (+.f64 beta 3)) (neg.f64 (/.f64 (/.f64 (pow.f64 alpha 4) beta) (pow.f64 (+.f64 beta 3) 4))))))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 3) (*.f64 beta (pow.f64 (+.f64 beta 3) 3))) (-.f64 (/.f64 alpha (*.f64 beta (+.f64 beta 3))) (/.f64 (pow.f64 alpha 4) (*.f64 beta (pow.f64 (+.f64 beta 3) 4))))) (/.f64 alpha (/.f64 (*.f64 beta (pow.f64 (+.f64 beta 3) 2)) alpha)))
(+.f64 (-.f64 (/.f64 (/.f64 alpha beta) (+.f64 beta 3)) (/.f64 (/.f64 (pow.f64 alpha 4) beta) (pow.f64 (+.f64 beta 3) 4))) (*.f64 (*.f64 alpha (/.f64 alpha beta)) (+.f64 (/.f64 -1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 alpha (pow.f64 (+.f64 beta 3) 3)))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 (*.f64 3 (/.f64 1 beta)) 1) alpha)))
(+.f64 (/.f64 1 beta) (neg.f64 (/.f64 (+.f64 1 (/.f64 3 beta)) alpha)))
(-.f64 (/.f64 1 beta) (/.f64 (+.f64 1 (/.f64 3 beta)) alpha))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 3 (/.f64 1 beta)) 1) (+.f64 beta 3)) (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 3 (/.f64 1 beta)) 1) alpha))))
(+.f64 (/.f64 1 beta) (+.f64 (neg.f64 (/.f64 (+.f64 1 (/.f64 3 beta)) alpha)) (/.f64 (+.f64 beta 3) (/.f64 (*.f64 alpha alpha) (+.f64 1 (/.f64 3 beta))))))
(+.f64 (/.f64 1 beta) (-.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 3 beta)) alpha) (/.f64 (+.f64 beta 3) alpha)) (/.f64 (+.f64 1 (/.f64 3 beta)) alpha)))
(+.f64 (/.f64 1 beta) (*.f64 (/.f64 (+.f64 1 (/.f64 3 beta)) alpha) (+.f64 -1 (/.f64 (+.f64 beta 3) alpha))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 (*.f64 3 (/.f64 1 beta)) 1)) (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 3 (/.f64 1 beta)) 1) alpha)) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 3 (/.f64 1 beta)) 1) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 3))))))
(+.f64 (+.f64 (/.f64 1 beta) (/.f64 (+.f64 beta 3) (/.f64 (*.f64 alpha alpha) (+.f64 1 (/.f64 3 beta))))) (*.f64 -1 (+.f64 (/.f64 (+.f64 1 (/.f64 3 beta)) alpha) (/.f64 (+.f64 1 (/.f64 3 beta)) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 2))))))
(+.f64 (/.f64 1 beta) (-.f64 (-.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 3 beta)) alpha) (/.f64 (+.f64 beta 3) alpha)) (/.f64 (+.f64 1 (/.f64 3 beta)) alpha)) (*.f64 (/.f64 (+.f64 1 (/.f64 3 beta)) (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 3) 2))))
(+.f64 (/.f64 1 beta) (-.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 3 beta)) alpha) (+.f64 -1 (/.f64 (+.f64 beta 3) alpha))) (*.f64 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3)) (+.f64 1 (/.f64 3 beta)))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 beta 3) (*.f64 beta alpha))))
(+.f64 (/.f64 1 beta) (neg.f64 (/.f64 (+.f64 beta 3) (*.f64 alpha beta))))
(+.f64 (/.f64 1 beta) (/.f64 (-.f64 -3 beta) (*.f64 alpha beta)))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 beta (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (+.f64 beta 3) (*.f64 beta alpha)))))
(+.f64 (/.f64 1 beta) (+.f64 (neg.f64 (/.f64 (+.f64 beta 3) (*.f64 alpha beta))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 beta (*.f64 alpha alpha)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 (-.f64 -3 beta) (*.f64 alpha beta)) (/.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha (*.f64 alpha beta)))))
(+.f64 (/.f64 1 beta) (*.f64 (/.f64 (+.f64 beta 3) beta) (+.f64 (/.f64 -1 alpha) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) (*.f64 beta alpha))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 beta (pow.f64 alpha 3)))))))
(+.f64 (+.f64 (/.f64 1 beta) (/.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 beta (*.f64 alpha alpha)))) (*.f64 -1 (+.f64 (/.f64 (+.f64 beta 3) (*.f64 alpha beta)) (/.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 beta (pow.f64 alpha 3))))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha (*.f64 alpha beta))) (-.f64 (/.f64 (-.f64 -3 beta) (*.f64 alpha beta)) (/.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 beta (pow.f64 alpha 3))))))
(-.f64 (*.f64 (/.f64 (+.f64 beta 3) beta) (+.f64 (/.f64 -1 alpha) (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)))) (-.f64 (/.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 beta (pow.f64 alpha 3))) (/.f64 1 beta)))
(/.f64 alpha (*.f64 beta (+.f64 3 alpha)))
(/.f64 (/.f64 alpha beta) (+.f64 alpha 3))
(/.f64 alpha (*.f64 beta (+.f64 alpha 3)))
(+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2))) (/.f64 alpha (*.f64 beta (+.f64 3 alpha))))
(fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 3) 2)) (/.f64 (/.f64 alpha beta) (+.f64 alpha 3)))
(-.f64 (/.f64 alpha (*.f64 beta (+.f64 alpha 3))) (/.f64 alpha (pow.f64 (+.f64 alpha 3) 2)))
(-.f64 (/.f64 (/.f64 alpha beta) (+.f64 alpha 3)) (/.f64 alpha (pow.f64 (+.f64 alpha 3) 2)))
(+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 3 alpha) 3)) (/.f64 alpha (*.f64 beta (+.f64 3 alpha)))))
(fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 3) 2)) (+.f64 (/.f64 (/.f64 alpha beta) (+.f64 alpha 3)) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 3) 3))))
(+.f64 (-.f64 (/.f64 alpha (*.f64 beta (+.f64 alpha 3))) (/.f64 alpha (pow.f64 (+.f64 alpha 3) 2))) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 3) 3)))
(+.f64 (/.f64 (/.f64 alpha beta) (+.f64 alpha 3)) (*.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 3) 2)) (+.f64 -1 (/.f64 beta (+.f64 alpha 3)))))
(+.f64 (*.f64 -1 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 beta 2) alpha) (pow.f64 (+.f64 3 alpha) 4))) (+.f64 (/.f64 (*.f64 beta alpha) (pow.f64 (+.f64 3 alpha) 3)) (/.f64 alpha (*.f64 beta (+.f64 3 alpha))))))
(fma.f64 -1 (/.f64 alpha (pow.f64 (+.f64 alpha 3) 2)) (fma.f64 -1 (/.f64 (*.f64 alpha (*.f64 beta beta)) (pow.f64 (+.f64 alpha 3) 4)) (+.f64 (/.f64 (/.f64 alpha beta) (+.f64 alpha 3)) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 3) 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 alpha (*.f64 beta (+.f64 alpha 3))) (/.f64 (*.f64 alpha beta) (pow.f64 (+.f64 alpha 3) 3))) (*.f64 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 4)) alpha)) (/.f64 alpha (pow.f64 (+.f64 alpha 3) 2)))
(-.f64 (+.f64 (/.f64 (/.f64 alpha beta) (+.f64 alpha 3)) (*.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 3) 2)) (+.f64 -1 (/.f64 beta (+.f64 alpha 3))))) (*.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 3) 4)) (*.f64 beta beta)))
(/.f64 alpha (pow.f64 beta 2))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 alpha beta) beta)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 3 alpha) alpha) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2)))
(fma.f64 -1 (/.f64 (*.f64 alpha (+.f64 alpha 3)) (pow.f64 beta 3)) (/.f64 alpha (*.f64 beta beta)))
(-.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (*.f64 alpha (+.f64 alpha 3)) (pow.f64 beta 3)))
(+.f64 (/.f64 (/.f64 alpha beta) beta) (*.f64 (/.f64 (-.f64 -3 alpha) (pow.f64 beta 3)) alpha))
(+.f64 (/.f64 (*.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 3 alpha) alpha) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 alpha (+.f64 alpha 3)) (pow.f64 beta 3)) (/.f64 alpha (*.f64 beta beta))) (/.f64 (pow.f64 (+.f64 alpha 3) 2) (/.f64 (pow.f64 beta 4) alpha)))
(+.f64 (/.f64 alpha (*.f64 beta beta)) (-.f64 (*.f64 (/.f64 alpha (pow.f64 beta 4)) (pow.f64 (+.f64 alpha 3) 2)) (/.f64 (*.f64 alpha (+.f64 alpha 3)) (pow.f64 beta 3))))
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(*.f64 (/.f64 alpha (*.f64 (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (hypot.f64 (pow.f64 alpha 3/2) (pow.f64 (+.f64 beta 3) 3/2))) beta)) (sqrt.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)) (*.f64 alpha alpha))))
(*.f64 (/.f64 (/.f64 (/.f64 alpha beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (sqrt.f64 (-.f64 (-.f64 alpha 3) beta)))
(*.f64 (/.f64 (/.f64 alpha (*.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (sqrt.f64 (-.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (/.f64 alpha (*.f64 beta (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (sqrt.f64 (-.f64 (+.f64 alpha -3) beta)))
(*.f64 (/.f64 (/.f64 alpha beta) (*.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 3))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))) (sqrt.f64 (+.f64 alpha (-.f64 -3 beta))))
(*.f64 (/.f64 (/.f64 (/.f64 alpha beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(*.f64 (/.f64 (/.f64 alpha beta) (*.f64 (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(*.f64 (/.f64 alpha (*.f64 (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (*.f64 beta (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(*.f64 (/.f64 alpha (*.f64 (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (*.f64 beta (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)))) (cbrt.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)) (*.f64 alpha alpha))))
(*.f64 (/.f64 (/.f64 (/.f64 alpha beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (cbrt.f64 (-.f64 (-.f64 alpha 3) beta)))
(*.f64 (/.f64 (/.f64 (/.f64 alpha beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (cbrt.f64 (-.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (/.f64 (/.f64 alpha beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (cbrt.f64 (-.f64 (+.f64 alpha -3) beta)))
(*.f64 (/.f64 (/.f64 alpha beta) (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))) (cbrt.f64 (+.f64 alpha (-.f64 -3 beta))))
(pow.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3)))) 1)
(/.f64 (/.f64 alpha beta) (+.f64 beta (+.f64 alpha 3)))
(/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(pow.f64 (sqrt.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))) 2)
(/.f64 (/.f64 alpha beta) (+.f64 beta (+.f64 alpha 3)))
(/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(pow.f64 (cbrt.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))) 3)
(/.f64 (/.f64 alpha beta) (+.f64 beta (+.f64 alpha 3)))
(/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(pow.f64 (pow.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3)))) 3) 1/3)
(/.f64 (/.f64 alpha beta) (+.f64 beta (+.f64 alpha 3)))
(/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 beta alpha)) -1)
(/.f64 (/.f64 alpha beta) (+.f64 beta (+.f64 alpha 3)))
(/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(neg.f64 (/.f64 alpha (*.f64 (-.f64 -3 (+.f64 alpha beta)) beta)))
(*.f64 (/.f64 (neg.f64 alpha) beta) (/.f64 1 (-.f64 -3 (+.f64 alpha beta))))
(/.f64 (neg.f64 (/.f64 alpha beta)) (-.f64 -3 (+.f64 alpha beta)))
(/.f64 (/.f64 (neg.f64 alpha) beta) (-.f64 -3 (+.f64 alpha beta)))
(sqrt.f64 (pow.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3)))) 2))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 alpha beta) (+.f64 beta (+.f64 alpha 3))) 2))
(fabs.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3)))))
(fabs.f64 (/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3))))
(log.f64 (exp.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))))
(/.f64 (/.f64 alpha beta) (+.f64 beta (+.f64 alpha 3)))
(/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3)))))))
(/.f64 (/.f64 alpha beta) (+.f64 beta (+.f64 alpha 3)))
(/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(cbrt.f64 (pow.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3)))) 3))
(/.f64 (/.f64 alpha beta) (+.f64 beta (+.f64 alpha 3)))
(/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 alpha beta) 3) (pow.f64 (+.f64 beta (+.f64 alpha 3)) 3)))
(/.f64 (/.f64 alpha beta) (+.f64 beta (+.f64 alpha 3)))
(/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(expm1.f64 (log1p.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))))
(/.f64 (/.f64 alpha beta) (+.f64 beta (+.f64 alpha 3)))
(/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(exp.f64 (log.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))))
(/.f64 (/.f64 alpha beta) (+.f64 beta (+.f64 alpha 3)))
(/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))) 1))
(/.f64 (/.f64 alpha beta) (+.f64 beta (+.f64 alpha 3)))
(/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(log1p.f64 (expm1.f64 (/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))))
(/.f64 (/.f64 alpha beta) (+.f64 beta (+.f64 alpha 3)))
(/.f64 alpha (*.f64 beta (+.f64 beta (+.f64 alpha 3))))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.01%
(*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))
1.84%
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
Compiler

Compiled 52 to 30 computations (42.3% saved)

series5.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite79.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01443
133643
2515543
Stop Event
node limit
Counts
1 → 42
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) (+.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 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 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))))) (#(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 3)) (+.f64 alpha (+.f64 beta 2)))))))) (#(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 2))))))) (#(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)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))))))) (#(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 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 alpha (+.f64 beta 3))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 alpha (+.f64 beta 2))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2)))) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 alpha))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (neg.f64 (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 2)))))))))

simplify97.0ms (0.5%)

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

Useful iterations: 2 (0.0ms)

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

eval877.0ms (4.7%)

Compiler

Compiled 28774 to 20547 computations (28.6% saved)

prune330.0ms (1.8%)

Pruning

26 alts after pruning (20 fresh and 6 done)

PrunedKeptTotal
New9419950
Fresh41115
Picked011
Done459
Total94926975
Error
0%
Counts
975 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
54.39%
(pow.f64 beta -2)
25.53%
(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 alpha (*.f64 beta alpha)) (/.f64 (*.f64 beta beta) (+.f64 beta -1))) (/.f64 1 (+.f64 beta -1))) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
39.63%
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
23.25%
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
5.43%
(/.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))))
52.84%
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
68.34%
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
69.08%
(/.f64 (/.f64 alpha beta) beta)
46.37%
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
45.17%
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
53.5%
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
54.45%
(/.f64 (/.f64 1 beta) beta)
12.97%
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
48.06%
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3)))
42.67%
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
42.68%
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
50.78%
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
70.67%
(/.f64 alpha (*.f64 beta beta))
53.8%
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
54.75%
(/.f64 1 (*.f64 beta beta))
94.27%
(/.f64 1/2 beta)
97.48%
(/.f64 1/2 alpha)
49.73%
(/.f64 1/6 (+.f64 2 alpha))
49.05%
(*.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 alpha 2) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
49.71%
(*.f64 (+.f64 1/6 (*.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
48.36%
(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
Compiler

Compiled 628 to 456 computations (27.4% saved)

localize24.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.01%
(*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))
0.09%
(*.f64 (+.f64 beta 3) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta))))
7.88%
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
Compiler

Compiled 64 to 39 computations (39.1% saved)

series36.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
30.0ms
beta
@-inf
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
1.0ms
alpha
@-inf
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
0.0ms
alpha
@0
(*.f64 (+.f64 beta 3) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta))))
0.0ms
beta
@0
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
0.0ms
alpha
@inf
(*.f64 (+.f64 beta 3) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta))))

rewrite100.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1250×associate-/l/
396×add-sqr-sqrt
386×+-commutative
382×pow1
382×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016111
1382111
25566111
Stop Event
node limit
Counts
3 → 124
Calls
Call 1
Inputs
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
(*.f64 (+.f64 beta 3) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta))))
(*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2))) (neg.f64 (/.f64 beta (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 beta (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)))) (/.f64 -1 (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2))) (/.f64 beta (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 beta) (/.f64 1 (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 -1 beta)) (*.f64 (sqrt.f64 (-.f64 -1 beta)) (/.f64 1 (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)))) (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)))))))) (#(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 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)) (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2))) (-.f64 -1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 -1 (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha)))) (/.f64 (-.f64 -1 beta) (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)))) (/.f64 (-.f64 -1 beta) (sqrt.f64 (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2))) 2)) (/.f64 (-.f64 -1 beta) (cbrt.f64 (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 -1 beta)) (+.f64 beta 3)) (/.f64 (sqrt.f64 (-.f64 -1 beta)) (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 -1 beta)) (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha)))) (/.f64 (sqrt.f64 (-.f64 -1 beta)) (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 -1 beta)) 1) (/.f64 (sqrt.f64 (-.f64 -1 beta)) (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 -1 beta)) (pow.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 (-.f64 -1 beta)) (cbrt.f64 (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 -1 beta)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.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 beta 3)) (/.f64 (cbrt.f64 (-.f64 -1 beta)) (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha)))) (/.f64 (cbrt.f64 (-.f64 -1 beta)) (+.f64 beta 3)))))) (#(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 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (sqrt.f64 (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)))) (/.f64 (cbrt.f64 (-.f64 -1 beta)) (sqrt.f64 (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (pow.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 beta)) 2) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (cbrt.f64 (-.f64 -1 beta)) (-.f64 -2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 3) (-.f64 -1 beta))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha))) (neg.f64 (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 -1 beta) 3) (pow.f64 (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)))))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 beta 2) -2) (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) alpha)) (*.f64 (+.f64 beta 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 -2 (+.f64 beta alpha)) beta) (*.f64 (-.f64 -2 (+.f64 beta alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 -2 (+.f64 beta alpha)) 2) (*.f64 (-.f64 -2 (+.f64 beta alpha)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta (-.f64 -2 (+.f64 beta alpha))) (*.f64 2 (-.f64 -2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (-.f64 -2 (+.f64 beta alpha))) (*.f64 beta (-.f64 -2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 beta 2) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (+.f64 -2 (+.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 beta 2) (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 -2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 4 (*.f64 beta beta))) (-.f64 2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 beta beta)) (-.f64 -2 (+.f64 beta 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(-.f64 -2 (+.f64 beta alpha)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 -2 (+.f64 beta alpha)) 3) (pow.f64 (+.f64 beta 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha)))))))))

simplify154.0ms (0.8%)

Algorithm
egg-herbie
Rules
908×associate-/r*
898×distribute-lft-in
830×distribute-rgt-in
720×fma-def
700×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052911914
1178611186
Stop Event
node limit
Counts
196 → 293
Calls
Call 1
Inputs
(/.f64 1/6 (+.f64 2 alpha))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 beta (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 7 alpha)) (+.f64 2 alpha))) (+.f64 (*.f64 1/36 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 beta (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (pow.f64 beta 4)))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 6 (+.f64 2 alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (+.f64 7 alpha))))) (pow.f64 beta 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (pow.f64 beta 4))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (-.f64 2 (*.f64 -1 (+.f64 4 alpha))) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 2 (*.f64 -1 (+.f64 4 alpha))) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 2 (*.f64 -1 (+.f64 4 alpha))) (-.f64 (*.f64 -1 (+.f64 4 alpha)) 3)) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (pow.f64 beta 4)))))
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(*.f64 -1 (pow.f64 beta 3))
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(*.f64 -1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) alpha)))
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(pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2))) 3) 1/3)
(pow.f64 (*.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 3) (-.f64 -1 beta))) -1)
(neg.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha))) (neg.f64 (+.f64 beta 3)))))
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(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 -1 beta) 3) (pow.f64 (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)))))
(exp.f64 (log.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)))))
(+.f64 (*.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha))) beta) (*.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha))) 3))
(+.f64 (*.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha))) 3) (*.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha))) beta))
(+.f64 (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -2) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (-.f64 (neg.f64 beta) alpha)))
(+.f64 (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (-.f64 (neg.f64 beta) alpha)) (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) -2))
(+.f64 (*.f64 beta (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha)))) (*.f64 3 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha)))))
(+.f64 (*.f64 3 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha)))) (*.f64 beta (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha)))))
(+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 (-.f64 (neg.f64 beta) alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(+.f64 (*.f64 (-.f64 (neg.f64 beta) alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)))) 1)
(/.f64 (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)) 1)
(/.f64 (*.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha))) (fma.f64 beta beta -9)) (+.f64 beta -3))
(/.f64 (*.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha))) (+.f64 27 (pow.f64 beta 3))) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(/.f64 (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (+.f64 -2 (+.f64 beta alpha)))
(/.f64 (*.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 -2 (+.f64 beta alpha)))))
(/.f64 (*.f64 (fma.f64 beta beta -9) (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha)))) (+.f64 beta -3))
(/.f64 (*.f64 (+.f64 27 (pow.f64 beta 3)) (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha)))) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(pow.f64 (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)) 1)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 beta 2)) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha))) 3) (pow.f64 (+.f64 beta 3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2))))
(exp.f64 (log.f64 (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 beta 3) (-.f64 -2 (+.f64 beta alpha))) (+.f64 beta 2))))
(+.f64 (*.f64 (+.f64 beta 2) -2) (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) alpha)))
(+.f64 (*.f64 (+.f64 beta 2) (-.f64 (neg.f64 beta) alpha)) (*.f64 (+.f64 beta 2) -2))
(+.f64 (*.f64 (-.f64 -2 (+.f64 beta alpha)) beta) (*.f64 (-.f64 -2 (+.f64 beta alpha)) 2))
(+.f64 (*.f64 (-.f64 -2 (+.f64 beta alpha)) 2) (*.f64 (-.f64 -2 (+.f64 beta alpha)) beta))
(+.f64 (*.f64 -2 (+.f64 beta 2)) (*.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 beta 2)))
(+.f64 (*.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 beta 2)) (*.f64 -2 (+.f64 beta 2)))
(+.f64 (*.f64 beta (-.f64 -2 (+.f64 beta alpha))) (*.f64 2 (-.f64 -2 (+.f64 beta alpha))))
(+.f64 (*.f64 2 (-.f64 -2 (+.f64 beta alpha))) (*.f64 beta (-.f64 -2 (+.f64 beta alpha))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha))))) 1)
(/.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha))) 1)
(/.f64 (*.f64 (+.f64 beta 2) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (+.f64 -2 (+.f64 beta alpha)))
(/.f64 (*.f64 (+.f64 beta 2) (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 -2 (+.f64 beta alpha)))))
(/.f64 (*.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 4 (*.f64 beta beta))) (-.f64 2 beta))
(/.f64 (*.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (*.f64 (-.f64 4 (*.f64 beta beta)) (-.f64 -2 (+.f64 beta alpha))) (-.f64 2 beta))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (-.f64 -2 (+.f64 beta alpha))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (*.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (+.f64 beta 2)) (+.f64 -2 (+.f64 beta alpha)))
(/.f64 (*.f64 (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 beta 2)) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 -2 (+.f64 beta alpha)))))
(/.f64 (*.f64 (-.f64 4 (*.f64 beta beta)) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (*.f64 (-.f64 2 beta) (+.f64 -2 (+.f64 beta alpha))))
(/.f64 (*.f64 (-.f64 4 (*.f64 beta beta)) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (*.f64 1 (*.f64 (-.f64 2 beta) (+.f64 -2 (+.f64 beta alpha)))))
(/.f64 (*.f64 (-.f64 4 (*.f64 beta beta)) (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3))) (*.f64 (-.f64 2 beta) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 -2 (+.f64 beta alpha))))))
(/.f64 (*.f64 (-.f64 4 (*.f64 beta beta)) (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3))) (*.f64 1 (*.f64 (-.f64 2 beta) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 -2 (+.f64 beta alpha)))))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (+.f64 -2 (+.f64 beta alpha))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (*.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (+.f64 -2 (+.f64 beta alpha)))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3))) (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 -2 (+.f64 beta alpha))))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3))) (*.f64 1 (*.f64 (+.f64 4 (*.f64 beta (+.f64 beta -2))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 -2 (+.f64 beta alpha)))))))
(/.f64 (*.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (-.f64 4 (*.f64 beta beta))) (*.f64 (+.f64 -2 (+.f64 beta alpha)) (-.f64 2 beta)))
(/.f64 (*.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (-.f64 4 (*.f64 beta beta))) (*.f64 1 (*.f64 (+.f64 -2 (+.f64 beta alpha)) (-.f64 2 beta))))
(/.f64 (*.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (+.f64 -2 (+.f64 beta alpha)) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(/.f64 (*.f64 (-.f64 4 (pow.f64 (+.f64 beta alpha) 2)) (+.f64 8 (pow.f64 beta 3))) (*.f64 1 (*.f64 (+.f64 -2 (+.f64 beta alpha)) (+.f64 4 (*.f64 beta (+.f64 beta -2))))))
(/.f64 (*.f64 (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3)) (-.f64 4 (*.f64 beta beta))) (*.f64 (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 -2 (+.f64 beta alpha)))) (-.f64 2 beta)))
(/.f64 (*.f64 (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3)) (-.f64 4 (*.f64 beta beta))) (*.f64 1 (*.f64 (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 -2 (+.f64 beta alpha)))) (-.f64 2 beta))))
(/.f64 (*.f64 (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 -2 (+.f64 beta alpha)))) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(/.f64 (*.f64 (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 1 (*.f64 (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 -2 (+.f64 beta alpha)))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))))
(pow.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha))) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha)))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 2)) (-.f64 -2 (+.f64 beta alpha))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (-.f64 -2 (+.f64 beta alpha)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 -2 (+.f64 beta alpha)) 3) (pow.f64 (+.f64 beta 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha)))))
(exp.f64 (log.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha)))))
Outputs
(/.f64 1/6 (+.f64 2 alpha))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))
(fma.f64 beta (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha)))
(fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 (/.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 alpha 3))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (/.f64 1/6 (+.f64 2 alpha)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 beta (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))))
(fma.f64 -1 (*.f64 (*.f64 beta beta) (fma.f64 1/6 (/.f64 (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 2 alpha))))) (*.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2))))) (fma.f64 beta (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha))))
(-.f64 (fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 (/.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 alpha 3))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (/.f64 1/6 (+.f64 2 alpha))) (*.f64 beta (*.f64 beta (fma.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1/6 (/.f64 (+.f64 2 alpha) (*.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 alpha 3))) (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 (/.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 alpha 3))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)))))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 7 alpha)) (+.f64 2 alpha))) (+.f64 (*.f64 1/36 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1/6 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 7 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 beta (-.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/36 (/.f64 (+.f64 (*.f64 3 (+.f64 4 alpha)) (*.f64 2 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))))
(fma.f64 -1 (*.f64 (pow.f64 beta 3) (fma.f64 1/6 (/.f64 (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (+.f64 alpha 7))) (+.f64 (/.f64 1/36 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/6 (/.f64 (fma.f64 1/6 (/.f64 (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 2 alpha))))) (*.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 2 alpha))))))))) (fma.f64 -1 (*.f64 (*.f64 beta beta) (fma.f64 1/6 (/.f64 (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 (+.f64 2 alpha) (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 2 alpha))))) (*.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2))))) (fma.f64 beta (-.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 1/36 (/.f64 (fma.f64 3 (+.f64 alpha 4) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/6 (+.f64 2 alpha)))))
(-.f64 (-.f64 (fma.f64 beta (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 (/.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 alpha 3))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (/.f64 1/6 (+.f64 2 alpha))) (*.f64 beta (*.f64 beta (fma.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1/6 (/.f64 (+.f64 2 alpha) (*.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 alpha 3))) (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 (/.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 alpha 3))) (pow.f64 (+.f64 2 alpha) 2)) -1/36))))))))) (*.f64 (pow.f64 beta 3) (fma.f64 1/6 (*.f64 (/.f64 (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 (/.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 alpha 3))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)) (+.f64 2 alpha)) (+.f64 alpha 7)) (fma.f64 -1/6 (*.f64 (/.f64 (fma.f64 1/36 (/.f64 (+.f64 alpha 7) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1/6 (/.f64 (+.f64 2 alpha) (*.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 alpha 3))) (+.f64 (/.f64 1/6 (+.f64 2 alpha)) (*.f64 (/.f64 (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 alpha 3))) (pow.f64 (+.f64 2 alpha) 2)) -1/36)))))) (+.f64 2 alpha)) (fma.f64 2 (+.f64 2 alpha) (+.f64 12 (*.f64 alpha 3)))) (/.f64 1/36 (pow.f64 (+.f64 2 alpha) 2))))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (neg.f64 (/.f64 (+.f64 alpha 6) (pow.f64 beta 3))))
(-.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 (+.f64 alpha 6) (pow.f64 beta 3)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 alpha) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 6 alpha) (+.f64 7 alpha))) (+.f64 (*.f64 3 (+.f64 2 alpha)) (*.f64 2 (+.f64 5 alpha)))) (pow.f64 beta 4)))))
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(*.f64 (/.f64 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 -2 (+.f64 alpha beta))))) (/.f64 (-.f64 4 (*.f64 beta beta)) (-.f64 2 beta)))
(/.f64 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)) (/.f64 (*.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta -2)) 4) (-.f64 2 beta)) (-.f64 4 (*.f64 beta beta))))
(/.f64 (*.f64 (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3)) (-.f64 4 (*.f64 beta beta))) (*.f64 1 (*.f64 (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 -2 (+.f64 beta alpha)))) (-.f64 2 beta))))
(*.f64 (/.f64 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 -2 (+.f64 alpha beta))))) (/.f64 (-.f64 4 (*.f64 beta beta)) (-.f64 2 beta)))
(/.f64 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)) (/.f64 (*.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta -2)) 4) (-.f64 2 beta)) (-.f64 4 (*.f64 beta beta))))
(/.f64 (*.f64 (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 -2 (+.f64 beta alpha)))) (+.f64 4 (*.f64 beta (+.f64 beta -2)))))
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 4 (*.f64 beta (+.f64 beta -2)))) (/.f64 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 -2 (+.f64 alpha beta))))))
(/.f64 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)) (/.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta -2)) 4) (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta (+.f64 beta -2) 4))))
(/.f64 (*.f64 (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 1 (*.f64 (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 -2 (+.f64 beta alpha)))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))))
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) 8) (+.f64 4 (*.f64 beta (+.f64 beta -2)))) (/.f64 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 -2 (+.f64 alpha beta))))))
(/.f64 (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3)) (/.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta -2)) 4) (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta (+.f64 beta -2) 4))))
(pow.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha))) 1)
(*.f64 (+.f64 2 beta) (+.f64 -2 (-.f64 (neg.f64 beta) alpha)))
(*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha)))) 2)
(*.f64 (+.f64 2 beta) (+.f64 -2 (-.f64 (neg.f64 beta) alpha)))
(*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha)))) 3)
(*.f64 (+.f64 2 beta) (+.f64 -2 (-.f64 (neg.f64 beta) alpha)))
(*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha))) 3) 1/3)
(*.f64 (+.f64 2 beta) (+.f64 -2 (-.f64 (neg.f64 beta) alpha)))
(*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha))) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta))) 2))
(fabs.f64 (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta))))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 2)) (-.f64 -2 (+.f64 beta alpha))))
(*.f64 (+.f64 2 beta) (+.f64 -2 (-.f64 (neg.f64 beta) alpha)))
(*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha))))))
(*.f64 (+.f64 2 beta) (+.f64 -2 (-.f64 (neg.f64 beta) alpha)))
(*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha))) 3))
(*.f64 (+.f64 2 beta) (+.f64 -2 (-.f64 (neg.f64 beta) alpha)))
(*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 (-.f64 -2 (+.f64 beta alpha)) 3)))
(*.f64 (+.f64 2 beta) (+.f64 -2 (-.f64 (neg.f64 beta) alpha)))
(*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 -2 (+.f64 beta alpha)) 3) (pow.f64 (+.f64 beta 2) 3)))
(*.f64 (+.f64 2 beta) (+.f64 -2 (-.f64 (neg.f64 beta) alpha)))
(*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha)))))
(*.f64 (+.f64 2 beta) (+.f64 -2 (-.f64 (neg.f64 beta) alpha)))
(*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))
(exp.f64 (log.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha)))))
(*.f64 (+.f64 2 beta) (+.f64 -2 (-.f64 (neg.f64 beta) alpha)))
(*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha)))) 1))
(*.f64 (+.f64 2 beta) (+.f64 -2 (-.f64 (neg.f64 beta) alpha)))
(*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 beta alpha)))))
(*.f64 (+.f64 2 beta) (+.f64 -2 (-.f64 (neg.f64 beta) alpha)))
(*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.15%
(/.f64 (/.f64 1 beta) beta)
Compiler

Compiled 12 to 8 computations (33.3% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite57.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1096×add-sqr-sqrt
1080×*-un-lft-identity
1018×pow1
1008×add-cube-cbrt
998×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0613
11237
215057
Stop Event
node limit
Counts
1 → 31
Calls
Call 1
Inputs
(/.f64 (/.f64 1 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 (/.f64 1 beta) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 beta -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 beta -1/2) (*.f64 (pow.f64 beta -1/2) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 beta -1/2) (/.f64 (/.f64 1 beta) (sqrt.f64 beta)))))) (#(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 (cbrt.f64 (pow.f64 beta -2)) (pow.f64 (cbrt.f64 (pow.f64 beta -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 beta -2)) (*.f64 (/.f64 1 (cbrt.f64 beta)) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 beta -2)) (/.f64 (/.f64 1 beta) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 beta) (/.f64 -1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 beta) (pow.f64 beta -1/2)) (pow.f64 beta -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 beta) (cbrt.f64 (pow.f64 beta -2))) (/.f64 1 (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 beta -1/2) 1) (/.f64 (pow.f64 beta -1/2) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 beta -1/2) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (pow.f64 beta -1/2) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 beta -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 beta)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 beta -2)) (sqrt.f64 beta)) (/.f64 (/.f64 1 (cbrt.f64 beta)) (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 beta -2)) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 beta -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 beta) 2)))) (#(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 beta beta) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 beta) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 beta -2) 2))))) (#(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)))))))

simplify54.0ms (0.3%)

Algorithm
egg-herbie
Rules
1116×associate-*r*
910×associate-*l*
872×distribute-rgt-in
856×associate-+r+
840×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078757
1207469
2724469
34724469
Stop Event
node limit
Counts
43 → 41
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 (/.f64 1 beta) (/.f64 1 beta))
(*.f64 (pow.f64 beta -2) 1)
(*.f64 (pow.f64 beta -1/2) (*.f64 (pow.f64 beta -1/2) (/.f64 1 beta)))
(*.f64 (pow.f64 beta -1/2) (/.f64 (/.f64 1 beta) (sqrt.f64 beta)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 beta -2)) 2) (cbrt.f64 (pow.f64 beta -2)))
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (pow.f64 (cbrt.f64 (pow.f64 beta -2)) 2))
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (*.f64 (/.f64 1 (cbrt.f64 beta)) (/.f64 1 beta)))
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (/.f64 (/.f64 1 beta) (cbrt.f64 beta)))
(*.f64 (/.f64 -1 beta) (/.f64 -1 beta))
(*.f64 (*.f64 (/.f64 1 beta) (pow.f64 beta -1/2)) (pow.f64 beta -1/2))
(*.f64 (*.f64 (/.f64 1 beta) (cbrt.f64 (pow.f64 beta -2))) (/.f64 1 (cbrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 beta -1/2) 1) (/.f64 (pow.f64 beta -1/2) beta))
(*.f64 (/.f64 (pow.f64 beta -1/2) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (pow.f64 beta -1/2) (cbrt.f64 beta)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 beta -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 beta)) beta))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 beta -2)) (sqrt.f64 beta)) (/.f64 (/.f64 1 (cbrt.f64 beta)) (sqrt.f64 beta)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 beta -2)) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (pow.f64 beta -2)))
(pow.f64 beta -2)
(pow.f64 (/.f64 1 beta) 2)
(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 beta beta) -1)
(neg.f64 (/.f64 (/.f64 1 beta) (neg.f64 beta)))
(sqrt.f64 (pow.f64 (pow.f64 beta -2) 2))
(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 (/.f64 1 beta) (/.f64 1 beta))
(/.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 (pow.f64 beta -1/2) (*.f64 (pow.f64 beta -1/2) (/.f64 1 beta)))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(*.f64 (pow.f64 beta -1/2) (/.f64 (/.f64 1 beta) (sqrt.f64 beta)))
(*.f64 (pow.f64 beta -1/2) (/.f64 1 (*.f64 (sqrt.f64 beta) beta)))
(/.f64 (/.f64 (pow.f64 beta -1/2) beta) (sqrt.f64 beta))
(/.f64 (pow.f64 beta -1/2) (*.f64 beta (sqrt.f64 beta)))
(*.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 (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 (cbrt.f64 (pow.f64 beta -2)) (*.f64 (/.f64 1 (cbrt.f64 beta)) (/.f64 1 beta)))
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (/.f64 (*.f64 1 (/.f64 1 beta)) (cbrt.f64 beta)))
(/.f64 (cbrt.f64 (pow.f64 beta -2)) (*.f64 beta (cbrt.f64 beta)))
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (/.f64 (/.f64 1 beta) (cbrt.f64 beta)))
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (/.f64 (*.f64 1 (/.f64 1 beta)) (cbrt.f64 beta)))
(/.f64 (cbrt.f64 (pow.f64 beta -2)) (*.f64 beta (cbrt.f64 beta)))
(*.f64 (/.f64 -1 beta) (/.f64 -1 beta))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(*.f64 (*.f64 (/.f64 1 beta) (pow.f64 beta -1/2)) (pow.f64 beta -1/2))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(*.f64 (*.f64 (/.f64 1 beta) (cbrt.f64 (pow.f64 beta -2))) (/.f64 1 (cbrt.f64 beta)))
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (/.f64 (*.f64 1 (/.f64 1 beta)) (cbrt.f64 beta)))
(/.f64 (cbrt.f64 (pow.f64 beta -2)) (*.f64 beta (cbrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 beta -1/2) 1) (/.f64 (pow.f64 beta -1/2) beta))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(*.f64 (/.f64 (pow.f64 beta -1/2) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (pow.f64 beta -1/2) (cbrt.f64 beta)))
(/.f64 (/.f64 1 (*.f64 beta (cbrt.f64 beta))) (pow.f64 (cbrt.f64 beta) 2))
(/.f64 1 (*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 beta (cbrt.f64 beta))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 beta -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 beta)) beta))
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (/.f64 (*.f64 1 (/.f64 1 beta)) (cbrt.f64 beta)))
(/.f64 (cbrt.f64 (pow.f64 beta -2)) (*.f64 beta (cbrt.f64 beta)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 beta -2)) (sqrt.f64 beta)) (/.f64 (/.f64 1 (cbrt.f64 beta)) (sqrt.f64 beta)))
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (/.f64 (*.f64 1 (/.f64 1 beta)) (cbrt.f64 beta)))
(/.f64 (cbrt.f64 (pow.f64 beta -2)) (*.f64 beta (cbrt.f64 beta)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 beta -2)) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (pow.f64 beta -2)))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 beta -2)) 2) (pow.f64 (cbrt.f64 beta) 2))
(pow.f64 beta -2)
(/.f64 1 (*.f64 beta beta))
(pow.f64 (/.f64 1 beta) 2)
(/.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 beta beta) -1)
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(neg.f64 (/.f64 (/.f64 1 beta) (neg.f64 beta)))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(sqrt.f64 (pow.f64 (pow.f64 beta -2) 2))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(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)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.01%
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
0.35%
(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
Compiler

Compiled 31 to 22 computations (29% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite103.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1508×associate-*r/
1004×*-commutative
984×associate-*l/
796×distribute-lft-in
520×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01119
124419
2312419
Stop Event
node limit
Counts
1 → 65
Calls
Call 1
Inputs
(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 1/6 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (+.f64 alpha 2)) 1 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 1/6 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)) (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 1/6 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/6 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 1/6 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (neg.f64 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/6 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 1/6 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 -2 (*.f64 -1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/6 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 1/6 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (sqrt.f64 (+.f64 alpha 2)) (neg.f64 (sqrt.f64 (+.f64 alpha 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/6 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 1/6 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (cbrt.f64 (+.f64 alpha 2)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/6 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 beta beta)) (*.f64 (/.f64 1/6 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/6 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (*.f64 (/.f64 1/6 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 beta beta)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/6 (+.f64 alpha (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/6 (neg.f64 (-.f64 -2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/6 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/6 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/6 (-.f64 -2 (+.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/6 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/6 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 1 (-.f64 (-.f64 beta alpha) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/6 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 1/6 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 1/6 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 1/6)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 1/6)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/6 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) 1) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/6 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 -1)) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/6 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))) 1) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/6 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))) -1) (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/6 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 alpha (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/6 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/6 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/6 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))) 3))) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (-.f64 (*.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (*.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/6 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) 1) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/6) (sqrt.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 -1) (/.f64 1/6 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 1/6) (pow.f64 (cbrt.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2)))) 2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (-.f64 (-.f64 beta alpha) 2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/6 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/6 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (neg.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/6 (sqrt.f64 (-.f64 -2 (+.f64 beta alpha)))) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/6 (*.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))) (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))))) (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/6 (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/6 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/6 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) 1) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/6 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/6 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/6 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/6 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) 1) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/6 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/6 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/6 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/6 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))) (cbrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2)))))))))

simplify76.0ms (0.4%)

Algorithm
egg-herbie
Rules
1428×associate-*r/
1310×associate-/l*
1164×associate-/r*
1052×*-commutative
972×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02804119
18244011
231734005
Stop Event
node limit
Counts
89 → 155
Calls
Call 1
Inputs
(/.f64 1/6 (+.f64 2 alpha))
(+.f64 (*.f64 -1/6 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))
(+.f64 (*.f64 -1/6 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (*.f64 -1/6 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))))
(/.f64 1/6 beta)
(+.f64 (*.f64 1/6 (/.f64 1 beta)) (*.f64 -1/6 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (+.f64 (*.f64 1/6 (/.f64 1 beta)) (*.f64 -1/6 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2)))))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (+.f64 (*.f64 1/6 (/.f64 1 beta)) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (*.f64 -1/6 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))))))
(/.f64 1/6 beta)
(+.f64 (*.f64 1/6 (/.f64 1 beta)) (*.f64 -1/6 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (+.f64 (*.f64 1/6 (/.f64 1 beta)) (*.f64 -1/6 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2)))))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (+.f64 (*.f64 1/6 (/.f64 1 beta)) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (*.f64 -1/6 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))))))
(/.f64 1/6 (+.f64 beta 2))
(+.f64 (*.f64 -1/6 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))) (*.f64 1/6 (/.f64 1 (+.f64 beta 2))))
(+.f64 (*.f64 -1/6 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 beta 2))) (*.f64 1/6 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)))))
(+.f64 (*.f64 -1/6 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 beta 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3))) (*.f64 -1/6 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 4))))))
(/.f64 1/6 alpha)
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (*.f64 1/6 (/.f64 1 alpha)))
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (*.f64 1/6 (/.f64 1 alpha))))
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))) (*.f64 1/6 (/.f64 1 alpha)))))
(/.f64 1/6 alpha)
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (*.f64 1/6 (/.f64 1 alpha)))
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (*.f64 1/6 (/.f64 1 alpha))))
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))) (*.f64 1/6 (/.f64 1 alpha)))))
(+.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 1/6 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (+.f64 alpha 2)) 1 (+.f64 alpha 2))))
(+.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 1/6 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)) (+.f64 alpha 2))))
(+.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 1/6 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (+.f64 alpha 2))))
(+.f64 (*.f64 (/.f64 1/6 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 1/6 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (neg.f64 (+.f64 alpha 2))))
(+.f64 (*.f64 (/.f64 1/6 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 1/6 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 -2 (*.f64 -1 alpha))))
(+.f64 (*.f64 (/.f64 1/6 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 1/6 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (sqrt.f64 (+.f64 alpha 2)) (neg.f64 (sqrt.f64 (+.f64 alpha 2))))))
(+.f64 (*.f64 (/.f64 1/6 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 1/6 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (cbrt.f64 (+.f64 alpha 2)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)))))
(+.f64 (*.f64 (/.f64 1/6 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 beta beta)) (*.f64 (/.f64 1/6 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(+.f64 (*.f64 (/.f64 1/6 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (*.f64 (/.f64 1/6 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (*.f64 beta beta)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2))))) 1)
(/.f64 1/6 (+.f64 alpha (+.f64 beta 2)))
(/.f64 1/6 (neg.f64 (-.f64 -2 (+.f64 beta alpha))))
(/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 2)) 1/6))
(/.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2))) 1)
(/.f64 (/.f64 1/6 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 1/6 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 1/6 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))
(/.f64 -1/6 (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 1/6 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 1/6 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (/.f64 1 (-.f64 (-.f64 beta alpha) 2)))
(/.f64 (/.f64 1/6 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))))
(/.f64 (*.f64 1 (/.f64 1/6 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 1 (/.f64 1/6 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 1/6)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 1/6)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (/.f64 1/6 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) 1) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (/.f64 1/6 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 -1)) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (*.f64 (*.f64 1/6 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))) 1) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (*.f64 1/6 (cbrt.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2))) -1) (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (*.f64 (/.f64 1/6 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (*.f64 (/.f64 1/6 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (+.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (*.f64 (/.f64 1/6 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (-.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (*.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))
(/.f64 (*.f64 (/.f64 1/6 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (+.f64 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))) 3))) (+.f64 (*.f64 (*.f64 beta beta) (*.f64 beta beta)) (-.f64 (*.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))) (*.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta)))))))
(/.f64 (*.f64 (/.f64 1/6 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) 1) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (sqrt.f64 1/6) (sqrt.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 1/6 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (*.f64 (cbrt.f64 1/6) (pow.f64 (cbrt.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2)))) 2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 1/6 (-.f64 (-.f64 beta alpha) 2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))
(/.f64 (*.f64 1/6 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))
(/.f64 (/.f64 -1/6 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 -1/6 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (neg.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 -1/6 (sqrt.f64 (-.f64 -2 (+.f64 beta alpha)))) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (/.f64 -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 -1/6 (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 -1/6 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 1/6 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) 1) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 1/6 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (/.f64 1/6 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (/.f64 1/6 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (/.f64 1/6 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) 1) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 1/6 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (/.f64 1/6 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (/.f64 1/6 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 (/.f64 1/6 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))) (cbrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(pow.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(sqrt.f64 (*.f64 1/36 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))
(log.f64 (exp.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (log.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2)))))
(log1p.f64 (expm1.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2)))))
Outputs
(/.f64 1/6 (+.f64 2 alpha))
(+.f64 (*.f64 -1/6 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))
(fma.f64 -1/6 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1/6 (+.f64 2 alpha)))
(+.f64 (*.f64 -1/6 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))))
(fma.f64 -1/6 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 1/6 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1/6 (+.f64 2 alpha))))
(fma.f64 -1/6 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 1/6 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 alpha) 3) beta)) (/.f64 1/6 (+.f64 2 alpha))))
(fma.f64 -1/6 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 1/6 (*.f64 (/.f64 beta (pow.f64 (+.f64 2 alpha) 3)) beta) (/.f64 1/6 (+.f64 2 alpha))))
(+.f64 (*.f64 -1/6 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 beta 2) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))))
(fma.f64 -1/6 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 -1/6 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4)) (fma.f64 1/6 (/.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1/6 (+.f64 2 alpha)))))
(fma.f64 -1/6 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 -1/6 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4)) (fma.f64 1/6 (/.f64 beta (/.f64 (pow.f64 (+.f64 2 alpha) 3) beta)) (/.f64 1/6 (+.f64 2 alpha)))))
(fma.f64 -1/6 (/.f64 beta (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 -1/6 (/.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 4)) (fma.f64 1/6 (*.f64 (/.f64 beta (pow.f64 (+.f64 2 alpha) 3)) beta) (/.f64 1/6 (+.f64 2 alpha)))))
(/.f64 1/6 beta)
(+.f64 (*.f64 1/6 (/.f64 1 beta)) (*.f64 -1/6 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1/6 beta) (*.f64 -1/6 (/.f64 (+.f64 2 alpha) (*.f64 beta beta))))
(fma.f64 -1/6 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)) (/.f64 1/6 beta))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (+.f64 (*.f64 1/6 (/.f64 1 beta)) (*.f64 -1/6 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2)))))
(fma.f64 1/6 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)) (+.f64 (/.f64 1/6 beta) (*.f64 -1/6 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)))))
(fma.f64 1/6 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)) (fma.f64 -1/6 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)) (/.f64 1/6 beta)))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (+.f64 (*.f64 1/6 (/.f64 1 beta)) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (*.f64 -1/6 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))))))
(fma.f64 1/6 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)) (+.f64 (/.f64 1/6 beta) (*.f64 -1/6 (+.f64 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))))))
(fma.f64 1/6 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)) (fma.f64 -1/6 (+.f64 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (/.f64 1/6 beta)))
(/.f64 1/6 beta)
(+.f64 (*.f64 1/6 (/.f64 1 beta)) (*.f64 -1/6 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1/6 beta) (*.f64 -1/6 (/.f64 (+.f64 2 alpha) (*.f64 beta beta))))
(fma.f64 -1/6 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)) (/.f64 1/6 beta))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (+.f64 (*.f64 1/6 (/.f64 1 beta)) (*.f64 -1/6 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2)))))
(fma.f64 1/6 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)) (+.f64 (/.f64 1/6 beta) (*.f64 -1/6 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)))))
(fma.f64 1/6 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)) (fma.f64 -1/6 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)) (/.f64 1/6 beta)))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (+.f64 (*.f64 1/6 (/.f64 1 beta)) (+.f64 (*.f64 -1/6 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (*.f64 -1/6 (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))))))
(fma.f64 1/6 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)) (+.f64 (/.f64 1/6 beta) (*.f64 -1/6 (+.f64 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))))))
(fma.f64 1/6 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)) (fma.f64 -1/6 (+.f64 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 3) (pow.f64 beta 4))) (/.f64 1/6 beta)))
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/6 (+.f64 2 beta))
(+.f64 (*.f64 -1/6 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))) (*.f64 1/6 (/.f64 1 (+.f64 beta 2))))
(fma.f64 -1/6 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)) (/.f64 1/6 (+.f64 2 beta)))
(+.f64 (*.f64 -1/6 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 beta 2))) (*.f64 1/6 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3)))))
(+.f64 (fma.f64 -1/6 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)) (/.f64 1/6 (+.f64 2 beta))) (/.f64 (*.f64 1/6 (*.f64 alpha alpha)) (pow.f64 (+.f64 2 beta) 3)))
(fma.f64 -1/6 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)) (fma.f64 1/6 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 3)) (/.f64 1/6 (+.f64 2 beta))))
(fma.f64 -1/6 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)) (fma.f64 1/6 (/.f64 alpha (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha)) (/.f64 1/6 (+.f64 2 beta))))
(+.f64 (*.f64 -1/6 (/.f64 alpha (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 beta 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 3))) (*.f64 -1/6 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 4))))))
(+.f64 (fma.f64 -1/6 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)) (/.f64 1/6 (+.f64 2 beta))) (fma.f64 1/6 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 3)) (/.f64 (*.f64 -1/6 (pow.f64 alpha 3)) (pow.f64 (+.f64 2 beta) 4))))
(+.f64 (fma.f64 -1/6 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)) (/.f64 1/6 (+.f64 2 beta))) (fma.f64 1/6 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 3)) (*.f64 -1/6 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 4)))))
(+.f64 (fma.f64 -1/6 (/.f64 alpha (pow.f64 (+.f64 2 beta) 2)) (/.f64 1/6 (+.f64 2 beta))) (fma.f64 1/6 (/.f64 alpha (/.f64 (pow.f64 (+.f64 2 beta) 3) alpha)) (*.f64 (/.f64 -1/6 (pow.f64 (+.f64 2 beta) 4)) (pow.f64 alpha 3))))
(/.f64 1/6 alpha)
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (*.f64 1/6 (/.f64 1 alpha)))
(fma.f64 -1/6 (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (/.f64 1/6 alpha))
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (*.f64 1/6 (/.f64 1 alpha))))
(fma.f64 -1/6 (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (fma.f64 1/6 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)) (/.f64 1/6 alpha)))
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (+.f64 beta 2) 3) (pow.f64 alpha 4))) (*.f64 1/6 (/.f64 1 alpha)))))
(fma.f64 -1/6 (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (fma.f64 1/6 (/.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 alpha 3)) (fma.f64 -1/6 (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 4)) (/.f64 1/6 alpha))))
(/.f64 1/6 alpha)
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (*.f64 1/6 (/.f64 1 alpha)))
(fma.f64 -1/6 (/.f64 (+.f64 2 beta) (*.f64 alpha alpha)) (/.f64 1/6 alpha))
(+.f64 (*.f64 -1/6 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (*.f64 1/6 (/.f64 1 alpha))))
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(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 1/6 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (/.f64 1/6 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (/.f64 (sqrt.f64 (-.f64 -2 (+.f64 alpha beta))) (sqrt.f64 -1)))
(*.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 (-.f64 -2 alpha) beta))) (/.f64 1/6 (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (/.f64 1/6 (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (/.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 (-.f64 -2 alpha) beta))))
(/.f64 (*.f64 (cbrt.f64 1/6) (pow.f64 (cbrt.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2)))) 2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 1/6 (+.f64 alpha (+.f64 2 beta)))) 2) (/.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) (cbrt.f64 1/6)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/6 (+.f64 beta (+.f64 2 alpha)))) 2) (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))) (cbrt.f64 1/6))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/6 (+.f64 beta (+.f64 2 alpha)))) 2) (/.f64 (cbrt.f64 1/6) (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (*.f64 1/6 (-.f64 (-.f64 beta alpha) 2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2)))
(*.f64 (/.f64 1/6 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 beta (+.f64 -2 (neg.f64 alpha))))
(*.f64 (/.f64 1/6 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 beta (-.f64 -2 alpha)))
(/.f64 (*.f64 1/6 (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (+.f64 alpha (-.f64 2 beta))))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3)))
(*.f64 (/.f64 1/6 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (+.f64 alpha (-.f64 2 beta)))))
(/.f64 (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (+.f64 2 (-.f64 alpha beta)))) (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) 1/6))
(/.f64 (/.f64 -1/6 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 1/6 (+.f64 alpha (+.f64 2 beta)))
(/.f64 1/6 (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 -1/6 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (neg.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 1/6 (+.f64 alpha (+.f64 2 beta)))
(/.f64 1/6 (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 -1/6 (sqrt.f64 (-.f64 -2 (+.f64 beta alpha)))) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha))))
(/.f64 1/6 (+.f64 alpha (+.f64 2 beta)))
(/.f64 1/6 (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 -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 1/6 (+.f64 alpha (+.f64 2 beta)))
(/.f64 1/6 (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 -1/6 (neg.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 1/6 (+.f64 alpha (+.f64 2 beta)))
(/.f64 1/6 (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 -1/6 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 1/6 (+.f64 alpha (+.f64 2 beta)))
(/.f64 1/6 (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (/.f64 1/6 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) 1) (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 1/6 (+.f64 alpha (+.f64 2 beta)))
(/.f64 1/6 (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (/.f64 1/6 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 1/6 (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))) (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))))
(/.f64 (/.f64 (/.f64 1/6 (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (cbrt.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))) (cbrt.f64 (+.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 1/6 (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 (/.f64 (/.f64 1/6 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 1/6 (+.f64 alpha (+.f64 2 beta)))
(/.f64 1/6 (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (/.f64 1/6 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 1/6 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2))))
(/.f64 1/6 (*.f64 (*.f64 (fabs.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(/.f64 1/6 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (fabs.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))))))
(/.f64 (/.f64 (/.f64 1/6 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) 1) (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))
(/.f64 1/6 (+.f64 alpha (+.f64 2 beta)))
(/.f64 1/6 (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (/.f64 1/6 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))))) (sqrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 1/6 (+.f64 alpha (+.f64 2 beta)))
(/.f64 1/6 (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (/.f64 1/6 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2))))) (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 1/6 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (sqrt.f64 (+.f64 alpha (+.f64 2 beta))))))
(/.f64 1/6 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) (cbrt.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))))))
(/.f64 (/.f64 1/6 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (cbrt.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2))
(/.f64 (/.f64 (/.f64 1/6 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (/.f64 1/6 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta)))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 2 beta))) 2))))
(/.f64 (/.f64 1/6 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))))))
(/.f64 1/6 (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))))))
(/.f64 (/.f64 (/.f64 1/6 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))) (cbrt.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 1/6 (+.f64 alpha (+.f64 2 beta)))
(/.f64 1/6 (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2))) 1)
(/.f64 1/6 (+.f64 alpha (+.f64 2 beta)))
(/.f64 1/6 (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (sqrt.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2)))) 2)
(/.f64 1/6 (+.f64 alpha (+.f64 2 beta)))
(/.f64 1/6 (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (cbrt.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2)))) 3)
(/.f64 1/6 (+.f64 alpha (+.f64 2 beta)))
(/.f64 1/6 (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (pow.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(/.f64 1/6 (+.f64 alpha (+.f64 2 beta)))
(/.f64 1/6 (+.f64 beta (+.f64 2 alpha)))
(sqrt.f64 (*.f64 1/36 (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 2 beta)) -2) 1/36))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2) 1/36))
(log.f64 (exp.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 1/6 (+.f64 alpha (+.f64 2 beta)))
(/.f64 1/6 (+.f64 beta (+.f64 2 alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2))))))
(/.f64 1/6 (+.f64 alpha (+.f64 2 beta)))
(/.f64 1/6 (+.f64 beta (+.f64 2 alpha)))
(cbrt.f64 (pow.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2))) 3))
(/.f64 1/6 (+.f64 alpha (+.f64 2 beta)))
(/.f64 1/6 (+.f64 beta (+.f64 2 alpha)))
(expm1.f64 (log1p.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 1/6 (+.f64 alpha (+.f64 2 beta)))
(/.f64 1/6 (+.f64 beta (+.f64 2 alpha)))
(exp.f64 (log.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 1/6 (+.f64 alpha (+.f64 2 beta)))
(/.f64 1/6 (+.f64 beta (+.f64 2 alpha)))
(log1p.f64 (expm1.f64 (/.f64 1/6 (+.f64 alpha (+.f64 beta 2)))))
(/.f64 1/6 (+.f64 alpha (+.f64 2 beta)))
(/.f64 1/6 (+.f64 beta (+.f64 2 alpha)))

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.01%
(/.f64 1 (+.f64 beta (+.f64 alpha 2)))
0.44%
(*.f64 (+.f64 1/6 (*.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
0.56%
(*.f64 beta 1/36)
Compiler

Compiled 44 to 32 computations (27.3% saved)

series4.0ms (0%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
alpha
@0
(*.f64 (+.f64 1/6 (*.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
0.0ms
beta
@0
(*.f64 (+.f64 1/6 (*.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
0.0ms
alpha
@inf
(*.f64 (+.f64 1/6 (*.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
0.0ms
beta
@inf
(*.f64 (+.f64 1/6 (*.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
0.0ms
beta
@-inf
(*.f64 beta 1/36)

rewrite133.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1432×distribute-lft-in
960×associate-/r*
648×associate-/r/
634×associate-/l*
348×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01438
131434
2414534
Stop Event
node limit
Counts
2 → 158
Calls
Call 1
Inputs
(*.f64 beta 1/36)
(*.f64 (+.f64 1/6 (*.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 beta 1/36))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 beta 1/36) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (sqrt.f64 beta)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 beta 1/36)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 beta 1/36) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 beta beta) 1/1296))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/36) beta))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 beta 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 beta 1/36) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 beta 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 beta 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 beta 1/36)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 beta 1/36)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 (fma.f64 beta 1/36 1/6) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (+.f64 alpha 2)) 1 (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 (fma.f64 beta 1/36 1/6) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)) (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 (fma.f64 beta 1/36 1/6) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 beta 1/36)) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1/6) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 beta 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 beta 1/36) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (*.f64 (*.f64 beta 1/36) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 beta 1/36))) (*.f64 1 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1/6)) (*.f64 1 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 beta 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 beta 1/36) (/.f64 1 (+.f64 beta 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simplify150.0ms (0.8%)

Algorithm
egg-herbie
Rules
1052×+-commutative
1006×associate-+r+
912×associate-+l+
580×associate-/l*
546×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056410348
117139364
269689358
Stop Event
node limit
Counts
194 → 277
Calls
Call 1
Inputs
(*.f64 1/36 beta)
(*.f64 1/36 beta)
(*.f64 1/36 beta)
(*.f64 1/36 beta)
(*.f64 1/36 beta)
(*.f64 1/36 beta)
(*.f64 1/36 beta)
(*.f64 1/36 beta)
(*.f64 1/36 beta)
(*.f64 1/36 beta)
(*.f64 1/36 beta)
(*.f64 1/36 beta)
(/.f64 1/6 (+.f64 2 alpha))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/36 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))
(+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/36 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 beta (-.f64 (*.f64 1/36 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (*.f64 1/36 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/36 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 beta (-.f64 (*.f64 1/36 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))))
1/36
(-.f64 (+.f64 (*.f64 1/6 (/.f64 1 beta)) 1/36) (*.f64 1/36 (/.f64 (+.f64 2 alpha) beta)))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 1 beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 1/6 (*.f64 1/36 (+.f64 2 alpha)))) (pow.f64 beta 2))) 1/36)) (*.f64 1/36 (/.f64 (+.f64 2 alpha) beta)))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 1 beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 1/6 (*.f64 1/36 (+.f64 2 alpha)))) (pow.f64 beta 2))) (+.f64 1/36 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1/6 (*.f64 1/36 (+.f64 2 alpha)))) (pow.f64 beta 3))))) (*.f64 1/36 (/.f64 (+.f64 2 alpha) beta)))
1/36
(+.f64 (*.f64 1/6 (/.f64 1 beta)) (+.f64 1/36 (*.f64 -1/36 (/.f64 (+.f64 2 alpha) beta))))
(+.f64 (*.f64 1/6 (/.f64 1 beta)) (+.f64 1/36 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 1/6 (*.f64 -1/36 (+.f64 2 alpha)))) (pow.f64 beta 2))) (*.f64 -1/36 (/.f64 (+.f64 2 alpha) beta)))))
(+.f64 (*.f64 1/6 (/.f64 1 beta)) (+.f64 1/36 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 1/6 (*.f64 -1/36 (+.f64 2 alpha)))) (pow.f64 beta 2))) (+.f64 (*.f64 -1/36 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1/6 (*.f64 -1/36 (+.f64 2 alpha)))) (pow.f64 beta 3))))))
(/.f64 (+.f64 1/6 (*.f64 1/36 beta)) (+.f64 beta 2))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/36 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha)) (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 beta 2))) (*.f64 1/36 (/.f64 beta (+.f64 beta 2)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/36 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/36 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 beta 2)) (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 beta 2))) (*.f64 1/36 (/.f64 beta (+.f64 beta 2))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/36 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/36 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 beta 2)) (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 1/36 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))))) (*.f64 1/36 (/.f64 beta (+.f64 beta 2)))))))
(/.f64 (+.f64 1/6 (*.f64 1/36 beta)) alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1/6 (*.f64 1/36 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 1/36 (/.f64 beta alpha)) (*.f64 1/6 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1/6 (*.f64 1/36 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 1/6 (*.f64 1/36 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 1/36 (/.f64 beta alpha)) (*.f64 1/6 (/.f64 1 alpha)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1/6 (*.f64 1/36 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 1/6 (*.f64 1/36 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1/6 (*.f64 1/36 beta)) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 1/36 (/.f64 beta alpha)) (*.f64 1/6 (/.f64 1 alpha))))))
(/.f64 (+.f64 1/6 (*.f64 1/36 beta)) alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1/6 (*.f64 1/36 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (*.f64 1/36 (/.f64 beta alpha)) (*.f64 1/6 (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1/6 (*.f64 1/36 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 1/6 (*.f64 1/36 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 1/36 (/.f64 beta alpha)) (*.f64 1/6 (/.f64 1 alpha)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1/6 (*.f64 1/36 beta)) (+.f64 beta 2)) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 1/6 (*.f64 1/36 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1/6 (*.f64 1/36 beta)) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 alpha 4))) (+.f64 (*.f64 1/36 (/.f64 beta alpha)) (*.f64 1/6 (/.f64 1 alpha))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 beta 1/36))) 1)
(pow.f64 (*.f64 beta 1/36) 1)
(pow.f64 (*.f64 1/6 (sqrt.f64 beta)) 2)
(pow.f64 (cbrt.f64 (*.f64 beta 1/36)) 3)
(pow.f64 (pow.f64 (*.f64 beta 1/36) 3) 1/3)
(sqrt.f64 (*.f64 (*.f64 beta beta) 1/1296))
(log.f64 (pow.f64 (exp.f64 1/36) beta))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 beta 1/36))))
(cbrt.f64 (pow.f64 (*.f64 beta 1/36) 3))
(expm1.f64 (log1p.f64 (*.f64 beta 1/36)))
(exp.f64 (log.f64 (*.f64 beta 1/36)))
(exp.f64 (*.f64 (log.f64 (*.f64 beta 1/36)) 1))
(log1p.f64 (expm1.f64 (*.f64 beta 1/36)))
(+.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 (fma.f64 beta 1/36 1/6) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (+.f64 alpha 2)) 1 (+.f64 alpha 2))))
(+.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 (fma.f64 beta 1/36 1/6) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 alpha 2))) (sqrt.f64 (+.f64 alpha 2)) (+.f64 alpha 2))))
(+.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2))) (*.f64 (/.f64 (fma.f64 beta 1/36 1/6) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 alpha 2))) (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2) (+.f64 alpha 2))))
(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 beta 1/36)) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1/6))
(+.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1/6) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 beta 1/36)))
(+.f64 (*.f64 (*.f64 beta 1/36) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (*.f64 (*.f64 beta 1/36) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
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(+.f64 (*.f64 (/.f64 (fma.f64 beta 1/36 1/6) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 (fma.f64 beta 1/36 1/6) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (neg.f64 (+.f64 alpha 2))))
(+.f64 (*.f64 (/.f64 (fma.f64 beta 1/36 1/6) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 (fma.f64 beta 1/36 1/6) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (+.f64 -2 (*.f64 -1 alpha))))
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(+.f64 (*.f64 (/.f64 (fma.f64 beta 1/36 1/6) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) beta) (*.f64 (/.f64 (fma.f64 beta 1/36 1/6) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 2)) 2)) (cbrt.f64 (+.f64 alpha 2)))))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2))))) 1)
(/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2)))
(/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (fma.f64 beta 1/36 1/6)))
(/.f64 1 (/.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1/6 (*.f64 -1/36 beta))) (-.f64 1/36 (*.f64 (*.f64 beta beta) 1/1296))))
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(/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (fma.f64 beta 1/36 1/6)))
(/.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 (sqrt.f64 (fma.f64 beta 1/36 1/6)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (fma.f64 beta 1/36 1/6))))
(/.f64 (cbrt.f64 (fma.f64 beta 1/36 1/6)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (pow.f64 (cbrt.f64 (fma.f64 beta 1/36 1/6)) 2)))
(/.f64 (cbrt.f64 (fma.f64 beta 1/36 1/6)) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (fma.f64 beta 1/36 1/6))) (cbrt.f64 (sqrt.f64 (fma.f64 beta 1/36 1/6)))))
(/.f64 (cbrt.f64 (fma.f64 beta 1/36 1/6)) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (cbrt.f64 (fma.f64 beta 1/36 1/6))) (cbrt.f64 (fma.f64 beta 1/36 1/6))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 1/36 1/6)) 2) (/.f64 (+.f64 beta (+.f64 alpha 2)) (cbrt.f64 (fma.f64 beta 1/36 1/6))))
(/.f64 (-.f64 1/36 (*.f64 (*.f64 beta beta) 1/1296)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1/6 (*.f64 -1/36 beta))))
(/.f64 (-.f64 1/36 (*.f64 (*.f64 beta beta) 1/1296)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 1 (+.f64 1/6 (*.f64 -1/36 beta)))))
(/.f64 (-.f64 1/36 (*.f64 (*.f64 beta beta) 1/1296)) (/.f64 (+.f64 1/6 (*.f64 -1/36 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (-.f64 1/36 (*.f64 (*.f64 beta beta) 1/1296)) (/.f64 (*.f64 (+.f64 1/6 (*.f64 -1/36 beta)) (+.f64 beta (+.f64 alpha 2))) 1))
(/.f64 (-.f64 1/36 (*.f64 (*.f64 beta beta) 1/1296)) (/.f64 (*.f64 (+.f64 1/6 (*.f64 -1/36 beta)) (-.f64 -2 (+.f64 beta alpha))) -1))
(/.f64 (+.f64 1/216 (pow.f64 (*.f64 beta 1/36) 3)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta)))))
(/.f64 (+.f64 1/216 (pow.f64 (*.f64 beta 1/36) 3)) (/.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 1 (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta))))))
(/.f64 (+.f64 1/216 (pow.f64 (*.f64 beta 1/36) 3)) (/.f64 (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (+.f64 1/216 (pow.f64 (*.f64 beta 1/36) 3)) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta))) (+.f64 beta (+.f64 alpha 2))) 1))
(/.f64 (+.f64 1/216 (pow.f64 (*.f64 beta 1/36) 3)) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta))) (-.f64 -2 (+.f64 beta alpha))) -1))
(/.f64 -1 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (fma.f64 beta 1/36 1/6)))
(/.f64 -1 (/.f64 (*.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 1/6 (*.f64 -1/36 beta))) (-.f64 1/36 (*.f64 (*.f64 beta beta) 1/1296))))
(/.f64 -1 (/.f64 (*.f64 (-.f64 -2 (+.f64 beta alpha)) (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta)))) (+.f64 1/216 (pow.f64 (*.f64 beta 1/36) 3))))
(/.f64 (sqrt.f64 (+.f64 1/216 (pow.f64 (*.f64 beta 1/36) 3))) (/.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta)))) (sqrt.f64 (+.f64 1/216 (pow.f64 (*.f64 beta 1/36) 3)))))
(/.f64 (sqrt.f64 (+.f64 1/216 (pow.f64 (*.f64 beta 1/36) 3))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (fma.f64 beta 1/36 1/6))) (sqrt.f64 (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 1/36 1/6)) 2)) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (fma.f64 beta 1/36 1/6))) (sqrt.f64 (cbrt.f64 (fma.f64 beta 1/36 1/6)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 1/36 1/6)) 2)) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (cbrt.f64 (fma.f64 beta 1/36 1/6))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 1/36 1/6)) 2))))
(/.f64 (sqrt.f64 (-.f64 1/36 (*.f64 (*.f64 beta beta) 1/1296))) (/.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1/6 (*.f64 -1/36 beta))) (sqrt.f64 (-.f64 1/36 (*.f64 (*.f64 beta beta) 1/1296)))))
(/.f64 (sqrt.f64 (-.f64 1/36 (*.f64 (*.f64 beta beta) 1/1296))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (fma.f64 beta 1/36 1/6))) (sqrt.f64 (+.f64 1/6 (*.f64 -1/36 beta)))))
(/.f64 (sqrt.f64 (sqrt.f64 (fma.f64 beta 1/36 1/6))) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (fma.f64 beta 1/36 1/6))) (sqrt.f64 (sqrt.f64 (fma.f64 beta 1/36 1/6)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/216 (pow.f64 (*.f64 beta 1/36) 3))) (cbrt.f64 (+.f64 1/216 (pow.f64 (*.f64 beta 1/36) 3)))) (/.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta)))) (cbrt.f64 (+.f64 1/216 (pow.f64 (*.f64 beta 1/36) 3)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 1/36 1/6)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 1/36 1/6)) 2))) (/.f64 (/.f64 (+.f64 beta (+.f64 alpha 2)) (cbrt.f64 (fma.f64 beta 1/36 1/6))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 beta 1/36 1/6)) 2))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/36 (*.f64 (*.f64 beta beta) 1/1296))) (cbrt.f64 (-.f64 1/36 (*.f64 (*.f64 beta beta) 1/1296)))) (/.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1/6 (*.f64 -1/36 beta))) (cbrt.f64 (-.f64 1/36 (*.f64 (*.f64 beta beta) 1/1296)))))
(/.f64 (*.f64 (fma.f64 beta 1/36 1/6) -1) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 1/36 (*.f64 (*.f64 beta beta) 1/1296))) (+.f64 1/6 (*.f64 -1/36 beta)))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 1/216 (pow.f64 (*.f64 beta 1/36) 3))) (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta))))
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(/.f64 (*.f64 (+.f64 1/216 (pow.f64 (*.f64 beta 1/36) 3)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta))))
(/.f64 (*.f64 -1 (fma.f64 beta 1/36 1/6)) (-.f64 -2 (+.f64 beta alpha)))
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(/.f64 (*.f64 (-.f64 1/36 (*.f64 (*.f64 beta beta) 1/1296)) 1) (*.f64 (+.f64 1/6 (*.f64 -1/36 beta)) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (*.f64 (+.f64 1/216 (pow.f64 (*.f64 beta 1/36) 3)) 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta)))))
(/.f64 (*.f64 (+.f64 1/216 (pow.f64 (*.f64 beta 1/36) 3)) 1) (*.f64 (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta))) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (fma.f64 beta 1/36 1/6) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
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(/.f64 (-.f64 (*.f64 (*.f64 beta beta) 1/1296) 1/36) (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (*.f64 beta 1/36) 1/6)))
(/.f64 (-.f64 1/1296 (*.f64 (*.f64 (*.f64 beta beta) 1/1296) (*.f64 (*.f64 beta beta) 1/1296))) (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1/6 (*.f64 -1/36 beta))) (+.f64 1/36 (*.f64 (*.f64 beta beta) 1/1296))))
(/.f64 (+.f64 1/10077696 (pow.f64 (pow.f64 (*.f64 beta 1/36) 3) 3)) (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta)))) (+.f64 1/46656 (-.f64 (*.f64 (pow.f64 (*.f64 beta 1/36) 3) (pow.f64 (*.f64 beta 1/36) 3)) (*.f64 1/216 (pow.f64 (*.f64 beta 1/36) 3))))))
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(/.f64 (*.f64 (-.f64 1/36 (*.f64 (*.f64 beta beta) 1/1296)) -1) (*.f64 (+.f64 1/6 (*.f64 -1/36 beta)) (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (*.f64 (+.f64 1/216 (pow.f64 (*.f64 beta 1/36) 3)) -1) (*.f64 (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta))) (-.f64 -2 (+.f64 beta alpha))))
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(/.f64 (neg.f64 (fma.f64 beta 1/36 1/6)) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (neg.f64 (-.f64 1/36 (*.f64 (*.f64 beta beta) 1/1296))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (+.f64 1/6 (*.f64 -1/36 beta)))))
(/.f64 (neg.f64 (+.f64 1/216 (pow.f64 (*.f64 beta 1/36) 3))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta))))))
(/.f64 (/.f64 (-.f64 1/36 (*.f64 (*.f64 beta beta) 1/1296)) (+.f64 beta (+.f64 alpha 2))) (+.f64 1/6 (*.f64 -1/36 beta)))
(/.f64 (/.f64 (+.f64 1/216 (pow.f64 (*.f64 beta 1/36) 3)) (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta))))
(/.f64 (/.f64 (*.f64 (fma.f64 beta 1/36 1/6) -1) 1) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 (*.f64 (fma.f64 beta 1/36 1/6) -1) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (*.f64 (fma.f64 beta 1/36 1/6) -1) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (neg.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (*.f64 (fma.f64 beta 1/36 1/6) -1) -1) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (*.f64 (fma.f64 beta 1/36 1/6) -1) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha)))) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (/.f64 (*.f64 (fma.f64 beta 1/36 1/6) -1) (*.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 (fma.f64 beta 1/36 1/6) -1) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (*.f64 (fma.f64 beta 1/36 1/6) -1) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 1/36 (*.f64 (*.f64 beta beta) 1/1296))) 1) (+.f64 1/6 (*.f64 -1/36 beta)))
(/.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 1/36 (*.f64 (*.f64 beta beta) 1/1296))) (sqrt.f64 (+.f64 1/6 (*.f64 -1/36 beta)))) (sqrt.f64 (+.f64 1/6 (*.f64 -1/36 beta))))
(/.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (-.f64 1/36 (*.f64 (*.f64 beta beta) 1/1296))) (*.f64 (cbrt.f64 (+.f64 1/6 (*.f64 -1/36 beta))) (cbrt.f64 (+.f64 1/6 (*.f64 -1/36 beta))))) (cbrt.f64 (+.f64 1/6 (*.f64 -1/36 beta))))
(/.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 1/216 (pow.f64 (*.f64 beta 1/36) 3))) 1) (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta))))
(/.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 1/216 (pow.f64 (*.f64 beta 1/36) 3))) (sqrt.f64 (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta)))))
(/.f64 (/.f64 (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 1/216 (pow.f64 (*.f64 beta 1/36) 3))) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta)))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta)))))
(/.f64 (/.f64 (*.f64 (-.f64 1/36 (*.f64 (*.f64 beta beta) 1/1296)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) 1) (+.f64 1/6 (*.f64 -1/36 beta)))
(/.f64 (/.f64 (*.f64 (-.f64 1/36 (*.f64 (*.f64 beta beta) 1/1296)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 1/6 (*.f64 -1/36 beta)))) (sqrt.f64 (+.f64 1/6 (*.f64 -1/36 beta))))
(/.f64 (/.f64 (*.f64 (-.f64 1/36 (*.f64 (*.f64 beta beta) 1/1296)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (*.f64 (cbrt.f64 (+.f64 1/6 (*.f64 -1/36 beta))) (cbrt.f64 (+.f64 1/6 (*.f64 -1/36 beta))))) (cbrt.f64 (+.f64 1/6 (*.f64 -1/36 beta))))
(/.f64 (/.f64 (*.f64 (+.f64 1/216 (pow.f64 (*.f64 beta 1/36) 3)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) 1) (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta))))
(/.f64 (/.f64 (*.f64 (+.f64 1/216 (pow.f64 (*.f64 beta 1/36) 3)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta)))))
(/.f64 (/.f64 (*.f64 (+.f64 1/216 (pow.f64 (*.f64 beta 1/36) 3)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta)))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta)))))
(/.f64 (/.f64 (*.f64 -1 (fma.f64 beta 1/36 1/6)) 1) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 (*.f64 -1 (fma.f64 beta 1/36 1/6)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (*.f64 -1 (fma.f64 beta 1/36 1/6)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (neg.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (*.f64 -1 (fma.f64 beta 1/36 1/6)) -1) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (*.f64 -1 (fma.f64 beta 1/36 1/6)) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha)))) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (/.f64 (*.f64 -1 (fma.f64 beta 1/36 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 -1 (fma.f64 beta 1/36 1/6)) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (*.f64 -1 (fma.f64 beta 1/36 1/6)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (/.f64 (fma.f64 beta 1/36 1/6) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) 1) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (/.f64 (fma.f64 beta 1/36 1/6) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (/.f64 (fma.f64 beta 1/36 1/6) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (/.f64 (fma.f64 beta 1/36 1/6) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (sqrt.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (/.f64 (fma.f64 beta 1/36 1/6) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) 1) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (/.f64 (fma.f64 beta 1/36 1/6) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (/.f64 (fma.f64 beta 1/36 1/6) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))) (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (/.f64 (fma.f64 beta 1/36 1/6) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (/.f64 (fma.f64 beta 1/36 1/6) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) (cbrt.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (*.f64 (-.f64 1/36 (*.f64 (*.f64 beta beta) 1/1296)) -1) (+.f64 1/6 (*.f64 -1/36 beta))) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 (*.f64 (+.f64 1/216 (pow.f64 (*.f64 beta 1/36) 3)) -1) (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta)))) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 (*.f64 -1 (-.f64 1/36 (*.f64 (*.f64 beta beta) 1/1296))) (-.f64 -2 (+.f64 beta alpha))) (+.f64 1/6 (*.f64 -1/36 beta)))
(/.f64 (/.f64 (*.f64 -1 (+.f64 1/216 (pow.f64 (*.f64 beta 1/36) 3))) (-.f64 -2 (+.f64 beta alpha))) (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta))))
(/.f64 (/.f64 (neg.f64 (fma.f64 beta 1/36 1/6)) 1) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (/.f64 (neg.f64 (fma.f64 beta 1/36 1/6)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (neg.f64 (fma.f64 beta 1/36 1/6)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (neg.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (/.f64 (neg.f64 (fma.f64 beta 1/36 1/6)) -1) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (/.f64 (neg.f64 (fma.f64 beta 1/36 1/6)) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha)))) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (/.f64 (neg.f64 (fma.f64 beta 1/36 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 (fma.f64 beta 1/36 1/6)) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (neg.f64 (fma.f64 beta 1/36 1/6)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2))) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 beta 1/36 1/6) 3) (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) (pow.f64 (fma.f64 beta 1/36 1/6) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 beta 1/36 1/6) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2)))))
Outputs
(*.f64 1/36 beta)
(*.f64 1/36 beta)
(*.f64 1/36 beta)
(*.f64 1/36 beta)
(*.f64 1/36 beta)
(*.f64 1/36 beta)
(*.f64 1/36 beta)
(*.f64 1/36 beta)
(*.f64 1/36 beta)
(*.f64 1/36 beta)
(*.f64 1/36 beta)
(*.f64 1/36 beta)
(/.f64 1/6 (+.f64 2 alpha))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/36 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))
(fma.f64 beta (-.f64 (/.f64 1/36 (+.f64 2 alpha)) (/.f64 1/6 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1/6 (+.f64 2 alpha)))
(fma.f64 beta (+.f64 (/.f64 1/36 (+.f64 2 alpha)) (/.f64 -1/6 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1/6 (+.f64 2 alpha)))
(+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/36 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 beta (-.f64 (*.f64 1/36 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))))
(fma.f64 (*.f64 beta beta) (-.f64 (/.f64 1/6 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1/36 (pow.f64 (+.f64 2 alpha) 2))) (fma.f64 beta (-.f64 (/.f64 1/36 (+.f64 2 alpha)) (/.f64 1/6 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1/6 (+.f64 2 alpha))))
(fma.f64 (+.f64 (/.f64 1/6 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 -1/36 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 beta beta) (fma.f64 beta (+.f64 (/.f64 1/36 (+.f64 2 alpha)) (/.f64 -1/6 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1/6 (+.f64 2 alpha))))
(+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (*.f64 1/36 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/36 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 beta (-.f64 (*.f64 1/36 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))))))
(fma.f64 (pow.f64 beta 3) (-.f64 (/.f64 1/36 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1/6 (pow.f64 (+.f64 2 alpha) 4))) (fma.f64 (*.f64 beta beta) (-.f64 (/.f64 1/6 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1/36 (pow.f64 (+.f64 2 alpha) 2))) (fma.f64 beta (-.f64 (/.f64 1/36 (+.f64 2 alpha)) (/.f64 1/6 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1/6 (+.f64 2 alpha)))))
(fma.f64 (pow.f64 beta 3) (+.f64 (/.f64 1/36 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 -1/6 (pow.f64 (+.f64 2 alpha) 4))) (fma.f64 (+.f64 (/.f64 1/6 (pow.f64 (+.f64 2 alpha) 3)) (/.f64 -1/36 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 beta beta) (fma.f64 beta (+.f64 (/.f64 1/36 (+.f64 2 alpha)) (/.f64 -1/6 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1/6 (+.f64 2 alpha)))))
1/36
(-.f64 (+.f64 (*.f64 1/6 (/.f64 1 beta)) 1/36) (*.f64 1/36 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 (/.f64 1/6 beta) (+.f64 1/36 (/.f64 (+.f64 -1/18 (*.f64 -1/36 alpha)) beta)))
(+.f64 (/.f64 1/6 beta) (fma.f64 (/.f64 (+.f64 2 alpha) beta) -1/36 1/36))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 1 beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 1/6 (*.f64 1/36 (+.f64 2 alpha)))) (pow.f64 beta 2))) 1/36)) (*.f64 1/36 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 (+.f64 (/.f64 1/6 beta) (fma.f64 -1 (/.f64 (+.f64 2 alpha) (/.f64 (*.f64 beta beta) (+.f64 1/6 (+.f64 -1/18 (*.f64 -1/36 alpha))))) 1/36)) (/.f64 (+.f64 -1/18 (*.f64 -1/36 alpha)) beta))
(+.f64 (/.f64 1/6 beta) (+.f64 (/.f64 (*.f64 (-.f64 -2 alpha) (+.f64 1/9 (*.f64 alpha -1/36))) (*.f64 beta beta)) (fma.f64 (/.f64 (+.f64 2 alpha) beta) -1/36 1/36)))
(+.f64 (/.f64 1/6 beta) (+.f64 (/.f64 (*.f64 (-.f64 -2 alpha) (+.f64 (*.f64 alpha -1/36) 1/9)) (*.f64 beta beta)) (fma.f64 (/.f64 (+.f64 2 alpha) beta) -1/36 1/36)))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 1 beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 1/6 (*.f64 1/36 (+.f64 2 alpha)))) (pow.f64 beta 2))) (+.f64 1/36 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1/6 (*.f64 1/36 (+.f64 2 alpha)))) (pow.f64 beta 3))))) (*.f64 1/36 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 (/.f64 1/6 beta) (-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 2 alpha) (/.f64 (*.f64 beta beta) (+.f64 1/6 (+.f64 -1/18 (*.f64 -1/36 alpha))))) 1/36) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (/.f64 (pow.f64 beta 3) (+.f64 1/6 (+.f64 -1/18 (*.f64 -1/36 alpha)))))) (/.f64 (+.f64 1/18 (*.f64 1/36 alpha)) beta)))
(+.f64 (+.f64 1/36 (+.f64 (/.f64 1/6 beta) (/.f64 (*.f64 (-.f64 -2 alpha) (+.f64 1/9 (*.f64 alpha -1/36))) (*.f64 beta beta)))) (fma.f64 (/.f64 (+.f64 2 alpha) beta) -1/36 (*.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)) (+.f64 1/9 (*.f64 alpha -1/36)))))
(+.f64 (+.f64 (/.f64 1/6 beta) (fma.f64 (/.f64 (+.f64 2 alpha) beta) -1/36 1/36)) (+.f64 (/.f64 (*.f64 (-.f64 -2 alpha) (+.f64 (*.f64 alpha -1/36) 1/9)) (*.f64 beta beta)) (*.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)) (+.f64 (*.f64 alpha -1/36) 1/9))))
1/36
(+.f64 (*.f64 1/6 (/.f64 1 beta)) (+.f64 1/36 (*.f64 -1/36 (/.f64 (+.f64 2 alpha) beta))))
(+.f64 (/.f64 1/6 beta) (+.f64 1/36 (/.f64 (+.f64 -1/18 (*.f64 -1/36 alpha)) beta)))
(+.f64 (/.f64 1/6 beta) (fma.f64 (/.f64 (+.f64 2 alpha) beta) -1/36 1/36))
(+.f64 (*.f64 1/6 (/.f64 1 beta)) (+.f64 1/36 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 1/6 (*.f64 -1/36 (+.f64 2 alpha)))) (pow.f64 beta 2))) (*.f64 -1/36 (/.f64 (+.f64 2 alpha) beta)))))
(+.f64 (+.f64 (/.f64 1/6 beta) (fma.f64 -1 (/.f64 (+.f64 2 alpha) (/.f64 (*.f64 beta beta) (+.f64 1/6 (+.f64 -1/18 (*.f64 -1/36 alpha))))) 1/36)) (/.f64 (+.f64 -1/18 (*.f64 -1/36 alpha)) beta))
(+.f64 (/.f64 1/6 beta) (+.f64 (/.f64 (*.f64 (-.f64 -2 alpha) (+.f64 1/9 (*.f64 alpha -1/36))) (*.f64 beta beta)) (fma.f64 (/.f64 (+.f64 2 alpha) beta) -1/36 1/36)))
(+.f64 (/.f64 1/6 beta) (+.f64 (/.f64 (*.f64 (-.f64 -2 alpha) (+.f64 (*.f64 alpha -1/36) 1/9)) (*.f64 beta beta)) (fma.f64 (/.f64 (+.f64 2 alpha) beta) -1/36 1/36)))
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(/.f64 (/.f64 (*.f64 (-.f64 1/36 (*.f64 (*.f64 beta beta) 1/1296)) -1) (+.f64 1/6 (*.f64 -1/36 beta))) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (neg.f64 (-.f64 1/36 (*.f64 beta (*.f64 beta 1/1296)))) (*.f64 (+.f64 1/6 (*.f64 beta -1/36)) (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (fma.f64 beta (*.f64 beta 1/1296) -1/36) (*.f64 (fma.f64 beta -1/36 1/6) (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 (/.f64 (*.f64 (+.f64 1/216 (pow.f64 (*.f64 beta 1/36) 3)) -1) (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta)))) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (+.f64 -1/216 (neg.f64 (*.f64 (pow.f64 beta 3) 1/46656))) (*.f64 (fma.f64 (*.f64 beta beta) 1/1296 (-.f64 1/36 (*.f64 beta 1/216))) (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (+.f64 -1/216 (*.f64 (pow.f64 beta 3) -1/46656)) (*.f64 (-.f64 (fma.f64 beta (*.f64 beta 1/1296) 1/36) (*.f64 beta 1/216)) (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 (/.f64 (*.f64 -1 (-.f64 1/36 (*.f64 (*.f64 beta beta) 1/1296))) (-.f64 -2 (+.f64 beta alpha))) (+.f64 1/6 (*.f64 -1/36 beta)))
(/.f64 (neg.f64 (-.f64 1/36 (*.f64 beta (*.f64 beta 1/1296)))) (*.f64 (+.f64 1/6 (*.f64 beta -1/36)) (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (fma.f64 beta (*.f64 beta 1/1296) -1/36) (*.f64 (fma.f64 beta -1/36 1/6) (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 (/.f64 (*.f64 -1 (+.f64 1/216 (pow.f64 (*.f64 beta 1/36) 3))) (-.f64 -2 (+.f64 beta alpha))) (+.f64 (*.f64 (*.f64 beta beta) 1/1296) (-.f64 1/36 (*.f64 1/216 beta))))
(/.f64 (+.f64 -1/216 (neg.f64 (*.f64 (pow.f64 beta 3) 1/46656))) (*.f64 (fma.f64 (*.f64 beta beta) 1/1296 (-.f64 1/36 (*.f64 beta 1/216))) (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (+.f64 -1/216 (*.f64 (pow.f64 beta 3) -1/46656)) (*.f64 (-.f64 (fma.f64 beta (*.f64 beta 1/1296) 1/36) (*.f64 beta 1/216)) (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 (/.f64 (neg.f64 (fma.f64 beta 1/36 1/6)) 1) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (neg.f64 (fma.f64 beta 1/36 1/6)) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 -1/6 (*.f64 1/36 beta)) (-.f64 (-.f64 -2 alpha) beta))
(/.f64 (/.f64 (neg.f64 (fma.f64 beta 1/36 1/6)) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (fma.f64 beta 1/36 1/6))
(/.f64 (fma.f64 1/36 beta 1/6) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (neg.f64 (fma.f64 beta 1/36 1/6)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (neg.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (fma.f64 beta 1/36 1/6))
(/.f64 (fma.f64 1/36 beta 1/6) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (neg.f64 (fma.f64 beta 1/36 1/6)) -1) (+.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (fma.f64 beta 1/36 1/6))
(/.f64 (fma.f64 1/36 beta 1/6) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (neg.f64 (fma.f64 beta 1/36 1/6)) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha)))) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha))))
(/.f64 (neg.f64 (fma.f64 beta 1/36 1/6)) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 -1/6 (*.f64 1/36 beta)) (-.f64 (-.f64 -2 alpha) beta))
(/.f64 (/.f64 (neg.f64 (fma.f64 beta 1/36 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 (neg.f64 (fma.f64 beta 1/36 1/6)) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 -1/6 (*.f64 1/36 beta)) (-.f64 (-.f64 -2 alpha) beta))
(/.f64 (/.f64 (neg.f64 (fma.f64 beta 1/36 1/6)) (neg.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (fma.f64 beta 1/36 1/6))
(/.f64 (fma.f64 1/36 beta 1/6) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (/.f64 (neg.f64 (fma.f64 beta 1/36 1/6)) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2))) (cbrt.f64 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (fma.f64 beta 1/36 1/6))
(/.f64 (fma.f64 1/36 beta 1/6) (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (fma.f64 beta 1/36 1/6))
(/.f64 (fma.f64 1/36 beta 1/6) (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2)))) 2)
(*.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (fma.f64 beta 1/36 1/6))
(/.f64 (fma.f64 1/36 beta 1/6) (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2)))) 3)
(*.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (fma.f64 beta 1/36 1/6))
(/.f64 (fma.f64 1/36 beta 1/6) (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (pow.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(*.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (fma.f64 beta 1/36 1/6))
(/.f64 (fma.f64 1/36 beta 1/6) (+.f64 beta (+.f64 2 alpha)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2))) 2))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 2 alpha))) 2))
(fabs.f64 (/.f64 (fma.f64 1/36 beta 1/6) (+.f64 beta (+.f64 2 alpha))))
(log.f64 (exp.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (fma.f64 beta 1/36 1/6))
(/.f64 (fma.f64 1/36 beta 1/6) (+.f64 beta (+.f64 2 alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2))))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (fma.f64 beta 1/36 1/6))
(/.f64 (fma.f64 1/36 beta 1/6) (+.f64 beta (+.f64 2 alpha)))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2))) 3))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (fma.f64 beta 1/36 1/6))
(/.f64 (fma.f64 1/36 beta 1/6) (+.f64 beta (+.f64 2 alpha)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 beta 1/36 1/6) 3) (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (fma.f64 beta 1/36 1/6))
(/.f64 (fma.f64 1/36 beta 1/6) (+.f64 beta (+.f64 2 alpha)))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)) (pow.f64 (fma.f64 beta 1/36 1/6) 3)))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (fma.f64 beta 1/36 1/6))
(/.f64 (fma.f64 1/36 beta 1/6) (+.f64 beta (+.f64 2 alpha)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 beta 1/36 1/6) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (fma.f64 beta 1/36 1/6))
(/.f64 (fma.f64 1/36 beta 1/6) (+.f64 beta (+.f64 2 alpha)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (fma.f64 beta 1/36 1/6))
(/.f64 (fma.f64 1/36 beta 1/6) (+.f64 beta (+.f64 2 alpha)))
(exp.f64 (log.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (fma.f64 beta 1/36 1/6))
(/.f64 (fma.f64 1/36 beta 1/6) (+.f64 beta (+.f64 2 alpha)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2)))) 1))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (fma.f64 beta 1/36 1/6))
(/.f64 (fma.f64 1/36 beta 1/6) (+.f64 beta (+.f64 2 alpha)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 beta 1/36 1/6) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (fma.f64 beta 1/36 1/6))
(/.f64 (fma.f64 1/36 beta 1/6) (+.f64 beta (+.f64 2 alpha)))

eval646.0ms (3.4%)

Compiler

Compiled 24466 to 18056 computations (26.2% saved)

prune278.0ms (1.5%)

Pruning

29 alts after pruning (22 fresh and 7 done)

PrunedKeptTotal
New9337940
Fresh01515
Picked101
Done3710
Total93729966
Error
0%
Counts
966 → 29
Alt Table
Click to see full alt table
StatusErrorProgram
54.39%
(pow.f64 beta -2)
25.53%
(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 alpha (*.f64 beta alpha)) (/.f64 (*.f64 beta beta) (+.f64 beta -1))) (/.f64 1 (+.f64 beta -1))) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
39.63%
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
23.25%
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
5.43%
(/.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))))
52.84%
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
68.34%
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
69.08%
(/.f64 (/.f64 alpha beta) beta)
46.37%
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
45.17%
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
53.5%
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
54.45%
(/.f64 (/.f64 1 beta) beta)
12.97%
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
60.81%
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (*.f64 beta (neg.f64 beta))))
60.47%
(/.f64 (-.f64 -1 beta) (neg.f64 (*.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7)))))
48.06%
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3)))
42.67%
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
42.68%
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
50.78%
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
49.75%
(/.f64 (+.f64 1/6 (*.f64 1/36 beta)) (+.f64 beta 2))
70.67%
(/.f64 alpha (*.f64 beta beta))
53.8%
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
54.75%
(/.f64 1 (*.f64 beta beta))
48.4%
(/.f64 1/6 (+.f64 beta 2))
49.73%
(/.f64 1/6 (+.f64 2 alpha))
94.24%
(/.f64 1/6 beta)
49.05%
(*.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 alpha 2) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
49.73%
(*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))
89.13%
1/36
Compiler

Compiled 387 to 281 computations (27.4% saved)

regimes77.0ms (0.4%)

Counts
50 → 1
Calls
Call 1
Inputs
1/36
(/.f64 1/6 beta)
(/.f64 1/2 alpha)
(/.f64 1/2 beta)
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 1/6 (*.f64 1/36 beta)) (+.f64 beta 2))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (*.f64 beta (neg.f64 beta))))
(*.f64 (+.f64 1/6 (*.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (-.f64 -1 beta) (neg.f64 (*.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 alpha 2) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha 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 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 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 alpha (*.f64 beta alpha)) (/.f64 (*.f64 beta beta) (+.f64 beta -1))) (/.f64 1 (+.f64 beta -1))) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(pow.f64 beta -2)
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))
(/.f64 (+.f64 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)))))
Outputs
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
Calls

3 calls:

24.0ms
beta
23.0ms
alpha
14.0ms
(/.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
0.12%1alpha
0.12%1beta
0.12%1(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
Compiler

Compiled 700 to 457 computations (34.7% saved)

regimes103.0ms (0.5%)

Counts
42 → 2
Calls
Call 1
Inputs
1/36
(/.f64 1/6 beta)
(/.f64 1/2 alpha)
(/.f64 1/2 beta)
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 1/6 (*.f64 1/36 beta)) (+.f64 beta 2))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (*.f64 beta (neg.f64 beta))))
(*.f64 (+.f64 1/6 (*.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (-.f64 -1 beta) (neg.f64 (*.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 alpha 2) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha 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))))
Outputs
(/.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 alpha beta)) (+.f64 alpha (+.f64 beta 3)))
Calls

2 calls:

54.0ms
alpha
37.0ms
beta
Results
ErrorSegmentsBranch
0.38%2alpha
0.09%2beta
Compiler

Compiled 462 to 307 computations (33.5% saved)

bsearch15.0ms (0.1%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
15.0ms
7.546350724831513e+55
3.2333841023389593e+56
Results
14.0ms96×body256valid
Compiler

Compiled 306 to 214 computations (30.1% saved)

regimes85.0ms (0.5%)

Counts
41 → 2
Calls
Call 1
Inputs
1/36
(/.f64 1/6 beta)
(/.f64 1/2 alpha)
(/.f64 1/2 beta)
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 1/6 (*.f64 1/36 beta)) (+.f64 beta 2))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (*.f64 beta (neg.f64 beta))))
(*.f64 (+.f64 1/6 (*.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (-.f64 -1 beta) (neg.f64 (*.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (+.f64 beta 1) (/.f64 (+.f64 alpha 2) (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
Outputs
(/.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 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
Calls

2 calls:

37.0ms
beta
37.0ms
alpha
Results
ErrorSegmentsBranch
1.4%2alpha
1.02%2beta
Compiler

Compiled 437 to 291 computations (33.4% saved)

bsearch20.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
0.027667305799965437
101.76018714237092
Results
18.0ms128×body256valid
Compiler

Compiled 378 to 276 computations (27% saved)

regimes77.0ms (0.4%)

Counts
35 → 2
Calls
Call 1
Inputs
1/36
(/.f64 1/6 beta)
(/.f64 1/2 alpha)
(/.f64 1/2 beta)
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 1/6 (*.f64 1/36 beta)) (+.f64 beta 2))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (*.f64 beta (neg.f64 beta))))
(*.f64 (+.f64 1/6 (*.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (-.f64 -1 beta) (neg.f64 (*.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
Outputs
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
Calls

2 calls:

35.0ms
alpha
31.0ms
beta
Results
ErrorSegmentsBranch
1.4%2alpha
1.03%2beta
Compiler

Compiled 313 to 209 computations (33.2% saved)

bsearch22.0ms (0.1%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
21.0ms
101.76018714237092
24726844053.83101
Results
20.0ms128×body256valid
Compiler

Compiled 378 to 284 computations (24.9% saved)

regimes74.0ms (0.4%)

Counts
34 → 2
Calls
Call 1
Inputs
1/36
(/.f64 1/6 beta)
(/.f64 1/2 alpha)
(/.f64 1/2 beta)
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 1/6 (*.f64 1/36 beta)) (+.f64 beta 2))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (*.f64 beta (neg.f64 beta))))
(*.f64 (+.f64 1/6 (*.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (-.f64 -1 beta) (neg.f64 (*.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
Outputs
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
Calls

2 calls:

36.0ms
beta
30.0ms
alpha
Results
ErrorSegmentsBranch
7.46%2alpha
1.03%2beta
Compiler

Compiled 294 to 195 computations (33.7% saved)

bsearch28.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
101.76018714237092
24726844053.83101
Results
26.0ms144×body256valid
Compiler

Compiled 402 to 298 computations (25.9% saved)

regimes67.0ms (0.4%)

Counts
33 → 2
Calls
Call 1
Inputs
1/36
(/.f64 1/6 beta)
(/.f64 1/2 alpha)
(/.f64 1/2 beta)
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 1/6 (*.f64 1/36 beta)) (+.f64 beta 2))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (*.f64 beta (neg.f64 beta))))
(*.f64 (+.f64 1/6 (*.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (-.f64 -1 beta) (neg.f64 (*.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
Outputs
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3)))
Calls

2 calls:

31.0ms
beta
28.0ms
alpha
Results
ErrorSegmentsBranch
7.58%2alpha
1.21%2beta
Compiler

Compiled 277 to 183 computations (33.9% saved)

bsearch18.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
109254178356.9365
22019222993984.836
Results
16.0ms112×body256valid
Compiler

Compiled 294 to 210 computations (28.6% saved)

regimes99.0ms (0.5%)

Counts
32 → 2
Calls
Call 1
Inputs
1/36
(/.f64 1/6 beta)
(/.f64 1/2 alpha)
(/.f64 1/2 beta)
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 1/6 (*.f64 1/36 beta)) (+.f64 beta 2))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (*.f64 beta (neg.f64 beta))))
(*.f64 (+.f64 1/6 (*.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (-.f64 -1 beta) (neg.f64 (*.f64 (*.f64 beta beta) (+.f64 beta (+.f64 alpha 7)))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
Outputs
(*.f64 (+.f64 1/6 (*.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3)))
Calls

2 calls:

32.0ms
beta
26.0ms
alpha
Results
ErrorSegmentsBranch
28.64%2alpha
2.04%2beta
Compiler

Compiled 260 to 172 computations (33.8% saved)

bsearch36.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
36.0ms
0.027667305799965437
101.76018714237092
Results
34.0ms128×body256valid
Compiler

Compiled 298 to 220 computations (26.2% saved)

regimes58.0ms (0.3%)

Counts
29 → 2
Calls
Call 1
Inputs
1/36
(/.f64 1/6 beta)
(/.f64 1/2 alpha)
(/.f64 1/2 beta)
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 1/6 (*.f64 1/36 beta)) (+.f64 beta 2))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (*.f64 beta (neg.f64 beta))))
(*.f64 (+.f64 1/6 (*.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))
Outputs
(*.f64 (+.f64 1/6 (*.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
Calls

2 calls:

26.0ms
beta
26.0ms
alpha
Results
ErrorSegmentsBranch
28.64%2alpha
2.04%2beta
Compiler

Compiled 218 to 147 computations (32.6% saved)

bsearch19.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
0.027667305799965437
101.76018714237092
Results
17.0ms128×body256valid
Compiler

Compiled 282 to 212 computations (24.8% saved)

regimes86.0ms (0.5%)

Counts
27 → 2
Calls
Call 1
Inputs
1/36
(/.f64 1/6 beta)
(/.f64 1/2 alpha)
(/.f64 1/2 beta)
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 1/6 (*.f64 1/36 beta)) (+.f64 beta 2))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (*.f64 beta (neg.f64 beta))))
Outputs
(/.f64 (+.f64 1/6 (*.f64 1/36 beta)) (+.f64 beta 2))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
Calls

2 calls:

45.0ms
alpha
24.0ms
beta
Results
ErrorSegmentsBranch
28.64%2alpha
2.09%2beta
Compiler

Compiled 192 to 127 computations (33.9% saved)

bsearch19.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
0.027667305799965437
101.76018714237092
Results
17.0ms128×body256valid
Compiler

Compiled 250 to 188 computations (24.8% saved)

regimes79.0ms (0.4%)

Counts
24 → 2
Calls
Call 1
Inputs
1/36
(/.f64 1/6 beta)
(/.f64 1/2 alpha)
(/.f64 1/2 beta)
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 1/6 (*.f64 1/36 beta)) (+.f64 beta 2))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 2))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
Outputs
(/.f64 (+.f64 1/6 (*.f64 1/36 beta)) (+.f64 beta 2))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
Calls

2 calls:

50.0ms
beta
22.0ms
alpha
Results
ErrorSegmentsBranch
28.75%2alpha
2.13%2beta
Compiler

Compiled 158 to 105 computations (33.5% saved)

bsearch20.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
0.027667305799965437
101.76018714237092
Results
17.0ms128×body256valid
Compiler

Compiled 218 to 164 computations (24.8% saved)

regimes65.0ms (0.3%)

Counts
19 → 2
Calls
Call 1
Inputs
1/36
(/.f64 1/6 beta)
(/.f64 1/2 alpha)
(/.f64 1/2 beta)
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
Outputs
(*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
Calls

2 calls:

41.0ms
alpha
20.0ms
beta
Results
ErrorSegmentsBranch
28.75%2alpha
2.22%2beta
Compiler

Compiled 109 to 71 computations (34.9% saved)

bsearch20.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
0.027667305799965437
101.76018714237092
Results
18.0ms128×body256valid
Compiler

Compiled 218 to 164 computations (24.8% saved)

regimes38.0ms (0.2%)

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

2 calls:

17.0ms
beta
17.0ms
alpha
Results
ErrorSegmentsBranch
28.79%2alpha
2.23%2beta
Compiler

Compiled 100 to 64 computations (36% saved)

bsearch20.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
0.027667305799965437
101.76018714237092
Results
18.0ms128×body256valid
Compiler

Compiled 202 to 156 computations (22.8% saved)

regimes72.0ms (0.4%)

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

2 calls:

51.0ms
beta
17.0ms
alpha
Results
ErrorSegmentsBranch
30.51%2alpha
3.99%2beta
Compiler

Compiled 93 to 60 computations (35.5% saved)

bsearch48.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
48.0ms
0.027667305799965437
101.76018714237092
Results
46.0ms128×body256valid
Compiler

Compiled 202 to 156 computations (22.8% saved)

regimes39.0ms (0.2%)

Counts
14 → 2
Calls
Call 1
Inputs
1/36
(/.f64 1/6 beta)
(/.f64 1/2 alpha)
(/.f64 1/2 beta)
(/.f64 1 beta)
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 (/.f64 alpha beta) beta)
(*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))
(/.f64 1/2 (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
Outputs
(*.f64 1/6 (/.f64 1 (+.f64 2 alpha)))
(/.f64 (/.f64 1 beta) beta)
Calls

2 calls:

21.0ms
alpha
15.0ms
beta
Results
ErrorSegmentsBranch
29.55%3alpha
7.66%2beta
Compiler

Compiled 72 to 48 computations (33.3% saved)

bsearch21.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
0.027667305799965437
101.76018714237092
Results
19.0ms128×body256valid
Compiler

Compiled 186 to 148 computations (20.4% saved)

regimes70.0ms (0.4%)

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

2 calls:

49.0ms
beta
18.0ms
alpha
Results
ErrorSegmentsBranch
29.55%3alpha
7.66%2beta
Compiler

Compiled 51 to 32 computations (37.3% saved)

bsearch19.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
0.027667305799965437
101.76018714237092
Results
17.0ms128×body256valid
Compiler

Compiled 170 to 132 computations (22.4% saved)

regimes80.0ms (0.4%)

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

2 calls:

58.0ms
beta
20.0ms
alpha
Results
ErrorSegmentsBranch
31.28%3alpha
7.96%2beta
Compiler

Compiled 41 to 27 computations (34.1% saved)

bsearch20.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
0.027667305799965437
101.76018714237092
Results
17.0ms128×body256valid
Compiler

Compiled 170 to 132 computations (22.4% saved)

regimes11.0ms (0.1%)

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

2 calls:

5.0ms
beta
5.0ms
alpha
Results
ErrorSegmentsBranch
48.4%1alpha
48.4%1beta
Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes44.0ms (0.2%)

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

2 calls:

38.0ms
beta
5.0ms
alpha
Results
ErrorSegmentsBranch
49.73%1alpha
49.73%1beta
Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes10.0ms (0.1%)

Accuracy

Total -5.5b remaining (-9.6%)

Threshold costs -5.5b (-9.6%)

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

2 calls:

5.0ms
alpha
4.0ms
beta
Results
ErrorSegmentsBranch
89.13%1alpha
89.13%1beta
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify28.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01191183
11531183
21621183
31701183
41741183
51751183
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 320000000000000003275221446530736367881740420330391863296) (/.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 alpha beta)) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 7385903388887613/9007199254740992) (/.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 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 10000000000) (*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 54000000) (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta))))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 22000000000000) (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta))))) (/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3715469692580659/1125899906842624) (*.f64 (+.f64 1/6 (*.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 7656119366529843/2251799813685248) (*.f64 (+.f64 1/6 (*.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 13/4) (/.f64 (+.f64 1/6 (*.f64 1/36 beta)) (+.f64 beta 2)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 5) (/.f64 (+.f64 1/6 (*.f64 1/36 beta)) (+.f64 beta 2)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 15/2) (*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 8106479329266893/2251799813685248) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 4) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(if (<=.f64 beta 4165829655317709/1125899906842624) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 8782019273372467/2251799813685248) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 4) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 1 (*.f64 beta beta)))
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/6 (+.f64 2 alpha))
1/36
Outputs
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)))) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 320000000000000003275221446530736367881740420330391863296) (/.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 alpha beta)) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 320000000000000003275221446530736367881740420330391863296) (/.f64 (/.f64 (*.f64 (+.f64 alpha 1) (+.f64 1 beta)) (+.f64 3 (+.f64 alpha beta))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 7385903388887613/9007199254740992) (/.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 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 7385903388887613/9007199254740992) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 3 (+.f64 alpha beta)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 10000000000) (*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)) (+.f64 2 beta)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 10000000000) (*.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (+.f64 beta 2)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 54000000) (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta))))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 54000000) (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 alpha beta))))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 22000000000000) (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta))))) (/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 22000000000000) (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (-.f64 -2 (+.f64 alpha beta))))) (/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3715469692580659/1125899906842624) (*.f64 (+.f64 1/6 (*.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3715469692580659/1125899906842624) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 1/6 (*.f64 beta 1/36))) (/.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 7656119366529843/2251799813685248) (*.f64 (+.f64 1/6 (*.f64 beta 1/36)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 7656119366529843/2251799813685248) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (+.f64 1/6 (*.f64 beta 1/36))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 13/4) (/.f64 (+.f64 1/6 (*.f64 1/36 beta)) (+.f64 beta 2)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 13/4) (/.f64 (+.f64 1/6 (*.f64 beta 1/36)) (+.f64 beta 2)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 5) (/.f64 (+.f64 1/6 (*.f64 1/36 beta)) (+.f64 beta 2)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 5) (/.f64 (+.f64 1/6 (*.f64 beta 1/36)) (+.f64 beta 2)) (/.f64 (/.f64 (+.f64 alpha 1) beta) beta))
(if (<=.f64 beta 15/2) (*.f64 1/6 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 15/2) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1/6) (/.f64 (/.f64 (+.f64 alpha 1) beta) beta))
(if (<=.f64 beta 8106479329266893/2251799813685248) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 8106479329266893/2251799813685248) (*.f64 1/6 (/.f64 1 (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 alpha 1) beta) beta))
(if (<=.f64 beta 4) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(if (<=.f64 beta 4) (*.f64 1/6 (/.f64 1 (+.f64 alpha 2))) (/.f64 (+.f64 alpha 1) (*.f64 beta beta)))
(if (<=.f64 beta 4165829655317709/1125899906842624) (*.f64 1/6 (/.f64 1 (+.f64 2 alpha))) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 4165829655317709/1125899906842624) (*.f64 1/6 (/.f64 1 (+.f64 alpha 2))) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 8782019273372467/2251799813685248) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 8782019273372467/2251799813685248) (/.f64 1/6 (+.f64 alpha 2)) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 4) (/.f64 1/6 (+.f64 2 alpha)) (/.f64 1 (*.f64 beta beta)))
(if (<=.f64 beta 4) (/.f64 1/6 (+.f64 alpha 2)) (/.f64 1 (*.f64 beta beta)))
(/.f64 1/6 (+.f64 beta 2))
(/.f64 1/6 (+.f64 2 alpha))
(/.f64 1/6 (+.f64 alpha 2))
1/36
Compiler

Compiled 470 to 343 computations (27% saved)

soundness1.6s (8.4%)

Algorithm
egg-herbie
Rules
8048×associate-+r+
8048×associate-+r+
2246×associate-/l*
2246×associate-/l*
1374×*-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
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
node limit
Compiler

Compiled 179 to 105 computations (41.3% saved)

end685.0ms (3.6%)

Compiler

Compiled 522 to 361 computations (30.8% saved)

Profiling

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