Details

Time bar (total: 21.2s)

analyze80.0ms (0.4%)

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

Compiled 44 to 29 computations (34.1% saved)

sample1.4s (6.7%)

Results
1.4s8256×body256valid
Bogosity

preprocess377.0ms (1.8%)

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

Useful iterations: 0 (0.0ms)

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

(sort alpha beta)

Compiler

Compiled 39 to 26 computations (33.3% saved)

simplify679.0ms (3.2%)

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

Useful iterations: 3 (0.0ms)

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

eval3.0ms (0%)

Compiler

Compiled 241 to 150 computations (37.8% saved)

prune3.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New549
Fresh101
Picked000
Done000
Total6410
Error
0.08%
Counts
10 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.18%
(/.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)))
5.96%
(/.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))))
16.71%
(/.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)))
3.37%
(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
Compiler

Compiled 109 to 74 computations (32.1% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.04%
(/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))
0.04%
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
0.21%
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1))
3.32%
(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
Compiler

Compiled 87 to 53 computations (39.1% saved)

series25.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
8.0ms
beta
@0
(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
2.0ms
alpha
@0
(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
2.0ms
alpha
@-inf
(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
2.0ms
beta
@-inf
(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
2.0ms
beta
@inf
(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

rewrite141.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
017142
1422142
26874142
Stop Event
node limit
Counts
4 → 192
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3)) (+.f64 beta 1))
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 1 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 beta) (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (*.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (neg.f64 (+.f64 1 beta))) (/.f64 1 (neg.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) 1) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 1) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (+.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (-.f64 alpha beta) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (+.f64 1 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) 1) (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) (+.f64 1 beta))) (pow.f64 (+.f64 beta (+.f64 alpha 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3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha (+.f64 beta 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))))))

simplify195.0ms (0.9%)

Algorithm
egg-herbie
Rules
1706×associate-*r*
1588×associate-*l*
1408×+-commutative
1156×associate-+r+
884×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
095923816
1340823152
Stop Event
node limit
Counts
288 → 507
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
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1
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1
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(/.f64 (+.f64 1 alpha) beta)
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(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 1)) -1)
(neg.f64 (/.f64 (+.f64 alpha 1) (+.f64 (neg.f64 (+.f64 alpha beta)) -3)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha (+.f64 beta 3)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha (+.f64 beta 3)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))
Outputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 alpha (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))))))
(+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 alpha (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))))) (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) alpha (neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (+.f64 (*.f64 beta 2) 7)) (pow.f64 (+.f64 beta 2) 4)))))))))
(+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) alpha (neg.f64 (*.f64 alpha (*.f64 alpha (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (*.f64 beta 2) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 4))))))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (fma.f64 -1 (*.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (+.f64 (*.f64 beta 2) 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 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta (+.f64 (*.f64 beta 2) 7)))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) alpha (neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (+.f64 (*.f64 beta 2) 7)) (pow.f64 (+.f64 beta 2) 4))))))))))
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (fma.f64 -1 (*.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (*.f64 beta 2) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 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 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (+.f64 beta 3)) (/.f64 (+.f64 (*.f64 beta 2) (+.f64 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 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) alpha (neg.f64 (*.f64 alpha (*.f64 alpha (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (*.f64 beta 2) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 4)))))))))))
(/.f64 (+.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 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 beta 2) 7)) (+.f64 beta 1)) (pow.f64 alpha 3)))
(+.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3)))) (-.f64 (/.f64 beta (pow.f64 alpha 3)) (/.f64 (*.f64 (+.f64 (*.f64 beta 2) (+.f64 beta 7)) (+.f64 beta 1)) (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 beta (pow.f64 alpha 3)) (-.f64 (+.f64 (/.f64 beta (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 beta (-.f64 1 (*.f64 (+.f64 beta (+.f64 (*.f64 beta 2) 7)) (+.f64 beta 1)))) (+.f64 beta (+.f64 (*.f64 beta 2) 7)) (*.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 1))) (pow.f64 alpha 4)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 beta 2) 7)) (+.f64 beta 1)) (pow.f64 alpha 3))))
(+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (*.f64 alpha alpha)) (-.f64 (fma.f64 -1 (/.f64 (fma.f64 (+.f64 1 (+.f64 beta (*.f64 (+.f64 (*.f64 beta 2) (+.f64 beta 7)) (-.f64 -1 beta)))) (+.f64 (*.f64 beta 2) (+.f64 beta 7)) (*.f64 (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 1))) (pow.f64 alpha 4)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3)))) (/.f64 (*.f64 (+.f64 (*.f64 beta 2) (+.f64 beta 7)) (+.f64 beta 1)) (pow.f64 alpha 3)))))
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(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 27 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 9 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 3 (+.f64 beta alpha)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 (+.f64 beta 3) alpha)))
(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 3 (+.f64 beta alpha))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 3) alpha)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (+.f64 (+.f64 beta 3) alpha))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 beta alpha))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (+.f64 3 (+.f64 beta alpha)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 (+.f64 beta 3) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 3 (+.f64 beta alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 (+.f64 (+.f64 beta 3) alpha))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 (+.f64 (+.f64 beta 3) alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 (+.f64 3 (+.f64 beta alpha)))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 (+.f64 3 (+.f64 beta alpha)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 3) alpha)) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 beta alpha))) 2)))
(pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 1)
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))) 2)
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))) 3)
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 3) 1/3)
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha 1)) -1)
(/.f64 1 (/.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 1 alpha)))
(/.f64 1 (/.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 1 alpha)))
(neg.f64 (/.f64 (+.f64 alpha 1) (+.f64 (neg.f64 (+.f64 alpha beta)) -3)))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -3)))
(/.f64 (-.f64 -1 alpha) (-.f64 -3 (+.f64 beta alpha)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))))))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3))) 3))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha (+.f64 beta 3)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 (+.f64 beta 3) alpha))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 3 (+.f64 beta alpha)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 alpha (+.f64 beta 3)))) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 (+.f64 beta 3) alpha))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (+.f64 3 (+.f64 beta alpha)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 3)))))
(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 beta alpha)))

localize44.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.06%
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3)))
0.1%
(*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2))
16.53%
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
Compiler

Compiled 95 to 51 computations (46.3% saved)

series11.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite120.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
018155
1432131
26775131
Stop Event
node limit
Counts
3 → 176
Calls
Call 1
Inputs
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
(*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2))
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 2) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) 2) (*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) (/.f64 1 (neg.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 2)) (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 beta (-.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (-.f64 (+.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (*.f64 (+.f64 alpha beta) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) 1) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) (*.f64 (+.f64 beta (+.f64 alpha 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 2)) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) 2) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) 2) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 2)) (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 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2)) (+.f64 alpha (+.f64 beta 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 beta (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 beta (+.f64 alpha 2)) beta (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)))))))

simplify268.0ms (1.3%)

Algorithm
egg-herbie
Rules
1330×associate-*r*
1228×associate-*l*
1102×+-commutative
976×*-commutative
778×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075520826
1272619822
Stop Event
node limit
Counts
248 → 399
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
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(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 alpha) 1) (pow.f64 beta 2)))
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(*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))
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(pow.f64 alpha 3)
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(pow.f64 alpha 3)
(+.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (pow.f64 alpha 2)) (pow.f64 alpha 3))
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(*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))
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(+.f64 (*.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))))))
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(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))))))
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(pow.f64 beta 3)
(+.f64 (pow.f64 beta 3) (*.f64 (pow.f64 beta 2) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))
(+.f64 (pow.f64 beta 3) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 (pow.f64 beta 3) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))))
(*.f64 (+.f64 beta 3) (+.f64 beta 2))
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(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) (+.f64 beta (-.f64 alpha 2)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) (-.f64 (+.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (*.f64 (+.f64 alpha beta) 2)))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))))) (*.f64 (*.f64 2 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) (*.f64 2 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))) (-.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) (*.f64 2 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) 3) (pow.f64 (*.f64 2 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) 3)) (+.f64 (*.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))))) (-.f64 (*.f64 (*.f64 2 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) (*.f64 2 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))))) (*.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) (*.f64 2 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))))))))
(pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) 2))
(log.f64 (exp.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(exp.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(fma.f64 (+.f64 alpha beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))) (*.f64 2 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))
(fma.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))) (+.f64 alpha beta) (*.f64 2 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))
(+.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)))
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)) (*.f64 beta (+.f64 beta (+.f64 alpha 2))))
(+.f64 (*.f64 alpha beta) (+.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3))))
(+.f64 (*.f64 alpha beta) (+.f64 (*.f64 (+.f64 beta 2) beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3))))
(+.f64 (*.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))) (*.f64 3 (+.f64 beta (+.f64 alpha 2))))
(+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta 3))) (*.f64 2 (+.f64 alpha (+.f64 beta 3))))
(+.f64 (*.f64 2 (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 beta 3))))
(+.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha beta)) (*.f64 (+.f64 alpha (+.f64 beta 3)) 2))
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) 3))
(+.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) 2) (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 alpha beta)))
(+.f64 (*.f64 (+.f64 alpha beta) beta) (+.f64 (*.f64 2 beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3))))
(+.f64 (*.f64 beta (+.f64 alpha beta)) (+.f64 (*.f64 beta 2) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3))))
(+.f64 (*.f64 beta 2) (+.f64 (*.f64 beta (+.f64 alpha beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3))))
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha) (+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) 3) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 (+.f64 alpha 3) alpha) (+.f64 (*.f64 (+.f64 alpha 3) (+.f64 beta 2)) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 (+.f64 alpha 3) (+.f64 alpha beta)) (+.f64 (*.f64 (+.f64 alpha 3) 2) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 (+.f64 alpha 3) 2) (+.f64 (*.f64 (+.f64 alpha 3) (+.f64 alpha beta)) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) 3) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha beta)))
(+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) 3) (+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) alpha) (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta 2)))
(+.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 beta 3)) alpha))
(+.f64 (*.f64 2 beta) (+.f64 (*.f64 (+.f64 alpha beta) beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3))))
(+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 3 (+.f64 beta (+.f64 alpha 2))) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 alpha (+.f64 alpha 3)) (+.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha 3)) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha 3)) (+.f64 (*.f64 2 (+.f64 alpha 3)) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 2 (+.f64 alpha 3)) (+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha 3)) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 3 (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))))
(+.f64 (*.f64 3 (+.f64 beta (+.f64 alpha 2))) (+.f64 (*.f64 alpha (+.f64 beta (+.f64 alpha 2))) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))))
(+.f64 (*.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) 1) (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)) 1))
(+.f64 (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)) 1) (*.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) 1))
(+.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 3))) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))))
(+.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))) (*.f64 alpha (+.f64 alpha (+.f64 beta 3))))
(+.f64 (+.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha)) (*.f64 (+.f64 beta (+.f64 alpha 2)) 3))
(+.f64 (+.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 alpha 3) alpha)) (*.f64 (+.f64 alpha 3) (+.f64 beta 2)))
(+.f64 (+.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 alpha 3) (+.f64 alpha beta))) (*.f64 (+.f64 alpha 3) 2))
(+.f64 (+.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 alpha 3) 2)) (*.f64 (+.f64 alpha 3) (+.f64 alpha beta)))
(+.f64 (+.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) 3)) (*.f64 (+.f64 beta (+.f64 alpha 2)) alpha))
(+.f64 (+.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2)))) (*.f64 3 (+.f64 beta (+.f64 alpha 2))))
(+.f64 (+.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 alpha (+.f64 alpha 3))) (*.f64 (+.f64 beta 2) (+.f64 alpha 3)))
(+.f64 (+.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 alpha beta) (+.f64 alpha 3))) (*.f64 2 (+.f64 alpha 3)))
(+.f64 (+.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 2 (+.f64 alpha 3))) (*.f64 (+.f64 alpha beta) (+.f64 alpha 3)))
(+.f64 (+.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 3 (+.f64 beta (+.f64 alpha 2)))) (*.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(+.f64 (+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)) (*.f64 alpha beta)) (*.f64 beta (+.f64 beta 2)))
(+.f64 (+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)) (*.f64 alpha beta)) (*.f64 (+.f64 beta 2) beta))
(+.f64 (+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)) (*.f64 (+.f64 alpha beta) beta)) (*.f64 2 beta))
(+.f64 (+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)) (*.f64 beta (+.f64 alpha beta))) (*.f64 beta 2))
(+.f64 (+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)) (*.f64 beta 2)) (*.f64 beta (+.f64 alpha beta)))
(+.f64 (+.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)) (*.f64 2 beta)) (*.f64 (+.f64 alpha beta) beta))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))))) 1)
(/.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2))) (-.f64 beta (+.f64 alpha 3)))
(/.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 3) (-.f64 (+.f64 alpha 3) beta))))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (+.f64 beta (-.f64 alpha 2)))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (-.f64 (+.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (*.f64 (+.f64 alpha beta) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 alpha (+.f64 beta 3))) (+.f64 beta (-.f64 alpha 2)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 alpha (+.f64 beta 3))) (-.f64 (+.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (*.f64 (+.f64 alpha beta) 2)))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 beta (+.f64 alpha 2))) (-.f64 beta (+.f64 alpha 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (+.f64 beta (+.f64 alpha 2))) (fma.f64 beta beta (*.f64 (+.f64 alpha 3) (-.f64 (+.f64 alpha 3) beta))))
(/.f64 (-.f64 (*.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))) (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)))) (-.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3))))
(/.f64 (+.f64 (pow.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) 3) (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)) 3)) (+.f64 (*.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 beta (+.f64 beta (+.f64 alpha 2)))) (-.f64 (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3))) (*.f64 (*.f64 beta (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2))) (*.f64 (+.f64 beta (-.f64 alpha 2)) (-.f64 beta (+.f64 alpha 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3))) (*.f64 (+.f64 beta (-.f64 alpha 2)) (fma.f64 beta beta (*.f64 (+.f64 alpha 3) (-.f64 (+.f64 alpha 3) beta)))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2))) (*.f64 (-.f64 (+.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (*.f64 (+.f64 alpha beta) 2)) (-.f64 beta (+.f64 alpha 3))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3))) (*.f64 (-.f64 (+.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (*.f64 (+.f64 alpha beta) 2)) (fma.f64 beta beta (*.f64 (+.f64 alpha 3) (-.f64 (+.f64 alpha 3) beta)))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (*.f64 (-.f64 beta (+.f64 alpha 3)) (+.f64 beta (-.f64 alpha 2))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (*.f64 (-.f64 beta (+.f64 alpha 3)) (-.f64 (+.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (*.f64 (+.f64 alpha beta) 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 3) (-.f64 (+.f64 alpha 3) beta))) (+.f64 beta (-.f64 alpha 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 3) (-.f64 (+.f64 alpha 3) beta))) (-.f64 (+.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (*.f64 (+.f64 alpha beta) 2))))
(pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))
(exp.f64 (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))
(fma.f64 beta (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)))
(fma.f64 (+.f64 beta (+.f64 alpha 2)) beta (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)))
Outputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 alpha (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))))))
(+.f64 (/.f64 (/.f64 beta (+.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 (+.f64 beta 1) (*.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))))))
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(/.f64 (*.f64 (+.f64 8 (pow.f64 (+.f64 alpha beta) 3)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3))) (*.f64 (-.f64 (+.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (*.f64 (+.f64 alpha beta) 2)) (fma.f64 beta beta (*.f64 (+.f64 alpha 3) (-.f64 (+.f64 alpha 3) beta)))))
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(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 3)) (fma.f64 beta beta (*.f64 (+.f64 3 alpha) (+.f64 3 (-.f64 alpha beta))))) (/.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (*.f64 (-.f64 beta (+.f64 alpha 3)) (+.f64 beta (-.f64 alpha 2))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (+.f64 alpha -2))) (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 3 alpha) 2)) (-.f64 beta (+.f64 3 alpha))))
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (+.f64 alpha -2))) (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 3 alpha) 2)) (-.f64 (-.f64 beta 3) alpha)))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (*.f64 (-.f64 beta (+.f64 alpha 3)) (-.f64 (+.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (*.f64 (+.f64 alpha beta) 2))))
(*.f64 (/.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 2 (+.f64 beta alpha))))) (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 3 alpha) 2)) (-.f64 beta (+.f64 3 alpha))))
(*.f64 (/.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))))) (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 3 alpha) 2)) (-.f64 (-.f64 beta 3) alpha)))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) -4)) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 3) (-.f64 (+.f64 alpha 3) beta))) (+.f64 beta (-.f64 alpha 2))))
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 3)) (fma.f64 beta beta (*.f64 (+.f64 3 alpha) (+.f64 alpha (-.f64 3 beta))))) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (+.f64 alpha -2))))
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 3)) (fma.f64 beta beta (*.f64 (+.f64 3 alpha) (+.f64 3 (-.f64 alpha beta))))) (/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) -4) (+.f64 beta (+.f64 alpha -2))))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3)) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha 3) (-.f64 (+.f64 alpha 3) beta))) (-.f64 (+.f64 4 (pow.f64 (+.f64 alpha beta) 2)) (*.f64 (+.f64 alpha beta) 2))))
(/.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (/.f64 (*.f64 (+.f64 4 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 2 (+.f64 beta alpha)))) (fma.f64 beta beta (*.f64 (+.f64 3 alpha) (+.f64 alpha (-.f64 3 beta))))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 3))))
(*.f64 (/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 alpha) 3)) (fma.f64 beta beta (*.f64 (+.f64 3 alpha) (+.f64 3 (-.f64 alpha beta))))) (/.f64 (+.f64 8 (pow.f64 (+.f64 beta alpha) 3)) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha -2))))))
(pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))) 1)
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) 2)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))) 2)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) 3)
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))) 3) 1/3)
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha))) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta (+.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (log.f64 (exp.f64 (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (+.f64 beta (+.f64 3 alpha)) (log.f64 (exp.f64 (+.f64 beta (+.f64 2 alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))))))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3))) 3))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))
(exp.f64 (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))) 1))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))
(fma.f64 beta (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))
(fma.f64 (+.f64 beta (+.f64 alpha 2)) beta (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 alpha 3)))
(*.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta (+.f64 2 alpha)))

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.02%
(*.f64 (+.f64 beta 1) (+.f64 alpha 1))
0.04%
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
3.32%
(/.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))))
4.86%
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))
Compiler

Compiled 85 to 53 computations (37.6% saved)

series8.0ms (0%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
3.0ms
alpha
@0
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms
beta
@0
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
0.0ms
beta
@-inf
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
0.0ms
alpha
@-inf
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
0.0ms
beta
@inf
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

rewrite166.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
017117
1419117
26742117
Stop Event
node limit
Counts
3 → 160
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 beta 1) (+.f64 alpha 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (*.f64 (+.f64 1 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (*.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (*.f64 (+.f64 beta 1) (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) (neg.f64 (+.f64 1 alpha))) (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) -9)) (+.f64 beta (-.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 27 (pow.f64 (+.f64 beta alpha) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) 9) (*.f64 (+.f64 beta alpha) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (+.f64 beta 1) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 1) (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 beta 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(+.f64 1 (pow.f64 alpha 3))) (*.f64 (fma.f64 beta beta (-.f64 1 beta)) (fma.f64 alpha alpha (-.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 alpha alpha -1) (fma.f64 beta beta -1)) (*.f64 (+.f64 alpha -1) (+.f64 beta -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 alpha alpha -1) (+.f64 1 (pow.f64 beta 3))) (*.f64 (+.f64 alpha -1) (fma.f64 beta beta (-.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (fma.f64 beta beta -1)) (*.f64 (fma.f64 alpha alpha (-.f64 1 alpha)) (+.f64 beta -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 beta 1)) (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 1 alpha) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (+.f64 beta 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))))))) (#(struct:change #<rule 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))))))

simplify160.0ms (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))))))
(+.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))
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(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))
(pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) -1)
(neg.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 (neg.f64 (+.f64 beta alpha)) -3)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 3) (pow.f64 (+.f64 beta (+.f64 alpha 3)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))
(exp.f64 (-.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha)) (log1p.f64 (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (-.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha)) (log1p.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))))) 1)
(*.f64 1 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(*.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))
(*.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))) 1)
(*.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (*.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))) 2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))))))
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))
(*.f64 (/.f64 (*.f64 (+.f64 beta 1) (neg.f64 (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 3))) (/.f64 1 (neg.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 1) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2))) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 1) (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 2) (+.f64 beta (+.f64 alpha 2))) (/.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 2) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (cbrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))))))
(pow.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))) 3) 1/3)
(pow.f64 (*.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 beta 1)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))) -1)
(neg.f64 (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) (neg.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) 3) (pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))))))
(exp.f64 (-.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha)) (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(exp.f64 (*.f64 (-.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha)) (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))))))
(+.f64 beta (+.f64 1 (+.f64 alpha (*.f64 beta alpha))))
(+.f64 1 (+.f64 beta (+.f64 alpha (*.f64 beta alpha))))
(+.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta)))
(+.f64 1 (+.f64 alpha (*.f64 beta (+.f64 1 alpha))))
(+.f64 (+.f64 beta 1) (+.f64 alpha (*.f64 beta alpha)))
(+.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (*.f64 beta alpha)) 1))
(+.f64 alpha (+.f64 1 (*.f64 (+.f64 1 alpha) beta)))
(+.f64 alpha (+.f64 1 (*.f64 beta (+.f64 1 alpha))))
(+.f64 alpha (+.f64 (*.f64 beta alpha) (+.f64 beta 1)))
(+.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) beta))
(+.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 1 alpha)))
(+.f64 (+.f64 alpha (*.f64 beta alpha)) (+.f64 beta 1))
(+.f64 (*.f64 beta alpha) (+.f64 alpha (+.f64 beta 1)))
(+.f64 (+.f64 beta (+.f64 alpha (*.f64 beta alpha))) 1)
(+.f64 (+.f64 1 (+.f64 alpha (*.f64 beta alpha))) beta)
(+.f64 (*.f64 (+.f64 1 alpha) beta) (+.f64 1 alpha))
(+.f64 (*.f64 (+.f64 alpha (*.f64 beta alpha)) 1) (+.f64 beta 1))
(+.f64 (*.f64 beta (+.f64 1 alpha)) (+.f64 1 alpha))
(+.f64 (+.f64 1 (+.f64 beta alpha)) (*.f64 beta alpha))
(+.f64 (+.f64 (+.f64 beta 1) (*.f64 beta alpha)) alpha)
(+.f64 (+.f64 (*.f64 (+.f64 1 alpha) beta) 1) alpha)
(+.f64 (+.f64 (*.f64 (+.f64 1 alpha) beta) alpha) 1)
(+.f64 (+.f64 (*.f64 (+.f64 alpha (*.f64 beta alpha)) 1) beta) 1)
(+.f64 (+.f64 (*.f64 (+.f64 alpha (*.f64 beta alpha)) 1) 1) beta)
(+.f64 (+.f64 (*.f64 beta (+.f64 1 alpha)) 1) alpha)
(+.f64 (+.f64 (*.f64 beta (+.f64 1 alpha)) alpha) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)))) 1)
(-.f64 (+.f64 (+.f64 beta 2) (+.f64 alpha (*.f64 beta alpha))) 1)
(-.f64 (+.f64 (+.f64 alpha (*.f64 beta alpha)) (+.f64 beta 2)) 1)
(-.f64 (+.f64 (+.f64 alpha (*.f64 beta alpha)) (/.f64 (*.f64 beta beta) (+.f64 beta -1))) (/.f64 1 (+.f64 beta -1)))
(-.f64 (+.f64 (*.f64 (+.f64 1 alpha) beta) (exp.f64 (log.f64 (+.f64 alpha 2)))) 1)
(-.f64 (+.f64 (*.f64 (+.f64 1 alpha) beta) (/.f64 (*.f64 alpha alpha) (+.f64 alpha -1))) (/.f64 1 (+.f64 alpha -1)))
(-.f64 (+.f64 (*.f64 (+.f64 alpha (*.f64 beta alpha)) 1) (+.f64 beta 2)) 1)
(-.f64 (+.f64 (*.f64 (+.f64 alpha (*.f64 beta alpha)) 1) (/.f64 (*.f64 beta beta) (+.f64 beta -1))) (/.f64 1 (+.f64 beta -1)))
(-.f64 (+.f64 (*.f64 beta (+.f64 1 alpha)) (exp.f64 (log.f64 (+.f64 alpha 2)))) 1)
(-.f64 (+.f64 (*.f64 beta (+.f64 1 alpha)) (/.f64 (*.f64 alpha alpha) (+.f64 alpha -1))) (/.f64 1 (+.f64 alpha -1)))
(/.f64 (*.f64 (+.f64 beta 1) (fma.f64 alpha alpha -1)) (+.f64 alpha -1))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 (pow.f64 alpha 3))) (fma.f64 alpha alpha (-.f64 1 alpha)))
(/.f64 (*.f64 (+.f64 1 alpha) (fma.f64 beta beta -1)) (+.f64 beta -1))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 1 beta)))
(/.f64 (*.f64 (fma.f64 beta beta -1) (+.f64 1 alpha)) (+.f64 beta -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) (+.f64 1 alpha)) (fma.f64 beta beta (-.f64 1 beta)))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) (+.f64 beta 1)) (+.f64 alpha -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 beta 1)) (fma.f64 alpha alpha (-.f64 1 alpha)))
(/.f64 (-.f64 (*.f64 (+.f64 alpha (*.f64 beta alpha)) (+.f64 alpha (*.f64 beta alpha))) (pow.f64 (+.f64 beta 1) 2)) (-.f64 (+.f64 alpha (*.f64 beta alpha)) (+.f64 beta 1)))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 alpha (*.f64 beta alpha)) 3)) (-.f64 (+.f64 (*.f64 (+.f64 alpha (*.f64 beta alpha)) (+.f64 alpha (*.f64 beta alpha))) (pow.f64 (+.f64 beta 1) 2)) (*.f64 (+.f64 alpha (*.f64 beta alpha)) (+.f64 beta 1))))
(/.f64 (*.f64 (fma.f64 beta beta -1) (fma.f64 alpha alpha -1)) (*.f64 (+.f64 beta -1) (+.f64 alpha -1)))
(/.f64 (*.f64 (fma.f64 beta beta -1) (+.f64 1 (pow.f64 alpha 3))) (*.f64 (+.f64 beta -1) (fma.f64 alpha alpha (-.f64 1 alpha))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) (fma.f64 alpha alpha -1)) (*.f64 (fma.f64 beta beta (-.f64 1 beta)) (+.f64 alpha -1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) (+.f64 1 (pow.f64 alpha 3))) (*.f64 (fma.f64 beta beta (-.f64 1 beta)) (fma.f64 alpha alpha (-.f64 1 alpha))))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) (fma.f64 beta beta -1)) (*.f64 (+.f64 alpha -1) (+.f64 beta -1)))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) (+.f64 1 (pow.f64 beta 3))) (*.f64 (+.f64 alpha -1) (fma.f64 beta beta (-.f64 1 beta))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (fma.f64 beta beta -1)) (*.f64 (fma.f64 alpha alpha (-.f64 1 alpha)) (+.f64 beta -1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 1 (pow.f64 beta 3))) (*.f64 (fma.f64 alpha alpha (-.f64 1 alpha)) (fma.f64 beta beta (-.f64 1 beta))))
(pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 1)) (+.f64 1 alpha)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 1 alpha) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (+.f64 beta 1) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))))
(exp.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha)) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))))
(fma.f64 (+.f64 beta 1) alpha (+.f64 beta 1))
(fma.f64 alpha (+.f64 beta 1) (+.f64 beta 1))
Outputs
(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
(/.f64 (+.f64 1 alpha) (+.f64 alpha 3))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (+.f64 (/.f64 alpha (+.f64 3 alpha)) (*.f64 beta (-.f64 (+.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 alpha (+.f64 3 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)))))))
(+.f64 (/.f64 1 (+.f64 alpha 3)) (+.f64 (/.f64 alpha (+.f64 alpha 3)) (*.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 3)) (-.f64 (/.f64 alpha (+.f64 alpha 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 3) 2))))))))
(+.f64 (/.f64 alpha (+.f64 alpha 3)) (+.f64 (/.f64 1 (+.f64 alpha 3)) (*.f64 beta (+.f64 (/.f64 1 (+.f64 alpha 3)) (-.f64 (/.f64 alpha (+.f64 alpha 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 alpha 3) 2)) (/.f64 alpha (pow.f64 (+.f64 alpha 3) 2))))))))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
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(-.f64 (fma.f64 (+.f64 1 alpha) beta (/.f64 alpha (/.f64 (+.f64 alpha -1) alpha))) (/.f64 1 (+.f64 alpha -1)))
(/.f64 (*.f64 (+.f64 beta 1) (fma.f64 alpha alpha -1)) (+.f64 alpha -1))
(/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha -1) (fma.f64 alpha alpha -1)))
(/.f64 (fma.f64 alpha alpha -1) (/.f64 (+.f64 alpha -1) (+.f64 1 beta)))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 1 (pow.f64 alpha 3))) (fma.f64 alpha alpha (-.f64 1 alpha)))
(/.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (fma.f64 alpha alpha (-.f64 1 alpha)) (+.f64 1 beta)))
(/.f64 (+.f64 1 beta) (/.f64 (fma.f64 alpha alpha (-.f64 1 alpha)) (+.f64 1 (pow.f64 alpha 3))))
(/.f64 (*.f64 (+.f64 1 alpha) (fma.f64 beta beta -1)) (+.f64 beta -1))
(/.f64 (fma.f64 beta beta -1) (/.f64 (+.f64 beta -1) (+.f64 1 alpha)))
(/.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta -1) (fma.f64 beta beta -1)))
(/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 1 beta)))
(/.f64 (+.f64 1 alpha) (/.f64 (fma.f64 beta beta (-.f64 1 beta)) (+.f64 1 (pow.f64 beta 3))))
(/.f64 (*.f64 (fma.f64 beta beta -1) (+.f64 1 alpha)) (+.f64 beta -1))
(/.f64 (fma.f64 beta beta -1) (/.f64 (+.f64 beta -1) (+.f64 1 alpha)))
(/.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta -1) (fma.f64 beta beta -1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) (+.f64 1 alpha)) (fma.f64 beta beta (-.f64 1 beta)))
(/.f64 (+.f64 1 alpha) (/.f64 (fma.f64 beta beta (-.f64 1 beta)) (+.f64 1 (pow.f64 beta 3))))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) (+.f64 beta 1)) (+.f64 alpha -1))
(/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha -1) (fma.f64 alpha alpha -1)))
(/.f64 (fma.f64 alpha alpha -1) (/.f64 (+.f64 alpha -1) (+.f64 1 beta)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 beta 1)) (fma.f64 alpha alpha (-.f64 1 alpha)))
(/.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (fma.f64 alpha alpha (-.f64 1 alpha)) (+.f64 1 beta)))
(/.f64 (+.f64 1 beta) (/.f64 (fma.f64 alpha alpha (-.f64 1 alpha)) (+.f64 1 (pow.f64 alpha 3))))
(/.f64 (-.f64 (*.f64 (+.f64 alpha (*.f64 beta alpha)) (+.f64 alpha (*.f64 beta alpha))) (pow.f64 (+.f64 beta 1) 2)) (-.f64 (+.f64 alpha (*.f64 beta alpha)) (+.f64 beta 1)))
(/.f64 (-.f64 (*.f64 (+.f64 alpha (*.f64 alpha beta)) (+.f64 alpha (*.f64 alpha beta))) (pow.f64 (+.f64 1 beta) 2)) (+.f64 alpha (-.f64 (*.f64 alpha beta) (+.f64 1 beta))))
(/.f64 (-.f64 (*.f64 alpha (*.f64 alpha (pow.f64 (+.f64 1 beta) 2))) (pow.f64 (+.f64 1 beta) 2)) (+.f64 alpha (-.f64 (*.f64 alpha beta) (+.f64 1 beta))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 alpha (*.f64 beta alpha)) 3)) (-.f64 (+.f64 (*.f64 (+.f64 alpha (*.f64 beta alpha)) (+.f64 alpha (*.f64 beta alpha))) (pow.f64 (+.f64 beta 1) 2)) (*.f64 (+.f64 alpha (*.f64 beta alpha)) (+.f64 beta 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 beta) 3) (pow.f64 (+.f64 alpha (*.f64 alpha beta)) 3)) (-.f64 (fma.f64 (+.f64 alpha (*.f64 alpha beta)) (+.f64 alpha (*.f64 alpha beta)) (pow.f64 (+.f64 1 beta) 2)) (*.f64 (+.f64 1 beta) (+.f64 alpha (*.f64 alpha beta)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 beta) 3) (pow.f64 (*.f64 alpha (+.f64 1 beta)) 3)) (+.f64 (pow.f64 (+.f64 1 beta) 2) (-.f64 (*.f64 alpha (*.f64 alpha (pow.f64 (+.f64 1 beta) 2))) (*.f64 alpha (pow.f64 (+.f64 1 beta) 2)))))
(/.f64 (*.f64 (fma.f64 beta beta -1) (fma.f64 alpha alpha -1)) (*.f64 (+.f64 beta -1) (+.f64 alpha -1)))
(*.f64 (/.f64 (fma.f64 beta beta -1) (+.f64 beta -1)) (/.f64 (fma.f64 alpha alpha -1) (+.f64 alpha -1)))
(/.f64 (*.f64 (fma.f64 beta beta -1) (+.f64 1 (pow.f64 alpha 3))) (*.f64 (+.f64 beta -1) (fma.f64 alpha alpha (-.f64 1 alpha))))
(/.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (*.f64 (+.f64 beta -1) (fma.f64 alpha alpha (-.f64 1 alpha))) (fma.f64 beta beta -1)))
(/.f64 (fma.f64 beta beta -1) (/.f64 (fma.f64 alpha alpha (-.f64 1 alpha)) (/.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 beta -1))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) (fma.f64 alpha alpha -1)) (*.f64 (fma.f64 beta beta (-.f64 1 beta)) (+.f64 alpha -1)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 beta 3)) (fma.f64 beta beta (-.f64 1 beta))) (/.f64 (fma.f64 alpha alpha -1) (+.f64 alpha -1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) (+.f64 1 (pow.f64 alpha 3))) (*.f64 (fma.f64 beta beta (-.f64 1 beta)) (fma.f64 alpha alpha (-.f64 1 alpha))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 beta 3)) (fma.f64 beta beta (-.f64 1 beta))) (/.f64 (+.f64 1 (pow.f64 alpha 3)) (fma.f64 alpha alpha (-.f64 1 alpha))))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) (fma.f64 beta beta -1)) (*.f64 (+.f64 alpha -1) (+.f64 beta -1)))
(*.f64 (/.f64 (fma.f64 beta beta -1) (+.f64 beta -1)) (/.f64 (fma.f64 alpha alpha -1) (+.f64 alpha -1)))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) (+.f64 1 (pow.f64 beta 3))) (*.f64 (+.f64 alpha -1) (fma.f64 beta beta (-.f64 1 beta))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 beta 3)) (fma.f64 beta beta (-.f64 1 beta))) (/.f64 (fma.f64 alpha alpha -1) (+.f64 alpha -1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (fma.f64 beta beta -1)) (*.f64 (fma.f64 alpha alpha (-.f64 1 alpha)) (+.f64 beta -1)))
(/.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 (*.f64 (+.f64 beta -1) (fma.f64 alpha alpha (-.f64 1 alpha))) (fma.f64 beta beta -1)))
(/.f64 (fma.f64 beta beta -1) (/.f64 (fma.f64 alpha alpha (-.f64 1 alpha)) (/.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 beta -1))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 1 (pow.f64 beta 3))) (*.f64 (fma.f64 alpha alpha (-.f64 1 alpha)) (fma.f64 beta beta (-.f64 1 beta))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 beta 3)) (fma.f64 beta beta (-.f64 1 beta))) (/.f64 (+.f64 1 (pow.f64 alpha 3)) (fma.f64 alpha alpha (-.f64 1 alpha))))
(pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 1)
(*.f64 (+.f64 1 alpha) (+.f64 1 beta))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 2)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) 3)
(*.f64 (+.f64 1 alpha) (+.f64 1 beta))
(pow.f64 (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 3) 1/3)
(*.f64 (+.f64 1 alpha) (+.f64 1 beta))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 1)) (+.f64 1 alpha)))
(*.f64 (+.f64 1 alpha) (log.f64 (exp.f64 (+.f64 1 beta))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)))))
(*.f64 (+.f64 1 alpha) (+.f64 1 beta))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) 3))
(*.f64 (+.f64 1 alpha) (+.f64 1 beta))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 1 alpha) 3)))
(*.f64 (+.f64 1 alpha) (+.f64 1 beta))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (+.f64 beta 1) 3)))
(*.f64 (+.f64 1 alpha) (+.f64 1 beta))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))))
(*.f64 (+.f64 1 alpha) (+.f64 1 beta))
(exp.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha)) 1))
(exp.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))))
(*.f64 (+.f64 1 alpha) (+.f64 1 beta))
(fma.f64 (+.f64 beta 1) alpha (+.f64 beta 1))
(fma.f64 alpha (+.f64 1 beta) (+.f64 1 beta))
(+.f64 beta (fma.f64 (+.f64 1 beta) alpha 1))
(fma.f64 alpha (+.f64 beta 1) (+.f64 beta 1))
(fma.f64 alpha (+.f64 1 beta) (+.f64 1 beta))
(+.f64 beta (fma.f64 (+.f64 1 beta) alpha 1))

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
0.05%
(/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))
0.06%
(*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))
0.13%
(/.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
2.0ms
beta
@inf
(/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))
1.0ms
beta
@0
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
1.0ms
alpha
@0
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
1.0ms
alpha
@0
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
1.0ms
beta
@inf
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))

rewrite119.0ms (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 (+.f64 beta 2)) (+.f64 beta 1))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (*.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (/.f64 1 (*.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)) (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (/.f64 1 (+.f64 3 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))) (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) (*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 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(+.f64 alpha beta)) 2) (+.f64 1 beta))) (/.f64 1 (-.f64 -3 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))) (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2)) (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (cbrt.f64 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) 1) (/.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (+.f64 3 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 3 (+.f64 alpha beta))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 3 (+.f64 alpha beta))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))) (/.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify362.0ms (1.7%)

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

Useful iterations: 1 (0.0ms)

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

eval2.2s (10.3%)

Compiler

Compiled 94466 to 67385 computations (28.7% saved)

prune612.0ms (2.9%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New1878191897
Fresh000
Picked101
Done303
Total1882191901
Error
0%
Counts
1901 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
0.32%
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) 2)
5.93%
(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 beta 2) (+.f64 alpha (*.f64 beta alpha))) 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
3.34%
(/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (-.f64 -3 (+.f64 alpha beta)) (+.f64 1 beta))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
7.6%
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
97.92%
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
73.35%
(/.f64 (/.f64 (+.f64 alpha (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
36.6%
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
1.06%
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
30.58%
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 2 alpha) (neg.f64 (*.f64 beta (+.f64 1 alpha)))))) (+.f64 alpha (+.f64 beta 3)))
27.73%
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
44.43%
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
52.48%
(/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3))
39.66%
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (/.f64 (*.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 (-.f64 alpha beta) -2))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 (-.f64 alpha beta) -2))))
96.81%
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
41.83%
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
48.59%
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
7.61%
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
2.98%
(/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))) (+.f64 (+.f64 beta 3) alpha))
30.4%
(-.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)
Compiler

Compiled 842 to 596 computations (29.2% saved)

localize101.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))
0.02%
(/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))
0.04%
(/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2)))
0.29%
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) 2)
Compiler

Compiled 107 to 74 computations (30.8% saved)

series44.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
7.0ms
alpha
@0
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) 2)
6.0ms
beta
@-inf
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) 2)
5.0ms
beta
@0
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) 2)
4.0ms
alpha
@-inf
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) 2)
3.0ms
alpha
@inf
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) 2)

rewrite158.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
500×+-commutative
468×associate-+l+
466×add-sqr-sqrt
454×*-un-lft-identity
452×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019190
1450186
26659186
Stop Event
node limit
Counts
4 → 142
Calls
Call 1
Inputs
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) 2)
(/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2)))
(/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))
(sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 alpha (+.f64 beta 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 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simplify331.0ms (1.6%)

Algorithm
egg-herbie
Rules
1370×+-commutative
1290×associate-+r+
1096×associate-/l*
996×associate-/r*
826×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0112746504
1362646420
Stop Event
node limit
Counts
238 → 467
Calls
Call 1
Inputs
(/.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))
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(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
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(/.f64 1 (+.f64 3 alpha))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (*.f64 beta (-.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))))))
(+.f64 (/.f64 1 (+.f64 3 alpha)) (+.f64 (*.f64 beta (-.f64 (/.f64 1 (+.f64 3 alpha)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)))) (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 3 alpha) 4)))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (pow.f64 beta 2))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 2 alpha) beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 3))) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (pow.f64 beta 2)))))
1
(+.f64 (/.f64 1 beta) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 3 alpha) beta))))
(+.f64 (/.f64 1 beta) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 3 alpha))) (+.f64 3 alpha)) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 3 alpha) beta)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 beta 3)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (*.f64 -1 (+.f64 3 alpha))) (+.f64 3 alpha)) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 3 alpha) beta))))))
(/.f64 (+.f64 beta 1) (+.f64 beta 3))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))) alpha)) (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))))
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 2)) (+.f64 beta 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))) alpha)) (+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3)))))
(+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 2)) (+.f64 beta 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (/.f64 beta (pow.f64 (+.f64 beta 3) 2))) alpha)) (+.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 4)) (/.f64 beta (pow.f64 (+.f64 beta 3) 4))) (pow.f64 alpha 3))) (/.f64 beta (+.f64 beta 3))))))
(/.f64 (+.f64 beta 1) alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (pow.f64 alpha 4))) (/.f64 1 alpha)))))
(/.f64 (+.f64 beta 1) alpha)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (pow.f64 alpha 4))) (/.f64 1 alpha)))))
(sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)))
(+.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha))) (*.f64 1/2 (*.f64 (*.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))))) (sqrt.f64 (/.f64 (+.f64 3 alpha) (+.f64 1 alpha))))))
(+.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha))) (+.f64 (*.f64 1/2 (*.f64 (*.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))))) (sqrt.f64 (/.f64 (+.f64 3 alpha) (+.f64 1 alpha))))) (*.f64 1/2 (*.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 alpha (pow.f64 (+.f64 3 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (+.f64 3 alpha) (+.f64 1 alpha))) (-.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)))))) 2))))) (sqrt.f64 (/.f64 (+.f64 3 alpha) (+.f64 1 alpha)))))))
(+.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha))) (+.f64 (*.f64 1/2 (*.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 (*.f64 1/2 (/.f64 (*.f64 (-.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 3 alpha) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 3)) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (+.f64 3 alpha) (+.f64 1 alpha))) (-.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)))))) 2)))))) (+.f64 1 alpha))) (/.f64 alpha (pow.f64 (+.f64 3 alpha) 4)))))) (sqrt.f64 (/.f64 (+.f64 3 alpha) (+.f64 1 alpha))))) (+.f64 (*.f64 1/2 (*.f64 (*.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))))) (sqrt.f64 (/.f64 (+.f64 3 alpha) (+.f64 1 alpha))))) (*.f64 1/2 (*.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 alpha (pow.f64 (+.f64 3 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2)) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (+.f64 3 alpha) (+.f64 1 alpha))) (-.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)))))) 2))))) (sqrt.f64 (/.f64 (+.f64 3 alpha) (+.f64 1 alpha))))))))
(sqrt.f64 (+.f64 1 alpha))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 alpha))) beta) (sqrt.f64 (/.f64 1 (+.f64 1 alpha))))) (sqrt.f64 (+.f64 1 alpha)))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 alpha))) beta) (sqrt.f64 (/.f64 1 (+.f64 1 alpha))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 alpha))) (+.f64 3 alpha)) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 alpha))) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 alpha))))) 2)) (pow.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 1 alpha))))) (sqrt.f64 (+.f64 1 alpha))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 alpha))) (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 alpha))) (+.f64 3 alpha)) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 alpha))) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 alpha))))) 2))) (+.f64 1 alpha))) (*.f64 -1 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 alpha))) (pow.f64 (+.f64 3 alpha) 2)))) (pow.f64 beta 3)) (sqrt.f64 (/.f64 1 (+.f64 1 alpha))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 alpha))) beta) (sqrt.f64 (/.f64 1 (+.f64 1 alpha))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 alpha))) (+.f64 3 alpha)) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 alpha))) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 alpha))))) 2)) (pow.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 1 alpha))))) (sqrt.f64 (+.f64 1 alpha)))))
(sqrt.f64 (+.f64 1 alpha))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)))) beta) (sqrt.f64 (/.f64 1 (+.f64 1 alpha))))) (sqrt.f64 (+.f64 1 alpha)))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)))) (+.f64 3 alpha))) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 alpha))) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)))))) 2)) (pow.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 1 alpha))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)))) beta) (sqrt.f64 (/.f64 1 (+.f64 1 alpha))))) (sqrt.f64 (+.f64 1 alpha))))
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)))) (+.f64 3 alpha))) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 alpha))) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)))))) 2)) (pow.f64 beta 2)) (sqrt.f64 (/.f64 1 (+.f64 1 alpha))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)))) beta) (sqrt.f64 (/.f64 1 (+.f64 1 alpha))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)))) (+.f64 3 alpha))) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 alpha))) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha)))))) 2)) (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 alpha))))) (+.f64 1 alpha))) (*.f64 -1 (*.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)) (sqrt.f64 (/.f64 1 (+.f64 1 alpha))))) (sqrt.f64 (+.f64 1 alpha)))))
(sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)))
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(*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))) (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 alpha (+.f64 beta 2))) 4))) (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 2) 2))) (-.f64 beta (+.f64 alpha 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 2) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 2) (-.f64 (+.f64 alpha 2) beta))))
(*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) 1/4) 1) (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) 1/4) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) 1/4) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) 1/4) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))) 1) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (cbrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 2))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 alpha (+.f64 beta 2)))))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 alpha (+.f64 beta 2))) 1)
(pow.f64 (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 alpha (+.f64 beta 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 alpha (+.f64 beta 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 alpha (+.f64 beta 2))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))) -1)
(neg.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 (neg.f64 (+.f64 beta alpha)) -2)))
(sqrt.f64 (/.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))
(fabs.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 alpha (+.f64 beta 2))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 alpha (+.f64 beta 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 alpha (+.f64 beta 2))))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 alpha (+.f64 beta 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) 3/2) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 alpha (+.f64 beta 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 alpha (+.f64 beta 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 alpha (+.f64 beta 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))))) 1)
(*.f64 1 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta (+.f64 alpha 3))))
(*.f64 (+.f64 beta 1) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) 1))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) 1)
(*.f64 (sqrt.f64 (+.f64 beta 1)) (*.f64 (sqrt.f64 (+.f64 beta 1)) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))) (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))) (*.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))) 1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (*.f64 (cbrt.f64 (+.f64 beta 1)) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))) 2) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))) 1))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (+.f64 beta 1))
(*.f64 (+.f64 -1 (neg.f64 beta)) (/.f64 1 (+.f64 (neg.f64 (+.f64 beta alpha)) -3)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (+.f64 beta 1) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (+.f64 beta 1) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha 3) 2))) (-.f64 beta (+.f64 alpha 3)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 3) 3))) (fma.f64 beta beta (*.f64 (+.f64 alpha 3) (-.f64 (+.f64 alpha 3) beta))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) 1) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta 1)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (sqrt.f64 (+.f64 beta 1)) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 1)) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (cbrt.f64 (+.f64 beta 1)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))))
(pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta 1)) -1)
(neg.f64 (/.f64 (+.f64 beta 1) (+.f64 (neg.f64 (+.f64 beta alpha)) -3)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 beta (+.f64 alpha 3)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta (+.f64 alpha 3)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta (+.f64 alpha 3)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))) 1)
(*.f64 1 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 1)
(*.f64 (sqrt.f64 (+.f64 1 alpha)) (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) 1/4) (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) 1/4))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))) (sqrt.f64 (+.f64 1 alpha)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))) (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 1/2))
(/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))
(pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))))
(exp.f64 (*.f64 1/2 (+.f64 (log1p.f64 alpha) (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta (+.f64 alpha 3)))))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 alpha) (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta (+.f64 alpha 3))))) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (+.f64 (log1p.f64 alpha) (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta (+.f64 alpha 3)))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))))
Outputs
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2))
(+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 2 (*.f64 (/.f64 (*.f64 beta (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (+.f64 3 alpha) (+.f64 1 alpha))) (/.f64 (-.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 2 alpha)))))) (+.f64 2 alpha)) (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)))))))
(+.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3))) (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (/.f64 beta (/.f64 (+.f64 alpha 2) (fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (/.f64 1 (pow.f64 (+.f64 alpha 2) 2))) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 alpha 3) (+.f64 1 alpha))) (+.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 alpha 2)))))))))
(+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (/.f64 beta (/.f64 (+.f64 alpha 2) (fma.f64 -1 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3))) (/.f64 (pow.f64 (+.f64 alpha 2) 2) 1)) (*.f64 1/2 (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 3) (+.f64 1 alpha))) (/.f64 (+.f64 alpha 2) (+.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 (/.f64 1 (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (/.f64 alpha (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2))))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
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1
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1
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(/.f64 (+.f64 beta 1) alpha)
(/.f64 (+.f64 1 beta) alpha)
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(sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)))
(sqrt.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha 3)))
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(sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)))
(sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta)))
(+.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (+.f64 beta 3) (+.f64 beta 1))) (*.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))))
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(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (+.f64 3 beta) (+.f64 1 beta))) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 3 beta) 3)) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 2)) (/.f64 beta (pow.f64 (+.f64 3 beta) 2))) (pow.f64 (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (+.f64 3 beta) (+.f64 1 beta)))) (+.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)))))) 2)))) (*.f64 alpha alpha))) (+.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta))) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (+.f64 3 beta) (+.f64 1 beta)))) (*.f64 alpha (+.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)))))))))
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(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (+.f64 3 beta) (+.f64 1 beta))) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 3 beta) 3)) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 2)) (/.f64 beta (pow.f64 (+.f64 3 beta) 2))) (pow.f64 (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (+.f64 3 beta) (+.f64 1 beta)))) (+.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)))))) 2)))) (*.f64 alpha alpha))) (+.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta))) (*.f64 1/2 (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 3 beta) (+.f64 1 beta))) (+.f64 (/.f64 beta (pow.f64 (+.f64 3 beta) 3)) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 4)) (/.f64 beta (pow.f64 (+.f64 3 beta) 4))) (*.f64 1/2 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 3 beta) 3)) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 2)) (/.f64 beta (pow.f64 (+.f64 3 beta) 2))) (pow.f64 (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (+.f64 3 beta) (+.f64 1 beta)))) (+.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)))))) 2)))) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 3 beta) (+.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))))))))))))) (pow.f64 alpha 3)) (*.f64 (sqrt.f64 (/.f64 (+.f64 3 beta) (+.f64 1 beta))) (*.f64 alpha (+.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)))))))))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 (+.f64 3 beta) (+.f64 1 beta))) (*.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 3 beta) 3)) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 2)) (/.f64 beta (pow.f64 (+.f64 3 beta) 2))) (pow.f64 (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (+.f64 3 beta) (+.f64 1 beta)))) (+.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)))))) 2)))) (*.f64 alpha alpha))) (+.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 3 beta))) (*.f64 1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 3 beta) (+.f64 1 beta))) (*.f64 alpha (+.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))))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 3 beta) (+.f64 1 beta))) (+.f64 (/.f64 beta (pow.f64 (+.f64 3 beta) 3)) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 3 beta) 3)) (-.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 3)) (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 2)) (/.f64 beta (pow.f64 (+.f64 3 beta) 2))) (pow.f64 (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 (+.f64 3 beta) (+.f64 1 beta)))) (+.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)))))) 2)))) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 3 beta) (+.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))))))))) (+.f64 (/.f64 1 (pow.f64 (+.f64 3 beta) 4)) (/.f64 beta (pow.f64 (+.f64 3 beta) 4))))))) (pow.f64 alpha 3))))))
(sqrt.f64 (+.f64 beta 1))
(sqrt.f64 (+.f64 1 beta))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 1))) (/.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 3))) alpha))) (sqrt.f64 (+.f64 beta 1)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 beta))) (/.f64 (+.f64 beta (-.f64 1 (*.f64 (+.f64 1 beta) (+.f64 3 beta)))) alpha)) (sqrt.f64 (+.f64 1 beta)))
(fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 beta))) (/.f64 alpha (+.f64 1 (-.f64 beta (*.f64 (+.f64 1 beta) (+.f64 3 beta)))))) (sqrt.f64 (+.f64 1 beta)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 1))) (/.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 3))) alpha))) (+.f64 (sqrt.f64 (+.f64 beta 1)) (*.f64 -1/2 (*.f64 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 3)))) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 beta 1))) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 3))))) 2)) (pow.f64 alpha 2)) (sqrt.f64 (/.f64 1 (+.f64 beta 1)))))))
(+.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 1 beta))) (/.f64 (+.f64 beta (-.f64 1 (*.f64 (+.f64 1 beta) (+.f64 3 beta)))) alpha)) (sqrt.f64 (+.f64 1 beta))) (*.f64 (*.f64 -1/2 (/.f64 (fma.f64 (+.f64 3 beta) (+.f64 beta (-.f64 1 (*.f64 (+.f64 1 beta) (+.f64 3 beta)))) (pow.f64 (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 beta)))) (+.f64 beta (-.f64 1 (*.f64 (+.f64 1 beta) (+.f64 3 beta))))) 2)) (*.f64 alpha alpha))) (sqrt.f64 (/.f64 1 (+.f64 1 beta)))))
(+.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 (/.f64 1 (+.f64 1 beta))) (/.f64 alpha (+.f64 1 (-.f64 beta (*.f64 (+.f64 1 beta) (+.f64 3 beta)))))) (sqrt.f64 (+.f64 1 beta))) (*.f64 (*.f64 -1/2 (/.f64 (fma.f64 (+.f64 3 beta) (+.f64 1 (-.f64 beta (*.f64 (+.f64 1 beta) (+.f64 3 beta)))) (pow.f64 (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 beta)))) (+.f64 1 (-.f64 beta (*.f64 (+.f64 1 beta) (+.f64 3 beta))))) 2)) (*.f64 alpha alpha))) (sqrt.f64 (/.f64 1 (+.f64 1 beta)))))
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(sqrt.f64 (+.f64 beta 1))
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(cbrt.f64 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (+.f64 (+.f64 alpha 3) beta)) 3/2))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))) 3/2))
(fabs.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))
(fabs.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (+.f64 (+.f64 alpha 3) beta))))
(fabs.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))))
(sqrt.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (+.f64 (+.f64 alpha 3) beta)))
(sqrt.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))))))
(sqrt.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (+.f64 (+.f64 alpha 3) beta)))
(sqrt.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) 3/2))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (+.f64 (+.f64 alpha 3) beta)) 3/2))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))))
(sqrt.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (+.f64 (+.f64 alpha 3) beta)))
(sqrt.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))))
(exp.f64 (*.f64 1/2 (+.f64 (log1p.f64 alpha) (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta (+.f64 alpha 3)))))))
(pow.f64 (exp.f64 1/2) (+.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 (+.f64 alpha 3) beta))) (log1p.f64 alpha)))
(pow.f64 (exp.f64 1/2) (+.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 alpha (+.f64 3 beta)))) (log1p.f64 alpha)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 alpha) (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta (+.f64 alpha 3))))) 1/2))
(pow.f64 (exp.f64 1/2) (+.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 (+.f64 alpha 3) beta))) (log1p.f64 alpha)))
(pow.f64 (exp.f64 1/2) (+.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 alpha (+.f64 3 beta)))) (log1p.f64 alpha)))
(exp.f64 (*.f64 (*.f64 1/2 (+.f64 (log1p.f64 alpha) (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta (+.f64 alpha 3)))))) 1))
(pow.f64 (exp.f64 1/2) (+.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 (+.f64 alpha 3) beta))) (log1p.f64 alpha)))
(pow.f64 (exp.f64 1/2) (+.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 alpha (+.f64 3 beta)))) (log1p.f64 alpha)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))))
(sqrt.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (+.f64 (+.f64 alpha 3) beta)))
(sqrt.f64 (/.f64 (+.f64 1 beta) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 alpha))))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
3.41%
(/.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))

rewrite65.0ms (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))))))))

simplify58.0ms (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))

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.04%
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
3.32%
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
Compiler

Compiled 43 to 28 computations (34.9% saved)

series4.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite84.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1680×associate-/r*
1290×associate-/l*
976×associate-/r/
298×associate-+l+
286×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01131
125631
2385331
Stop Event
node limit
Counts
1 → 63
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (*.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 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 2 (+.f64 alpha beta))) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 alpha)) (*.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))) 2) (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha 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 (+.f64 2 (+.f64 alpha beta)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (/.f64 1 (+.f64 2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 alpha) (/.f64 -1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 4))) (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) (-.f64 alpha (+.f64 beta 2))) (-.f64 alpha (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (+.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 -1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (-.f64 -1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) 1) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 (+.f64 2 (+.f64 alpha 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)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (sqrt.f64 (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 4))) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 2 (+.f64 alpha beta))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 2 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 4))) (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (cbrt.f64 (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2))) (cbrt.f64 (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (*.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 beta (-.f64 2 alpha)))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (-.f64 alpha (+.f64 beta 2)) (-.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.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 1 alpha) (*.f64 (+.f64 2 (+.f64 alpha beta)) (+.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 (+.f64 1 alpha) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 2 (+.f64 alpha beta)))) (-.f64 alpha (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 2 (+.f64 alpha beta)))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (-.f64 (*.f64 (*.f64 alpha (+.f64 2 (+.f64 alpha beta))) (*.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta)))))) (-.f64 (*.f64 alpha (+.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (*.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta))) 3))) (-.f64 (+.f64 (*.f64 (*.f64 alpha (+.f64 2 (+.f64 alpha beta))) (*.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta))))) (*.f64 (*.f64 alpha (+.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (*.f64 (-.f64 alpha (+.f64 beta 2)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 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#<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 alpha alpha)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) (-.f64 1 (*.f64 alpha alpha))) (+.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 alpha alpha)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) (-.f64 1 (pow.f64 alpha 3))) (+.f64 1 (+.f64 alpha (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) (-.f64 1 (*.f64 (-.f64 (*.f64 alpha alpha) alpha) (-.f64 (*.f64 alpha alpha) alpha)))) (+.f64 (-.f64 1 (*.f64 alpha alpha)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) (+.f64 1 (pow.f64 (-.f64 (*.f64 alpha alpha) alpha) 3))) (+.f64 1 (-.f64 (*.f64 (-.f64 (*.f64 alpha alpha) alpha) (-.f64 (*.f64 alpha alpha) alpha)) (-.f64 (*.f64 alpha alpha) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (sqrt.f64 (-.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (cbrt.f64 (-.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 2 (+.f64 alpha beta))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 alpha)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 alpha) (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 2) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 1 alpha)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 alpha) (log.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 alpha) (log.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))))))))

simplify261.0ms (1.2%)

Algorithm
egg-herbie
Rules
804×distribute-lft-in
750×distribute-rgt-in
636×*-commutative
622×associate--r+
584×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04127401
114286969
267986969
Stop Event
node limit
Counts
87 → 186
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 (+.f64 beta 2) 2))
(+.f64 (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))))) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 2))) (+.f64 (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))))) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 2))) (+.f64 (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 6))) (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 6)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))))) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 3 (*.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 1 alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 3 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 3 (*.f64 2 beta)))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 3 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 3 (*.f64 2 beta)))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 3 (*.f64 2 beta)))) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 3 (*.f64 2 beta)))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (/.f64 1 alpha))))
(/.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (*.f64 2 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 1 (*.f64 2 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 3))) (/.f64 1 alpha)))) (*.f64 2 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 1 (*.f64 2 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (*.f64 2 (*.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 1 (*.f64 2 (+.f64 beta 2))) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)))) (pow.f64 alpha 4))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 1 (*.f64 2 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 3))) (/.f64 1 alpha))))) (*.f64 2 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (pow.f64 (+.f64 2 alpha) 6))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (pow.f64 (+.f64 2 alpha) 6))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (pow.f64 (+.f64 2 alpha) 6))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 6)))))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 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 4 (*.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 4 (*.f64 2 alpha))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)))) (pow.f64 beta 4))) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)))) (+.f64 4 (*.f64 2 alpha)))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)))) (pow.f64 beta 4))) (/.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 -2 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3)))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -4 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 4))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -2 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3))))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -4 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha)) (pow.f64 beta 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -4 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (pow.f64 beta 4))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3))) (*.f64 2 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 3)) (pow.f64 beta 5))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)))) 1)
(*.f64 1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)))
(*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(*.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) 1)
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 2 (+.f64 alpha beta))) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 2 (+.f64 alpha beta))))
(*.f64 (sqrt.f64 (+.f64 1 alpha)) (*.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)))
(*.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))) 2) (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 (cbrt.f64 (+.f64 1 alpha)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (/.f64 1 (+.f64 2 (+.f64 alpha beta))))
(*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 1 alpha))
(*.f64 (-.f64 -1 alpha) (/.f64 -1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)))
(*.f64 (/.f64 1 (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 4))) (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)))
(*.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) (-.f64 alpha (+.f64 beta 2))) (-.f64 alpha (+.f64 beta 2)))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (+.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 -1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (-.f64 -1 alpha))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) 1) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (sqrt.f64 (+.f64 1 alpha)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 4))) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 2 (+.f64 alpha beta))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 2 (+.f64 alpha beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 4))) (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (cbrt.f64 (+.f64 1 alpha)))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2))) (cbrt.f64 (+.f64 1 alpha)))
(*.f64 (/.f64 (+.f64 1 alpha) (*.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 beta (-.f64 2 alpha)))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (*.f64 (-.f64 alpha (+.f64 beta 2)) (-.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (-.f64 alpha (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 2 (+.f64 alpha beta)))) (-.f64 alpha (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 2 (+.f64 alpha beta)))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))
(*.f64 (/.f64 (+.f64 1 alpha) (-.f64 (*.f64 (*.f64 alpha (+.f64 2 (+.f64 alpha beta))) (*.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta)))))) (-.f64 (*.f64 alpha (+.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (*.f64 alpha (+.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta))) 3))) (-.f64 (+.f64 (*.f64 (*.f64 alpha (+.f64 2 (+.f64 alpha beta))) (*.f64 alpha (+.f64 2 (+.f64 alpha beta)))) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta))))) (*.f64 (*.f64 alpha (+.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta))))))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (*.f64 (-.f64 alpha (+.f64 beta 2)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(*.f64 (/.f64 (+.f64 1 alpha) (*.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 beta (-.f64 2 alpha)))) (-.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha alpha))) (+.f64 beta (-.f64 2 alpha)))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (-.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 4)) (+.f64 alpha (+.f64 beta -2)))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (+.f64 8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (-.f64 4 (*.f64 (+.f64 alpha beta) 2))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (neg.f64 (-.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 alpha alpha)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) (-.f64 1 (*.f64 alpha alpha))) (+.f64 1 alpha))
(*.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 alpha alpha)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) (-.f64 1 (pow.f64 alpha 3))) (+.f64 1 (+.f64 alpha (*.f64 alpha alpha))))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) (-.f64 1 (*.f64 (-.f64 (*.f64 alpha alpha) alpha) (-.f64 (*.f64 alpha alpha) alpha)))) (+.f64 (-.f64 1 (*.f64 alpha alpha)) alpha))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) (+.f64 1 (pow.f64 (-.f64 (*.f64 alpha alpha) alpha) 3))) (+.f64 1 (-.f64 (*.f64 (-.f64 (*.f64 alpha alpha) alpha) (-.f64 (*.f64 alpha alpha) alpha)) (-.f64 (*.f64 alpha alpha) alpha))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (sqrt.f64 (-.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (cbrt.f64 (-.f64 alpha (+.f64 beta 2))))
(pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 2 (+.f64 alpha beta))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 alpha)) -1)
(neg.f64 (/.f64 (+.f64 1 alpha) (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 2) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 4)))
(log.f64 (pow.f64 (exp.f64 (+.f64 1 alpha)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))))
(exp.f64 (+.f64 (log1p.f64 alpha) (log.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 alpha) (log.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))))
Outputs
(/.f64 1 (pow.f64 (+.f64 beta 2) 2))
(+.f64 (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))
(fma.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4)) (/.f64 4 (pow.f64 (+.f64 beta 2) 4)))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))))) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 2))) (+.f64 (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 (*.f64 2 (+.f64 beta 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4)) (/.f64 4 (pow.f64 (+.f64 beta 2) 4))))))) (*.f64 alpha alpha)) (fma.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4)) (/.f64 4 (pow.f64 (+.f64 beta 2) 4)))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(-.f64 (fma.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4)) (/.f64 4 (pow.f64 (+.f64 beta 2) 4)))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (*.f64 alpha (*.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 (/.f64 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4)) (/.f64 4 (pow.f64 (+.f64 beta 2) 4)))))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))))) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (pow.f64 alpha 2))) (+.f64 (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 6))) (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 6)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (*.f64 4 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))))) (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 (*.f64 2 (+.f64 beta 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4)) (/.f64 4 (pow.f64 (+.f64 beta 2) 4))))))) (*.f64 alpha alpha)) (fma.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4)) (/.f64 4 (pow.f64 (+.f64 beta 2) 4)))) (fma.f64 (-.f64 (+.f64 (/.f64 4 (pow.f64 (+.f64 beta 2) 6)) (/.f64 (*.f64 beta 2) (pow.f64 (+.f64 beta 2) 6))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 (*.f64 2 (+.f64 beta 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4)) (/.f64 4 (pow.f64 (+.f64 beta 2) 4))))))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 2 (+.f64 beta 2)))) (/.f64 1 (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(-.f64 (fma.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4)) (/.f64 4 (pow.f64 (+.f64 beta 2) 4)))) (fma.f64 (-.f64 (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 6)) (/.f64 4 (pow.f64 (+.f64 beta 2) 6))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 (/.f64 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4)) (/.f64 4 (pow.f64 (+.f64 beta 2) 4)))))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (fma.f64 beta 2 4))))) (pow.f64 alpha 3) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (*.f64 alpha (*.f64 alpha (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (*.f64 (/.f64 (fma.f64 beta 2 4) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (fma.f64 2 (/.f64 beta (pow.f64 (+.f64 beta 2) 4)) (/.f64 4 (pow.f64 (+.f64 beta 2) 4)))))))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 3 (*.f64 2 beta)) (pow.f64 alpha 2))) (/.f64 1 alpha))
(fma.f64 -1 (/.f64 (+.f64 (*.f64 beta 2) 3) (*.f64 alpha alpha)) (/.f64 1 alpha))
(-.f64 (/.f64 1 alpha) (/.f64 (fma.f64 beta 2 3) (*.f64 alpha alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 3 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 3 (*.f64 2 beta)))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (/.f64 1 alpha)))
(fma.f64 -1 (/.f64 (+.f64 (*.f64 beta 2) 3) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (*.f64 2 (+.f64 beta 2)) (+.f64 (*.f64 beta 2) 3)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (/.f64 1 alpha)))
(-.f64 (-.f64 (/.f64 1 alpha) (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (fma.f64 beta 2 4) (fma.f64 beta 2 3))) (pow.f64 alpha 3))) (/.f64 (fma.f64 beta 2 3) (*.f64 alpha alpha)))
(-.f64 (-.f64 (/.f64 1 alpha) (/.f64 (fma.f64 beta 2 3) (*.f64 alpha alpha))) (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (fma.f64 beta 2 4) (fma.f64 beta 2 3))) (pow.f64 alpha 3)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 3 (*.f64 2 beta)) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 3 (*.f64 2 beta)))) (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 3 (*.f64 2 beta)))) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 3 (*.f64 2 beta)))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (/.f64 1 alpha))))
(fma.f64 -1 (/.f64 (+.f64 (*.f64 beta 2) 3) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (*.f64 beta 2) 3)) (*.f64 (*.f64 2 (+.f64 beta 2)) (fma.f64 -1 (*.f64 (*.f64 2 (+.f64 beta 2)) (+.f64 (*.f64 beta 2) 3)) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (*.f64 2 (+.f64 beta 2)) (+.f64 (*.f64 beta 2) 3)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (/.f64 1 alpha))))
(-.f64 (-.f64 (-.f64 (/.f64 1 alpha) (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (fma.f64 beta 2 4) (fma.f64 beta 2 3))) (pow.f64 alpha 3))) (/.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 beta 2) 2) (fma.f64 beta 2 3) (*.f64 (fma.f64 beta 2 4) (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (fma.f64 beta 2 4) (fma.f64 beta 2 3)))))) (pow.f64 alpha 4))) (/.f64 (fma.f64 beta 2 3) (*.f64 alpha alpha)))
(-.f64 (-.f64 (-.f64 (/.f64 1 alpha) (/.f64 (fma.f64 beta 2 3) (*.f64 alpha alpha))) (/.f64 (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (fma.f64 beta 2 4) (fma.f64 beta 2 3))) (pow.f64 alpha 3))) (/.f64 (neg.f64 (fma.f64 (pow.f64 (+.f64 beta 2) 2) (fma.f64 beta 2 3) (*.f64 (fma.f64 beta 2 4) (-.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (fma.f64 beta 2 4) (fma.f64 beta 2 3)))))) (pow.f64 alpha 4)))
(/.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (*.f64 2 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (-.f64 (/.f64 1 alpha) (*.f64 2 (/.f64 (+.f64 beta 2) (*.f64 alpha alpha)))))
(+.f64 (/.f64 1 alpha) (-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 (fma.f64 beta 2 4) (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 1 (*.f64 2 (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 3))) (/.f64 1 alpha)))) (*.f64 2 (/.f64 (+.f64 beta 2) (pow.f64 alpha 2))))
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (fma.f64 -2 (/.f64 (+.f64 1 (*.f64 -2 (+.f64 beta 2))) (/.f64 (pow.f64 alpha 3) (+.f64 beta 2))) (/.f64 1 alpha)))) (*.f64 -2 (/.f64 (+.f64 beta 2) (*.f64 alpha alpha))))
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(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) -2) (+.f64 1 (pow.f64 alpha 3))) (+.f64 1 (-.f64 (*.f64 (-.f64 (*.f64 alpha alpha) alpha) (-.f64 (*.f64 alpha alpha) alpha)) (-.f64 (*.f64 alpha alpha) alpha)))) (+.f64 1 (pow.f64 (-.f64 (*.f64 alpha alpha) alpha) 3)))
(*.f64 (*.f64 (/.f64 (+.f64 1 (pow.f64 alpha 3)) (+.f64 1 (pow.f64 (fma.f64 alpha alpha (neg.f64 alpha)) 3))) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)) (+.f64 1 (+.f64 alpha (-.f64 (*.f64 (fma.f64 alpha alpha (neg.f64 alpha)) (fma.f64 alpha alpha (neg.f64 alpha))) (*.f64 alpha alpha)))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (*.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (hypot.f64 (pow.f64 (+.f64 beta 2) 3/2) (pow.f64 alpha 3/2))) (+.f64 beta (+.f64 2 alpha)))) (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (sqrt.f64 (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (sqrt.f64 (-.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) (*.f64 (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (sqrt.f64 (+.f64 2 (+.f64 beta alpha))))) (sqrt.f64 (-.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))))) (sqrt.f64 (+.f64 (-.f64 alpha beta) -2)))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))))) (sqrt.f64 (+.f64 alpha (-.f64 -2 beta))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2) (+.f64 2 (+.f64 beta alpha)))) (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (cbrt.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2)) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (cbrt.f64 (-.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2) (+.f64 2 (+.f64 beta alpha)))) (cbrt.f64 (-.f64 alpha (+.f64 beta 2)))) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha))) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) (cbrt.f64 (+.f64 (-.f64 alpha beta) -2)))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha))) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) (cbrt.f64 (+.f64 alpha (-.f64 -2 beta))))
(pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) 1)
(*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 beta alpha)) -2))
(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 2 (+.f64 alpha beta))) 2)
(*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 beta alpha)) -2))
(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))) 3)
(*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 beta alpha)) -2))
(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(pow.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) 3) 1/3)
(*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 beta alpha)) -2))
(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(pow.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 alpha)) -1)
(*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 beta alpha)) -2))
(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(neg.f64 (/.f64 (+.f64 1 alpha) (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2))))
(/.f64 (neg.f64 (+.f64 1 alpha)) (neg.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))
(/.f64 (-.f64 -1 alpha) (neg.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 2) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 4)))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 2) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 4)))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 2) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 4)))
(log.f64 (pow.f64 (exp.f64 (+.f64 1 alpha)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)))
(*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 beta alpha)) -2))
(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)))))
(*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 beta alpha)) -2))
(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2)) 3))
(*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 beta alpha)) -2))
(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) 3)))
(*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 beta alpha)) -2))
(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))))
(*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 beta alpha)) -2))
(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))
(exp.f64 (+.f64 (log1p.f64 alpha) (log.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))))
(exp.f64 (+.f64 (log1p.f64 alpha) (*.f64 -2 (log.f64 (+.f64 2 (+.f64 beta alpha))))))
(*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2) (exp.f64 (log1p.f64 alpha)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 alpha) (log.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))) 1))
(exp.f64 (+.f64 (log1p.f64 alpha) (*.f64 -2 (log.f64 (+.f64 2 (+.f64 beta alpha))))))
(*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2) (exp.f64 (log1p.f64 alpha)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))))
(*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 (+.f64 beta alpha)) -2))
(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2))

localize49.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.02%
(/.f64 1 (+.f64 beta 3))
0.04%
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
0.18%
(*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 1))
0.46%
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
Compiler

Compiled 67 to 47 computations (29.9% saved)

series24.0ms (0.1%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
11.0ms
beta
@inf
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
3.0ms
beta
@-inf
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
3.0ms
beta
@0
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
2.0ms
alpha
@0
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
2.0ms
alpha
@inf
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

rewrite128.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
710×distribute-lft-neg-in
676×distribute-rgt-neg-in
376×add-sqr-sqrt
364×pow1
364×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01575
136375
2560175
Stop Event
node limit
Counts
3 → 121
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 1))
(/.f64 1 (+.f64 beta 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 beta) (*.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (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 beta 3))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (*.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (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 beta 3))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 3))) (/.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 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 3))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (+.f64 1 beta)) (+.f64 beta 3)) (/.f64 1 (neg.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 3))))))) (#(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 beta 3)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) 1) (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) 1) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (+.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.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 beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.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 (/.f64 1 (+.f64 beta 3)) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (+.f64 1 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 beta) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 (/.f64 beta (+.f64 beta 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 beta (+.f64 beta 3)) (/.f64 1 (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 beta (+.f64 beta 3)) 1) (/.f64 1 (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta 3)))) (-.f64 1 (/.f64 beta (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 beta (+.f64 beta 3)) (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 beta 3)) 1) (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta 3) -1/2) (pow.f64 (+.f64 beta 3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 beta 3) -1/2) (*.f64 (pow.f64 (+.f64 beta 3) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (-.f64 -3 beta))) (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (/.f64 -1 (cbrt.f64 (-.f64 -3 beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (*.f64 (/.f64 -1 (cbrt.f64 (-.f64 -3 beta))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (-.f64 -3 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 beta beta -9)) (+.f64 beta -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 27 (pow.f64 beta 3))) (+.f64 9 (*.f64 beta (+.f64 beta -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 beta 3)) -1) (pow.f64 (sqrt.f64 (+.f64 beta 3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 beta 3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 beta 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 beta 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 beta 3) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -3 beta))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 beta 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 beta 3) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 beta 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 beta 3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta 3))))))))

simplify167.0ms (0.8%)

Algorithm
egg-herbie
Rules
820×associate-*r*
754×distribute-lft-in
706×associate-*l*
670×distribute-rgt-in
646×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05639989
118029339
Stop Event
node limit
Counts
169 → 259
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))))))))
1/3
(+.f64 (*.f64 2/9 beta) 1/3)
(+.f64 (*.f64 -2/27 (pow.f64 beta 2)) (+.f64 (*.f64 2/9 beta) 1/3))
(+.f64 (*.f64 -2/27 (pow.f64 beta 2)) (+.f64 (*.f64 2/9 beta) (+.f64 1/3 (*.f64 2/81 (pow.f64 beta 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 18 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 18 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
1/3
(+.f64 1/3 (*.f64 -1/9 beta))
(+.f64 1/3 (+.f64 (*.f64 -1/9 beta) (*.f64 1/27 (pow.f64 beta 2))))
(+.f64 (*.f64 -1/81 (pow.f64 beta 3)) (+.f64 1/3 (+.f64 (*.f64 -1/9 beta) (*.f64 1/27 (pow.f64 beta 2)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 9 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 9 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 2))) (*.f64 27 (/.f64 1 (pow.f64 beta 4)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 9 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 9 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 2))) (*.f64 27 (/.f64 1 (pow.f64 beta 4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))) 1)
(*.f64 1 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 beta))))
(*.f64 (+.f64 1 beta) (*.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))
(*.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) 1)
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (*.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 3))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (/.f64 (+.f64 1 beta) (+.f64 beta 3)))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 3))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 3))))
(*.f64 (/.f64 (neg.f64 (+.f64 1 beta)) (+.f64 beta 3)) (/.f64 1 (neg.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 3))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (/.f64 (+.f64 1 beta) 1) (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) 1) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (+.f64 1 beta))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 3))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.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 (/.f64 1 (+.f64 beta 3)) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (+.f64 1 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (/.f64 (+.f64 1 beta) (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 beta 3))) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 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))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) 2) (+.f64 beta (+.f64 alpha 2))) (/.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) 2) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (cbrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))
(pow.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (/.f64 (+.f64 1 beta) (+.f64 beta 3))) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (neg.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) 2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) 3) (pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))
(exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))
(+.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3)))
(+.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 (/.f64 beta (+.f64 beta 3)) 1))
(+.f64 (/.f64 beta (+.f64 beta 3)) (/.f64 1 (+.f64 beta 3)))
(+.f64 (*.f64 (/.f64 beta (+.f64 beta 3)) 1) (/.f64 1 (+.f64 beta 3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta 3)))) (-.f64 1 (/.f64 beta (+.f64 beta 3))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)))) 1)
(-.f64 (+.f64 (/.f64 beta (+.f64 beta 3)) (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta 3))))) 1)
(-.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 beta 3)) 1) (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta 3))))) 1)
(/.f64 1 (/.f64 (+.f64 beta 3) (+.f64 1 beta)))
(/.f64 (+.f64 1 beta) (+.f64 beta 3))
(/.f64 (hypot.f64 1 (sqrt.f64 beta)) (/.f64 (+.f64 beta 3) (hypot.f64 1 (sqrt.f64 beta))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2) (/.f64 (+.f64 beta 3) (cbrt.f64 (+.f64 1 beta))))
(/.f64 (fma.f64 beta beta -1) (*.f64 (+.f64 beta 3) (+.f64 beta -1)))
(/.f64 (+.f64 1 (pow.f64 beta 3)) (*.f64 (+.f64 beta 3) (fma.f64 beta beta (-.f64 1 beta))))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (fma.f64 beta beta -1)) (+.f64 beta -1))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 1 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 1 beta)))
(/.f64 (*.f64 (fma.f64 beta beta -1) (/.f64 1 (+.f64 beta 3))) (+.f64 beta -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) (/.f64 1 (+.f64 beta 3))) (fma.f64 beta beta (-.f64 1 beta)))
(/.f64 (/.f64 (+.f64 1 beta) 1) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 1 beta) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (cbrt.f64 (+.f64 beta 3)))
(/.f64 (neg.f64 (+.f64 1 beta)) (-.f64 -3 beta))
(/.f64 (-.f64 (*.f64 (/.f64 beta (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) -2)) (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 1 (+.f64 beta 3)) 3) (pow.f64 (/.f64 beta (+.f64 beta 3)) 3)) (-.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 beta 3)) (/.f64 beta (+.f64 beta 3))) (pow.f64 (+.f64 beta 3) -2)) (*.f64 (/.f64 beta (+.f64 beta 3)) (/.f64 1 (+.f64 beta 3)))))
(/.f64 (*.f64 (fma.f64 beta beta -1) 1) (*.f64 (+.f64 beta -1) (+.f64 beta 3)))
(/.f64 (*.f64 (fma.f64 beta beta -1) -1) (*.f64 (+.f64 beta -1) (-.f64 -3 beta)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) 1) (*.f64 (fma.f64 beta beta (-.f64 1 beta)) (+.f64 beta 3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) -1) (*.f64 (fma.f64 beta beta (-.f64 1 beta)) (-.f64 -3 beta)))
(/.f64 (neg.f64 (fma.f64 beta beta -1)) (*.f64 (-.f64 -3 beta) (+.f64 beta -1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 beta 3))) (*.f64 (-.f64 -3 beta) (fma.f64 beta beta (-.f64 1 beta))))
(pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) 3) 1/3)
(neg.f64 (/.f64 (neg.f64 (+.f64 1 beta)) (+.f64 beta 3)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 beta 3)) 3) (pow.f64 (+.f64 1 beta) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 beta) 3) (pow.f64 (/.f64 1 (+.f64 beta 3)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 beta) 3) (pow.f64 (+.f64 beta 3) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 3))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 3))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))))
(fma.f64 beta (/.f64 1 (+.f64 beta 3)) (/.f64 1 (+.f64 beta 3)))
(fma.f64 (/.f64 1 (+.f64 beta 3)) beta (/.f64 1 (+.f64 beta 3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta 3)))) 1)
(*.f64 1 (/.f64 1 (+.f64 beta 3)))
(*.f64 (/.f64 1 (+.f64 beta 3)) 1)
(*.f64 (pow.f64 (+.f64 beta 3) -1/2) (pow.f64 (+.f64 beta 3) -1/2))
(*.f64 (pow.f64 (+.f64 beta 3) -1/2) (*.f64 (pow.f64 (+.f64 beta 3) -1/2) 1))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 -3 beta))) (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (/.f64 -1 (cbrt.f64 (-.f64 -3 beta))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (*.f64 (/.f64 -1 (cbrt.f64 (-.f64 -3 beta))) 1))
(*.f64 -1 (/.f64 1 (-.f64 -3 beta)))
(*.f64 (/.f64 1 (fma.f64 beta beta -9)) (+.f64 beta -3))
(*.f64 (/.f64 1 (+.f64 27 (pow.f64 beta 3))) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 beta 3)) -1) (pow.f64 (sqrt.f64 (+.f64 beta 3)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 beta 3)) -1))
(pow.f64 (+.f64 beta 3) -1)
(pow.f64 (/.f64 1 (+.f64 beta 3)) 1)
(pow.f64 (pow.f64 (+.f64 beta 3) -1/2) 2)
(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -3 beta))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 beta 3)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 beta 3) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 beta 3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta 3)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 beta 3)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta 3))))
(exp.f64 (neg.f64 (log.f64 (+.f64 beta 3))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta 3)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta 3))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta 3))))
Outputs
(/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/9 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 3 (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))
(fma.f64 beta (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/9 (/.f64 (fma.f64 3 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)))
(fma.f64 beta (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (*.f64 -1/9 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 12 (*.f64 alpha 6)))) (pow.f64 (+.f64 2 alpha) 4))) (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/9 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 3 (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/9 (/.f64 (+.f64 7 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))) (*.f64 1/3 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 3 (+.f64 4 (*.f64 2 alpha)))) (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/9 (/.f64 (+.f64 (*.f64 3 (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4))))) (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))
(fma.f64 beta (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/9 (/.f64 (fma.f64 3 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)))) (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 4 (*.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 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4))))))))) (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2))))
(fma.f64 beta (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (*.f64 -1/9 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 12 (*.f64 alpha 6)))) (pow.f64 (+.f64 2 alpha) 4))) (-.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 beta (*.f64 beta (fma.f64 1/9 (/.f64 (+.f64 (*.f64 2 alpha) 7) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 1/3 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 12 (*.f64 alpha 6))) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (*.f64 -1/9 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 12 (*.f64 alpha 6)))) (pow.f64 (+.f64 2 alpha) 4))))))))))
(+.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 4 (*.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 4 (*.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 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4))))))))) (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2))) (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 4 (*.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 4 (*.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 4 (*.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 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 (+.f64 2 alpha) 4)))))))))))))
(fma.f64 beta (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (*.f64 -1/9 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 12 (*.f64 alpha 6)))) (pow.f64 (+.f64 2 alpha) 4))) (-.f64 (-.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 beta (*.f64 beta (fma.f64 1/9 (/.f64 (+.f64 (*.f64 2 alpha) 7) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 1/3 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 12 (*.f64 alpha 6))) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (*.f64 -1/9 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 12 (*.f64 alpha 6)))) (pow.f64 (+.f64 2 alpha) 4))))))))) (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 1/9 (pow.f64 (+.f64 2 alpha) 4)) (fma.f64 -1/3 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 12 (*.f64 alpha 6))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (fma.f64 1/9 (/.f64 (+.f64 (*.f64 2 alpha) 7) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 1/3 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 12 (*.f64 alpha 6))) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (*.f64 -1/9 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 12 (*.f64 alpha 6)))) (pow.f64 (+.f64 2 alpha) 4)))))))) (/.f64 (*.f64 1/3 (*.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (*.f64 -1/9 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 12 (*.f64 alpha 6)))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 (*.f64 2 alpha) 7))) (pow.f64 (+.f64 2 alpha) 2)))))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 alpha)) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (neg.f64 (/.f64 (+.f64 (*.f64 2 alpha) 6) (pow.f64 beta 3))))
(-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 (*.f64 2 alpha) 6) (pow.f64 beta 3)))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 alpha)) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 3 (+.f64 4 (*.f64 2 alpha))) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 6 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (*.f64 -1 (+.f64 (/.f64 (+.f64 (*.f64 2 alpha) 6) (pow.f64 beta 3)) (/.f64 (fma.f64 3 (+.f64 4 (*.f64 2 alpha)) (fma.f64 -1 (*.f64 (+.f64 (*.f64 2 alpha) 7) (+.f64 (*.f64 2 alpha) 6)) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4)))))
(-.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 (*.f64 2 alpha) 6) (pow.f64 beta 3))) (/.f64 (+.f64 (+.f64 12 (*.f64 alpha 6)) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 (*.f64 2 alpha) 7) (+.f64 (*.f64 2 alpha) 6)))) (pow.f64 beta 4)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 3 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 3 (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 6 (*.f64 2 alpha)))) (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 6 (*.f64 2 alpha)))) (*.f64 3 (+.f64 4 (*.f64 2 alpha))))))))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 alpha)) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 3 (+.f64 4 (*.f64 2 alpha))) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 6 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4))))))
(fma.f64 -1 (/.f64 (fma.f64 3 (pow.f64 (+.f64 2 alpha) 2) (*.f64 -1 (+.f64 (*.f64 (fma.f64 3 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 2 alpha) 6)) (*.f64 (+.f64 (*.f64 2 alpha) 7) (fma.f64 3 (+.f64 4 (*.f64 2 alpha)) (fma.f64 -1 (*.f64 (+.f64 (*.f64 2 alpha) 7) (+.f64 (*.f64 2 alpha) 6)) (pow.f64 (+.f64 2 alpha) 2))))))) (pow.f64 beta 5)) (+.f64 (/.f64 1 (*.f64 beta beta)) (*.f64 -1 (+.f64 (/.f64 (+.f64 (*.f64 2 alpha) 6) (pow.f64 beta 3)) (/.f64 (fma.f64 3 (+.f64 4 (*.f64 2 alpha)) (fma.f64 -1 (*.f64 (+.f64 (*.f64 2 alpha) 7) (+.f64 (*.f64 2 alpha) 6)) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4))))))
(-.f64 (-.f64 (-.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (+.f64 (*.f64 2 alpha) 6) (pow.f64 beta 3))) (/.f64 (+.f64 (+.f64 12 (*.f64 alpha 6)) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 (*.f64 2 alpha) 7) (+.f64 (*.f64 2 alpha) 6)))) (pow.f64 beta 4))) (/.f64 (-.f64 (-.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) 3) (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 12 (*.f64 alpha 6))) (+.f64 (*.f64 2 alpha) 6))) (*.f64 (+.f64 (*.f64 2 alpha) 7) (+.f64 (+.f64 12 (*.f64 alpha 6)) (-.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 (*.f64 2 alpha) 7) (+.f64 (*.f64 2 alpha) 6)))))) (pow.f64 beta 5)))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 -1 (/.f64 (+.f64 3 (*.f64 2 (+.f64 2 alpha))) (pow.f64 beta 3)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 (neg.f64 (+.f64 3 (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 3))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 (+.f64 (*.f64 2 alpha) 7) (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -6 (+.f64 2 alpha)) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (+.f64 3 (*.f64 2 (+.f64 2 alpha))) (+.f64 1 (*.f64 -1 (+.f64 3 (*.f64 2 (+.f64 2 alpha))))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 -1 (/.f64 (+.f64 3 (*.f64 2 (+.f64 2 alpha))) (pow.f64 beta 3))))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (fma.f64 -6 (+.f64 2 alpha) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (+.f64 3 (+.f64 4 (*.f64 2 alpha))) (fma.f64 -1 (+.f64 3 (+.f64 4 (*.f64 2 alpha))) 1))) (pow.f64 beta 4)) (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 (neg.f64 (+.f64 3 (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 3)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (-.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 (+.f64 (*.f64 2 alpha) 7) (pow.f64 beta 3)))) (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 2 alpha) 7) (+.f64 -2 (*.f64 (+.f64 2 alpha) -2))) (-.f64 (+.f64 -12 (*.f64 alpha -6)) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4)))
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(fma.f64 -1 (/.f64 (*.f64 -3 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta 1)) (+.f64 beta 3))) (pow.f64 alpha 4)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 alpha alpha))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 3) -1) (*.f64 alpha alpha)) (fma.f64 -2 (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 alpha 3)) (+.f64 2 beta))) (*.f64 2 (+.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 5))) (/.f64 (+.f64 2 beta) (/.f64 (pow.f64 alpha 5) (*.f64 -3 (/.f64 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta 1)) (+.f64 beta 3)))))))))))
(+.f64 (/.f64 (*.f64 3 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2))) (pow.f64 alpha 4)) (+.f64 (fma.f64 -2 (*.f64 (/.f64 (+.f64 2 beta) (+.f64 beta 3)) (/.f64 (+.f64 beta 1) (pow.f64 alpha 3))) (*.f64 2 (+.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (/.f64 (pow.f64 (+.f64 2 beta) 3) (pow.f64 alpha 5))) (/.f64 (*.f64 -3 (/.f64 (pow.f64 (+.f64 2 beta) 3) (/.f64 (+.f64 beta 3) (+.f64 beta 1)))) (pow.f64 alpha 5))))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (*.f64 alpha alpha))) (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 alpha alpha))))))
1/3
(+.f64 (*.f64 2/9 beta) 1/3)
(fma.f64 2/9 beta 1/3)
(+.f64 (*.f64 -2/27 (pow.f64 beta 2)) (+.f64 (*.f64 2/9 beta) 1/3))
(fma.f64 -2/27 (*.f64 beta beta) (fma.f64 2/9 beta 1/3))
(+.f64 (*.f64 -2/27 (pow.f64 beta 2)) (+.f64 (*.f64 2/9 beta) (+.f64 1/3 (*.f64 2/81 (pow.f64 beta 3)))))
(fma.f64 -2/27 (*.f64 beta beta) (+.f64 (fma.f64 2/9 beta 1/3) (*.f64 (pow.f64 beta 3) 2/81)))
(+.f64 (fma.f64 -2/27 (*.f64 beta beta) (fma.f64 2/9 beta 1/3)) (*.f64 (pow.f64 beta 3) 2/81))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (/.f64 6 (*.f64 beta beta))) (/.f64 2 beta))
(+.f64 (/.f64 6 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta)))
(-.f64 (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 18 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 1 (/.f64 6 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 18 (pow.f64 beta 3))))
(+.f64 (/.f64 6 (*.f64 beta beta)) (-.f64 1 (+.f64 (/.f64 2 beta) (/.f64 18 (pow.f64 beta 3)))))
1
(-.f64 1 (*.f64 2 (/.f64 1 beta)))
(-.f64 1 (/.f64 2 beta))
(+.f64 1 (/.f64 -2 beta))
(-.f64 (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2 (/.f64 1 beta)))
(-.f64 (+.f64 1 (/.f64 6 (*.f64 beta beta))) (/.f64 2 beta))
(+.f64 (/.f64 6 (*.f64 beta beta)) (+.f64 1 (/.f64 -2 beta)))
(-.f64 (+.f64 1 (*.f64 6 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (*.f64 18 (/.f64 1 (pow.f64 beta 3))) (*.f64 2 (/.f64 1 beta))))
(-.f64 (+.f64 1 (/.f64 6 (*.f64 beta beta))) (+.f64 (/.f64 2 beta) (/.f64 18 (pow.f64 beta 3))))
(+.f64 (/.f64 6 (*.f64 beta beta)) (-.f64 1 (+.f64 (/.f64 2 beta) (/.f64 18 (pow.f64 beta 3)))))
1/3
(+.f64 1/3 (*.f64 -1/9 beta))
(+.f64 1/3 (*.f64 beta -1/9))
(+.f64 1/3 (+.f64 (*.f64 -1/9 beta) (*.f64 1/27 (pow.f64 beta 2))))
(+.f64 1/3 (fma.f64 -1/9 beta (*.f64 (*.f64 beta beta) 1/27)))
(+.f64 (*.f64 -1/81 (pow.f64 beta 3)) (+.f64 1/3 (+.f64 (*.f64 -1/9 beta) (*.f64 1/27 (pow.f64 beta 2)))))
(fma.f64 -1/81 (pow.f64 beta 3) (+.f64 1/3 (fma.f64 -1/9 beta (*.f64 (*.f64 beta beta) 1/27))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta beta)))
(+.f64 (/.f64 1 beta) (/.f64 -3 (*.f64 beta beta)))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 9 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 9 (pow.f64 beta 3)) (/.f64 3 (*.f64 beta beta))))
(+.f64 (/.f64 9 (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (/.f64 -3 (*.f64 beta beta))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 9 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 2))) (*.f64 27 (/.f64 1 (pow.f64 beta 4)))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 9 (pow.f64 beta 3)) (+.f64 (/.f64 3 (*.f64 beta beta)) (/.f64 27 (pow.f64 beta 4)))))
(/.f64 1 beta)
(-.f64 (/.f64 1 beta) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(-.f64 (/.f64 1 beta) (/.f64 3 (*.f64 beta beta)))
(+.f64 (/.f64 1 beta) (/.f64 -3 (*.f64 beta beta)))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 9 (/.f64 1 (pow.f64 beta 3)))) (*.f64 3 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 9 (pow.f64 beta 3)) (/.f64 3 (*.f64 beta beta))))
(+.f64 (/.f64 9 (pow.f64 beta 3)) (+.f64 (/.f64 1 beta) (/.f64 -3 (*.f64 beta beta))))
(-.f64 (+.f64 (/.f64 1 beta) (*.f64 9 (/.f64 1 (pow.f64 beta 3)))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 2))) (*.f64 27 (/.f64 1 (pow.f64 beta 4)))))
(+.f64 (/.f64 1 beta) (-.f64 (/.f64 9 (pow.f64 beta 3)) (+.f64 (/.f64 3 (*.f64 beta beta)) (/.f64 27 (pow.f64 beta 4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))) 1)
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2))
(*.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 beta 3)))
(*.f64 1 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2))
(*.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 beta 3)))
(*.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2))
(*.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 beta 3)))
(*.f64 (/.f64 1 (+.f64 beta 3)) (/.f64 1 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (+.f64 1 beta))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2))
(*.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 beta 3)))
(*.f64 (+.f64 1 beta) (*.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2))
(*.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 beta 3)))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2))
(*.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 beta 3)))
(*.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) 1)
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2))
(*.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 beta 3)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2))
(*.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 beta 3)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (*.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2))
(*.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 beta 3)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 2))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2))
(*.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 beta 3)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2))
(*.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 beta 3)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2))
(*.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 beta 3)))
(*.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 3))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2))
(*.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 beta 3)))
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (/.f64 (+.f64 1 beta) (+.f64 beta 3)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2))
(*.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 beta 3)))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 3))) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2))
(*.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 beta 3)))
(*.f64 (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 3))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2))
(*.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 beta 3)))
(*.f64 (/.f64 (neg.f64 (+.f64 1 beta)) (+.f64 beta 3)) (/.f64 1 (neg.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(*.f64 (/.f64 (+.f64 -1 (neg.f64 beta)) (+.f64 beta 3)) (/.f64 1 (neg.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 2))))
(/.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 3)) (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 3))))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2))
(*.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 beta 3)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 4))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2)) 2)))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 4))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2))
(*.f64 (/.f64 (+.f64 1 beta) 1) (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2))
(*.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) 1) (/.f64 (+.f64 1 beta) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2))
(*.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (+.f64 1 beta))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2))
(*.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 beta 3))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))
(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 (+.f64 beta alpha) 2))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))) (-.f64 alpha (+.f64 2 beta)))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (+.f64 2 (+.f64 alpha beta))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 2 beta) 2))) (+.f64 (-.f64 alpha beta) -2))
(*.f64 (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta (+.f64 alpha 2)) (+.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 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 (+.f64 beta alpha) 2))) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (+.f64 beta (-.f64 2 alpha))))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)))
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 2 beta) 3)) (+.f64 beta 3)) (+.f64 2 (+.f64 alpha beta)))) (fma.f64 alpha alpha (*.f64 (+.f64 2 beta) (-.f64 2 (-.f64 alpha beta)))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (+.f64 1 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 4))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2)) 2)))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 4))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2))
(*.f64 (/.f64 (+.f64 1 beta) (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 1 (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 4))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2)) 2)))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 4))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 (+.f64 beta alpha) 2) -2))
(*.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2) (+.f64 beta 3)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 4))) (/.f64 (sqrt.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (+.f64 beta alpha) 2) 4))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta alpha) 2)) 2)))
(/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (cbrt.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 4))) (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2))
(*.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))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
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(*.f64 (pow.f64 (+.f64 beta 3) -1/2) (*.f64 (pow.f64 (+.f64 beta 3) -1/2) 1))
(pow.f64 (+.f64 beta 3) -1)
(/.f64 1 (+.f64 beta 3))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 -3 beta))) (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2))) (cbrt.f64 (-.f64 -3 beta)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (/.f64 -1 (cbrt.f64 (-.f64 -3 beta))))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 -3 beta))) (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2))) (cbrt.f64 (-.f64 -3 beta)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)) (*.f64 (/.f64 -1 (cbrt.f64 (-.f64 -3 beta))) 1))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 -3 beta))) (cbrt.f64 (pow.f64 (+.f64 beta 3) -2)))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 beta 3) -2))) (cbrt.f64 (-.f64 -3 beta)))
(*.f64 -1 (/.f64 1 (-.f64 -3 beta)))
(/.f64 -1 (-.f64 -3 beta))
(*.f64 (/.f64 1 (fma.f64 beta beta -9)) (+.f64 beta -3))
(/.f64 (+.f64 beta -3) (fma.f64 beta beta -9))
(*.f64 (/.f64 1 (+.f64 27 (pow.f64 beta 3))) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 beta 3) 27)) (+.f64 9 (*.f64 beta (+.f64 beta -3))))
(/.f64 (+.f64 9 (*.f64 beta (+.f64 beta -3))) (+.f64 (pow.f64 beta 3) 27))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 beta 3)) -1) (pow.f64 (sqrt.f64 (+.f64 beta 3)) -1))
(pow.f64 (sqrt.f64 (+.f64 beta 3)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 beta 3)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (/.f64 1 (cbrt.f64 (+.f64 beta 3))))
(pow.f64 (+.f64 beta 3) -1)
(/.f64 1 (+.f64 beta 3))
(pow.f64 (/.f64 1 (+.f64 beta 3)) 1)
(pow.f64 (+.f64 beta 3) -1)
(/.f64 1 (+.f64 beta 3))
(pow.f64 (pow.f64 (+.f64 beta 3) -1/2) 2)
(pow.f64 (+.f64 beta 3) -1)
(/.f64 1 (+.f64 beta 3))
(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -3 beta))) 3)
(/.f64 -1 (-.f64 -3 beta))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 beta 3)) 3) 1/3)
(pow.f64 (+.f64 beta 3) -1)
(/.f64 1 (+.f64 beta 3))
(sqrt.f64 (pow.f64 (+.f64 beta 3) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 beta 3))))
(pow.f64 (+.f64 beta 3) -1)
(/.f64 1 (+.f64 beta 3))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta 3)))))
(pow.f64 (+.f64 beta 3) -1)
(/.f64 1 (+.f64 beta 3))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 beta 3)) 3))
(pow.f64 (+.f64 beta 3) -1)
(/.f64 1 (+.f64 beta 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta 3))))
(pow.f64 (+.f64 beta 3) -1)
(/.f64 1 (+.f64 beta 3))
(exp.f64 (neg.f64 (log.f64 (+.f64 beta 3))))
(pow.f64 (+.f64 beta 3) -1)
(/.f64 1 (+.f64 beta 3))
(exp.f64 (*.f64 (log.f64 (+.f64 beta 3)) -1))
(pow.f64 (+.f64 beta 3) -1)
(/.f64 1 (+.f64 beta 3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta 3))) 1))
(pow.f64 (+.f64 beta 3) -1)
(/.f64 1 (+.f64 beta 3))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta 3))))
(pow.f64 (+.f64 beta 3) -1)
(/.f64 1 (+.f64 beta 3))

localize78.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.02%
(*.f64 beta (+.f64 1 alpha))
0.05%
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 2 alpha) (neg.f64 (*.f64 beta (+.f64 1 alpha)))))
0.11%
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 2 alpha) (neg.f64 (*.f64 beta (+.f64 1 alpha)))))) (+.f64 alpha (+.f64 beta 3)))
1.51%
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 2 alpha) (neg.f64 (*.f64 beta (+.f64 1 alpha))))))
Compiler

Compiled 115 to 78 computations (32.2% saved)

series42.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
14.0ms
alpha
@0
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 2 alpha) (neg.f64 (*.f64 beta (+.f64 1 alpha))))))
7.0ms
alpha
@inf
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 2 alpha) (neg.f64 (*.f64 beta (+.f64 1 alpha)))))) (+.f64 alpha (+.f64 beta 3)))
4.0ms
beta
@-inf
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 2 alpha) (neg.f64 (*.f64 beta (+.f64 1 alpha)))))) (+.f64 alpha (+.f64 beta 3)))
3.0ms
alpha
@0
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 2 alpha) (neg.f64 (*.f64 beta (+.f64 1 alpha)))))) (+.f64 alpha (+.f64 beta 3)))
2.0ms
alpha
@-inf
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 2 alpha) (neg.f64 (*.f64 beta (+.f64 1 alpha)))))) (+.f64 alpha (+.f64 beta 3)))

rewrite113.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
534×add-sqr-sqrt
522×pow1
522×*-un-lft-identity
500×add-exp-log
500×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021184
1523184
Stop Event
node limit
Counts
4 → 175
Calls
Call 1
Inputs
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 2 alpha) (neg.f64 (*.f64 beta (+.f64 1 alpha))))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 2 alpha) (neg.f64 (*.f64 beta (+.f64 1 alpha)))))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 2 alpha) (neg.f64 (*.f64 beta (+.f64 1 alpha)))))
(*.f64 beta (+.f64 1 alpha))
Outputs
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beta))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 alpha 1)) (*.f64 (sqrt.f64 (+.f64 alpha 1)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))))) 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (*.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 1 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((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))))) (/.f64 (+.f64 alpha 1) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))))) 2)) (/.f64 (+.f64 alpha 1) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 2))) (pow.f64 (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))) 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 beta (*.f64 alpha beta)) 3))) (+.f64 (pow.f64 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pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha 1) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (neg.f64 (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (*.f64 (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))))) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (/.f64 1 (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta 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(#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 beta (*.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 beta) (*.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 beta (*.f64 alpha beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 beta) (fma.f64 alpha alpha -1)) (+.f64 alpha -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 beta) (-.f64 1 (*.f64 alpha alpha))) (-.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 beta) (+.f64 1 (pow.f64 alpha 3))) (fma.f64 alpha alpha (-.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 beta) (+.f64 1 (pow.f64 alpha 3))) (+.f64 1 (fma.f64 alpha alpha (neg.f64 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 beta (fma.f64 alpha alpha -1)) (+.f64 alpha -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 beta (-.f64 1 (*.f64 alpha alpha))) (-.f64 1 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alpha beta)) 2)) (+.f64 beta (*.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (*.f64 alpha beta) 3)) (+.f64 (*.f64 beta beta) (-.f64 (*.f64 (*.f64 alpha beta) (*.f64 alpha beta)) (*.f64 beta (*.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (+.f64 beta (*.f64 alpha beta)) 3)) (+.f64 0 (+.f64 (pow.f64 (+.f64 beta (*.f64 alpha beta)) 2) (*.f64 0 (+.f64 beta (*.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 beta (*.f64 alpha beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 beta (*.f64 alpha beta))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 beta (*.f64 alpha beta))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 beta (*.f64 alpha beta)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 beta (*.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (*.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (*.f64 alpha beta))))))

simplify234.0ms (1.1%)

Algorithm
egg-herbie
Rules
1814×associate-*r*
1638×associate-*l*
1258×+-commutative
718×associate-+r+
596×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0100629303
1371428817
Stop Event
node limit
Counts
271 → 475
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 2 beta)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 2 beta))) (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 2 beta) 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 2 beta))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (-.f64 2 beta) 2))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (-.f64 2 beta) 2)))) (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 2 beta) 2))))) alpha))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 2 beta))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (-.f64 2 beta) 2))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 2 (*.f64 (-.f64 1 beta) (+.f64 beta 2))) beta) (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 2 beta) 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 2 beta))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (-.f64 2 beta) 2))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (-.f64 2 beta) 2)))) (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 2 beta) 2)))))) (*.f64 (+.f64 beta 2) (-.f64 2 beta))) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (-.f64 2 beta) 2)))))) (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 2 beta) 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 2 beta))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (-.f64 2 beta) 2))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (-.f64 2 beta) 2)))) (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 2 beta) 2))))) alpha)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 2 beta))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 2 (*.f64 (-.f64 1 beta) (+.f64 beta 2))) beta) (-.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (-.f64 2 beta) 2))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 2 (*.f64 (-.f64 1 beta) (+.f64 beta 2))) beta) (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 2 beta) 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 2 beta))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (-.f64 2 beta) 2))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (-.f64 2 beta) 2)))) (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 2 beta) 2)))))) (*.f64 (+.f64 beta 2) (-.f64 2 beta))) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (-.f64 2 beta) 2)))))) (*.f64 (+.f64 beta 2) (-.f64 2 beta))) (/.f64 (*.f64 (-.f64 1 beta) (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 2 beta) 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 2 beta))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (-.f64 2 beta) 2))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (-.f64 2 beta) 2)))) (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 2 beta) 2)))))) (*.f64 (+.f64 beta 2) (-.f64 2 beta)))) (pow.f64 alpha 3))) (+.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (-.f64 2 beta) 2))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 2 (*.f64 (-.f64 1 beta) (+.f64 beta 2))) beta) (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 2 beta) 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 2 beta))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (-.f64 2 beta) 2))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (-.f64 2 beta) 2)))) (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 2 beta) 2)))))) (*.f64 (+.f64 beta 2) (-.f64 2 beta))) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (-.f64 2 beta) 2)))))) (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 2 beta) 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 2 beta))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (-.f64 2 beta) 2))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (-.f64 2 beta) 2)))) (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 2 beta) 2))))) alpha))))
(/.f64 1 (*.f64 (-.f64 1 beta) alpha))
(-.f64 (+.f64 (/.f64 beta (*.f64 (pow.f64 (-.f64 1 beta) 2) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (-.f64 1 beta) alpha))) (+.f64 (/.f64 beta (*.f64 (-.f64 1 beta) (pow.f64 alpha 2))) (+.f64 (/.f64 2 (*.f64 (pow.f64 (-.f64 1 beta) 2) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (-.f64 1 beta) (pow.f64 alpha 2))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 2 (*.f64 (-.f64 1 beta) (+.f64 beta 2))) beta) (-.f64 (/.f64 beta (pow.f64 (-.f64 1 beta) 2)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (-.f64 1 beta) 2))) (+.f64 (/.f64 1 (-.f64 1 beta)) (/.f64 beta (-.f64 1 beta)))))) (-.f64 1 beta)) (/.f64 (*.f64 (+.f64 beta 2) (-.f64 2 beta)) (pow.f64 (-.f64 1 beta) 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (*.f64 (pow.f64 (-.f64 1 beta) 2) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (-.f64 1 beta) alpha)))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 beta) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 beta (*.f64 (-.f64 1 beta) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (-.f64 1 beta) (pow.f64 alpha 2))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 2 (*.f64 (-.f64 1 beta) (+.f64 beta 2))) beta) (-.f64 (/.f64 beta (pow.f64 (-.f64 1 beta) 2)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (-.f64 1 beta) 2))) (+.f64 (/.f64 1 (-.f64 1 beta)) (/.f64 beta (-.f64 1 beta)))))) (-.f64 1 beta)) (/.f64 (*.f64 (+.f64 beta 2) (-.f64 2 beta)) (pow.f64 (-.f64 1 beta) 2))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (*.f64 (pow.f64 (-.f64 1 beta) 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 2 (*.f64 (-.f64 1 beta) (+.f64 beta 2))) beta) (-.f64 (/.f64 beta (pow.f64 (-.f64 1 beta) 2)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (-.f64 1 beta) 2))) (+.f64 (/.f64 1 (-.f64 1 beta)) (/.f64 beta (-.f64 1 beta)))))) (-.f64 1 beta)) (/.f64 (*.f64 (+.f64 beta 2) (-.f64 2 beta)) (pow.f64 (-.f64 1 beta) 2))) (-.f64 (+.f64 2 (*.f64 (-.f64 1 beta) (+.f64 beta 2))) beta)) (-.f64 1 beta))) (/.f64 (*.f64 (+.f64 beta 2) (*.f64 (-.f64 2 beta) (-.f64 (/.f64 beta (pow.f64 (-.f64 1 beta) 2)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (-.f64 1 beta) 2))) (+.f64 (/.f64 1 (-.f64 1 beta)) (/.f64 beta (-.f64 1 beta))))))) (-.f64 1 beta))) (pow.f64 alpha 4))) (/.f64 1 (*.f64 (-.f64 1 beta) alpha))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (-.f64 1 beta) 2) (pow.f64 alpha 2)))) (+.f64 (/.f64 beta (*.f64 (-.f64 1 beta) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (-.f64 1 beta) (pow.f64 alpha 2))))))
(/.f64 1 (*.f64 (+.f64 (*.f64 -1 beta) 1) alpha))
(-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 beta) 1) (pow.f64 alpha 2))) (/.f64 1 (*.f64 (+.f64 (*.f64 -1 beta) 1) alpha))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (*.f64 -1 (-.f64 2 beta))) (*.f64 (pow.f64 (+.f64 (*.f64 -1 beta) 1) 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 beta) 1) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 2 beta)) (*.f64 (pow.f64 (+.f64 (*.f64 -1 beta) 1) 2) (pow.f64 alpha 3)))) (+.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 beta) 1) alpha)) (/.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 beta) 1)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (*.f64 -1 (-.f64 2 beta))) (pow.f64 (+.f64 (*.f64 -1 beta) 1) 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (*.f64 -1 (-.f64 2 beta)))) (*.f64 (+.f64 (*.f64 -1 beta) 1) (pow.f64 alpha 3)))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (*.f64 -1 (-.f64 2 beta))) (*.f64 (pow.f64 (+.f64 (*.f64 -1 beta) 1) 2) (pow.f64 alpha 2)))))
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(*.f64 (+.f64 1 alpha) beta)
(*.f64 (+.f64 1 alpha) beta)
(*.f64 (+.f64 1 alpha) beta)
(*.f64 (+.f64 1 alpha) beta)
beta
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(+.f64 beta (*.f64 beta alpha))
(+.f64 beta (*.f64 beta alpha))
(*.f64 beta alpha)
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(+.f64 beta (*.f64 beta alpha))
(+.f64 beta (*.f64 beta alpha))
(*.f64 beta alpha)
(+.f64 beta (*.f64 beta alpha))
(+.f64 beta (*.f64 beta alpha))
(+.f64 beta (*.f64 beta alpha))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))))))) 1)
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(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))))) 1)
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(pow.f64 (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha 1) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))))) -1)
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(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha 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 (sqrt.f64 (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (sqrt.f64 (+.f64 alpha 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 alpha (+.f64 beta 3))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))))))
(*.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))))) (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))))) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))))) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))))) (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))))) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))))) 2) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))))) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3))))))
(pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3))))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))) 3) 1/3)
(pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha 1) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))))) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))))) (+.f64 (neg.f64 (+.f64 alpha beta)) -3)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))))) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3))))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3))))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 3))))))
(+.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (*.f64 alpha beta))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)))
(+.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (*.f64 alpha beta))))
(+.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) 2) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta (*.f64 alpha beta)))))
(+.f64 (*.f64 (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))) alpha) (*.f64 (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))) (+.f64 beta 2)))
(+.f64 (*.f64 (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))) (+.f64 beta 2)) (*.f64 (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))) alpha))
(+.f64 (*.f64 (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))) (+.f64 alpha beta)) (*.f64 (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))) 2))
(+.f64 (*.f64 2 (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 alpha (+.f64 beta (*.f64 alpha beta))) (+.f64 alpha (+.f64 beta 2))))
(+.f64 (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)) 1) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (*.f64 alpha beta))) 1))
(+.f64 (*.f64 alpha (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))) (*.f64 (+.f64 beta 2) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))))
(+.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))) (*.f64 alpha (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))))
(+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))) (*.f64 2 (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))))) 1)
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (pow.f64 (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))) 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 beta (*.f64 alpha beta)) 3))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 beta (*.f64 alpha beta)) (-.f64 (+.f64 beta (*.f64 alpha beta)) (+.f64 alpha 2)))))
(/.f64 (*.f64 (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (*.f64 (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (*.f64 (pow.f64 (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))) 2) (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 beta (*.f64 alpha beta)) 3)) (+.f64 alpha (+.f64 beta 2))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 beta (*.f64 alpha beta)) (-.f64 (+.f64 beta (*.f64 alpha beta)) (+.f64 alpha 2)))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2))) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (*.f64 alpha beta))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (*.f64 alpha beta))))) (-.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (*.f64 alpha beta)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)) 3) (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (*.f64 alpha beta))) 3)) (+.f64 (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2))) (-.f64 (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (*.f64 alpha beta))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (*.f64 alpha beta)))) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (*.f64 alpha beta)))))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))) 2)) (*.f64 (-.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 beta (*.f64 alpha beta)) 3))) (*.f64 (-.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 beta (*.f64 alpha beta)) (-.f64 (+.f64 beta (*.f64 alpha beta)) (+.f64 alpha 2))))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))) 2)) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 beta (*.f64 alpha beta)) 3))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 beta (*.f64 alpha beta)) (-.f64 (+.f64 beta (*.f64 alpha beta)) (+.f64 alpha 2))))))
(/.f64 (*.f64 (pow.f64 (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))) 2) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))) (-.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (pow.f64 (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))) 2) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 beta (*.f64 alpha beta)) 3)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 beta (*.f64 alpha beta)) (-.f64 (+.f64 beta (*.f64 alpha beta)) (+.f64 alpha 2)))) (-.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 beta (*.f64 alpha beta)) 3)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 beta (*.f64 alpha beta)) (-.f64 (+.f64 beta (*.f64 alpha beta)) (+.f64 alpha 2)))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))) (+.f64 alpha (+.f64 beta 2))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3) (pow.f64 (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))))))
(exp.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))))))
(fma.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (*.f64 alpha beta))))
(fma.f64 (+.f64 alpha 2) (+.f64 alpha (+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta (*.f64 alpha beta))))
(+.f64 beta (*.f64 alpha beta))
(+.f64 beta (*.f64 (*.f64 alpha beta) 1))
(+.f64 0 (+.f64 beta (*.f64 alpha beta)))
(+.f64 (*.f64 alpha beta) beta)
(+.f64 (neg.f64 beta) (*.f64 -1 (*.f64 alpha beta)))
(+.f64 (neg.f64 beta) (*.f64 alpha (neg.f64 beta)))
(+.f64 (neg.f64 beta) (neg.f64 (*.f64 alpha beta)))
(+.f64 (*.f64 (neg.f64 beta) 1) (*.f64 (neg.f64 beta) alpha))
(+.f64 (*.f64 (neg.f64 beta) alpha) (*.f64 (neg.f64 beta) 1))
(+.f64 (*.f64 alpha (neg.f64 beta)) (neg.f64 beta))
(+.f64 (*.f64 beta -1) (*.f64 (*.f64 alpha beta) -1))
(-.f64 0 (+.f64 beta (*.f64 alpha beta)))
(-.f64 (neg.f64 beta) (*.f64 alpha beta))
(-.f64 (exp.f64 (log1p.f64 (+.f64 beta (*.f64 alpha beta)))) 1)
(/.f64 (*.f64 (neg.f64 beta) (fma.f64 alpha alpha -1)) (+.f64 alpha -1))
(/.f64 (*.f64 (neg.f64 beta) (-.f64 1 (*.f64 alpha alpha))) (-.f64 1 alpha))
(/.f64 (*.f64 (neg.f64 beta) (+.f64 1 (pow.f64 alpha 3))) (fma.f64 alpha alpha (-.f64 1 alpha)))
(/.f64 (*.f64 (neg.f64 beta) (+.f64 1 (pow.f64 alpha 3))) (+.f64 1 (fma.f64 alpha alpha (neg.f64 alpha))))
(/.f64 (*.f64 beta (fma.f64 alpha alpha -1)) (+.f64 alpha -1))
(/.f64 (*.f64 beta (-.f64 1 (*.f64 alpha alpha))) (-.f64 1 alpha))
(/.f64 (*.f64 beta (+.f64 1 (pow.f64 alpha 3))) (fma.f64 alpha alpha (-.f64 1 alpha)))
(/.f64 (*.f64 beta (+.f64 1 (pow.f64 alpha 3))) (+.f64 1 (fma.f64 alpha alpha (neg.f64 alpha))))
(/.f64 (*.f64 (fma.f64 alpha alpha -1) beta) (+.f64 alpha -1))
(/.f64 (*.f64 (-.f64 1 (*.f64 alpha alpha)) beta) (-.f64 1 alpha))
(/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) beta) (fma.f64 alpha alpha (-.f64 1 alpha)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) beta) (+.f64 1 (fma.f64 alpha alpha (neg.f64 alpha))))
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 (*.f64 alpha beta) (*.f64 alpha beta))) (-.f64 beta (*.f64 alpha beta)))
(/.f64 (-.f64 0 (pow.f64 (+.f64 beta (*.f64 alpha beta)) 2)) (+.f64 beta (*.f64 alpha beta)))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (*.f64 alpha beta) 3)) (+.f64 (*.f64 beta beta) (-.f64 (*.f64 (*.f64 alpha beta) (*.f64 alpha beta)) (*.f64 beta (*.f64 alpha beta)))))
(/.f64 (-.f64 0 (pow.f64 (+.f64 beta (*.f64 alpha beta)) 3)) (+.f64 0 (+.f64 (pow.f64 (+.f64 beta (*.f64 alpha beta)) 2) (*.f64 0 (+.f64 beta (*.f64 alpha beta))))))
(pow.f64 (+.f64 beta (*.f64 alpha beta)) 1)
(pow.f64 (sqrt.f64 (+.f64 beta (*.f64 alpha beta))) 2)
(pow.f64 (cbrt.f64 (+.f64 beta (*.f64 alpha beta))) 3)
(pow.f64 (pow.f64 (+.f64 beta (*.f64 alpha beta)) 3) 1/3)
(neg.f64 (+.f64 beta (*.f64 alpha beta)))
(sqrt.f64 (pow.f64 (+.f64 beta (*.f64 alpha beta)) 2))
(log.f64 (pow.f64 (exp.f64 beta) (+.f64 alpha 1)))
(cbrt.f64 (pow.f64 (+.f64 beta (*.f64 alpha beta)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 beta 3)))
(cbrt.f64 (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 1) 3)))
(expm1.f64 (log1p.f64 (+.f64 beta (*.f64 alpha beta))))
(exp.f64 (+.f64 (log.f64 beta) (log1p.f64 alpha)))
(exp.f64 (*.f64 (+.f64 (log.f64 beta) (log1p.f64 alpha)) 1))
(log1p.f64 (expm1.f64 (+.f64 beta (*.f64 alpha beta))))
(fma.f64 1 beta (*.f64 alpha beta))
(fma.f64 beta 1 (*.f64 alpha beta))
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (*.f64 alpha beta))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (*.f64 alpha beta))
Outputs
(/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 2 beta)))
(/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 2 beta))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 2 beta))) (*.f64 (-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 2 beta) 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 2 beta))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (-.f64 2 beta) 2))))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 (-.f64 2 beta) 2)))) (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 (-.f64 2 beta) 2))))) alpha))
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(/.f64 1 (*.f64 (-.f64 1 beta) alpha))
(/.f64 1 (*.f64 alpha (-.f64 1 beta)))
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beta
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(+.f64 beta (*.f64 beta alpha))
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(*.f64 beta alpha)
(+.f64 beta (*.f64 beta alpha))
(fma.f64 alpha beta beta)
(+.f64 beta (*.f64 beta alpha))
(fma.f64 alpha beta beta)
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(/.f64 (-.f64 0 (pow.f64 (+.f64 beta (*.f64 alpha beta)) 2)) (+.f64 beta (*.f64 alpha beta)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 alpha beta beta) 2)) (fma.f64 alpha beta beta))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (*.f64 alpha beta) 3)) (+.f64 (*.f64 beta beta) (-.f64 (*.f64 (*.f64 alpha beta) (*.f64 alpha beta)) (*.f64 beta (*.f64 alpha beta)))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (*.f64 beta alpha) 3)) (fma.f64 beta beta (*.f64 (*.f64 beta alpha) (-.f64 (*.f64 beta alpha) beta))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (*.f64 beta alpha) 3)) (fma.f64 beta beta (*.f64 alpha (*.f64 beta (-.f64 (*.f64 beta alpha) beta)))))
(/.f64 (-.f64 0 (pow.f64 (+.f64 beta (*.f64 alpha beta)) 3)) (+.f64 0 (+.f64 (pow.f64 (+.f64 beta (*.f64 alpha beta)) 2) (*.f64 0 (+.f64 beta (*.f64 alpha beta))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 alpha beta beta) 3)) (+.f64 0 (pow.f64 (fma.f64 alpha beta beta) 2)))
(pow.f64 (+.f64 beta (*.f64 alpha beta)) 1)
(fma.f64 alpha beta beta)
(pow.f64 (sqrt.f64 (+.f64 beta (*.f64 alpha beta))) 2)
(pow.f64 (sqrt.f64 (fma.f64 alpha beta beta)) 2)
(pow.f64 (cbrt.f64 (+.f64 beta (*.f64 alpha beta))) 3)
(fma.f64 alpha beta beta)
(pow.f64 (pow.f64 (+.f64 beta (*.f64 alpha beta)) 3) 1/3)
(fma.f64 alpha beta beta)
(neg.f64 (+.f64 beta (*.f64 alpha beta)))
(neg.f64 (fma.f64 alpha beta beta))
(sqrt.f64 (pow.f64 (+.f64 beta (*.f64 alpha beta)) 2))
(sqrt.f64 (pow.f64 (fma.f64 alpha beta beta) 2))
(log.f64 (pow.f64 (exp.f64 beta) (+.f64 alpha 1)))
(*.f64 (+.f64 1 alpha) (log.f64 (exp.f64 beta)))
(cbrt.f64 (pow.f64 (+.f64 beta (*.f64 alpha beta)) 3))
(fma.f64 alpha beta beta)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 beta 3)))
(cbrt.f64 (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 1 alpha) 3)))
(cbrt.f64 (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 beta 3) (pow.f64 (+.f64 1 alpha) 3)))
(expm1.f64 (log1p.f64 (+.f64 beta (*.f64 alpha beta))))
(fma.f64 alpha beta beta)
(exp.f64 (+.f64 (log.f64 beta) (log1p.f64 alpha)))
(exp.f64 (+.f64 (log1p.f64 alpha) (log.f64 beta)))
(exp.f64 (*.f64 (+.f64 (log.f64 beta) (log1p.f64 alpha)) 1))
(exp.f64 (+.f64 (log1p.f64 alpha) (log.f64 beta)))
(log1p.f64 (expm1.f64 (+.f64 beta (*.f64 alpha beta))))
(fma.f64 alpha beta beta)
(fma.f64 1 beta (*.f64 alpha beta))
(fma.f64 1 beta (*.f64 beta alpha))
(fma.f64 beta 1 (*.f64 alpha beta))
(fma.f64 beta 1 (*.f64 beta alpha))
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (*.f64 alpha beta))
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (*.f64 beta alpha))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (*.f64 alpha beta))
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (*.f64 beta alpha))

eval2.2s (10.6%)

Compiler

Compiled 98374 to 73602 computations (25.2% saved)

prune533.0ms (2.5%)

Pruning

29 alts after pruning (26 fresh and 3 done)

PrunedKeptTotal
New1630181648
Fresh6814
Picked101
Done134
Total1638291667
Error
0%
Counts
1667 → 29
Alt Table
Click to see full alt table
StatusErrorProgram
45.83%
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 (neg.f64 (/.f64 (+.f64 alpha 2) beta))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) 2)
51.52%
(pow.f64 beta -2)
30.8%
(/.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 2 beta)) (+.f64 alpha (+.f64 beta 3)))
5.93%
(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 beta 2) (+.f64 alpha (*.f64 beta alpha))) 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
7.6%
(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
3.34%
(/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (-.f64 -3 (+.f64 alpha beta)) (+.f64 1 beta))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
97.92%
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
73.35%
(/.f64 (/.f64 (+.f64 alpha (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
36.6%
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
1.06%
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
27.73%
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
56.77%
(/.f64 (/.f64 (+.f64 alpha 1) (expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))))))) (+.f64 alpha (+.f64 beta 3)))
44.43%
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
52.05%
(/.f64 (-.f64 1 (/.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
30.43%
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
95.56%
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (*.f64 alpha alpha)))
78.15%
(/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 (-.f64 alpha beta) -2))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 (-.f64 alpha beta) -2))))
41.83%
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
48.59%
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
96.5%
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
7.61%
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
71.18%
(/.f64 alpha (*.f64 beta beta))
30.98%
(/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (-.f64 2 beta))))
30.99%
(/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 (-.f64 2 beta) (+.f64 beta 3))))
45.2%
(/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
51.93%
(/.f64 1 (*.f64 beta beta))
97.5%
(/.f64 1 alpha)
52.89%
(/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2))
45.62%
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
Compiler

Compiled 957 to 685 computations (28.4% saved)

localize56.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.02%
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1))))
0.04%
(/.f64 (+.f64 beta 2) (+.f64 beta 1))
0.04%
(*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))
0.12%
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
Compiler

Compiled 89 to 61 computations (31.5% saved)

series18.0ms (0.1%)

Counts
4 → 84
Calls

21 calls:

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

rewrite125.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
017172
1415172
26597172
Stop Event
node limit
Counts
4 → 169
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))
(/.f64 (+.f64 beta 2) (+.f64 beta 1))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (/.f64 1 (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (+.f64 3 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta))))) (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))) (*.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta))))) 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 3 (+.f64 alpha beta))) (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -1 alpha) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (-.f64 -3 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) 1) (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))) (+.f64 3 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))) (/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2)) (/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))) (cbrt.f64 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha 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 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.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 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.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 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2)) (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))) (cbrt.f64 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))) 1) (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 3 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2)) (/.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))) (cbrt.f64 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))) (+.f64 3 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))) 2) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))) (/.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 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simplify216.0ms (1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
091523711
1319723531
Stop Event
node limit
Counts
253 → 447
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))))) (pow.f64 alpha 2))))))
(+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 5))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))))) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) alpha))
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(/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1))
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(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(*.f64 2 (+.f64 2 alpha))
(+.f64 (*.f64 (-.f64 (+.f64 4 alpha) (*.f64 2 (+.f64 2 alpha))) beta) (*.f64 2 (+.f64 2 alpha)))
(+.f64 (*.f64 (-.f64 (+.f64 4 alpha) (*.f64 2 (+.f64 2 alpha))) beta) (+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 2 alpha)) (+.f64 3 alpha)) (pow.f64 beta 2)) (*.f64 2 (+.f64 2 alpha))))
(+.f64 (*.f64 (-.f64 (+.f64 4 alpha) (*.f64 2 (+.f64 2 alpha))) beta) (+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 2 alpha)) (+.f64 3 alpha)) (pow.f64 beta 2)) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 3 alpha) (*.f64 2 (+.f64 2 alpha)))) (*.f64 2 (+.f64 2 alpha)))))
beta
(+.f64 beta (+.f64 3 alpha))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 alpha (*.f64 2 (/.f64 (+.f64 2 alpha) beta))))) (+.f64 (/.f64 alpha beta) (*.f64 3 (/.f64 1 beta))))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 (/.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 2))) (/.f64 alpha (pow.f64 beta 2))))))) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 3 (/.f64 1 beta)) (*.f64 2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))))
beta
(-.f64 (+.f64 beta (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))) 1)
(-.f64 (+.f64 beta (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 -1 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) 1))) beta)) (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) 1)
(-.f64 (+.f64 beta (+.f64 (*.f64 -2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 -1 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) 1))) beta)) (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) 1) (pow.f64 beta 2)))))
2
(+.f64 (*.f64 -1 beta) 2)
(+.f64 (*.f64 -1 beta) (+.f64 2 (pow.f64 beta 2)))
(+.f64 (*.f64 -1 beta) (+.f64 2 (+.f64 (*.f64 -1 (pow.f64 beta 3)) (pow.f64 beta 2))))
1
(+.f64 (/.f64 1 beta) 1)
(-.f64 (+.f64 (/.f64 1 beta) 1) (/.f64 1 (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 1 (pow.f64 beta 3)))) (/.f64 1 (pow.f64 beta 2)))
1
(+.f64 (/.f64 1 beta) 1)
(-.f64 (+.f64 (/.f64 1 beta) 1) (/.f64 1 (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 1 (pow.f64 beta 3)))) (/.f64 1 (pow.f64 beta 2)))
(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) alpha) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) alpha) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 5)) (/.f64 1 (pow.f64 (+.f64 beta 2) 5)))) (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3)))) alpha) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (+.f64 beta 2))))) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 beta 1))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (+.f64 beta 2)))))) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 beta 1))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 beta 1))) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (+.f64 beta 2))))))) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 -1 (+.f64 beta 1))) alpha)) (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 -1 (+.f64 beta 1))) alpha)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 -1 (+.f64 beta 1))) (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 -1 (+.f64 beta 1))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 -1 (+.f64 beta 1))) alpha)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 -1 (+.f64 beta 1))) (+.f64 beta 2)) (pow.f64 alpha 2)) (/.f64 beta (+.f64 beta 2))))))
(*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 alpha)) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 4 alpha) (-.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 4 alpha) (+.f64 1 alpha)) (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 alpha)) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 4 alpha) (+.f64 1 alpha)) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 4 alpha) (+.f64 (*.f64 1/4 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 4 alpha) (-.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 alpha)) (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 2 alpha))))) (+.f64 2 alpha)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 4 alpha) (-.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 4 alpha) (+.f64 1 alpha)) (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 alpha)) (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 1/2 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha))))))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (/.f64 (*.f64 (+.f64 4 alpha) (+.f64 1 alpha)) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 4 alpha) (+.f64 1 alpha))) (+.f64 4 alpha)) (*.f64 2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 alpha)) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 4 alpha) (+.f64 1 alpha))) (+.f64 4 alpha)) (*.f64 2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 4 alpha) (+.f64 1 alpha))) (+.f64 2 alpha))) (*.f64 -1 (*.f64 (+.f64 4 alpha) (+.f64 (*.f64 (+.f64 4 alpha) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 alpha)))) (*.f64 2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha))))))) (pow.f64 beta 4))) (/.f64 alpha (pow.f64 beta 2))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 alpha)) (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 -1 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -2 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3)))))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 -1 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 -1 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) (*.f64 -2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))) (*.f64 2 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 -1 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) (+.f64 2 alpha)))) (pow.f64 beta 4))) (*.f64 -2 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 3))))))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) (pow.f64 beta 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta)))))) 1)
(*.f64 1 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (+.f64 alpha 1) (*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (+.f64 alpha 1) (/.f64 1 (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (+.f64 3 (+.f64 alpha beta))))
(*.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta)))) 1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta))))) (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta))))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))) (*.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta))))) 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (+.f64 3 (+.f64 alpha beta))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (+.f64 3 (+.f64 alpha beta))) (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (*.f64 (-.f64 -1 alpha) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))) (/.f64 1 (-.f64 -3 (+.f64 alpha beta))))
(*.f64 (/.f64 (+.f64 alpha 1) 1) (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))) (+.f64 3 (+.f64 alpha beta))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))) (/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2)) (/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))) (cbrt.f64 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha 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 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.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 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)))))
(*.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))) (/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha 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 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))) (cbrt.f64 (+.f64 3 (+.f64 alpha beta)))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 2 (+.f64 alpha beta))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 2 (+.f64 alpha beta))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (+.f64 2 (+.f64 alpha beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (sqrt.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (sqrt.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)))) 2)) (cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))))
(pow.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))) 3) 1/3)
(pow.f64 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 alpha 1) (+.f64 1 beta))) -1)
(neg.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 (-.f64 -2 beta) (-.f64 -1 beta)) (neg.f64 (+.f64 2 (+.f64 alpha beta))))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 alpha 1)) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))))
(exp.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta)))) (log1p.f64 beta))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta)))) (log1p.f64 beta))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))))
Outputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 1)) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) alpha (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) alpha (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))))) (pow.f64 alpha 2))))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 1)) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) alpha (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 1)) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))))) (*.f64 alpha alpha)))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) alpha (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (*.f64 alpha (*.f64 alpha (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))))))))))
(+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 5))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))))) (pow.f64 alpha 2)))))))
(fma.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 1)) (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 5))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (neg.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 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 1)) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))))))) (pow.f64 alpha 3) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 1)) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) alpha (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (+.f64 beta 1)) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))))) (*.f64 alpha alpha))))))
(fma.f64 (-.f64 (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 5))) (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (neg.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 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3)))))) (pow.f64 alpha 3) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) alpha (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (neg.f64 (*.f64 alpha (*.f64 alpha (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3)))))))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) alpha))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha)
(-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (*.f64 (+.f64 beta 2) alpha))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (*.f64 alpha alpha))) (-.f64 (+.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 alpha alpha)) (+.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) alpha) (/.f64 (/.f64 beta (+.f64 beta 2)) alpha))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 alpha alpha)))))
(+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (*.f64 alpha alpha))) (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) alpha)) (/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 alpha alpha))))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta 2) (pow.f64 (+.f64 beta 2) 2)) (*.f64 alpha alpha)))))
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(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))))))) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))))))) (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2) (+.f64 3 alpha)) (*.f64 -2 (+.f64 2 alpha)))))) (pow.f64 beta 4))))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (neg.f64 (fma.f64 -1 (+.f64 2 alpha) -2))))))) (pow.f64 beta 3)) (/.f64 alpha (*.f64 beta beta))) (neg.f64 (/.f64 (fma.f64 -1 (*.f64 (+.f64 3 (+.f64 alpha (neg.f64 (fma.f64 -1 (+.f64 2 alpha) -2)))) (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (neg.f64 (fma.f64 -1 (+.f64 2 alpha) -2)))))))) (*.f64 (neg.f64 (+.f64 1 alpha)) (fma.f64 (fma.f64 -1 (+.f64 2 alpha) -2) (+.f64 3 alpha) (+.f64 -4 (*.f64 -2 alpha))))) (pow.f64 beta 4)))))
(+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 alpha (*.f64 beta beta)) (+.f64 (/.f64 (*.f64 1 (+.f64 (*.f64 (*.f64 (+.f64 (+.f64 3 alpha) (neg.f64 (fma.f64 -1 (+.f64 2 alpha) -2))) -1) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 (+.f64 3 alpha) (neg.f64 (fma.f64 -1 (+.f64 2 alpha) -2)))))) (*.f64 (+.f64 1 alpha) (fma.f64 (fma.f64 -1 (+.f64 2 alpha) -2) (+.f64 3 alpha) (+.f64 -4 (*.f64 -2 alpha)))))) (pow.f64 beta 4)) (/.f64 (*.f64 1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 (+.f64 3 alpha) (neg.f64 (fma.f64 -1 (+.f64 2 alpha) -2)))))) (pow.f64 beta 3)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))))))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2) (+.f64 3 alpha)) (*.f64 -2 (+.f64 2 alpha)))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))))))) (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 (+.f64 3 alpha) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))))) (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))))) (pow.f64 beta 5)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))))))) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))))))) (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2) (+.f64 3 alpha)) (*.f64 -2 (+.f64 2 alpha)))))) (pow.f64 beta 4))) (*.f64 -2 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (pow.f64 beta 5)))))))))
(fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (neg.f64 (fma.f64 -1 (+.f64 2 alpha) -2))))))) (/.f64 (pow.f64 beta 5) (fma.f64 (fma.f64 -1 (+.f64 2 alpha) -2) (+.f64 3 alpha) (+.f64 -4 (*.f64 -2 alpha))))) (+.f64 (/.f64 1 (*.f64 beta beta)) (+.f64 (/.f64 (fma.f64 -1 (*.f64 (+.f64 3 (+.f64 alpha (neg.f64 (fma.f64 -1 (+.f64 2 alpha) -2)))) (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (neg.f64 (fma.f64 -1 (+.f64 2 alpha) -2)))))))) (*.f64 (neg.f64 (+.f64 1 alpha)) (fma.f64 (fma.f64 -1 (+.f64 2 alpha) -2) (+.f64 3 alpha) (+.f64 -4 (*.f64 -2 alpha))))) (/.f64 (pow.f64 beta 5) (+.f64 3 (+.f64 alpha (neg.f64 (fma.f64 -1 (+.f64 2 alpha) -2)))))) (+.f64 (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (neg.f64 (fma.f64 -1 (+.f64 2 alpha) -2))))))) (pow.f64 beta 3)) (/.f64 alpha (*.f64 beta beta))) (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (+.f64 3 (+.f64 alpha (neg.f64 (fma.f64 -1 (+.f64 2 alpha) -2)))) (*.f64 -1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 3 (+.f64 alpha (neg.f64 (fma.f64 -1 (+.f64 2 alpha) -2)))))))) (*.f64 (neg.f64 (+.f64 1 alpha)) (fma.f64 (fma.f64 -1 (+.f64 2 alpha) -2) (+.f64 3 alpha) (+.f64 -4 (*.f64 -2 alpha))))) (pow.f64 beta 4)) (*.f64 -2 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (pow.f64 beta 5))))))))
(+.f64 (+.f64 (/.f64 (*.f64 1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 (+.f64 3 alpha) (neg.f64 (fma.f64 -1 (+.f64 2 alpha) -2)))))) (pow.f64 beta 3)) (+.f64 (+.f64 (/.f64 alpha (*.f64 beta beta)) (fma.f64 -1 (/.f64 (+.f64 (*.f64 (*.f64 1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 (+.f64 3 alpha) (neg.f64 (fma.f64 -1 (+.f64 2 alpha) -2)))))) (+.f64 (+.f64 3 alpha) (neg.f64 (fma.f64 -1 (+.f64 2 alpha) -2)))) (*.f64 (neg.f64 (+.f64 1 alpha)) (fma.f64 (fma.f64 -1 (+.f64 2 alpha) -2) (+.f64 3 alpha) (+.f64 -4 (*.f64 -2 alpha))))) (pow.f64 beta 4)) (/.f64 (*.f64 -2 (+.f64 1 alpha)) (/.f64 (pow.f64 beta 5) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))) (/.f64 (+.f64 (*.f64 (*.f64 1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 (+.f64 3 alpha) (neg.f64 (fma.f64 -1 (+.f64 2 alpha) -2)))))) (+.f64 (+.f64 3 alpha) (neg.f64 (fma.f64 -1 (+.f64 2 alpha) -2)))) (*.f64 (neg.f64 (+.f64 1 alpha)) (fma.f64 (fma.f64 -1 (+.f64 2 alpha) -2) (+.f64 3 alpha) (+.f64 -4 (*.f64 -2 alpha))))) (/.f64 (pow.f64 beta 5) (+.f64 (+.f64 3 alpha) (neg.f64 (fma.f64 -1 (+.f64 2 alpha) -2))))))) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 (*.f64 1 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 (+.f64 3 alpha) (neg.f64 (fma.f64 -1 (+.f64 2 alpha) -2)))))) (/.f64 (pow.f64 beta 5) (fma.f64 (fma.f64 -1 (+.f64 2 alpha) -2) (+.f64 3 alpha) (+.f64 -4 (*.f64 -2 alpha)))))))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 alpha (+.f64 (/.f64 beta (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1)))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 alpha (+.f64 (/.f64 beta (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1)))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 alpha (+.f64 (/.f64 beta (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1)))))
(/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1))
(/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 1) alpha))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 1) alpha)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 1) alpha)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 1) alpha)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)))
(/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1))
(/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 1) alpha))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 1) alpha)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 1) alpha)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 1) alpha)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)))
(*.f64 2 (+.f64 2 alpha))
(+.f64 4 (*.f64 2 alpha))
(+.f64 (*.f64 (-.f64 (+.f64 4 alpha) (*.f64 2 (+.f64 2 alpha))) beta) (*.f64 2 (+.f64 2 alpha)))
(fma.f64 (+.f64 (+.f64 4 alpha) (+.f64 -4 (*.f64 -2 alpha))) beta (+.f64 4 (*.f64 2 alpha)))
(fma.f64 (-.f64 (+.f64 4 alpha) (+.f64 4 (*.f64 2 alpha))) beta (+.f64 4 (*.f64 2 alpha)))
(+.f64 (*.f64 (-.f64 (+.f64 4 alpha) (*.f64 2 (+.f64 2 alpha))) beta) (+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 2 alpha)) (+.f64 3 alpha)) (pow.f64 beta 2)) (*.f64 2 (+.f64 2 alpha))))
(fma.f64 (+.f64 (+.f64 4 alpha) (+.f64 -4 (*.f64 -2 alpha))) beta (fma.f64 (-.f64 (+.f64 4 (*.f64 2 alpha)) (+.f64 3 alpha)) (*.f64 beta beta) (+.f64 4 (*.f64 2 alpha))))
(fma.f64 (-.f64 (+.f64 4 alpha) (+.f64 4 (*.f64 2 alpha))) beta (fma.f64 (-.f64 (+.f64 4 (*.f64 2 alpha)) (+.f64 3 alpha)) (*.f64 beta beta) (+.f64 4 (*.f64 2 alpha))))
(+.f64 (*.f64 (-.f64 (+.f64 4 alpha) (*.f64 2 (+.f64 2 alpha))) beta) (+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 2 alpha)) (+.f64 3 alpha)) (pow.f64 beta 2)) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 3 alpha) (*.f64 2 (+.f64 2 alpha)))) (*.f64 2 (+.f64 2 alpha)))))
(fma.f64 (+.f64 (+.f64 4 alpha) (+.f64 -4 (*.f64 -2 alpha))) beta (fma.f64 (-.f64 (+.f64 4 (*.f64 2 alpha)) (+.f64 3 alpha)) (*.f64 beta beta) (fma.f64 (pow.f64 beta 3) (+.f64 3 (-.f64 alpha (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha)))))
(fma.f64 (-.f64 (+.f64 4 alpha) (+.f64 4 (*.f64 2 alpha))) beta (fma.f64 (-.f64 (+.f64 4 (*.f64 2 alpha)) (+.f64 3 alpha)) (*.f64 beta beta) (fma.f64 (pow.f64 beta 3) (-.f64 (-.f64 (+.f64 3 alpha) 4) (*.f64 2 alpha)) (+.f64 4 (*.f64 2 alpha)))))
beta
(+.f64 beta (+.f64 3 alpha))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 alpha (*.f64 2 (/.f64 (+.f64 2 alpha) beta))))) (+.f64 (/.f64 alpha beta) (*.f64 3 (/.f64 1 beta))))
(+.f64 beta (-.f64 (+.f64 3 (+.f64 alpha (/.f64 (+.f64 4 (*.f64 2 alpha)) beta))) (+.f64 (/.f64 alpha beta) (/.f64 3 beta))))
(+.f64 beta (+.f64 3 (-.f64 (+.f64 alpha (/.f64 (+.f64 4 (*.f64 2 alpha)) beta)) (+.f64 (/.f64 alpha beta) (/.f64 3 beta)))))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 (/.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 2))) (/.f64 alpha (pow.f64 beta 2))))))) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 3 (/.f64 1 beta)) (*.f64 2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))))
(+.f64 beta (-.f64 (+.f64 3 (fma.f64 2 (/.f64 (+.f64 2 alpha) beta) (+.f64 alpha (+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 3 (*.f64 beta beta)))))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 3 beta) (/.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 beta beta))))))
(+.f64 beta (+.f64 3 (-.f64 (fma.f64 2 (/.f64 (+.f64 2 alpha) beta) (+.f64 (/.f64 3 (*.f64 beta beta)) (+.f64 (/.f64 alpha (*.f64 beta beta)) alpha))) (+.f64 (/.f64 3 beta) (+.f64 (/.f64 alpha beta) (/.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 beta beta)))))))
beta
(-.f64 (+.f64 beta (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))) 1)
(+.f64 beta (fma.f64 -1 (fma.f64 -1 (+.f64 2 alpha) -2) -1))
(-.f64 (+.f64 beta (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 -1 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) 1))) beta)) (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) 1)
(+.f64 beta (-.f64 (*.f64 -1 (+.f64 (/.f64 (-.f64 (+.f64 -4 (*.f64 -2 alpha)) (neg.f64 (fma.f64 -1 (fma.f64 -1 (+.f64 2 alpha) -2) -1))) beta) (fma.f64 -1 (+.f64 2 alpha) -2))) 1))
(+.f64 beta (+.f64 (*.f64 -1 (+.f64 (fma.f64 -1 (+.f64 2 alpha) -2) (/.f64 (+.f64 -4 (-.f64 (*.f64 -2 alpha) (neg.f64 (fma.f64 -1 (fma.f64 -1 (+.f64 2 alpha) -2) -1)))) beta))) -1))
(-.f64 (+.f64 beta (+.f64 (*.f64 -2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 -1 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) 1))) beta)) (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) 1) (pow.f64 beta 2)))))
(+.f64 beta (-.f64 (fma.f64 -2 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)) (*.f64 -1 (+.f64 (/.f64 (-.f64 (+.f64 -4 (*.f64 -2 alpha)) (neg.f64 (fma.f64 -1 (fma.f64 -1 (+.f64 2 alpha) -2) -1))) beta) (fma.f64 -1 (+.f64 2 alpha) -2)))) (+.f64 1 (/.f64 (neg.f64 (fma.f64 -1 (fma.f64 -1 (+.f64 2 alpha) -2) -1)) (*.f64 beta beta)))))
(+.f64 (fma.f64 -2 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)) (*.f64 -1 (+.f64 (fma.f64 -1 (+.f64 2 alpha) -2) (/.f64 (+.f64 -4 (-.f64 (*.f64 -2 alpha) (neg.f64 (fma.f64 -1 (fma.f64 -1 (+.f64 2 alpha) -2) -1)))) beta)))) (-.f64 beta (+.f64 1 (/.f64 (neg.f64 (fma.f64 -1 (fma.f64 -1 (+.f64 2 alpha) -2) -1)) (*.f64 beta beta)))))
2
(+.f64 (*.f64 -1 beta) 2)
(fma.f64 -1 beta 2)
(+.f64 (*.f64 -1 beta) (+.f64 2 (pow.f64 beta 2)))
(+.f64 (fma.f64 -1 beta 2) (*.f64 beta beta))
(+.f64 (*.f64 beta beta) (fma.f64 -1 beta 2))
(+.f64 (*.f64 -1 beta) (+.f64 2 (+.f64 (*.f64 -1 (pow.f64 beta 3)) (pow.f64 beta 2))))
(+.f64 (fma.f64 -1 beta 2) (fma.f64 -1 (pow.f64 beta 3) (*.f64 beta beta)))
1
(+.f64 (/.f64 1 beta) 1)
(+.f64 1 (/.f64 1 beta))
(-.f64 (+.f64 (/.f64 1 beta) 1) (/.f64 1 (pow.f64 beta 2)))
(+.f64 (/.f64 1 beta) (-.f64 1 (/.f64 1 (*.f64 beta beta))))
(-.f64 (+.f64 1 (/.f64 1 beta)) (/.f64 1 (*.f64 beta beta)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 1 (pow.f64 beta 3)))) (/.f64 1 (pow.f64 beta 2)))
(+.f64 (/.f64 1 beta) (-.f64 (+.f64 1 (/.f64 1 (pow.f64 beta 3))) (/.f64 1 (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 3)) (-.f64 1 (/.f64 1 (*.f64 beta beta)))))
1
(+.f64 (/.f64 1 beta) 1)
(+.f64 1 (/.f64 1 beta))
(-.f64 (+.f64 (/.f64 1 beta) 1) (/.f64 1 (pow.f64 beta 2)))
(+.f64 (/.f64 1 beta) (-.f64 1 (/.f64 1 (*.f64 beta beta))))
(-.f64 (+.f64 1 (/.f64 1 beta)) (/.f64 1 (*.f64 beta beta)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 1 (/.f64 1 (pow.f64 beta 3)))) (/.f64 1 (pow.f64 beta 2)))
(+.f64 (/.f64 1 beta) (-.f64 (+.f64 1 (/.f64 1 (pow.f64 beta 3))) (/.f64 1 (*.f64 beta beta))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 3)) (-.f64 1 (/.f64 1 (*.f64 beta beta)))))
(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
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(sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha)))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 alpha 1)) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))))
(*.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 -2 beta))) (log.f64 (exp.f64 (+.f64 1 alpha))))
(*.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta (+.f64 2 alpha)) (-.f64 -2 beta))) (log.f64 (exp.f64 (+.f64 1 alpha))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta)))) 3))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (-.f64 -2 beta) (-.f64 -1 beta))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha))))
(exp.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta)))) (log1p.f64 beta))))
(exp.f64 (+.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))))) (log1p.f64 beta)))
(exp.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))) (log1p.f64 beta))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 alpha beta)))) (log1p.f64 beta))) 1))
(exp.f64 (+.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))))) (log1p.f64 beta)))
(exp.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log.f64 (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))) (log1p.f64 beta))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (+.f64 2 (+.f64 alpha beta))))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))))
(*.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 beta)) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 2 alpha))))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.01%
(/.f64 (+.f64 alpha 1) beta)
0.24%
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
Compiler

Compiled 33 to 21 computations (36.4% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite82.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01144
125744
2384844
Stop Event
node limit
Counts
2 → 125
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 alpha 1) beta)
Outputs
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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)))))))

simplify163.0ms (0.8%)

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)))
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(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (neg.f64 beta)) (-.f64 -1 alpha))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (*.f64 (neg.f64 beta) (+.f64 (+.f64 beta 3) alpha))))
(/.f64 (-.f64 -1 alpha) (*.f64 (+.f64 beta (+.f64 3 alpha)) (neg.f64 beta)))
(*.f64 (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 beta 1)) (+.f64 alpha 1))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 3 alpha)))
(*.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 alpha) beta) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 3 alpha)))
(*.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 1 alpha) beta) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) (+.f64 beta (+.f64 3 alpha)))
(*.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 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (neg.f64 (+.f64 (-.f64 alpha beta) -3)))
(*.f64 (+.f64 alpha (-.f64 -3 beta)) (/.f64 (/.f64 (-.f64 -1 alpha) beta) (-.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha alpha))))
(*.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 1 alpha) (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))) beta)) (neg.f64 (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 -1 alpha) (*.f64 beta (-.f64 (neg.f64 (pow.f64 alpha 3)) (pow.f64 (+.f64 beta 3) 3)))))
(*.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 1 alpha) beta) (*.f64 (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (sqrt.f64 (+.f64 (+.f64 beta 3) alpha)))) (sqrt.f64 (+.f64 (-.f64 alpha beta) -3)))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (*.f64 beta (sqrt.f64 (+.f64 beta (+.f64 3 alpha)))))) (sqrt.f64 (+.f64 alpha (-.f64 -3 beta))))
(*.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 1 alpha) beta) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))) (sqrt.f64 (+.f64 (+.f64 beta 3) alpha)))) (sqrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)) (*.f64 alpha alpha))) (/.f64 (+.f64 1 alpha) beta)) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 3 alpha))) (hypot.f64 (pow.f64 (+.f64 beta 3) 3/2) (pow.f64 alpha 3/2))))
(*.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 1 alpha) beta) (*.f64 (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 3) alpha)) 2))) (cbrt.f64 (+.f64 (-.f64 alpha beta) -3)))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (*.f64 beta (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 3 alpha))) 2)))) (cbrt.f64 (+.f64 alpha (-.f64 -3 beta))))
(*.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))))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 beta 3) alpha)) 2))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 1 alpha) beta) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 3 alpha))) 2)) (cbrt.f64 (fma.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)) (*.f64 alpha alpha))))
(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)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.02%
(+.f64 (*.f64 2/9 beta) 1/3)
0.04%
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
0.57%
(*.f64 2/9 beta)
25.2%
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
Compiler

Compiled 51 to 35 computations (31.4% saved)

series7.0ms (0%)

Counts
3 → 33
Calls

12 calls:

TimeVariablePointExpression
2.0ms
alpha
@0
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms
beta
@0
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms
alpha
@inf
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms
alpha
@-inf
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms
beta
@inf
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

rewrite92.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify91.0ms (0.4%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
058010021
118869863
Stop Event
node limit
Counts
165 → 285
Calls
Call 1
Inputs
(/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 beta (-.f64 (*.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))))))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 beta (-.f64 (*.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (*.f64 (-.f64 (*.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 6))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (*.f64 (-.f64 (*.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 beta (-.f64 (*.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (*.f64 (-.f64 (*.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))))))
(/.f64 2/9 beta)
(-.f64 (+.f64 (*.f64 2/9 (/.f64 1 beta)) (*.f64 1/3 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2/9 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 2/9 (/.f64 1 beta)) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 1/3 (*.f64 2/9 (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha))) (*.f64 2/9 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 3))))) (*.f64 2/9 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 2/9 (/.f64 1 beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 1/3 (*.f64 2/9 (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (*.f64 (+.f64 (*.f64 (-.f64 1/3 (*.f64 2/9 (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha))) (*.f64 2/9 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (*.f64 2 alpha))))) (pow.f64 beta 4))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 1/3 (*.f64 2/9 (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha))) (*.f64 2/9 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 3)))))) (*.f64 2/9 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 beta 2))))
(/.f64 2/9 beta)
(-.f64 (+.f64 (*.f64 2/9 (/.f64 1 beta)) (*.f64 1/3 (/.f64 1 (pow.f64 beta 2)))) (*.f64 4/9 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 2/9 (/.f64 1 beta)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 1/3 (*.f64 4/9 (+.f64 2 alpha))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (*.f64 -2/9 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (*.f64 1/3 (/.f64 1 (pow.f64 beta 2)))))) (*.f64 4/9 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 2/9 (/.f64 1 beta)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 1/3 (*.f64 4/9 (+.f64 2 alpha))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 1/3 (*.f64 4/9 (+.f64 2 alpha))) (+.f64 2 alpha))) (*.f64 -2/9 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha))) (*.f64 (-.f64 1/3 (*.f64 4/9 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4))) (+.f64 (*.f64 -2/9 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (*.f64 1/3 (/.f64 1 (pow.f64 beta 2))))))) (*.f64 4/9 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1/3 (*.f64 2/9 beta)) (*.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (pow.f64 (+.f64 beta 2) 4))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1/3 (*.f64 2/9 beta)) (*.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (pow.f64 (+.f64 beta 2) 6))) (*.f64 2/9 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1/3 (*.f64 2/9 beta)) (*.f64 (+.f64 4 (*.f64 2 beta)) alpha)) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (pow.f64 (+.f64 beta 2) 6))) (*.f64 2/9 (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2/9 beta) 1/3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 6))) (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1/3 (*.f64 2/9 beta)) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)) (pow.f64 (+.f64 beta 2) 6))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 4))) (*.f64 2/9 (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (pow.f64 (+.f64 beta 2) 2)))))) (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1/3 (*.f64 2/9 beta)) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 3)))))
(+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1/3 (*.f64 2/9 beta)) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1/3 (*.f64 2/9 beta)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 (+.f64 4 (*.f64 2 beta)) 2)))) (pow.f64 alpha 4))))))
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1/3
(*.f64 2/9 beta)
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(*.f64 (/.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) (-.f64 (*.f64 8/729 (pow.f64 beta 3)) 1/27)) (+.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) 1/9) (*.f64 beta 2/27)))
(*.f64 (/.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))) (-.f64 (*.f64 (*.f64 4/81 (*.f64 beta beta)) (*.f64 4/81 (*.f64 beta beta))) (*.f64 (-.f64 1/9 (*.f64 beta 2/27)) (-.f64 1/9 (*.f64 beta 2/27))))) (+.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) (*.f64 beta 2/27)))
(*.f64 (/.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))) (+.f64 (pow.f64 (*.f64 4/81 (*.f64 beta beta)) 3) (pow.f64 (-.f64 1/9 (*.f64 beta 2/27)) 3))) (+.f64 (*.f64 (*.f64 4/81 (*.f64 beta beta)) (*.f64 4/81 (*.f64 beta beta))) (-.f64 (*.f64 (-.f64 1/9 (*.f64 beta 2/27)) (-.f64 1/9 (*.f64 beta 2/27))) (*.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))))))
(/.f64 (fma.f64 2/9 beta 1/3) 1)
(/.f64 1 (/.f64 1 (fma.f64 2/9 beta 1/3)))
(/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (/.f64 1 (sqrt.f64 (fma.f64 2/9 beta 1/3))))
(/.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) (/.f64 1 (cbrt.f64 (fma.f64 2/9 beta 1/3))))
(/.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) (fma.f64 2/9 beta -1/3))
(/.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) (/.f64 1 (/.f64 1 (fma.f64 2/9 beta -1/3))))
(/.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))) (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))))
(/.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))) (/.f64 1 (/.f64 1 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))))))
(/.f64 (sqrt.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3)))) (/.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))) (sqrt.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9)) (/.f64 (fma.f64 2/9 beta -1/3) (sqrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3)))) (cbrt.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))))) (/.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))) (cbrt.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9)) (cbrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9))) (/.f64 (fma.f64 2/9 beta -1/3) (cbrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9))))
(/.f64 (neg.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9)) (neg.f64 (fma.f64 2/9 beta -1/3)))
(/.f64 (neg.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3)))) (neg.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27)))))
(/.f64 (-.f64 1/9 (*.f64 4/81 (*.f64 beta beta))) (-.f64 1/3 (*.f64 2/9 beta)))
(/.f64 (/.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) 1) (fma.f64 2/9 beta -1/3))
(/.f64 (/.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) (sqrt.f64 (fma.f64 2/9 beta -1/3))) (sqrt.f64 (fma.f64 2/9 beta -1/3)))
(/.f64 (/.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) (*.f64 (cbrt.f64 (fma.f64 2/9 beta -1/3)) (cbrt.f64 (fma.f64 2/9 beta -1/3)))) (cbrt.f64 (fma.f64 2/9 beta -1/3)))
(/.f64 (/.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))) 1) (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))))
(/.f64 (/.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))) (sqrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))))) (sqrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27)))))
(/.f64 (/.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))) (*.f64 (cbrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27)))) (cbrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27)))))) (cbrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27)))))
(pow.f64 (fma.f64 2/9 beta 1/3) 1)
(pow.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) 2)
(pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 3)
(pow.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 2))
(log.f64 (exp.f64 (fma.f64 2/9 beta 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/9 beta 1/3))))
(cbrt.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 3))
(expm1.f64 (log1p.f64 (fma.f64 2/9 beta 1/3)))
(exp.f64 (log.f64 (fma.f64 2/9 beta 1/3)))
(exp.f64 (*.f64 (log.f64 (fma.f64 2/9 beta 1/3)) 1))
(log1p.f64 (expm1.f64 (fma.f64 2/9 beta 1/3)))
(fma.f64 2/9 beta 1/3)
(fma.f64 beta 2/9 1/3)
(fma.f64 1 (*.f64 2/9 beta) 1/3)
(fma.f64 (sqrt.f64 (*.f64 2/9 beta)) (sqrt.f64 (*.f64 2/9 beta)) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2/9 beta)) 2) (cbrt.f64 (*.f64 2/9 beta)) 1/3)
Outputs
(/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 beta (-.f64 (*.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))))))
(+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 beta (+.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))))))
(+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 beta (-.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))))))
(+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 beta (-.f64 (*.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (*.f64 (-.f64 (*.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 beta (+.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (neg.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (+.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 4 (*.f64 2 alpha)))))))))
(+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 beta (-.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (neg.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 4)) (*.f64 (/.f64 (-.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 4 (*.f64 2 alpha))))))))
(+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 6))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (*.f64 (-.f64 (*.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.f64 beta (-.f64 (*.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4))))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))) (/.f64 (*.f64 (-.f64 (*.f64 2/9 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))))))))
(fma.f64 (pow.f64 beta 3) (-.f64 (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 6))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (+.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 4 (*.f64 2 alpha))))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 4 (*.f64 2 alpha)))) (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 beta (+.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (neg.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 4)) (/.f64 (+.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 4 (*.f64 2 alpha))))))))))
(fma.f64 (pow.f64 beta 3) (-.f64 (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 6))) (fma.f64 -1 (*.f64 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 4)) (*.f64 (/.f64 (-.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 4 (*.f64 2 alpha))) (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 beta (-.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (neg.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 2 alpha) 4)) (*.f64 (/.f64 (-.f64 (/.f64 2/9 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 1/3 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 (+.f64 2 alpha) 4)))) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 4 (*.f64 2 alpha)))))))))
(/.f64 2/9 beta)
(-.f64 (+.f64 (*.f64 2/9 (/.f64 1 beta)) (*.f64 1/3 (/.f64 1 (pow.f64 beta 2)))) (*.f64 2/9 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 beta 2))))
(+.f64 (+.f64 (/.f64 2/9 beta) (/.f64 1/3 (*.f64 beta beta))) (*.f64 -2/9 (/.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 beta beta))))
(+.f64 (/.f64 2/9 beta) (+.f64 (/.f64 1/3 (*.f64 beta beta)) (/.f64 (+.f64 -8/9 (*.f64 alpha -4/9)) (*.f64 beta beta))))
(-.f64 (+.f64 (*.f64 2/9 (/.f64 1 beta)) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 1/3 (*.f64 2/9 (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha))) (*.f64 2/9 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 3))))) (*.f64 2/9 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 beta 2))))
(+.f64 (/.f64 2/9 beta) (-.f64 (+.f64 (/.f64 1/3 (*.f64 beta beta)) (neg.f64 (/.f64 (fma.f64 (-.f64 1/3 (+.f64 8/9 (*.f64 (*.f64 2 alpha) 2/9))) (+.f64 4 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) 2/9)) (pow.f64 beta 3)))) (*.f64 2/9 (/.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 beta beta)))))
(+.f64 (/.f64 2/9 beta) (+.f64 (/.f64 1/3 (*.f64 beta beta)) (-.f64 (neg.f64 (/.f64 (fma.f64 (-.f64 -5/9 (*.f64 alpha 4/9)) (+.f64 4 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) 2/9)) (pow.f64 beta 3))) (*.f64 4/9 (/.f64 (+.f64 2 alpha) (*.f64 beta beta))))))
(-.f64 (+.f64 (*.f64 2/9 (/.f64 1 beta)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 1/3 (*.f64 2/9 (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 -1 (*.f64 (+.f64 (*.f64 (-.f64 1/3 (*.f64 2/9 (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha))) (*.f64 2/9 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (*.f64 2 alpha))))) (pow.f64 beta 4))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 1/3 (*.f64 2/9 (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha))) (*.f64 2/9 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 3)))))) (*.f64 2/9 (/.f64 (+.f64 4 (*.f64 2 alpha)) (pow.f64 beta 2))))
(+.f64 (/.f64 2/9 beta) (-.f64 (fma.f64 -1 (/.f64 (fma.f64 (-.f64 1/3 (+.f64 8/9 (*.f64 (*.f64 2 alpha) 2/9))) (pow.f64 (+.f64 2 alpha) 2) (neg.f64 (*.f64 (+.f64 4 (*.f64 2 alpha)) (fma.f64 (-.f64 1/3 (+.f64 8/9 (*.f64 (*.f64 2 alpha) 2/9))) (+.f64 4 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) 2/9))))) (pow.f64 beta 4)) (+.f64 (/.f64 1/3 (*.f64 beta beta)) (neg.f64 (/.f64 (fma.f64 (-.f64 1/3 (+.f64 8/9 (*.f64 (*.f64 2 alpha) 2/9))) (+.f64 4 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) 2/9)) (pow.f64 beta 3))))) (*.f64 2/9 (/.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 beta beta)))))
(+.f64 (/.f64 2/9 beta) (-.f64 (fma.f64 -1 (/.f64 (fma.f64 (-.f64 -5/9 (*.f64 alpha 4/9)) (pow.f64 (+.f64 2 alpha) 2) (neg.f64 (*.f64 (+.f64 4 (*.f64 2 alpha)) (fma.f64 (-.f64 -5/9 (*.f64 alpha 4/9)) (+.f64 4 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) 2/9))))) (pow.f64 beta 4)) (+.f64 (/.f64 1/3 (*.f64 beta beta)) (neg.f64 (/.f64 (fma.f64 (-.f64 -5/9 (*.f64 alpha 4/9)) (+.f64 4 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) 2/9)) (pow.f64 beta 3))))) (*.f64 4/9 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)))))
(/.f64 2/9 beta)
(-.f64 (+.f64 (*.f64 2/9 (/.f64 1 beta)) (*.f64 1/3 (/.f64 1 (pow.f64 beta 2)))) (*.f64 4/9 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (+.f64 (/.f64 2/9 beta) (/.f64 1/3 (*.f64 beta beta))) (*.f64 -2/9 (/.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 beta beta))))
(+.f64 (/.f64 2/9 beta) (+.f64 (/.f64 1/3 (*.f64 beta beta)) (/.f64 (+.f64 -8/9 (*.f64 alpha -4/9)) (*.f64 beta beta))))
(-.f64 (+.f64 (*.f64 2/9 (/.f64 1 beta)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 1/3 (*.f64 4/9 (+.f64 2 alpha))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (*.f64 -2/9 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (*.f64 1/3 (/.f64 1 (pow.f64 beta 2)))))) (*.f64 4/9 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (+.f64 (/.f64 2/9 beta) (fma.f64 -2 (/.f64 (-.f64 1/3 (+.f64 8/9 (*.f64 4/9 alpha))) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (fma.f64 -2/9 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)) (/.f64 1/3 (*.f64 beta beta))))) (*.f64 -4/9 (/.f64 (+.f64 2 alpha) (*.f64 beta beta))))
(+.f64 (fma.f64 -2 (*.f64 (/.f64 (-.f64 -5/9 (*.f64 alpha 4/9)) (pow.f64 beta 3)) (+.f64 2 alpha)) (fma.f64 -2/9 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)) (/.f64 1/3 (*.f64 beta beta)))) (+.f64 (/.f64 2/9 beta) (/.f64 (+.f64 -8/9 (*.f64 alpha -4/9)) (*.f64 beta beta))))
(-.f64 (+.f64 (*.f64 2/9 (/.f64 1 beta)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 1/3 (*.f64 4/9 (+.f64 2 alpha))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 1/3 (*.f64 4/9 (+.f64 2 alpha))) (+.f64 2 alpha))) (*.f64 -2/9 (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha))) (*.f64 (-.f64 1/3 (*.f64 4/9 (+.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4))) (+.f64 (*.f64 -2/9 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3))) (*.f64 1/3 (/.f64 1 (pow.f64 beta 2))))))) (*.f64 4/9 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))
(+.f64 (+.f64 (/.f64 2/9 beta) (fma.f64 -2 (/.f64 (-.f64 1/3 (+.f64 8/9 (*.f64 4/9 alpha))) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 alpha) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (-.f64 1/3 (+.f64 8/9 (*.f64 4/9 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) -2/9))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 1/3 (+.f64 8/9 (*.f64 4/9 alpha))))) (pow.f64 beta 4)) (fma.f64 -2/9 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 beta 3)) (/.f64 1/3 (*.f64 beta beta)))))) (*.f64 -4/9 (/.f64 (+.f64 2 alpha) (*.f64 beta beta))))
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(/.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 2 beta) 2))
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(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(/.f64 (fma.f64 beta 2/9 1/3) (*.f64 alpha alpha))
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(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(/.f64 (fma.f64 beta 2/9 1/3) (*.f64 alpha alpha))
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(fma.f64 -2 (/.f64 (*.f64 (+.f64 2 beta) (fma.f64 beta 2/9 1/3)) (pow.f64 alpha 3)) (fma.f64 2/9 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/3 (*.f64 alpha alpha))))
(fma.f64 -2 (*.f64 (/.f64 (fma.f64 beta 2/9 1/3) (pow.f64 alpha 3)) (+.f64 2 beta)) (fma.f64 2/9 (/.f64 (/.f64 beta alpha) alpha) (/.f64 1/3 (*.f64 alpha alpha))))
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(fma.f64 -1 (/.f64 (fma.f64 -4 (*.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 beta 2/9 1/3)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 beta 2/9 1/3))) (pow.f64 alpha 4)) (fma.f64 -2 (*.f64 (/.f64 (fma.f64 beta 2/9 1/3) (pow.f64 alpha 3)) (+.f64 2 beta)) (fma.f64 2/9 (/.f64 (/.f64 beta alpha) alpha) (/.f64 1/3 (*.f64 alpha alpha)))))
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(fma.f64 -1 (/.f64 (fma.f64 -4 (*.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 beta 2/9 1/3)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 beta 2/9 1/3))) (pow.f64 alpha 4)) (fma.f64 -2 (*.f64 (/.f64 (fma.f64 beta 2/9 1/3) (pow.f64 alpha 3)) (+.f64 2 beta)) (fma.f64 2 (*.f64 (/.f64 (fma.f64 -4 (*.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 beta 2/9 1/3)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (fma.f64 beta 2/9 1/3))) (pow.f64 alpha 5)) (+.f64 2 beta)) (+.f64 (fma.f64 2/9 (/.f64 (/.f64 beta alpha) alpha) (/.f64 1/3 (*.f64 alpha alpha))) (*.f64 2 (*.f64 (/.f64 (fma.f64 beta 2/9 1/3) (pow.f64 alpha 5)) (pow.f64 (+.f64 2 beta) 3)))))))
1/3
(*.f64 2/9 beta)
(*.f64 beta 2/9)
(+.f64 1/3 (*.f64 2/9 beta))
(fma.f64 beta 2/9 1/3)
(+.f64 1/3 (*.f64 2/9 beta))
(fma.f64 beta 2/9 1/3)
(+.f64 1/3 (*.f64 2/9 beta))
(fma.f64 beta 2/9 1/3)
(*.f64 2/9 beta)
(*.f64 beta 2/9)
(+.f64 1/3 (*.f64 2/9 beta))
(fma.f64 beta 2/9 1/3)
(+.f64 1/3 (*.f64 2/9 beta))
(fma.f64 beta 2/9 1/3)
(+.f64 1/3 (*.f64 2/9 beta))
(fma.f64 beta 2/9 1/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))) 1)
(*.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 (+.f64 alpha beta) 2) -2))
(*.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))
(*.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 (+.f64 alpha beta) 2) -2))
(*.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
(*.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) 1)
(*.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 (+.f64 alpha beta) 2) -2))
(*.f64 (fma.f64 beta 2/9 1/3) (pow.f64 (+.f64 2 (+.f64 alpha beta)) -2))
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(fma.f64 beta 2/9 1/3)
(*.f64 (/.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) (-.f64 (*.f64 8/729 (pow.f64 beta 3)) 1/27)) (+.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) 1/9) (*.f64 beta 2/27)))
(*.f64 (+.f64 (fma.f64 4/81 (*.f64 beta beta) 1/9) (*.f64 beta 2/27)) (/.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9) (fma.f64 8/729 (pow.f64 beta 3) -1/27)))
(*.f64 (/.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))) (-.f64 (*.f64 (*.f64 4/81 (*.f64 beta beta)) (*.f64 4/81 (*.f64 beta beta))) (*.f64 (-.f64 1/9 (*.f64 beta 2/27)) (-.f64 1/9 (*.f64 beta 2/27))))) (+.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) (*.f64 beta 2/27)))
(*.f64 (+.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9) (*.f64 beta 2/27)) (/.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27) (-.f64 (*.f64 16/6561 (pow.f64 beta 4)) (*.f64 (-.f64 1/9 (*.f64 beta 2/27)) (-.f64 1/9 (*.f64 beta 2/27))))))
(*.f64 (+.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9) (*.f64 beta 2/27)) (/.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27) (-.f64 (*.f64 (pow.f64 beta 4) 16/6561) (*.f64 (-.f64 1/9 (*.f64 beta 2/27)) (-.f64 1/9 (*.f64 beta 2/27))))))
(*.f64 (/.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))) (+.f64 (pow.f64 (*.f64 4/81 (*.f64 beta beta)) 3) (pow.f64 (-.f64 1/9 (*.f64 beta 2/27)) 3))) (+.f64 (*.f64 (*.f64 4/81 (*.f64 beta beta)) (*.f64 4/81 (*.f64 beta beta))) (-.f64 (*.f64 (-.f64 1/9 (*.f64 beta 2/27)) (-.f64 1/9 (*.f64 beta 2/27))) (*.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))))))
(*.f64 (+.f64 (*.f64 16/6561 (pow.f64 beta 4)) (*.f64 (-.f64 1/9 (*.f64 beta 2/27)) (-.f64 (-.f64 1/9 (*.f64 beta 2/27)) (*.f64 (*.f64 beta beta) 4/81)))) (/.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27) (+.f64 (*.f64 64/531441 (pow.f64 (*.f64 beta beta) 3)) (pow.f64 (-.f64 1/9 (*.f64 beta 2/27)) 3))))
(*.f64 (+.f64 (*.f64 (pow.f64 beta 4) 16/6561) (*.f64 (-.f64 1/9 (*.f64 beta 2/27)) (-.f64 1/9 (+.f64 (*.f64 beta 2/27) (*.f64 beta (*.f64 beta 4/81)))))) (/.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27) (+.f64 (pow.f64 (*.f64 beta (*.f64 beta 4/81)) 3) (pow.f64 (-.f64 1/9 (*.f64 beta 2/27)) 3))))
(/.f64 (fma.f64 2/9 beta 1/3) 1)
(fma.f64 beta 2/9 1/3)
(/.f64 1 (/.f64 1 (fma.f64 2/9 beta 1/3)))
(fma.f64 beta 2/9 1/3)
(/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (/.f64 1 (sqrt.f64 (fma.f64 2/9 beta 1/3))))
(fma.f64 beta 2/9 1/3)
(/.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2)))
(fma.f64 beta 2/9 1/3)
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) (/.f64 1 (cbrt.f64 (fma.f64 2/9 beta 1/3))))
(fma.f64 beta 2/9 1/3)
(/.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) (fma.f64 2/9 beta -1/3))
(/.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9) (fma.f64 2/9 beta -1/3))
(/.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) (/.f64 1 (/.f64 1 (fma.f64 2/9 beta -1/3))))
(/.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9) (fma.f64 2/9 beta -1/3))
(/.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))) (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))))
(/.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27) (-.f64 (fma.f64 4/81 (*.f64 beta beta) 1/9) (*.f64 beta 2/27)))
(/.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))) (/.f64 1 (/.f64 1 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))))))
(/.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27) (-.f64 (fma.f64 4/81 (*.f64 beta beta) 1/9) (*.f64 beta 2/27)))
(/.f64 (sqrt.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3)))) (/.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))) (sqrt.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27)) (/.f64 (-.f64 (fma.f64 4/81 (*.f64 beta beta) 1/9) (*.f64 beta 2/27)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9)) (/.f64 (fma.f64 2/9 beta -1/3) (sqrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9))))
(/.f64 (sqrt.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9)) (/.f64 (fma.f64 2/9 beta -1/3) (sqrt.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3)))) (cbrt.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))))) (/.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))) (cbrt.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27))) (-.f64 (fma.f64 4/81 (*.f64 beta beta) 1/9) (*.f64 beta 2/27))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27)))
(*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27)) (/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27))) (-.f64 (fma.f64 4/81 (*.f64 beta beta) 1/9) (*.f64 beta 2/27))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9)) (cbrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9))) (/.f64 (fma.f64 2/9 beta -1/3) (cbrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9)) (cbrt.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9))) (fma.f64 2/9 beta -1/3)) (cbrt.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9)))
(*.f64 (cbrt.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9)) (/.f64 (*.f64 (cbrt.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9)) (cbrt.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9))) (fma.f64 2/9 beta -1/3)))
(/.f64 (neg.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9)) (neg.f64 (fma.f64 2/9 beta -1/3)))
(/.f64 (neg.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9)) (neg.f64 (fma.f64 2/9 beta -1/3)))
(/.f64 (+.f64 1/9 (*.f64 (*.f64 -4/81 beta) beta)) (neg.f64 (fma.f64 2/9 beta -1/3)))
(/.f64 (neg.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3)))) (neg.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27)) (neg.f64 (-.f64 (fma.f64 4/81 (*.f64 beta beta) 1/9) (*.f64 beta 2/27))))
(/.f64 (-.f64 -1/27 (*.f64 (pow.f64 beta 3) 8/729)) (neg.f64 (-.f64 (fma.f64 4/81 (*.f64 beta beta) 1/9) (*.f64 beta 2/27))))
(/.f64 (-.f64 1/9 (*.f64 4/81 (*.f64 beta beta))) (-.f64 1/3 (*.f64 2/9 beta)))
(/.f64 (+.f64 1/9 (*.f64 -4/81 (*.f64 beta beta))) (+.f64 1/3 (*.f64 -2/9 beta)))
(/.f64 (+.f64 1/9 (*.f64 (*.f64 -4/81 beta) beta)) (+.f64 1/3 (*.f64 beta -2/9)))
(/.f64 (/.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) 1) (fma.f64 2/9 beta -1/3))
(/.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9) (fma.f64 2/9 beta -1/3))
(/.f64 (/.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) (sqrt.f64 (fma.f64 2/9 beta -1/3))) (sqrt.f64 (fma.f64 2/9 beta -1/3)))
(/.f64 (/.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9) (sqrt.f64 (fma.f64 2/9 beta -1/3))) (sqrt.f64 (fma.f64 2/9 beta -1/3)))
(/.f64 (/.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) (*.f64 (cbrt.f64 (fma.f64 2/9 beta -1/3)) (cbrt.f64 (fma.f64 2/9 beta -1/3)))) (cbrt.f64 (fma.f64 2/9 beta -1/3)))
(/.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9) (*.f64 (cbrt.f64 (fma.f64 2/9 beta -1/3)) (*.f64 (cbrt.f64 (fma.f64 2/9 beta -1/3)) (cbrt.f64 (fma.f64 2/9 beta -1/3)))))
(/.f64 (/.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))) 1) (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))))
(/.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27) (-.f64 (fma.f64 4/81 (*.f64 beta beta) 1/9) (*.f64 beta 2/27)))
(/.f64 (/.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))) (sqrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))))) (sqrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27)))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27) (sqrt.f64 (-.f64 (fma.f64 4/81 (*.f64 beta beta) 1/9) (*.f64 beta 2/27)))) (sqrt.f64 (-.f64 (fma.f64 4/81 (*.f64 beta beta) 1/9) (*.f64 beta 2/27))))
(/.f64 (/.f64 (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3))) (*.f64 (cbrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27)))) (cbrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27)))))) (cbrt.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27)))))
(/.f64 (+.f64 (*.f64 (pow.f64 beta 3) 8/729) 1/27) (*.f64 (cbrt.f64 (-.f64 (fma.f64 4/81 (*.f64 beta beta) 1/9) (*.f64 beta 2/27))) (*.f64 (cbrt.f64 (-.f64 (fma.f64 4/81 (*.f64 beta beta) 1/9) (*.f64 beta 2/27))) (cbrt.f64 (-.f64 (fma.f64 4/81 (*.f64 beta beta) 1/9) (*.f64 beta 2/27))))))
(pow.f64 (fma.f64 2/9 beta 1/3) 1)
(fma.f64 beta 2/9 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) 2)
(fma.f64 beta 2/9 1/3)
(pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 3)
(fma.f64 beta 2/9 1/3)
(pow.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 3) 1/3)
(fma.f64 beta 2/9 1/3)
(sqrt.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 2))
(sqrt.f64 (pow.f64 (fma.f64 beta 2/9 1/3) 2))
(log.f64 (exp.f64 (fma.f64 2/9 beta 1/3)))
(fma.f64 beta 2/9 1/3)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/9 beta 1/3))))
(fma.f64 beta 2/9 1/3)
(cbrt.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 3))
(fma.f64 beta 2/9 1/3)
(expm1.f64 (log1p.f64 (fma.f64 2/9 beta 1/3)))
(fma.f64 beta 2/9 1/3)
(exp.f64 (log.f64 (fma.f64 2/9 beta 1/3)))
(fma.f64 beta 2/9 1/3)
(exp.f64 (*.f64 (log.f64 (fma.f64 2/9 beta 1/3)) 1))
(fma.f64 beta 2/9 1/3)
(log1p.f64 (expm1.f64 (fma.f64 2/9 beta 1/3)))
(fma.f64 beta 2/9 1/3)
(fma.f64 2/9 beta 1/3)
(fma.f64 beta 2/9 1/3)
(fma.f64 beta 2/9 1/3)
(fma.f64 1 (*.f64 2/9 beta) 1/3)
(fma.f64 beta 2/9 1/3)
(fma.f64 (sqrt.f64 (*.f64 2/9 beta)) (sqrt.f64 (*.f64 2/9 beta)) 1/3)
(+.f64 (pow.f64 (sqrt.f64 (*.f64 beta 2/9)) 2) 1/3)
(+.f64 1/3 (pow.f64 (sqrt.f64 (*.f64 beta 2/9)) 2))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2/9 beta)) 2) (cbrt.f64 (*.f64 2/9 beta)) 1/3)
(fma.f64 beta 2/9 1/3)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.03%
(/.f64 (-.f64 -3 (+.f64 alpha beta)) (+.f64 1 beta))
0.04%
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
0.04%
(/.f64 (-.f64 -1 alpha) (/.f64 (-.f64 -3 (+.f64 alpha beta)) (+.f64 1 beta)))
3.32%
(/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (-.f64 -3 (+.f64 alpha beta)) (+.f64 1 beta))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
Compiler

Compiled 88 to 54 computations (38.6% saved)

series58.0ms (0.3%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
50.0ms
beta
@inf
(/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (-.f64 -3 (+.f64 alpha beta)) (+.f64 1 beta))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
2.0ms
beta
@-inf
(/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (-.f64 -3 (+.f64 alpha beta)) (+.f64 1 beta))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms
alpha
@-inf
(/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (-.f64 -3 (+.f64 alpha beta)) (+.f64 1 beta))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms
alpha
@0
(/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (-.f64 -3 (+.f64 alpha beta)) (+.f64 1 beta))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
1.0ms
beta
@0
(/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (-.f64 -3 (+.f64 alpha beta)) (+.f64 1 beta))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

rewrite111.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
536×+-commutative
468×associate-+l+
468×add-sqr-sqrt
454×pow1
454×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018123
1447123
27231123
Stop Event
node limit
Counts
3 → 138
Calls
Call 1
Inputs
(/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (-.f64 -3 (+.f64 alpha beta)) (+.f64 1 beta))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 -1 alpha) (/.f64 (-.f64 -3 (+.f64 alpha beta)) (+.f64 1 beta)))
(/.f64 (-.f64 -3 (+.f64 alpha beta)) (+.f64 1 beta))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (-.f64 -1 alpha) (/.f64 (+.f64 beta 1) (-.f64 (-.f64 -3 beta) alpha))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -1 (*.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))) (/.f64 alpha (*.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (-.f64 (-.f64 -3 beta) alpha))) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)) (/.f64 (*.f64 (/.f64 alpha (-.f64 (-.f64 -3 beta) alpha)) (+.f64 beta 1)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 alpha) (*.f64 (/.f64 (+.f64 beta 1) (-.f64 (-.f64 -3 beta) alpha)) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 alpha) (/.f64 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expm1.f64 (log1p.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (-.f64 (-.f64 -3 beta) alpha)) (log1p.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 (-.f64 -3 beta) alpha)) (log1p.f64 beta)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1))))))))

simplify198.0ms (0.9%)

Algorithm
egg-herbie
Rules
1028×associate-*r*
994×+-commutative
962×associate-*l*
916×*-commutative
910×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073919358
1260919168
Stop Event
node limit
Counts
210 → 348
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))))))) (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1))) 2)) (cbrt.f64 (*.f64 (-.f64 -1 alpha) (/.f64 (+.f64 beta 1) (-.f64 (-.f64 -3 beta) alpha)))))
(pow.f64 (*.f64 (-.f64 -1 alpha) (/.f64 (+.f64 beta 1) (-.f64 (-.f64 -3 beta) alpha))) 1)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 -1 alpha) (/.f64 (+.f64 beta 1) (-.f64 (-.f64 -3 beta) alpha)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 -1 alpha) (/.f64 (+.f64 beta 1) (-.f64 (-.f64 -3 beta) alpha)))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 -1 alpha) (/.f64 (+.f64 beta 1) (-.f64 (-.f64 -3 beta) alpha))) 3) 1/3)
(pow.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (*.f64 (-.f64 -1 alpha) (+.f64 beta 1))) -1)
(neg.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (neg.f64 (-.f64 (-.f64 -3 beta) alpha)) (+.f64 beta 1))))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 -1 alpha) (/.f64 (+.f64 beta 1) (-.f64 (-.f64 -3 beta) alpha))) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 -1 alpha)) (/.f64 (+.f64 beta 1) (-.f64 (-.f64 -3 beta) alpha))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 -1 alpha) (/.f64 (+.f64 beta 1) (-.f64 (-.f64 -3 beta) alpha))))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 -1 alpha) (/.f64 (+.f64 beta 1) (-.f64 (-.f64 -3 beta) alpha))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 -1 alpha) 3) (pow.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 -1 alpha) (/.f64 (+.f64 beta 1) (-.f64 (-.f64 -3 beta) alpha)))))
(exp.f64 (+.f64 (log1p.f64 beta) (log.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -3 beta) alpha)))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 beta) (log.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -3 beta) alpha)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 -1 alpha) (/.f64 (+.f64 beta 1) (-.f64 (-.f64 -3 beta) alpha)))))
(+.f64 (/.f64 -3 (+.f64 beta 1)) (neg.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta 1))))
(+.f64 (neg.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta 1))) (/.f64 -3 (+.f64 beta 1)))
(-.f64 (/.f64 -3 (+.f64 beta 1)) (/.f64 (+.f64 alpha beta) (+.f64 beta 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1)))) 1)
(-.f64 (/.f64 (-.f64 -3 alpha) (+.f64 beta 1)) (/.f64 beta (+.f64 beta 1)))
(*.f64 (-.f64 (-.f64 -3 beta) alpha) (/.f64 1 (+.f64 beta 1)))
(*.f64 1 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1)))
(*.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1)) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1))) (sqrt.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1))))
(*.f64 (sqrt.f64 (-.f64 (-.f64 -3 beta) alpha)) (*.f64 (sqrt.f64 (-.f64 (-.f64 -3 beta) alpha)) (/.f64 1 (+.f64 beta 1))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1))) 2) (cbrt.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (-.f64 -3 beta) alpha)) 2) (*.f64 (cbrt.f64 (-.f64 (-.f64 -3 beta) alpha)) (/.f64 1 (+.f64 beta 1))))
(*.f64 (/.f64 1 (+.f64 beta 1)) (-.f64 (-.f64 -3 beta) alpha))
(*.f64 (neg.f64 (-.f64 (-.f64 -3 beta) alpha)) (/.f64 1 (+.f64 -1 (neg.f64 beta))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 1))) (/.f64 (-.f64 (-.f64 -3 beta) alpha) (sqrt.f64 (+.f64 beta 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (/.f64 (-.f64 (-.f64 -3 beta) alpha) (cbrt.f64 (+.f64 beta 1))))
(*.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (-.f64 1 (*.f64 beta beta))) (-.f64 1 beta))
(*.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 1 (pow.f64 beta 3))) (+.f64 (*.f64 beta beta) (-.f64 1 beta)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (-.f64 -3 beta) alpha)) 1) (/.f64 (sqrt.f64 (-.f64 (-.f64 -3 beta) alpha)) (+.f64 beta 1)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (-.f64 -3 beta) alpha)) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (/.f64 (sqrt.f64 (-.f64 (-.f64 -3 beta) alpha)) (cbrt.f64 (+.f64 beta 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (-.f64 -3 beta) alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (-.f64 -3 beta) alpha)) (+.f64 beta 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (-.f64 -3 beta) alpha)) 2) (sqrt.f64 (+.f64 beta 1))) (/.f64 (cbrt.f64 (-.f64 (-.f64 -3 beta) alpha)) (sqrt.f64 (+.f64 beta 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (-.f64 -3 beta) alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (cbrt.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1))))
(pow.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 beta 1) (-.f64 (-.f64 -3 beta) alpha)) -1)
(neg.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 -1 (neg.f64 beta))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (-.f64 -3 beta) alpha) 3) (pow.f64 (+.f64 beta 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1))))
(exp.f64 (-.f64 (log.f64 (-.f64 (-.f64 -3 beta) alpha)) (log1p.f64 beta)))
(exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 (-.f64 -3 beta) alpha)) (log1p.f64 beta)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1))))
Outputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 alpha (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))))))
(+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 alpha (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (*.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 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) alpha (neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (+.f64 (*.f64 beta 2) 7)) (pow.f64 (+.f64 beta 2) 4)))))))))
(+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (*.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 alpha (*.f64 alpha (+.f64 (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.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 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (*.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 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (*.f64 beta 2) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 4))))))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (fma.f64 -1 (*.f64 (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (+.f64 (*.f64 beta 2) 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 1 (*.f64 (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 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) (+.f64 beta 3)) (/.f64 (+.f64 beta (+.f64 (*.f64 beta 2) 7)) (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 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) alpha (neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 beta (+.f64 (*.f64 beta 2) 7)) (pow.f64 (+.f64 beta 2) 4))))))))))
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(cbrt.f64 (/.f64 (pow.f64 (-.f64 -1 alpha) 3) (pow.f64 (/.f64 (-.f64 -3 (+.f64 beta alpha)) (+.f64 beta 1)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 -1 alpha) (/.f64 (+.f64 beta 1) (-.f64 (-.f64 -3 beta) alpha)))))
(*.f64 (+.f64 beta 1) (/.f64 (-.f64 -1 alpha) (-.f64 -3 (+.f64 beta alpha))))
(exp.f64 (+.f64 (log1p.f64 beta) (log.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -3 beta) alpha)))))
(exp.f64 (+.f64 (log1p.f64 beta) (log.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (+.f64 beta alpha))))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 beta) (log.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -3 beta) alpha)))) 1))
(exp.f64 (+.f64 (log1p.f64 beta) (log.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -3 (+.f64 beta alpha))))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 -1 alpha) (/.f64 (+.f64 beta 1) (-.f64 (-.f64 -3 beta) alpha)))))
(*.f64 (+.f64 beta 1) (/.f64 (-.f64 -1 alpha) (-.f64 -3 (+.f64 beta alpha))))
(+.f64 (/.f64 -3 (+.f64 beta 1)) (neg.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta 1))))
(-.f64 (/.f64 -3 (+.f64 beta 1)) (/.f64 (+.f64 beta alpha) (+.f64 beta 1)))
(+.f64 (neg.f64 (/.f64 (+.f64 alpha beta) (+.f64 beta 1))) (/.f64 -3 (+.f64 beta 1)))
(-.f64 (/.f64 -3 (+.f64 beta 1)) (/.f64 (+.f64 beta alpha) (+.f64 beta 1)))
(-.f64 (/.f64 -3 (+.f64 beta 1)) (/.f64 (+.f64 alpha beta) (+.f64 beta 1)))
(-.f64 (/.f64 -3 (+.f64 beta 1)) (/.f64 (+.f64 beta alpha) (+.f64 beta 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1)))) 1)
(/.f64 (-.f64 -3 (+.f64 beta alpha)) (+.f64 beta 1))
(-.f64 (/.f64 (-.f64 -3 alpha) (+.f64 beta 1)) (/.f64 beta (+.f64 beta 1)))
(*.f64 (-.f64 (-.f64 -3 beta) alpha) (/.f64 1 (+.f64 beta 1)))
(/.f64 (-.f64 -3 (+.f64 beta alpha)) (+.f64 beta 1))
(*.f64 1 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1)))
(/.f64 (-.f64 -3 (+.f64 beta alpha)) (+.f64 beta 1))
(*.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1)) 1)
(/.f64 (-.f64 -3 (+.f64 beta alpha)) (+.f64 beta 1))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1))) (sqrt.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1))))
(/.f64 (-.f64 -3 (+.f64 beta alpha)) (+.f64 beta 1))
(*.f64 (sqrt.f64 (-.f64 (-.f64 -3 beta) alpha)) (*.f64 (sqrt.f64 (-.f64 (-.f64 -3 beta) alpha)) (/.f64 1 (+.f64 beta 1))))
(*.f64 (sqrt.f64 (-.f64 -3 (+.f64 beta alpha))) (*.f64 (/.f64 1 (+.f64 beta 1)) (sqrt.f64 (-.f64 -3 (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (+.f64 beta 1)) (*.f64 (sqrt.f64 (-.f64 -3 (+.f64 beta alpha))) (sqrt.f64 (-.f64 -3 (+.f64 beta alpha)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1))) 2))
(/.f64 (-.f64 -3 (+.f64 beta alpha)) (+.f64 beta 1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1))) 2) (cbrt.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1))))
(/.f64 (-.f64 -3 (+.f64 beta alpha)) (+.f64 beta 1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (-.f64 -3 beta) alpha)) 2) (*.f64 (cbrt.f64 (-.f64 (-.f64 -3 beta) alpha)) (/.f64 1 (+.f64 beta 1))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -3 (+.f64 beta alpha))) 2) (*.f64 (/.f64 1 (+.f64 beta 1)) (cbrt.f64 (-.f64 -3 (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (+.f64 beta 1)) (-.f64 (-.f64 -3 beta) alpha))
(/.f64 (-.f64 -3 (+.f64 beta alpha)) (+.f64 beta 1))
(*.f64 (neg.f64 (-.f64 (-.f64 -3 beta) alpha)) (/.f64 1 (+.f64 -1 (neg.f64 beta))))
(*.f64 (neg.f64 (-.f64 -3 (+.f64 beta alpha))) (/.f64 1 (-.f64 -1 beta)))
(*.f64 (+.f64 3 (+.f64 beta alpha)) (/.f64 1 (-.f64 -1 beta)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 1))) (/.f64 (-.f64 (-.f64 -3 beta) alpha) (sqrt.f64 (+.f64 beta 1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 1))) (/.f64 (-.f64 -3 (+.f64 beta alpha)) (sqrt.f64 (+.f64 beta 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (/.f64 (-.f64 (-.f64 -3 beta) alpha) (cbrt.f64 (+.f64 beta 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (/.f64 (-.f64 -3 (+.f64 beta alpha)) (cbrt.f64 (+.f64 beta 1))))
(/.f64 (*.f64 1 (/.f64 (-.f64 -3 (+.f64 beta alpha)) (cbrt.f64 (+.f64 beta 1)))) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2))
(*.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (-.f64 1 (*.f64 beta beta))) (-.f64 1 beta))
(*.f64 (/.f64 (-.f64 -3 (+.f64 beta alpha)) (-.f64 1 (*.f64 beta beta))) (-.f64 1 beta))
(*.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 1 (pow.f64 beta 3))) (+.f64 (*.f64 beta beta) (-.f64 1 beta)))
(*.f64 (/.f64 (-.f64 -3 (+.f64 beta alpha)) (+.f64 1 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 1 beta)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (-.f64 -3 beta) alpha)) 1) (/.f64 (sqrt.f64 (-.f64 (-.f64 -3 beta) alpha)) (+.f64 beta 1)))
(*.f64 (sqrt.f64 (-.f64 -3 (+.f64 beta alpha))) (/.f64 (sqrt.f64 (-.f64 -3 (+.f64 beta alpha))) (+.f64 beta 1)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (-.f64 -3 beta) alpha)) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (/.f64 (sqrt.f64 (-.f64 (-.f64 -3 beta) alpha)) (cbrt.f64 (+.f64 beta 1))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -3 (+.f64 beta alpha))) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (/.f64 (sqrt.f64 (-.f64 -3 (+.f64 beta alpha))) (cbrt.f64 (+.f64 beta 1))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 -3 (+.f64 beta alpha))) (/.f64 (sqrt.f64 (-.f64 -3 (+.f64 beta alpha))) (cbrt.f64 (+.f64 beta 1)))) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (-.f64 -3 beta) alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (-.f64 -3 beta) alpha)) (+.f64 beta 1)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -3 (+.f64 beta alpha))) 2) (/.f64 (cbrt.f64 (-.f64 -3 (+.f64 beta alpha))) (+.f64 beta 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (-.f64 -3 beta) alpha)) 2) (sqrt.f64 (+.f64 beta 1))) (/.f64 (cbrt.f64 (-.f64 (-.f64 -3 beta) alpha)) (sqrt.f64 (+.f64 beta 1))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 -3 (+.f64 beta alpha))) 2) (/.f64 (cbrt.f64 (-.f64 -3 (+.f64 beta alpha))) (sqrt.f64 (+.f64 beta 1)))) (sqrt.f64 (+.f64 beta 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -3 (+.f64 beta alpha))) 2) (sqrt.f64 (+.f64 beta 1))) (/.f64 (cbrt.f64 (-.f64 -3 (+.f64 beta alpha))) (sqrt.f64 (+.f64 beta 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (-.f64 -3 beta) alpha)) 2) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (cbrt.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -3 (+.f64 beta alpha)) (+.f64 beta 1))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -3 (+.f64 beta alpha))) 2) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)))
(pow.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1)) 1)
(/.f64 (-.f64 -3 (+.f64 beta alpha)) (+.f64 beta 1))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1))) 2)
(/.f64 (-.f64 -3 (+.f64 beta alpha)) (+.f64 beta 1))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1))) 3)
(/.f64 (-.f64 -3 (+.f64 beta alpha)) (+.f64 beta 1))
(pow.f64 (pow.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1)) 3) 1/3)
(/.f64 (-.f64 -3 (+.f64 beta alpha)) (+.f64 beta 1))
(pow.f64 (/.f64 (+.f64 beta 1) (-.f64 (-.f64 -3 beta) alpha)) -1)
(/.f64 (-.f64 -3 (+.f64 beta alpha)) (+.f64 beta 1))
(neg.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 -1 (neg.f64 beta))))
(neg.f64 (/.f64 (-.f64 -3 (+.f64 beta alpha)) (-.f64 -1 beta)))
(/.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -1 beta))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1)) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -3 (+.f64 beta alpha)) (+.f64 beta 1)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1))))
(/.f64 (-.f64 -3 (+.f64 beta alpha)) (+.f64 beta 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1)))))
(/.f64 (-.f64 -3 (+.f64 beta alpha)) (+.f64 beta 1))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1)) 3))
(/.f64 (-.f64 -3 (+.f64 beta alpha)) (+.f64 beta 1))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (-.f64 -3 beta) alpha) 3) (pow.f64 (+.f64 beta 1) 3)))
(/.f64 (-.f64 -3 (+.f64 beta alpha)) (+.f64 beta 1))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1))))
(/.f64 (-.f64 -3 (+.f64 beta alpha)) (+.f64 beta 1))
(exp.f64 (-.f64 (log.f64 (-.f64 (-.f64 -3 beta) alpha)) (log1p.f64 beta)))
(exp.f64 (-.f64 (log.f64 (-.f64 -3 (+.f64 beta alpha))) (log1p.f64 beta)))
(exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 (-.f64 -3 beta) alpha)) (log1p.f64 beta)) 1))
(exp.f64 (-.f64 (log.f64 (-.f64 -3 (+.f64 beta alpha))) (log1p.f64 beta)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (-.f64 -3 beta) alpha) (+.f64 beta 1))))
(/.f64 (-.f64 -3 (+.f64 beta alpha)) (+.f64 beta 1))

eval1.5s (6.9%)

Compiler

Compiled 64239 to 46390 computations (27.8% saved)

prune569.0ms (2.7%)

Pruning

34 alts after pruning (28 fresh and 6 done)

PrunedKeptTotal
New1520111531
Fresh41721
Picked011
Done257
Total1526341560
Error
0%
Counts
1560 → 34
Alt Table
Click to see full alt table
StatusErrorProgram
45.83%
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 (neg.f64 (/.f64 (+.f64 alpha 2) beta))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) 2)
51.52%
(pow.f64 beta -2)
30.8%
(/.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 2 beta)) (+.f64 alpha (+.f64 beta 3)))
5.93%
(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 beta 2) (+.f64 alpha (*.f64 beta alpha))) 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
7.6%
(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
3.34%
(/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (-.f64 -3 (+.f64 alpha beta)) (+.f64 1 beta))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
73.35%
(/.f64 (/.f64 (+.f64 alpha (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
36.6%
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
36.93%
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
52.27%
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
4.23%
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 1 (+.f64 beta 1)) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))))) (+.f64 alpha (+.f64 beta 3)))
1.06%
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
27.73%
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
44.43%
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
45.5%
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
67.71%
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
50.54%
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
52.05%
(/.f64 (-.f64 1 (/.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
47.52%
(/.f64 (-.f64 -1 alpha) (*.f64 beta (-.f64 (-.f64 -3 beta) alpha)))
51.38%
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (+.f64 (*.f64 beta (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))
30.43%
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
96.8%
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 alpha alpha))
95.56%
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (*.f64 alpha alpha)))
78.15%
(/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 (-.f64 alpha beta) -2))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 (-.f64 alpha beta) -2))))
96.5%
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
7.61%
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
71.18%
(/.f64 alpha (*.f64 beta beta))
30.98%
(/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (-.f64 2 beta))))
30.99%
(/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 (-.f64 2 beta) (+.f64 beta 3))))
45.2%
(/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
51.93%
(/.f64 1 (*.f64 beta beta))
97.5%
(/.f64 1 alpha)
93.81%
(/.f64 2/9 beta)
52.93%
(*.f64 1/2 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
Compiler

Compiled 1028 to 743 computations (27.7% saved)

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.02%
(/.f64 (+.f64 alpha 1) (*.f64 (/.f64 1 (+.f64 beta 1)) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))))
0.03%
(*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))
0.12%
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 1 (+.f64 beta 1)) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))))) (+.f64 alpha (+.f64 beta 3)))
25.26%
(*.f64 (/.f64 1 (+.f64 beta 1)) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))))
Compiler

Compiled 105 to 74 computations (29.5% saved)

series7.0ms (0%)

Counts
4 → 96
Calls

24 calls:

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

rewrite123.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
530×+-commutative
496×add-sqr-sqrt
484×associate-+r+
484×pow1
484×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019178
1470178
27521178
Stop Event
node limit
Counts
4 → 183
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (+.f64 beta 1)) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 1 (+.f64 beta 1)) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (+.f64 alpha 1) (*.f64 (/.f64 1 (+.f64 beta 1)) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha)))))
Outputs
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simplify172.0ms (0.8%)

Algorithm
egg-herbie
Rules
1302×associate-*r*
1242×+-commutative
1182×associate-*l*
900×associate-+r+
732×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
094724815
1327624355
Stop Event
node limit
Counts
279 → 466
Calls
Call 1
Inputs
(*.f64 2 (+.f64 2 alpha))
(+.f64 (*.f64 (-.f64 (+.f64 4 alpha) (*.f64 2 (+.f64 2 alpha))) beta) (*.f64 2 (+.f64 2 alpha)))
(+.f64 (*.f64 (-.f64 (+.f64 4 alpha) (*.f64 2 (+.f64 2 alpha))) beta) (+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 2 alpha)) (+.f64 3 alpha)) (pow.f64 beta 2)) (*.f64 2 (+.f64 2 alpha))))
(+.f64 (*.f64 (-.f64 (+.f64 4 alpha) (*.f64 2 (+.f64 2 alpha))) beta) (+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 2 alpha)) (+.f64 3 alpha)) (pow.f64 beta 2)) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 3 alpha) (*.f64 2 (+.f64 2 alpha)))) (*.f64 2 (+.f64 2 alpha)))))
beta
(+.f64 beta (+.f64 3 alpha))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 alpha (*.f64 2 (/.f64 (+.f64 2 alpha) beta))))) (+.f64 (/.f64 alpha beta) (*.f64 3 (/.f64 1 beta))))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 (/.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 2))) (/.f64 alpha (pow.f64 beta 2))))))) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 3 (/.f64 1 beta)) (*.f64 2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))))
beta
(-.f64 (+.f64 beta (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))) 1)
(-.f64 (+.f64 beta (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 -1 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) 1))) beta)) (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) 1)
(-.f64 (+.f64 beta (+.f64 (*.f64 -2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 -1 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) 1))) beta)) (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) 1) (pow.f64 beta 2)))))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))) alpha))
(/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))))) (pow.f64 alpha 2))))))
(+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 5))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 3))))) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) alpha))
(-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (*.f64 (+.f64 beta 2) alpha))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 2)) (*.f64 (+.f64 beta 1) (+.f64 beta 3))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (*.f64 (+.f64 beta 2) alpha)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 2)) (*.f64 (+.f64 beta 1) (+.f64 beta 3))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 2)) (*.f64 (+.f64 beta 1) (+.f64 beta 3))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (+.f64 beta 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (*.f64 (+.f64 beta 2) alpha))))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) alpha))
(-.f64 (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (*.f64 (+.f64 beta 2) alpha))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (pow.f64 (+.f64 beta 2) 2))))) (*.f64 (+.f64 beta 2) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (*.f64 (+.f64 beta 2) alpha))))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (pow.f64 (+.f64 beta 2) 2))))) (*.f64 (+.f64 beta 2) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 2) alpha)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (pow.f64 (+.f64 beta 2) 2))))) (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta 3))))) (+.f64 beta 2))) (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (pow.f64 (+.f64 beta 2) 2))))))) (pow.f64 alpha 4))))))))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (*.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 2)))))
(*.f64 1/2 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (*.f64 1/2 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (*.f64 1/2 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/4 (/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 7 (*.f64 2 alpha))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (*.f64 2 alpha))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 2 (+.f64 3 alpha)) (*.f64 (+.f64 2 alpha) (+.f64 5 alpha)))) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))))))
(/.f64 (+.f64 1 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 2 alpha))) (pow.f64 beta 3)))
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(*.f64 (+.f64 beta 2) alpha)
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(/.f64 (+.f64 1 alpha) beta)
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(/.f64 (+.f64 1 alpha) beta)
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(+.f64 (*.f64 (/.f64 (+.f64 beta 2) (+.f64 1 beta)) (+.f64 2 alpha)) (*.f64 (/.f64 (+.f64 beta 2) (+.f64 1 beta)) beta))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 beta 2) (+.f64 1 beta))))) 1)
(/.f64 1 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (+.f64 beta 2) (/.f64 (+.f64 1 beta) (+.f64 2 (+.f64 beta alpha))))
(/.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 1 beta) (+.f64 beta 2)))
(/.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))) (+.f64 1 beta))
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(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)))))
(fma.f64 beta (+.f64 beta 2) (*.f64 (+.f64 beta 2) (+.f64 2 alpha)))
(fma.f64 (+.f64 beta 2) beta (*.f64 (+.f64 beta 2) (+.f64 2 alpha)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))))))) 1)
(*.f64 1 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))))))
(*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))))) 1)
(*.f64 (sqrt.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))))) (sqrt.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))))))
(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))))) 2) (cbrt.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))))))
(*.f64 (*.f64 (+.f64 1 alpha) (+.f64 1 beta)) (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))) (+.f64 1 alpha))
(*.f64 (+.f64 -1 (neg.f64 alpha)) (/.f64 1 (*.f64 (/.f64 (+.f64 beta 2) (+.f64 1 beta)) (neg.f64 (+.f64 2 (+.f64 beta alpha))))))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))) (+.f64 1 beta))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 1 beta)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 beta 2) (+.f64 1 beta))))) (/.f64 (+.f64 1 alpha) (sqrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 beta 2) (+.f64 1 beta))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 beta 2) (+.f64 1 beta)))) 2)) (/.f64 (+.f64 1 alpha) (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 beta 2) (+.f64 1 beta))))))
(*.f64 (/.f64 1 (/.f64 (+.f64 beta 2) (+.f64 1 beta))) (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 beta 2) (+.f64 1 beta)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 1 (+.f64 1 beta))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 1 (+.f64 1 beta))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 beta 2) (+.f64 1 beta)))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 beta 2) (+.f64 1 beta))))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 beta 2) (+.f64 1 beta))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 2 (+.f64 beta alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 beta 2) (+.f64 1 beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (/.f64 1 (+.f64 1 beta))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 1 (+.f64 1 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (sqrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 beta 2) (+.f64 1 beta))))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 beta 2) (+.f64 1 beta))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 beta 2) (+.f64 1 beta)))) 2)) (cbrt.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (/.f64 (+.f64 beta 2) (+.f64 1 beta))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha))))
(pow.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))))) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))))) 3) 1/3)
(pow.f64 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 1 alpha) (+.f64 1 beta))) -1)
(neg.f64 (/.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 beta 2) (+.f64 1 beta)) (neg.f64 (+.f64 2 (+.f64 beta alpha))))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 1 alpha)) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (/.f64 (+.f64 beta 2) (+.f64 1 beta))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))))))
(exp.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))) (log1p.f64 beta))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))) (log1p.f64 beta))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))))))
Outputs
(*.f64 2 (+.f64 2 alpha))
(+.f64 4 (*.f64 2 alpha))
(+.f64 (*.f64 (-.f64 (+.f64 4 alpha) (*.f64 2 (+.f64 2 alpha))) beta) (*.f64 2 (+.f64 2 alpha)))
(fma.f64 (+.f64 (+.f64 alpha 4) (+.f64 -4 (*.f64 -2 alpha))) beta (*.f64 2 (+.f64 2 alpha)))
(fma.f64 (+.f64 alpha (+.f64 4 (+.f64 -4 (*.f64 -2 alpha)))) beta (+.f64 4 (*.f64 2 alpha)))
(+.f64 (*.f64 (-.f64 (+.f64 4 alpha) (*.f64 2 (+.f64 2 alpha))) beta) (+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 2 alpha)) (+.f64 3 alpha)) (pow.f64 beta 2)) (*.f64 2 (+.f64 2 alpha))))
(fma.f64 (+.f64 (+.f64 alpha 4) (+.f64 -4 (*.f64 -2 alpha))) beta (fma.f64 (-.f64 (*.f64 2 (+.f64 2 alpha)) (+.f64 alpha 3)) (*.f64 beta beta) (*.f64 2 (+.f64 2 alpha))))
(fma.f64 (+.f64 alpha (+.f64 4 (+.f64 -4 (*.f64 -2 alpha)))) beta (fma.f64 (+.f64 4 (-.f64 (*.f64 2 alpha) (+.f64 alpha 3))) (*.f64 beta beta) (+.f64 4 (*.f64 2 alpha))))
(+.f64 (*.f64 (-.f64 (+.f64 4 alpha) (*.f64 2 (+.f64 2 alpha))) beta) (+.f64 (*.f64 (-.f64 (*.f64 2 (+.f64 2 alpha)) (+.f64 3 alpha)) (pow.f64 beta 2)) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 3 alpha) (*.f64 2 (+.f64 2 alpha)))) (*.f64 2 (+.f64 2 alpha)))))
(fma.f64 (+.f64 (+.f64 alpha 4) (+.f64 -4 (*.f64 -2 alpha))) beta (fma.f64 (-.f64 (*.f64 2 (+.f64 2 alpha)) (+.f64 alpha 3)) (*.f64 beta beta) (fma.f64 (pow.f64 beta 3) (+.f64 (+.f64 alpha 3) (+.f64 -4 (*.f64 -2 alpha))) (*.f64 2 (+.f64 2 alpha)))))
(fma.f64 (+.f64 alpha (+.f64 4 (+.f64 -4 (*.f64 -2 alpha)))) beta (fma.f64 (+.f64 4 (-.f64 (*.f64 2 alpha) (+.f64 alpha 3))) (*.f64 beta beta) (fma.f64 (pow.f64 beta 3) (+.f64 (+.f64 alpha 3) (+.f64 -4 (*.f64 -2 alpha))) (+.f64 4 (*.f64 2 alpha)))))
beta
(+.f64 beta (+.f64 3 alpha))
(+.f64 beta (+.f64 alpha 3))
(+.f64 alpha (+.f64 beta 3))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 alpha (*.f64 2 (/.f64 (+.f64 2 alpha) beta))))) (+.f64 (/.f64 alpha beta) (*.f64 3 (/.f64 1 beta))))
(+.f64 beta (-.f64 (+.f64 3 (+.f64 alpha (*.f64 2 (/.f64 (+.f64 2 alpha) beta)))) (+.f64 (/.f64 alpha beta) (/.f64 3 beta))))
(+.f64 (+.f64 (+.f64 alpha 3) (*.f64 2 (/.f64 (+.f64 2 alpha) beta))) (-.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 3 beta))))
(-.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 (/.f64 (+.f64 2 alpha) beta)) (+.f64 alpha (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 2))) (/.f64 alpha (pow.f64 beta 2))))))) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 3 (/.f64 1 beta)) (*.f64 2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))))))
(+.f64 beta (-.f64 (+.f64 3 (fma.f64 2 (/.f64 (+.f64 2 alpha) beta) (+.f64 alpha (+.f64 (/.f64 3 (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta)))))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 3 beta) (/.f64 (*.f64 2 (+.f64 2 alpha)) (*.f64 beta beta))))))
(+.f64 beta (+.f64 (fma.f64 2 (/.f64 (+.f64 2 alpha) beta) (+.f64 (/.f64 alpha (*.f64 beta beta)) (+.f64 alpha (/.f64 3 (*.f64 beta beta))))) (-.f64 3 (+.f64 (/.f64 3 beta) (+.f64 (/.f64 alpha beta) (/.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 beta beta)))))))
beta
(-.f64 (+.f64 beta (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))) 1)
(+.f64 beta (fma.f64 -1 (fma.f64 -1 (+.f64 2 alpha) -2) -1))
(+.f64 beta (fma.f64 -1 (+.f64 (-.f64 -2 alpha) -2) -1))
(-.f64 (+.f64 beta (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 -1 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) 1))) beta)) (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) 1)
(+.f64 beta (-.f64 (fma.f64 -1 (/.f64 (-.f64 (+.f64 -4 (*.f64 -2 alpha)) (neg.f64 (fma.f64 -1 (fma.f64 -1 (+.f64 2 alpha) -2) -1))) beta) (neg.f64 (fma.f64 -1 (+.f64 2 alpha) -2))) 1))
(+.f64 beta (-.f64 (fma.f64 -1 (/.f64 (-.f64 (+.f64 -4 (*.f64 -2 alpha)) (neg.f64 (fma.f64 -1 (+.f64 (-.f64 -2 alpha) -2) -1))) beta) (neg.f64 (+.f64 (-.f64 -2 alpha) -2))) 1))
(-.f64 (+.f64 beta (+.f64 (*.f64 -2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 -1 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) 1))) beta)) (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)) 1) (pow.f64 beta 2)))))
(+.f64 beta (-.f64 (fma.f64 -2 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)) (fma.f64 -1 (/.f64 (-.f64 (+.f64 -4 (*.f64 -2 alpha)) (neg.f64 (fma.f64 -1 (fma.f64 -1 (+.f64 2 alpha) -2) -1))) beta) (neg.f64 (fma.f64 -1 (+.f64 2 alpha) -2)))) (+.f64 1 (/.f64 (neg.f64 (fma.f64 -1 (fma.f64 -1 (+.f64 2 alpha) -2) -1)) (*.f64 beta beta)))))
(+.f64 (fma.f64 -2 (/.f64 (+.f64 2 alpha) (*.f64 beta beta)) (fma.f64 -1 (/.f64 (-.f64 (+.f64 -4 (*.f64 -2 alpha)) (neg.f64 (fma.f64 -1 (+.f64 (-.f64 -2 alpha) -2) -1))) beta) (neg.f64 (+.f64 (-.f64 -2 alpha) -2)))) (-.f64 beta (+.f64 1 (/.f64 (neg.f64 (fma.f64 -1 (+.f64 (-.f64 -2 alpha) -2) -1)) (*.f64 beta beta)))))
(/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1))
(/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (*.f64 alpha (+.f64 (/.f64 beta (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1)))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (*.f64 alpha (+.f64 (/.f64 beta (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1)))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (/.f64 beta (+.f64 beta 1)) (*.f64 2 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (*.f64 alpha (+.f64 (/.f64 beta (+.f64 beta 1)) (/.f64 2 (+.f64 beta 1)))) (/.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta 1)))
(/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1))
(/.f64 (+.f64 2 beta) (/.f64 (+.f64 beta 1) alpha))
(*.f64 alpha (/.f64 (+.f64 2 beta) (+.f64 beta 1)))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(*.f64 (/.f64 (+.f64 2 beta) (+.f64 beta 1)) (+.f64 2 (+.f64 alpha beta)))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(*.f64 (/.f64 (+.f64 2 beta) (+.f64 beta 1)) (+.f64 2 (+.f64 alpha beta)))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(*.f64 (/.f64 (+.f64 2 beta) (+.f64 beta 1)) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1))
(/.f64 (+.f64 2 beta) (/.f64 (+.f64 beta 1) alpha))
(*.f64 alpha (/.f64 (+.f64 2 beta) (+.f64 beta 1)))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(*.f64 (/.f64 (+.f64 2 beta) (+.f64 beta 1)) (+.f64 2 (+.f64 alpha beta)))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(*.f64 (/.f64 (+.f64 2 beta) (+.f64 beta 1)) (+.f64 2 (+.f64 alpha beta)))
(+.f64 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)))
(*.f64 (/.f64 (+.f64 2 beta) (+.f64 beta 1)) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(/.f64 (+.f64 beta 1) (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta 3))) (fma.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta 3))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 4)))) alpha (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2))))
(+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta 3))) (fma.f64 (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2)) (-.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 beta) 2) (+.f64 beta 3))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2)) (pow.f64 (+.f64 2 beta) 4))))) alpha (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 2 beta) 2))))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 beta 1) (*.f64 alpha (+.f64 2 beta)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) alpha)
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(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (*.f64 (/.f64 (+.f64 2 beta) (+.f64 beta 1)) (+.f64 beta (+.f64 alpha 3)))))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 2 beta)) (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 alpha beta)))))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (*.f64 (+.f64 3 (+.f64 beta alpha)) (/.f64 (+.f64 beta 2) (+.f64 1 beta))) (+.f64 2 (+.f64 beta alpha))))) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 2 (+.f64 alpha beta)) (*.f64 (/.f64 (+.f64 2 beta) (+.f64 beta 1)) (+.f64 beta (+.f64 alpha 3)))))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 2 beta)) (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 alpha beta)))))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 alpha) (*.f64 (*.f64 (+.f64 3 (+.f64 beta alpha)) (/.f64 (+.f64 beta 2) (+.f64 1 beta))) (+.f64 2 (+.f64 beta alpha))))))
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 2 (+.f64 alpha beta)) (*.f64 (/.f64 (+.f64 2 beta) (+.f64 beta 1)) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (+.f64 alpha 1) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 2 beta)) (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 alpha beta)))))
(+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 2) alpha))
(fma.f64 alpha (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2))
(+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha (+.f64 beta 2)))
(fma.f64 alpha (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2))
(+.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (+.f64 2 alpha)))
(fma.f64 beta (+.f64 2 beta) (*.f64 (+.f64 2 alpha) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 alpha beta)))
(+.f64 (*.f64 (+.f64 beta 2) (+.f64 2 alpha)) (*.f64 beta (+.f64 beta 2)))
(fma.f64 beta (+.f64 2 beta) (*.f64 (+.f64 2 alpha) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 alpha beta)))
(+.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) beta) (*.f64 (+.f64 2 (+.f64 beta alpha)) 2))
(fma.f64 beta (+.f64 2 beta) (*.f64 (+.f64 2 alpha) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 alpha beta)))
(+.f64 (*.f64 (+.f64 beta 2) alpha) (pow.f64 (+.f64 beta 2) 2))
(fma.f64 alpha (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2))
(+.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) 2) (*.f64 (+.f64 2 (+.f64 beta alpha)) beta))
(fma.f64 beta (+.f64 2 beta) (*.f64 (+.f64 2 alpha) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 alpha beta)))
(+.f64 (*.f64 beta (+.f64 2 (+.f64 beta alpha))) (*.f64 2 (+.f64 2 (+.f64 beta alpha))))
(fma.f64 beta (+.f64 2 beta) (*.f64 (+.f64 2 alpha) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 alpha beta)))
(+.f64 (*.f64 alpha (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))
(fma.f64 alpha (+.f64 2 beta) (pow.f64 (+.f64 2 beta) 2))
(+.f64 (*.f64 (*.f64 beta (+.f64 beta 2)) 1) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 2 alpha)) 1))
(fma.f64 beta (+.f64 2 beta) (*.f64 (+.f64 2 alpha) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 alpha beta)))
(+.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 2 alpha)) 1) (*.f64 (*.f64 beta (+.f64 beta 2)) 1))
(fma.f64 beta (+.f64 2 beta) (*.f64 (+.f64 2 alpha) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 alpha beta)))
(+.f64 (*.f64 2 (+.f64 2 (+.f64 beta alpha))) (*.f64 beta (+.f64 2 (+.f64 beta alpha))))
(fma.f64 beta (+.f64 2 beta) (*.f64 (+.f64 2 alpha) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 alpha beta)))
(+.f64 (+.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 beta (+.f64 2 alpha))) (*.f64 (+.f64 2 alpha) 2))
(+.f64 (*.f64 2 (+.f64 2 alpha)) (*.f64 beta (+.f64 (+.f64 2 beta) (+.f64 2 alpha))))
(+.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 beta (+.f64 (+.f64 (+.f64 2 beta) 2) alpha)))
(+.f64 (+.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 beta (+.f64 2 alpha))) (*.f64 2 (+.f64 2 alpha)))
(+.f64 (*.f64 2 (+.f64 2 alpha)) (*.f64 beta (+.f64 (+.f64 2 beta) (+.f64 2 alpha))))
(+.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 beta (+.f64 (+.f64 (+.f64 2 beta) 2) alpha)))
(+.f64 (+.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 2 alpha) 2)) (*.f64 beta (+.f64 2 alpha)))
(+.f64 (*.f64 2 (+.f64 2 alpha)) (*.f64 beta (+.f64 (+.f64 2 beta) (+.f64 2 alpha))))
(+.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 beta (+.f64 (+.f64 (+.f64 2 beta) 2) alpha)))
(+.f64 (+.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 beta 2) alpha)) (*.f64 (+.f64 beta 2) 2))
(fma.f64 beta (+.f64 2 beta) (*.f64 (+.f64 2 alpha) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 alpha beta)))
(+.f64 (+.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 2 (+.f64 2 alpha))) (*.f64 beta (+.f64 2 alpha)))
(+.f64 (*.f64 2 (+.f64 2 alpha)) (*.f64 beta (+.f64 (+.f64 2 beta) (+.f64 2 alpha))))
(+.f64 (+.f64 4 (*.f64 2 alpha)) (*.f64 beta (+.f64 (+.f64 (+.f64 2 beta) 2) alpha)))
(+.f64 (+.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 alpha (+.f64 beta 2))) (*.f64 2 (+.f64 beta 2)))
(fma.f64 beta (+.f64 2 beta) (*.f64 (+.f64 2 alpha) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 alpha beta)))
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) (+.f64 2 alpha)) (*.f64 beta beta)) (*.f64 beta 2))
(fma.f64 beta (+.f64 2 beta) (*.f64 (+.f64 2 alpha) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 alpha beta)))
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) (+.f64 2 alpha)) (*.f64 beta 2)) (*.f64 beta beta))
(fma.f64 beta (+.f64 2 beta) (*.f64 (+.f64 2 alpha) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 alpha beta)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))))) 1)
(fma.f64 beta (+.f64 2 beta) (*.f64 (+.f64 2 alpha) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (+.f64 beta -2) alpha))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (-.f64 (+.f64 beta -2) alpha) (+.f64 2 beta)))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (+.f64 -2 (-.f64 beta alpha)) (+.f64 2 beta)))
(/.f64 (*.f64 (+.f64 beta 2) (+.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 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) beta))) (+.f64 2 beta)))
(/.f64 (+.f64 2 beta) (/.f64 (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) beta))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))
(/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (fma.f64 beta beta -4)) (+.f64 beta -2))
(/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4)))
(/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))
(/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (fma.f64 beta beta (-.f64 4 (*.f64 2 beta))) (+.f64 (pow.f64 beta 3) 8)))
(/.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 2 (+.f64 beta alpha))) (+.f64 beta -2))
(/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (+.f64 beta -2) (fma.f64 beta beta -4)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 2 (+.f64 beta alpha))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))
(/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (fma.f64 beta beta (-.f64 4 (*.f64 2 beta))) (+.f64 (pow.f64 beta 3) 8)))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 beta 2)) (-.f64 (+.f64 beta -2) alpha))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (-.f64 (+.f64 beta -2) alpha) (+.f64 2 beta)))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (+.f64 -2 (-.f64 beta alpha)) (+.f64 2 beta)))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 beta 2)) (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) beta))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) beta))) (+.f64 2 beta)))
(/.f64 (+.f64 2 beta) (/.f64 (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) beta))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))))
(/.f64 (-.f64 (*.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 beta (+.f64 beta 2))) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 2 alpha)) (*.f64 (+.f64 beta 2) (+.f64 2 alpha)))) (-.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (+.f64 2 alpha))))
(/.f64 (-.f64 (*.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) (*.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 beta (+.f64 2 beta)) (*.f64 (+.f64 2 alpha) (+.f64 2 beta))))
(/.f64 (-.f64 (*.f64 beta (*.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 (pow.f64 (+.f64 2 beta) 2) (pow.f64 (+.f64 2 alpha) 2))) (-.f64 (*.f64 beta (+.f64 2 beta)) (*.f64 (+.f64 2 alpha) (+.f64 2 beta))))
(/.f64 (+.f64 (pow.f64 (*.f64 beta (+.f64 beta 2)) 3) (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 2 alpha)) 3)) (+.f64 (*.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 beta (+.f64 beta 2))) (-.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 2 alpha)) (*.f64 (+.f64 beta 2) (+.f64 2 alpha))) (*.f64 (*.f64 beta (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (+.f64 2 alpha))))))
(/.f64 (+.f64 (pow.f64 (*.f64 beta (+.f64 2 beta)) 3) (pow.f64 (*.f64 (+.f64 2 alpha) (+.f64 2 beta)) 3)) (+.f64 (*.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 beta) 2)) (*.f64 (*.f64 (+.f64 2 alpha) (+.f64 2 beta)) (-.f64 (*.f64 (+.f64 2 alpha) (+.f64 2 beta)) (*.f64 beta (+.f64 2 beta))))))
(/.f64 (+.f64 (pow.f64 (*.f64 beta (+.f64 2 beta)) 3) (pow.f64 (*.f64 (+.f64 2 alpha) (+.f64 2 beta)) 3)) (+.f64 (*.f64 beta (*.f64 beta (pow.f64 (+.f64 2 beta) 2))) (*.f64 (+.f64 2 alpha) (*.f64 (+.f64 2 beta) (-.f64 (*.f64 (+.f64 2 alpha) (+.f64 2 beta)) (*.f64 beta (+.f64 2 beta)))))))
(/.f64 (*.f64 (fma.f64 beta beta -4) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (+.f64 beta -2) (-.f64 (+.f64 beta -2) alpha)))
(*.f64 (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)) (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (-.f64 (+.f64 beta -2) alpha)))
(*.f64 (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)) (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 -2 (-.f64 beta alpha))))
(/.f64 (*.f64 (fma.f64 beta beta -4) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 (+.f64 beta -2) (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) beta)))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 (*.f64 (+.f64 beta -2) (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) beta)))) (fma.f64 beta beta -4)))
(*.f64 (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)) (/.f64 (+.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 (*.f64 (+.f64 8 (pow.f64 beta 3)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))) (-.f64 (+.f64 beta -2) alpha)))
(*.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (-.f64 (+.f64 beta -2) alpha)) (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (-.f64 4 (*.f64 2 beta)))))
(*.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 -2 (-.f64 beta alpha))) (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (-.f64 4 (*.f64 2 beta)))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 beta 3)) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))) (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) beta)))))
(*.f64 (/.f64 (+.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 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (-.f64 4 (*.f64 2 beta)))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (fma.f64 beta beta -4)) (*.f64 (-.f64 (+.f64 beta -2) alpha) (+.f64 beta -2)))
(*.f64 (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)) (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (-.f64 (+.f64 beta -2) alpha)))
(*.f64 (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)) (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 -2 (-.f64 beta alpha))))
(/.f64 (*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (-.f64 (+.f64 beta -2) alpha) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))))
(*.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (-.f64 (+.f64 beta -2) alpha)) (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (-.f64 4 (*.f64 2 beta)))))
(*.f64 (/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 2 alpha) 2)) (+.f64 -2 (-.f64 beta alpha))) (/.f64 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (-.f64 4 (*.f64 2 beta)))))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (fma.f64 beta beta -4)) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) beta))) (+.f64 beta -2)))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (/.f64 (*.f64 (+.f64 beta -2) (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) beta)))) (fma.f64 beta beta -4)))
(*.f64 (/.f64 (fma.f64 beta beta -4) (+.f64 beta -2)) (/.f64 (+.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 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 2 alpha) 3)) (+.f64 8 (pow.f64 beta 3))) (*.f64 (fma.f64 beta beta (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 2 alpha) beta))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))))
(*.f64 (/.f64 (+.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 (+.f64 (pow.f64 beta 3) 8) (fma.f64 beta beta (-.f64 4 (*.f64 2 beta)))))
(pow.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))) 1)
(fma.f64 beta (+.f64 2 beta) (*.f64 (+.f64 2 alpha) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 alpha beta)))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))) 2)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 alpha beta)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))) 3)
(fma.f64 beta (+.f64 2 beta) (*.f64 (+.f64 2 alpha) (+.f64 2 beta)))
(*.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)
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(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 alpha beta)))
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(*.f64 (+.f64 2 beta) (log.f64 (exp.f64 (+.f64 2 (+.f64 alpha beta)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))))))
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(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 alpha beta)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))) 3))
(fma.f64 beta (+.f64 2 beta) (*.f64 (+.f64 2 alpha) (+.f64 2 beta)))
(*.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)))
(fma.f64 beta (+.f64 2 beta) (*.f64 (+.f64 2 alpha) (+.f64 2 beta)))
(*.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)))
(fma.f64 beta (+.f64 2 beta) (*.f64 (+.f64 2 alpha) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 alpha beta)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))))
(fma.f64 beta (+.f64 2 beta) (*.f64 (+.f64 2 alpha) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 alpha beta)))
(exp.f64 (log.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))))
(fma.f64 beta (+.f64 2 beta) (*.f64 (+.f64 2 alpha) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 alpha beta)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))) 1))
(fma.f64 beta (+.f64 2 beta) (*.f64 (+.f64 2 alpha) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 alpha beta)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))))
(fma.f64 beta (+.f64 2 beta) (*.f64 (+.f64 2 alpha) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 alpha beta)))
(fma.f64 beta (+.f64 beta 2) (*.f64 (+.f64 beta 2) (+.f64 2 alpha)))
(fma.f64 beta (+.f64 2 beta) (*.f64 (+.f64 2 alpha) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 alpha beta)))
(fma.f64 (+.f64 beta 2) beta (*.f64 (+.f64 beta 2) (+.f64 2 alpha)))
(fma.f64 beta (+.f64 2 beta) (*.f64 (+.f64 2 alpha) (+.f64 2 beta)))
(*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 alpha beta)))
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(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))) (log1p.f64 beta))) 1))
(/.f64 (exp.f64 (log1p.f64 alpha)) (/.f64 (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 alpha beta))) (exp.f64 (log1p.f64 beta))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 beta) (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))))))
(*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 2 beta) (+.f64 2 (+.f64 alpha beta)))))
(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (+.f64 2 beta))) (+.f64 2 (+.f64 alpha beta)))

localize43.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.54%
(/.f64 2/9 beta)
Compiler

Compiled 7 to 5 computations (28.6% saved)

series0.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite88.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify44.0ms (0.2%)

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

Useful iterations: 3 (0.0ms)

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

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.02%
(+.f64 (*.f64 2/9 beta) 1/3)
0.57%
(*.f64 2/9 beta)
3.93%
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 alpha alpha))
Compiler

Compiled 26 to 16 computations (38.5% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
alpha
@0
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 alpha alpha))
0.0ms
beta
@0
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 alpha alpha))
0.0ms
beta
@-inf
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 alpha alpha))
0.0ms
beta
@inf
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 alpha alpha))
0.0ms
alpha
@inf
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 alpha alpha))

rewrite123.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1366×associate-*r/
1080×associate-/r*
1038×associate-*l/
970×*-commutative
922×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
122121
2292221
Stop Event
node limit
Counts
1 → 49
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 alpha alpha))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 alpha -2) (*.f64 2/9 beta)) (*.f64 (pow.f64 alpha -2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 alpha -2) 1/3) (*.f64 (pow.f64 alpha -2) (*.f64 2/9 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) alpha) (/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (*.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 2) (pow.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) (cbrt.f64 (pow.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 2) (pow.f64 alpha 4))) (cbrt.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) (*.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 2/9 beta 1/3) alpha) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1/3 (*.f64 2/9 beta)) (/.f64 -1 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (pow.f64 alpha -2)) (sqrt.f64 (fma.f64 2/9 beta 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (pow.f64 alpha -2)) (/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) (pow.f64 alpha -2)) (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) (pow.f64 alpha -2)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (/.f64 (fma.f64 2/9 beta 1/3) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (fma.f64 2/9 beta 1/3) (cbrt.f64 (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 2/9 beta 1/3) (cbrt.f64 (*.f64 alpha alpha))) (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 alpha alpha)) (-.f64 -1/3 (*.f64 2/9 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) 1) (*.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) 1) (*.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) alpha) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (cbrt.f64 (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (cbrt.f64 (pow.f64 alpha 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) alpha) (/.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) (cbrt.f64 (pow.f64 alpha 4))) (cbrt.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) (*.f64 alpha alpha)) (cbrt.f64 (fma.f64 2/9 beta 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 alpha (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) alpha))) (cbrt.f64 (fma.f64 2/9 beta 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) (pow.f64 alpha -2)) (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9)) (fma.f64 2/9 beta 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) (pow.f64 alpha -2)) (-.f64 (*.f64 8/729 (pow.f64 beta 3)) 1/27)) (+.f64 (*.f64 4/81 (*.f64 beta beta)) (+.f64 1/9 (*.f64 beta 2/27))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 alpha -2) (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3)))) (-.f64 (*.f64 (*.f64 4/81 (*.f64 beta beta)) (*.f64 4/81 (*.f64 beta beta))) (*.f64 (-.f64 1/9 (*.f64 beta 2/27)) (-.f64 1/9 (*.f64 beta 2/27))))) (+.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) (*.f64 beta 2/27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 alpha -2) (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3)))) (+.f64 (pow.f64 (*.f64 4/81 (*.f64 beta beta)) 3) (pow.f64 (-.f64 1/9 (*.f64 beta 2/27)) 3))) (+.f64 (*.f64 (*.f64 4/81 (*.f64 beta beta)) (*.f64 4/81 (*.f64 beta beta))) (-.f64 (*.f64 (-.f64 1/9 (*.f64 beta 2/27)) (-.f64 1/9 (*.f64 beta 2/27))) (*.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) alpha) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 alpha alpha) (fma.f64 2/9 beta 1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 2/9 beta 1/3) (neg.f64 (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 2) (pow.f64 alpha 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 2/9 beta 1/3)) (pow.f64 alpha -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2))))))))

simplify95.0ms (0.4%)

Algorithm
egg-herbie
Rules
1208×associate-*r/
896×distribute-lft-in
864×associate-*l/
834×distribute-rgt-in
762×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01522219
14432159
217102105
378182105
Stop Event
node limit
Counts
73 → 78
Calls
Call 1
Inputs
(/.f64 1/3 (pow.f64 alpha 2))
(+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 2/9 (/.f64 beta (pow.f64 alpha 2)))
(+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))))
(*.f64 2/9 (/.f64 beta (pow.f64 alpha 2)))
(+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(+.f64 (*.f64 (pow.f64 alpha -2) (*.f64 2/9 beta)) (*.f64 (pow.f64 alpha -2) 1/3))
(+.f64 (*.f64 (pow.f64 alpha -2) 1/3) (*.f64 (pow.f64 alpha -2) (*.f64 2/9 beta)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2)))) 1)
(*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2))
(*.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2)) 1)
(*.f64 1 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) alpha) (/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) alpha))
(*.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (*.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (pow.f64 alpha -2)))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 2) (pow.f64 alpha 4))))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) (cbrt.f64 (pow.f64 alpha 4))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 2) (pow.f64 alpha 4))) (cbrt.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) (*.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) (pow.f64 alpha -2)))
(*.f64 (/.f64 (fma.f64 2/9 beta 1/3) alpha) (/.f64 1 alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(*.f64 (-.f64 -1/3 (*.f64 2/9 beta)) (/.f64 -1 (*.f64 alpha alpha)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (pow.f64 alpha -2)) (sqrt.f64 (fma.f64 2/9 beta 1/3)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (pow.f64 alpha -2)) (/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) 1))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) (pow.f64 alpha -2)) (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) (pow.f64 alpha -2)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) 1))
(*.f64 (/.f64 1 alpha) (/.f64 (fma.f64 2/9 beta 1/3) alpha))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (fma.f64 2/9 beta 1/3) (cbrt.f64 (*.f64 alpha alpha))))
(*.f64 (/.f64 (fma.f64 2/9 beta 1/3) (cbrt.f64 (*.f64 alpha alpha))) (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))))
(*.f64 (/.f64 -1 (*.f64 alpha alpha)) (-.f64 -1/3 (*.f64 2/9 beta)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) 1) (*.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (pow.f64 alpha -2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) 1) (*.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) (pow.f64 alpha -2)))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) alpha) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) alpha))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (cbrt.f64 (*.f64 alpha alpha))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (cbrt.f64 (pow.f64 alpha 4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) alpha) (/.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) alpha))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) (cbrt.f64 (pow.f64 alpha 4))) (cbrt.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) (*.f64 alpha alpha)) (cbrt.f64 (fma.f64 2/9 beta 1/3)))
(*.f64 (/.f64 1 (/.f64 alpha (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) alpha))) (cbrt.f64 (fma.f64 2/9 beta 1/3)))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) (pow.f64 alpha -2)) (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9)) (fma.f64 2/9 beta 1/3))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) (pow.f64 alpha -2)) (-.f64 (*.f64 8/729 (pow.f64 beta 3)) 1/27)) (+.f64 (*.f64 4/81 (*.f64 beta beta)) (+.f64 1/9 (*.f64 beta 2/27))))
(*.f64 (/.f64 (*.f64 (pow.f64 alpha -2) (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3)))) (-.f64 (*.f64 (*.f64 4/81 (*.f64 beta beta)) (*.f64 4/81 (*.f64 beta beta))) (*.f64 (-.f64 1/9 (*.f64 beta 2/27)) (-.f64 1/9 (*.f64 beta 2/27))))) (+.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) (*.f64 beta 2/27)))
(*.f64 (/.f64 (*.f64 (pow.f64 alpha -2) (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3)))) (+.f64 (pow.f64 (*.f64 4/81 (*.f64 beta beta)) 3) (pow.f64 (-.f64 1/9 (*.f64 beta 2/27)) 3))) (+.f64 (*.f64 (*.f64 4/81 (*.f64 beta beta)) (*.f64 4/81 (*.f64 beta beta))) (-.f64 (*.f64 (-.f64 1/9 (*.f64 beta 2/27)) (-.f64 1/9 (*.f64 beta 2/27))) (*.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))))))
(pow.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) alpha) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2)) 3) 1/3)
(pow.f64 (/.f64 (*.f64 alpha alpha) (fma.f64 2/9 beta 1/3)) -1)
(neg.f64 (/.f64 (fma.f64 2/9 beta 1/3) (neg.f64 (*.f64 alpha alpha))))
(sqrt.f64 (/.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 2) (pow.f64 alpha 4)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 2/9 beta 1/3)) (pow.f64 alpha -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2))))
(exp.f64 (log.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2))))
Outputs
(/.f64 1/3 (pow.f64 alpha 2))
(/.f64 1/3 (*.f64 alpha alpha))
(*.f64 1/3 (pow.f64 alpha -2))
(+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))))
(fma.f64 2/9 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/3 (*.f64 alpha alpha)))
(fma.f64 1/3 (pow.f64 alpha -2) (/.f64 2/9 (/.f64 alpha (/.f64 beta alpha))))
(+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))))
(fma.f64 2/9 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/3 (*.f64 alpha alpha)))
(fma.f64 1/3 (pow.f64 alpha -2) (/.f64 2/9 (/.f64 alpha (/.f64 beta alpha))))
(+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))))
(fma.f64 2/9 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/3 (*.f64 alpha alpha)))
(fma.f64 1/3 (pow.f64 alpha -2) (/.f64 2/9 (/.f64 alpha (/.f64 beta alpha))))
(*.f64 2/9 (/.f64 beta (pow.f64 alpha 2)))
(*.f64 2/9 (/.f64 beta (*.f64 alpha alpha)))
(*.f64 (/.f64 beta alpha) (/.f64 2/9 alpha))
(/.f64 2/9 (/.f64 alpha (/.f64 beta alpha)))
(+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))))
(fma.f64 2/9 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/3 (*.f64 alpha alpha)))
(fma.f64 1/3 (pow.f64 alpha -2) (/.f64 2/9 (/.f64 alpha (/.f64 beta alpha))))
(+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))))
(fma.f64 2/9 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/3 (*.f64 alpha alpha)))
(fma.f64 1/3 (pow.f64 alpha -2) (/.f64 2/9 (/.f64 alpha (/.f64 beta alpha))))
(+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))))
(fma.f64 2/9 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/3 (*.f64 alpha alpha)))
(fma.f64 1/3 (pow.f64 alpha -2) (/.f64 2/9 (/.f64 alpha (/.f64 beta alpha))))
(*.f64 2/9 (/.f64 beta (pow.f64 alpha 2)))
(*.f64 2/9 (/.f64 beta (*.f64 alpha alpha)))
(*.f64 (/.f64 beta alpha) (/.f64 2/9 alpha))
(/.f64 2/9 (/.f64 alpha (/.f64 beta alpha)))
(+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))))
(fma.f64 2/9 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/3 (*.f64 alpha alpha)))
(fma.f64 1/3 (pow.f64 alpha -2) (/.f64 2/9 (/.f64 alpha (/.f64 beta alpha))))
(+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))))
(fma.f64 2/9 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/3 (*.f64 alpha alpha)))
(fma.f64 1/3 (pow.f64 alpha -2) (/.f64 2/9 (/.f64 alpha (/.f64 beta alpha))))
(+.f64 (*.f64 2/9 (/.f64 beta (pow.f64 alpha 2))) (*.f64 1/3 (/.f64 1 (pow.f64 alpha 2))))
(fma.f64 2/9 (/.f64 beta (*.f64 alpha alpha)) (/.f64 1/3 (*.f64 alpha alpha)))
(fma.f64 1/3 (pow.f64 alpha -2) (/.f64 2/9 (/.f64 alpha (/.f64 beta alpha))))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (pow.f64 alpha 2))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(+.f64 (*.f64 (pow.f64 alpha -2) (*.f64 2/9 beta)) (*.f64 (pow.f64 alpha -2) 1/3))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(+.f64 (*.f64 (pow.f64 alpha -2) 1/3) (*.f64 (pow.f64 alpha -2) (*.f64 2/9 beta)))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2)))) 1)
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(*.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2)) 1)
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(*.f64 1 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2)))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) alpha) (/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) alpha))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(*.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (*.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (pow.f64 alpha -2)))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 2) (pow.f64 alpha 4))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 2) (pow.f64 alpha 4))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) alpha) 4)))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) (cbrt.f64 (pow.f64 alpha 4))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) (cbrt.f64 (pow.f64 alpha 4))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) (/.f64 (cbrt.f64 (pow.f64 alpha 4)) (cbrt.f64 (*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 2) (pow.f64 alpha 4))) (cbrt.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 2) (pow.f64 alpha 4))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) alpha) 4)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) (*.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) (pow.f64 alpha -2)))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(*.f64 (/.f64 (fma.f64 2/9 beta 1/3) alpha) (/.f64 1 alpha))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (-.f64 -1/3 (*.f64 2/9 beta)) (/.f64 -1 (*.f64 alpha alpha)))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (pow.f64 alpha -2)) (sqrt.f64 (fma.f64 2/9 beta 1/3)))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (pow.f64 alpha -2)) (/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) 1))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) (pow.f64 alpha -2)) (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) (pow.f64 alpha -2)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) 1))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(*.f64 (/.f64 1 alpha) (/.f64 (fma.f64 2/9 beta 1/3) alpha))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (fma.f64 2/9 beta 1/3) (cbrt.f64 (*.f64 alpha alpha))))
(/.f64 (/.f64 (fma.f64 2/9 beta 1/3) (cbrt.f64 (*.f64 alpha alpha))) (cbrt.f64 (pow.f64 alpha 4)))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 (cbrt.f64 (pow.f64 alpha 4)) (cbrt.f64 (*.f64 alpha alpha))))
(*.f64 (/.f64 (fma.f64 2/9 beta 1/3) (cbrt.f64 (*.f64 alpha alpha))) (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (fma.f64 2/9 beta 1/3) (cbrt.f64 (*.f64 alpha alpha))))
(/.f64 (/.f64 (fma.f64 2/9 beta 1/3) (cbrt.f64 (*.f64 alpha alpha))) (cbrt.f64 (pow.f64 alpha 4)))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 (cbrt.f64 (pow.f64 alpha 4)) (cbrt.f64 (*.f64 alpha alpha))))
(*.f64 (/.f64 -1 (*.f64 alpha alpha)) (-.f64 -1/3 (*.f64 2/9 beta)))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) 1) (*.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (pow.f64 alpha -2)))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) 1) (*.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) (pow.f64 alpha -2)))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) alpha) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) alpha))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (cbrt.f64 (*.f64 alpha alpha))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (fma.f64 2/9 beta 1/3) (cbrt.f64 (*.f64 alpha alpha))))
(/.f64 (/.f64 (fma.f64 2/9 beta 1/3) (cbrt.f64 (*.f64 alpha alpha))) (cbrt.f64 (pow.f64 alpha 4)))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 (cbrt.f64 (pow.f64 alpha 4)) (cbrt.f64 (*.f64 alpha alpha))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (cbrt.f64 (*.f64 alpha alpha))) (/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) (cbrt.f64 (pow.f64 alpha 4))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 alpha 4))) (/.f64 (fma.f64 2/9 beta 1/3) (cbrt.f64 (*.f64 alpha alpha))))
(/.f64 (/.f64 (fma.f64 2/9 beta 1/3) (cbrt.f64 (*.f64 alpha alpha))) (cbrt.f64 (pow.f64 alpha 4)))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 (cbrt.f64 (pow.f64 alpha 4)) (cbrt.f64 (*.f64 alpha alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) alpha) (/.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) alpha))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) (cbrt.f64 (pow.f64 alpha 4))) (cbrt.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) (cbrt.f64 (pow.f64 alpha 4))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) (/.f64 (cbrt.f64 (pow.f64 alpha 4)) (cbrt.f64 (*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) (*.f64 alpha alpha)) (cbrt.f64 (fma.f64 2/9 beta 1/3)))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(*.f64 (/.f64 1 (/.f64 alpha (/.f64 (pow.f64 (cbrt.f64 (fma.f64 2/9 beta 1/3)) 2) alpha))) (cbrt.f64 (fma.f64 2/9 beta 1/3)))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) (pow.f64 alpha -2)) (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9)) (fma.f64 2/9 beta 1/3))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) (pow.f64 alpha -2)) (-.f64 (*.f64 8/729 (pow.f64 beta 3)) 1/27)) (+.f64 (*.f64 4/81 (*.f64 beta beta)) (+.f64 1/9 (*.f64 beta 2/27))))
(*.f64 (/.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9) (/.f64 (fma.f64 8/729 (pow.f64 beta 3) -1/27) (pow.f64 alpha -2))) (fma.f64 4/81 (*.f64 beta beta) (+.f64 1/9 (*.f64 beta 2/27))))
(/.f64 (*.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9) (fma.f64 4/81 (*.f64 beta beta) (fma.f64 beta 2/27 1/9))) (/.f64 (fma.f64 8/729 (pow.f64 beta 3) -1/27) (pow.f64 alpha -2)))
(*.f64 (/.f64 (*.f64 (fma.f64 beta (*.f64 beta 4/81) -1/9) (fma.f64 beta 2/27 (fma.f64 beta (*.f64 beta 4/81) 1/9))) (fma.f64 8/729 (pow.f64 beta 3) -1/27)) (pow.f64 alpha -2))
(*.f64 (/.f64 (*.f64 (pow.f64 alpha -2) (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3)))) (-.f64 (*.f64 (*.f64 4/81 (*.f64 beta beta)) (*.f64 4/81 (*.f64 beta beta))) (*.f64 (-.f64 1/9 (*.f64 beta 2/27)) (-.f64 1/9 (*.f64 beta 2/27))))) (+.f64 (+.f64 (*.f64 4/81 (*.f64 beta beta)) -1/9) (*.f64 beta 2/27)))
(*.f64 (/.f64 (*.f64 (pow.f64 alpha -2) (+.f64 (*.f64 8/729 (pow.f64 beta 3)) 1/27)) (-.f64 (*.f64 16/6561 (*.f64 (*.f64 beta beta) (*.f64 beta beta))) (*.f64 (-.f64 1/9 (*.f64 beta 2/27)) (-.f64 1/9 (*.f64 beta 2/27))))) (+.f64 (fma.f64 4/81 (*.f64 beta beta) -1/9) (*.f64 beta 2/27)))
(*.f64 (*.f64 (/.f64 (pow.f64 alpha -2) (-.f64 (*.f64 16/6561 (*.f64 beta (pow.f64 beta 3))) (*.f64 (+.f64 1/9 (*.f64 beta -2/27)) (+.f64 1/9 (*.f64 beta -2/27))))) (fma.f64 8/729 (pow.f64 beta 3) 1/27)) (fma.f64 beta 2/27 (fma.f64 4/81 (*.f64 beta beta) -1/9)))
(*.f64 (*.f64 (fma.f64 8/729 (pow.f64 beta 3) 1/27) (/.f64 (pow.f64 alpha -2) (fma.f64 16/6561 (pow.f64 beta 4) (*.f64 (fma.f64 beta -2/27 1/9) (fma.f64 beta 2/27 -1/9))))) (fma.f64 4/81 (*.f64 beta beta) (fma.f64 beta 2/27 -1/9)))
(*.f64 (/.f64 (*.f64 (pow.f64 alpha -2) (+.f64 1/27 (*.f64 8/729 (pow.f64 beta 3)))) (+.f64 (pow.f64 (*.f64 4/81 (*.f64 beta beta)) 3) (pow.f64 (-.f64 1/9 (*.f64 beta 2/27)) 3))) (+.f64 (*.f64 (*.f64 4/81 (*.f64 beta beta)) (*.f64 4/81 (*.f64 beta beta))) (-.f64 (*.f64 (-.f64 1/9 (*.f64 beta 2/27)) (-.f64 1/9 (*.f64 beta 2/27))) (*.f64 (*.f64 4/81 (*.f64 beta beta)) (-.f64 1/9 (*.f64 beta 2/27))))))
(*.f64 (/.f64 (pow.f64 alpha -2) (/.f64 (+.f64 (pow.f64 (*.f64 4/81 (*.f64 beta beta)) 3) (pow.f64 (-.f64 1/9 (*.f64 beta 2/27)) 3)) (+.f64 (*.f64 8/729 (pow.f64 beta 3)) 1/27))) (+.f64 (*.f64 16/6561 (*.f64 (*.f64 beta beta) (*.f64 beta beta))) (*.f64 (-.f64 1/9 (*.f64 beta 2/27)) (-.f64 (-.f64 1/9 (*.f64 beta 2/27)) (*.f64 4/81 (*.f64 beta beta))))))
(/.f64 (*.f64 (pow.f64 alpha -2) (fma.f64 8/729 (pow.f64 beta 3) 1/27)) (/.f64 (fma.f64 64/531441 (pow.f64 (*.f64 beta beta) 3) (pow.f64 (+.f64 1/9 (*.f64 beta -2/27)) 3)) (fma.f64 (+.f64 1/9 (*.f64 beta -2/27)) (-.f64 (+.f64 1/9 (*.f64 beta -2/27)) (*.f64 beta (*.f64 beta 4/81))) (*.f64 16/6561 (*.f64 beta (pow.f64 beta 3))))))
(*.f64 (*.f64 (fma.f64 8/729 (pow.f64 beta 3) 1/27) (/.f64 (pow.f64 alpha -2) (fma.f64 64/531441 (pow.f64 beta 6) (pow.f64 (fma.f64 beta -2/27 1/9) 3)))) (fma.f64 (fma.f64 beta -2/27 1/9) (-.f64 1/9 (*.f64 beta (+.f64 (*.f64 beta 4/81) 2/27))) (*.f64 16/6561 (pow.f64 beta 4))))
(*.f64 (*.f64 (fma.f64 8/729 (pow.f64 beta 3) 1/27) (/.f64 (pow.f64 alpha -2) (fma.f64 64/531441 (pow.f64 beta 6) (pow.f64 (fma.f64 beta -2/27 1/9) 3)))) (fma.f64 (fma.f64 beta -2/27 1/9) (-.f64 1/9 (*.f64 beta (+.f64 2/27 (*.f64 beta 4/81)))) (*.f64 16/6561 (pow.f64 beta 4))))
(pow.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2)) 1)
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 2/9 beta 1/3)) alpha) 2)
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2))) 3)
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(pow.f64 (pow.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2)) 3) 1/3)
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(pow.f64 (/.f64 (*.f64 alpha alpha) (fma.f64 2/9 beta 1/3)) -1)
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(neg.f64 (/.f64 (fma.f64 2/9 beta 1/3) (neg.f64 (*.f64 alpha alpha))))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(sqrt.f64 (/.f64 (pow.f64 (fma.f64 2/9 beta 1/3) 2) (pow.f64 alpha 4)))
(fabs.f64 (*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 2/9 beta 1/3)) (pow.f64 alpha -2)))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2)))))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2)) 3))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2))))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(exp.f64 (log.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2))))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 2/9 beta 1/3) (pow.f64 alpha -2))))
(/.f64 (fma.f64 2/9 beta 1/3) (*.f64 alpha alpha))
(*.f64 (pow.f64 alpha -2) (fma.f64 2/9 beta 1/3))

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.02%
(*.f64 (-.f64 2 beta) (+.f64 beta 3))
0.09%
(*.f64 (+.f64 beta 2) (*.f64 (-.f64 2 beta) (+.f64 beta 3)))
0.5%
(/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 (-.f64 2 beta) (+.f64 beta 3))))
Compiler

Compiled 46 to 34 computations (26.1% saved)

series14.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
12.0ms
beta
@-inf
(*.f64 (-.f64 2 beta) (+.f64 beta 3))
0.0ms
beta
@inf
(/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 (-.f64 2 beta) (+.f64 beta 3))))
0.0ms
beta
@0
(/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 (-.f64 2 beta) (+.f64 beta 3))))
0.0ms
beta
@-inf
(/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 (-.f64 2 beta) (+.f64 beta 3))))
0.0ms
beta
@inf
(*.f64 (+.f64 beta 2) (*.f64 (-.f64 2 beta) (+.f64 beta 3)))

rewrite126.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1662×distribute-lft-in
1516×associate-/r*
916×associate-/r/
560×associate-/l*
282×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01287
127787
2384087
Stop Event
node limit
Counts
3 → 375
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 (-.f64 2 beta) (+.f64 beta 3))))
(*.f64 (+.f64 beta 2) (*.f64 (-.f64 2 beta) (+.f64 beta 3)))
(*.f64 (-.f64 2 beta) (+.f64 beta 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -1/2) (pow.f64 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (cbrt.f64 (pow.f64 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -2)) (cbrt.f64 (/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (/.f64 1 (+.f64 beta 3)) (-.f64 2 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta 2)) (pow.f64 (*.f64 (-.f64 2 beta) (+.f64 beta 3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (-.f64 2 beta)) (/.f64 1 (+.f64 beta 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 2)) (cbrt.f64 (/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 2 beta))) (/.f64 1 (+.f64 beta 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (-.f64 2 beta)))))) 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simplify312.0ms (1.5%)

Algorithm
egg-herbie
Rules
1340×associate-*r*
1178×*-commutative
1094×associate-/r*
1068×associate-/l/
1010×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
096922041
1304521319
Stop Event
node limit
Counts
411 → 657
Calls
Call 1
Inputs
1/12
(+.f64 1/12 (*.f64 -1/36 beta))
(+.f64 1/12 (+.f64 (*.f64 -1/36 beta) (*.f64 13/432 (pow.f64 beta 2))))
(+.f64 1/12 (+.f64 (*.f64 -13/1296 (pow.f64 beta 3)) (+.f64 (*.f64 -1/36 beta) (*.f64 13/432 (pow.f64 beta 2)))))
(/.f64 -1 (pow.f64 beta 3))
(-.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 4))) (/.f64 1 (pow.f64 beta 3)))
(-.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 4))) (+.f64 (*.f64 13 (/.f64 1 (pow.f64 beta 5))) (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 4))) (*.f64 39 (/.f64 1 (pow.f64 beta 6)))) (+.f64 (*.f64 13 (/.f64 1 (pow.f64 beta 5))) (/.f64 1 (pow.f64 beta 3))))
(/.f64 -1 (pow.f64 beta 3))
(-.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 4))) (/.f64 1 (pow.f64 beta 3)))
(-.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 4))) (+.f64 (*.f64 13 (/.f64 1 (pow.f64 beta 5))) (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 4))) (*.f64 39 (/.f64 1 (pow.f64 beta 6)))) (+.f64 (*.f64 13 (/.f64 1 (pow.f64 beta 5))) (/.f64 1 (pow.f64 beta 3))))
12
(+.f64 12 (*.f64 4 beta))
(+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 -3 (pow.f64 beta 2))))
(+.f64 12 (+.f64 (*.f64 -1 (pow.f64 beta 3)) (+.f64 (*.f64 4 beta) (*.f64 -3 (pow.f64 beta 2)))))
(*.f64 -1 (pow.f64 beta 3))
(+.f64 (*.f64 -1 (pow.f64 beta 3)) (*.f64 -3 (pow.f64 beta 2)))
(+.f64 (*.f64 -1 (pow.f64 beta 3)) (+.f64 (*.f64 4 beta) (*.f64 -3 (pow.f64 beta 2))))
(+.f64 12 (+.f64 (*.f64 -1 (pow.f64 beta 3)) (+.f64 (*.f64 4 beta) (*.f64 -3 (pow.f64 beta 2)))))
(*.f64 -1 (pow.f64 beta 3))
(+.f64 (*.f64 -1 (pow.f64 beta 3)) (*.f64 -3 (pow.f64 beta 2)))
(+.f64 (*.f64 -1 (pow.f64 beta 3)) (+.f64 (*.f64 4 beta) (*.f64 -3 (pow.f64 beta 2))))
(+.f64 12 (+.f64 (*.f64 -1 (pow.f64 beta 3)) (+.f64 (*.f64 4 beta) (*.f64 -3 (pow.f64 beta 2)))))
6
(+.f64 (*.f64 -1 beta) 6)
(+.f64 (*.f64 -1 beta) (+.f64 6 (*.f64 -1 (pow.f64 beta 2))))
(+.f64 (*.f64 -1 beta) (+.f64 6 (*.f64 -1 (pow.f64 beta 2))))
(*.f64 -1 (pow.f64 beta 2))
(+.f64 (*.f64 -1 beta) (*.f64 -1 (pow.f64 beta 2)))
(+.f64 (*.f64 -1 beta) (+.f64 6 (*.f64 -1 (pow.f64 beta 2))))
(+.f64 (*.f64 -1 beta) (+.f64 6 (*.f64 -1 (pow.f64 beta 2))))
(*.f64 -1 (pow.f64 beta 2))
(+.f64 (*.f64 -1 beta) (*.f64 -1 (pow.f64 beta 2)))
(+.f64 (*.f64 -1 beta) (+.f64 6 (*.f64 -1 (pow.f64 beta 2))))
(+.f64 (*.f64 -1 beta) (+.f64 6 (*.f64 -1 (pow.f64 beta 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) 1)
(*.f64 1 (/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(*.f64 (/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 1)
(*.f64 (pow.f64 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -1/2) (pow.f64 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (cbrt.f64 (pow.f64 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -2)))
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(*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (/.f64 1 (+.f64 beta 3)) (-.f64 2 beta)))
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(*.f64 -1 (/.f64 -1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (-.f64 2 beta)) (/.f64 1 (+.f64 beta 2)))
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(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 (fma.f64 beta beta -9) (-.f64 4 (*.f64 beta beta)))) (*.f64 (+.f64 beta -3) (+.f64 beta 2)))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 (fma.f64 beta beta -9) (-.f64 8 (pow.f64 beta 3)))) (*.f64 (+.f64 beta -3) (+.f64 4 (*.f64 beta (+.f64 beta 2)))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (*.f64 (+.f64 27 (pow.f64 beta 3)) (-.f64 4 (*.f64 beta beta)))) (*.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))) (+.f64 beta 2)))
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(*.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (-.f64 2 beta)) (-.f64 4 (*.f64 beta beta))) (-.f64 2 beta))
(*.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (-.f64 2 beta)) (neg.f64 (fma.f64 beta beta -4))) (neg.f64 (+.f64 beta -2)))
(*.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (-.f64 2 beta)) (neg.f64 (+.f64 8 (pow.f64 beta 3)))) (neg.f64 (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))))
(*.f64 (/.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 2 beta))) (-.f64 9 (*.f64 beta beta))) (-.f64 3 beta))
(*.f64 (/.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 2 beta))) (neg.f64 (fma.f64 beta beta -9))) (neg.f64 (+.f64 beta -3)))
(*.f64 (/.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 2 beta))) (neg.f64 (+.f64 27 (pow.f64 beta 3)))) (neg.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(*.f64 (/.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (-.f64 4 (*.f64 beta beta)) 1)) (+.f64 beta 2))
(*.f64 (/.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (-.f64 4 (*.f64 beta beta)) (sqrt.f64 (+.f64 beta 2)))) (sqrt.f64 (+.f64 beta 2)))
(*.f64 (/.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (-.f64 4 (*.f64 beta beta)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2))) (cbrt.f64 (+.f64 beta 2)))
(*.f64 (/.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (-.f64 4 (*.f64 (neg.f64 beta) (neg.f64 beta)))) (+.f64 beta 2))
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(pow.f64 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -1)
(pow.f64 (/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 1)
(pow.f64 (pow.f64 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) 3)
(pow.f64 (/.f64 1 (pow.f64 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) 3)) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -2))
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(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(exp.f64 (neg.f64 (log.f64 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
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(/.f64 (/.f64 (*.f64 (+.f64 27 (pow.f64 beta 3)) (-.f64 2 beta)) 1) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))))
(/.f64 (/.f64 (*.f64 (+.f64 27 (pow.f64 beta 3)) (-.f64 2 beta)) (sqrt.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))))) (sqrt.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(/.f64 (/.f64 (*.f64 (+.f64 27 (pow.f64 beta 3)) (-.f64 2 beta)) (*.f64 (cbrt.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))) (cbrt.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))) (cbrt.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(/.f64 (/.f64 (*.f64 (-.f64 4 (*.f64 beta beta)) (fma.f64 beta beta -9)) (+.f64 beta 2)) (+.f64 beta -3))
(/.f64 (/.f64 (*.f64 (-.f64 4 (*.f64 beta beta)) (+.f64 27 (pow.f64 beta 3))) (+.f64 beta 2)) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))))
(/.f64 (/.f64 (*.f64 (-.f64 8 (pow.f64 beta 3)) (fma.f64 beta beta -9)) (+.f64 4 (*.f64 beta (+.f64 beta 2)))) (+.f64 beta -3))
(/.f64 (/.f64 (*.f64 (-.f64 8 (pow.f64 beta 3)) (+.f64 27 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta 2)))) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))))
(/.f64 (/.f64 (*.f64 (fma.f64 beta beta -9) (-.f64 4 (*.f64 beta beta))) (+.f64 beta -3)) (+.f64 beta 2))
(/.f64 (/.f64 (*.f64 (fma.f64 beta beta -9) (-.f64 8 (pow.f64 beta 3))) (+.f64 beta -3)) (+.f64 4 (*.f64 beta (+.f64 beta 2))))
(/.f64 (/.f64 (*.f64 (+.f64 27 (pow.f64 beta 3)) (-.f64 4 (*.f64 beta beta))) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))) (+.f64 beta 2))
(/.f64 (/.f64 (*.f64 (+.f64 27 (pow.f64 beta 3)) (-.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))) (+.f64 4 (*.f64 beta (+.f64 beta 2))))
(pow.f64 (*.f64 (-.f64 2 beta) (+.f64 beta 3)) 1)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 2 beta) (+.f64 beta 3))) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 2 beta) (+.f64 beta 3))) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 2 beta) (+.f64 beta 3)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 2 beta) (+.f64 beta 3)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 3)) (-.f64 2 beta)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 2 beta) (+.f64 beta 3)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 2 beta) (+.f64 beta 3)) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 2 beta) 3) (pow.f64 (+.f64 beta 3) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (-.f64 2 beta) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 2 beta) (+.f64 beta 3))))
(exp.f64 (log.f64 (*.f64 (-.f64 2 beta) (+.f64 beta 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 2 beta) (+.f64 beta 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 2 beta) (+.f64 beta 3))))
(fma.f64 beta (-.f64 2 beta) (*.f64 (-.f64 2 beta) 3))
(fma.f64 (-.f64 2 beta) beta (*.f64 (-.f64 2 beta) 3))
Outputs
1/12
(+.f64 1/12 (*.f64 -1/36 beta))
(+.f64 1/12 (+.f64 (*.f64 -1/36 beta) (*.f64 13/432 (pow.f64 beta 2))))
(+.f64 1/12 (fma.f64 -1/36 beta (*.f64 13/432 (*.f64 beta beta))))
(+.f64 1/12 (+.f64 (*.f64 -13/1296 (pow.f64 beta 3)) (+.f64 (*.f64 -1/36 beta) (*.f64 13/432 (pow.f64 beta 2)))))
(+.f64 1/12 (fma.f64 -13/1296 (pow.f64 beta 3) (fma.f64 -1/36 beta (*.f64 13/432 (*.f64 beta beta)))))
(/.f64 -1 (pow.f64 beta 3))
(-.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 4))) (/.f64 1 (pow.f64 beta 3)))
(-.f64 (/.f64 3 (pow.f64 beta 4)) (/.f64 1 (pow.f64 beta 3)))
(-.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 4))) (+.f64 (*.f64 13 (/.f64 1 (pow.f64 beta 5))) (/.f64 1 (pow.f64 beta 3))))
(-.f64 (/.f64 3 (pow.f64 beta 4)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 13 (pow.f64 beta 5))))
(-.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 4))) (*.f64 39 (/.f64 1 (pow.f64 beta 6)))) (+.f64 (*.f64 13 (/.f64 1 (pow.f64 beta 5))) (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 3 (pow.f64 beta 4)) (-.f64 (/.f64 39 (pow.f64 beta 6)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 13 (pow.f64 beta 5)))))
(/.f64 -1 (pow.f64 beta 3))
(-.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 4))) (/.f64 1 (pow.f64 beta 3)))
(-.f64 (/.f64 3 (pow.f64 beta 4)) (/.f64 1 (pow.f64 beta 3)))
(-.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 4))) (+.f64 (*.f64 13 (/.f64 1 (pow.f64 beta 5))) (/.f64 1 (pow.f64 beta 3))))
(-.f64 (/.f64 3 (pow.f64 beta 4)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 13 (pow.f64 beta 5))))
(-.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 beta 4))) (*.f64 39 (/.f64 1 (pow.f64 beta 6)))) (+.f64 (*.f64 13 (/.f64 1 (pow.f64 beta 5))) (/.f64 1 (pow.f64 beta 3))))
(+.f64 (/.f64 3 (pow.f64 beta 4)) (-.f64 (/.f64 39 (pow.f64 beta 6)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (/.f64 13 (pow.f64 beta 5)))))
12
(+.f64 12 (*.f64 4 beta))
(+.f64 12 (*.f64 beta 4))
(+.f64 12 (+.f64 (*.f64 4 beta) (*.f64 -3 (pow.f64 beta 2))))
(+.f64 12 (fma.f64 4 beta (*.f64 -3 (*.f64 beta beta))))
(+.f64 12 (fma.f64 4 beta (*.f64 beta (*.f64 beta -3))))
(+.f64 12 (+.f64 (*.f64 -1 (pow.f64 beta 3)) (+.f64 (*.f64 4 beta) (*.f64 -3 (pow.f64 beta 2)))))
(+.f64 12 (fma.f64 -1 (pow.f64 beta 3) (fma.f64 4 beta (*.f64 -3 (*.f64 beta beta)))))
(+.f64 12 (fma.f64 -1 (pow.f64 beta 3) (fma.f64 4 beta (*.f64 beta (*.f64 beta -3)))))
(*.f64 -1 (pow.f64 beta 3))
(pow.f64 (neg.f64 beta) 3)
(+.f64 (*.f64 -1 (pow.f64 beta 3)) (*.f64 -3 (pow.f64 beta 2)))
(fma.f64 -1 (pow.f64 beta 3) (*.f64 -3 (*.f64 beta beta)))
(fma.f64 -1 (pow.f64 beta 3) (*.f64 beta (*.f64 beta -3)))
(+.f64 (*.f64 -1 (pow.f64 beta 3)) (+.f64 (*.f64 4 beta) (*.f64 -3 (pow.f64 beta 2))))
(fma.f64 -1 (pow.f64 beta 3) (fma.f64 4 beta (*.f64 -3 (*.f64 beta beta))))
(fma.f64 -1 (pow.f64 beta 3) (fma.f64 4 beta (*.f64 beta (*.f64 beta -3))))
(+.f64 12 (+.f64 (*.f64 -1 (pow.f64 beta 3)) (+.f64 (*.f64 4 beta) (*.f64 -3 (pow.f64 beta 2)))))
(+.f64 12 (fma.f64 -1 (pow.f64 beta 3) (fma.f64 4 beta (*.f64 -3 (*.f64 beta beta)))))
(+.f64 12 (fma.f64 -1 (pow.f64 beta 3) (fma.f64 4 beta (*.f64 beta (*.f64 beta -3)))))
(*.f64 -1 (pow.f64 beta 3))
(pow.f64 (neg.f64 beta) 3)
(+.f64 (*.f64 -1 (pow.f64 beta 3)) (*.f64 -3 (pow.f64 beta 2)))
(fma.f64 -1 (pow.f64 beta 3) (*.f64 -3 (*.f64 beta beta)))
(fma.f64 -1 (pow.f64 beta 3) (*.f64 beta (*.f64 beta -3)))
(+.f64 (*.f64 -1 (pow.f64 beta 3)) (+.f64 (*.f64 4 beta) (*.f64 -3 (pow.f64 beta 2))))
(fma.f64 -1 (pow.f64 beta 3) (fma.f64 4 beta (*.f64 -3 (*.f64 beta beta))))
(fma.f64 -1 (pow.f64 beta 3) (fma.f64 4 beta (*.f64 beta (*.f64 beta -3))))
(+.f64 12 (+.f64 (*.f64 -1 (pow.f64 beta 3)) (+.f64 (*.f64 4 beta) (*.f64 -3 (pow.f64 beta 2)))))
(+.f64 12 (fma.f64 -1 (pow.f64 beta 3) (fma.f64 4 beta (*.f64 -3 (*.f64 beta beta)))))
(+.f64 12 (fma.f64 -1 (pow.f64 beta 3) (fma.f64 4 beta (*.f64 beta (*.f64 beta -3)))))
6
(+.f64 (*.f64 -1 beta) 6)
(fma.f64 -1 beta 6)
(-.f64 6 beta)
(+.f64 (*.f64 -1 beta) (+.f64 6 (*.f64 -1 (pow.f64 beta 2))))
(+.f64 (fma.f64 -1 beta 6) (*.f64 beta (neg.f64 beta)))
(+.f64 (-.f64 6 beta) (*.f64 beta (neg.f64 beta)))
(+.f64 (*.f64 -1 beta) (+.f64 6 (*.f64 -1 (pow.f64 beta 2))))
(+.f64 (fma.f64 -1 beta 6) (*.f64 beta (neg.f64 beta)))
(+.f64 (-.f64 6 beta) (*.f64 beta (neg.f64 beta)))
(*.f64 -1 (pow.f64 beta 2))
(*.f64 beta (neg.f64 beta))
(+.f64 (*.f64 -1 beta) (*.f64 -1 (pow.f64 beta 2)))
(*.f64 -1 (+.f64 beta (*.f64 beta beta)))
(+.f64 (*.f64 -1 beta) (+.f64 6 (*.f64 -1 (pow.f64 beta 2))))
(+.f64 (fma.f64 -1 beta 6) (*.f64 beta (neg.f64 beta)))
(+.f64 (-.f64 6 beta) (*.f64 beta (neg.f64 beta)))
(+.f64 (*.f64 -1 beta) (+.f64 6 (*.f64 -1 (pow.f64 beta 2))))
(+.f64 (fma.f64 -1 beta 6) (*.f64 beta (neg.f64 beta)))
(+.f64 (-.f64 6 beta) (*.f64 beta (neg.f64 beta)))
(*.f64 -1 (pow.f64 beta 2))
(*.f64 beta (neg.f64 beta))
(+.f64 (*.f64 -1 beta) (*.f64 -1 (pow.f64 beta 2)))
(*.f64 -1 (+.f64 beta (*.f64 beta beta)))
(+.f64 (*.f64 -1 beta) (+.f64 6 (*.f64 -1 (pow.f64 beta 2))))
(+.f64 (fma.f64 -1 beta 6) (*.f64 beta (neg.f64 beta)))
(+.f64 (-.f64 6 beta) (*.f64 beta (neg.f64 beta)))
(+.f64 (*.f64 -1 beta) (+.f64 6 (*.f64 -1 (pow.f64 beta 2))))
(+.f64 (fma.f64 -1 beta 6) (*.f64 beta (neg.f64 beta)))
(+.f64 (-.f64 6 beta) (*.f64 beta (neg.f64 beta)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) 1)
(/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (-.f64 2 beta) (+.f64 beta 2))))
(*.f64 1 (/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (-.f64 2 beta) (+.f64 beta 2))))
(*.f64 (/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 1)
(/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (-.f64 2 beta) (+.f64 beta 2))))
(*.f64 (pow.f64 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -1/2) (pow.f64 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -1/2))
(/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (-.f64 2 beta) (+.f64 beta 2))))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (cbrt.f64 (pow.f64 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -2)))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (-.f64 2 beta) (+.f64 beta 2))))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (*.f64 (-.f64 2 beta) (+.f64 beta 2))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -2)) (cbrt.f64 (/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (cbrt.f64 (pow.f64 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) -2)))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (-.f64 2 beta) (+.f64 beta 2))))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 beta 3) (*.f64 (-.f64 2 beta) (+.f64 beta 2))) -2)))
(*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 (/.f64 1 (+.f64 beta 3)) (-.f64 2 beta)))
(/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (-.f64 2 beta) (+.f64 beta 2))))
(*.f64 (/.f64 1 (+.f64 beta 2)) (pow.f64 (*.f64 (-.f64 2 beta) (+.f64 beta 3)) -1))
(/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (-.f64 2 beta) (+.f64 beta 2))))
(*.f64 -1 (/.f64 -1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (-.f64 2 beta) (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (-.f64 2 beta)) (/.f64 1 (+.f64 beta 2)))
(/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (-.f64 2 beta) (+.f64 beta 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 2)) (cbrt.f64 (/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 2)))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (-.f64 2 beta) (+.f64 beta 2))))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 3) (*.f64 (-.f64 2 beta) (+.f64 beta 2)))) 2)))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 2 beta))) (/.f64 1 (+.f64 beta 3)))
(/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (-.f64 2 beta) (+.f64 beta 2))))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 1 (-.f64 2 beta)))
(/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (-.f64 2 beta) (+.f64 beta 2))))
(*.f64 (/.f64 -1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) -1)
(/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (-.f64 2 beta) (+.f64 beta 2))))
(*.f64 (pow.f64 (*.f64 (-.f64 2 beta) (+.f64 beta 3)) -1) (/.f64 1 (+.f64 beta 2)))
(/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (-.f64 2 beta) (+.f64 beta 2))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) -1) (pow.f64 (sqrt.f64 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) -1))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) -2)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta 3) (*.f64 (-.f64 2 beta) (+.f64 beta 2)))) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) -1))
(/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (-.f64 2 beta) (+.f64 beta 2))))
(*.f64 (pow.f64 (*.f64 (+.f64 beta 2) (-.f64 2 beta)) -1) (pow.f64 (+.f64 beta 3) -1))
(/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 beta 2))))
(/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (-.f64 2 beta) (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (-.f64 2 beta)) (fma.f64 beta beta -4)) (+.f64 beta -2))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 (-.f64 2 beta) (fma.f64 beta beta -4))) (+.f64 beta -2))
(*.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (-.f64 2 beta)) (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))
(*.f64 (/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 (pow.f64 beta 3) 8)))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (-.f64 2 beta) (+.f64 (pow.f64 beta 3) 8)))) (fma.f64 beta beta (+.f64 4 (*.f64 beta -2))))
(*.f64 (/.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 2 beta))) (fma.f64 beta beta -9)) (+.f64 beta -3))
(*.f64 (+.f64 beta -3) (/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 (-.f64 2 beta) (fma.f64 beta beta -9)))))
(*.f64 (+.f64 beta -3) (/.f64 (/.f64 1 (fma.f64 beta beta -9)) (*.f64 (-.f64 2 beta) (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 2 beta))) (+.f64 27 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))))
(*.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))) (/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 (-.f64 2 beta) (+.f64 (pow.f64 beta 3) 27)))))
(*.f64 (fma.f64 beta beta (+.f64 9 (*.f64 beta -3))) (/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 (pow.f64 beta 3) 27) (+.f64 beta 2)))))
(*.f64 (/.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (-.f64 4 (*.f64 beta beta))) (+.f64 beta 2))
(*.f64 (+.f64 beta 2) (/.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (-.f64 4 (*.f64 beta beta))))
(/.f64 1 (*.f64 (+.f64 beta 3) (-.f64 4 (*.f64 beta beta))))
(*.f64 (/.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (-.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta 2))))
(/.f64 (+.f64 (*.f64 beta 1) (/.f64 4 (+.f64 beta 2))) (*.f64 (+.f64 beta 3) (-.f64 8 (pow.f64 beta 3))))
(*.f64 (/.f64 1 (*.f64 (*.f64 (-.f64 2 beta) (+.f64 beta 3)) (fma.f64 beta beta -4))) (+.f64 beta -2))
(*.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (-.f64 2 beta)) (fma.f64 beta beta -4)) (+.f64 beta -2))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 (-.f64 2 beta) (fma.f64 beta beta -4))) (+.f64 beta -2))
(*.f64 (/.f64 1 (*.f64 (*.f64 (-.f64 2 beta) (+.f64 beta 3)) (+.f64 8 (pow.f64 beta 3)))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))
(*.f64 (/.f64 1 (*.f64 (-.f64 2 beta) (*.f64 (+.f64 beta 3) (+.f64 (pow.f64 beta 3) 8)))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (-.f64 2 beta) (+.f64 (pow.f64 beta 3) 8)))) (fma.f64 beta beta (+.f64 4 (*.f64 beta -2))))
(*.f64 (/.f64 1 (*.f64 (*.f64 (+.f64 beta 2) (-.f64 2 beta)) (fma.f64 beta beta -9))) (+.f64 beta -3))
(*.f64 (+.f64 beta -3) (/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 (-.f64 2 beta) (fma.f64 beta beta -9)))))
(*.f64 (+.f64 beta -3) (/.f64 (/.f64 1 (fma.f64 beta beta -9)) (*.f64 (-.f64 2 beta) (+.f64 beta 2))))
(*.f64 (/.f64 1 (*.f64 (*.f64 (+.f64 beta 2) (-.f64 2 beta)) (+.f64 27 (pow.f64 beta 3)))) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))))
(*.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))) (/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 (-.f64 2 beta) (+.f64 (pow.f64 beta 3) 27)))))
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(/.f64 (*.f64 (-.f64 2 beta) (fma.f64 beta beta -9)) (*.f64 (cbrt.f64 (+.f64 beta -3)) (*.f64 (cbrt.f64 (+.f64 beta -3)) (cbrt.f64 (+.f64 beta -3)))))
(/.f64 (/.f64 (*.f64 (+.f64 27 (pow.f64 beta 3)) (-.f64 2 beta)) 1) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))))
(/.f64 (+.f64 (pow.f64 beta 3) 27) (/.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))) (-.f64 2 beta)))
(/.f64 (*.f64 (-.f64 2 beta) (+.f64 (pow.f64 beta 3) 27)) (fma.f64 beta beta (+.f64 9 (*.f64 beta -3))))
(/.f64 (/.f64 (*.f64 (+.f64 27 (pow.f64 beta 3)) (-.f64 2 beta)) (sqrt.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))))) (sqrt.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(/.f64 (*.f64 (-.f64 2 beta) (+.f64 (pow.f64 beta 3) 27)) (*.f64 (sqrt.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))) (sqrt.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))))))
(/.f64 (*.f64 (-.f64 2 beta) (+.f64 (pow.f64 beta 3) 27)) (*.f64 (sqrt.f64 (fma.f64 beta beta (+.f64 9 (*.f64 beta -3)))) (sqrt.f64 (fma.f64 beta beta (+.f64 9 (*.f64 beta -3))))))
(/.f64 (/.f64 (*.f64 (+.f64 27 (pow.f64 beta 3)) (-.f64 2 beta)) (*.f64 (cbrt.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))) (cbrt.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))) (cbrt.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(/.f64 (*.f64 (/.f64 (-.f64 2 beta) (cbrt.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))))) (/.f64 (+.f64 (pow.f64 beta 3) 27) (cbrt.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))) (cbrt.f64 (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(/.f64 (/.f64 (/.f64 (*.f64 (-.f64 2 beta) (+.f64 (pow.f64 beta 3) 27)) (cbrt.f64 (fma.f64 beta beta (+.f64 9 (*.f64 beta -3))))) (cbrt.f64 (fma.f64 beta beta (+.f64 9 (*.f64 beta -3))))) (cbrt.f64 (fma.f64 beta beta (+.f64 9 (*.f64 beta -3)))))
(/.f64 (/.f64 (*.f64 (-.f64 4 (*.f64 beta beta)) (fma.f64 beta beta -9)) (+.f64 beta 2)) (+.f64 beta -3))
(*.f64 (/.f64 (fma.f64 beta beta -9) (+.f64 beta -3)) (/.f64 (-.f64 4 (*.f64 beta beta)) (+.f64 beta 2)))
(*.f64 (-.f64 4 (*.f64 beta beta)) (/.f64 (fma.f64 beta beta -9) (*.f64 (+.f64 beta 2) (+.f64 beta -3))))
(/.f64 (/.f64 (*.f64 (-.f64 4 (*.f64 beta beta)) (+.f64 27 (pow.f64 beta 3))) (+.f64 beta 2)) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) 27) (-.f64 4 (*.f64 beta beta))) (*.f64 (+.f64 beta 2) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 beta 3) 27) (-.f64 4 (*.f64 beta beta))) (fma.f64 beta beta (+.f64 9 (*.f64 beta -3)))) (+.f64 beta 2))
(/.f64 (/.f64 (*.f64 (-.f64 8 (pow.f64 beta 3)) (fma.f64 beta beta -9)) (+.f64 4 (*.f64 beta (+.f64 beta 2)))) (+.f64 beta -3))
(*.f64 (/.f64 (-.f64 8 (pow.f64 beta 3)) (+.f64 4 (*.f64 beta (+.f64 beta 2)))) (/.f64 (fma.f64 beta beta -9) (+.f64 beta -3)))
(*.f64 (fma.f64 beta beta -9) (/.f64 (/.f64 (-.f64 8 (pow.f64 beta 3)) (+.f64 beta -3)) (+.f64 4 (*.f64 beta (+.f64 beta 2)))))
(/.f64 (/.f64 (*.f64 (-.f64 8 (pow.f64 beta 3)) (+.f64 27 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta 2)))) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3))))
(*.f64 (/.f64 (-.f64 8 (pow.f64 beta 3)) (+.f64 4 (*.f64 beta (+.f64 beta 2)))) (/.f64 (+.f64 (pow.f64 beta 3) 27) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(*.f64 (-.f64 8 (pow.f64 beta 3)) (/.f64 (+.f64 (pow.f64 beta 3) 27) (*.f64 (fma.f64 beta beta (+.f64 9 (*.f64 beta -3))) (+.f64 4 (*.f64 beta (+.f64 beta 2))))))
(/.f64 (/.f64 (*.f64 (fma.f64 beta beta -9) (-.f64 4 (*.f64 beta beta))) (+.f64 beta -3)) (+.f64 beta 2))
(*.f64 (/.f64 (fma.f64 beta beta -9) (+.f64 beta -3)) (/.f64 (-.f64 4 (*.f64 beta beta)) (+.f64 beta 2)))
(*.f64 (-.f64 4 (*.f64 beta beta)) (/.f64 (fma.f64 beta beta -9) (*.f64 (+.f64 beta 2) (+.f64 beta -3))))
(/.f64 (/.f64 (*.f64 (fma.f64 beta beta -9) (-.f64 8 (pow.f64 beta 3))) (+.f64 beta -3)) (+.f64 4 (*.f64 beta (+.f64 beta 2))))
(*.f64 (/.f64 (-.f64 8 (pow.f64 beta 3)) (+.f64 4 (*.f64 beta (+.f64 beta 2)))) (/.f64 (fma.f64 beta beta -9) (+.f64 beta -3)))
(*.f64 (fma.f64 beta beta -9) (/.f64 (/.f64 (-.f64 8 (pow.f64 beta 3)) (+.f64 beta -3)) (+.f64 4 (*.f64 beta (+.f64 beta 2)))))
(/.f64 (/.f64 (*.f64 (+.f64 27 (pow.f64 beta 3)) (-.f64 4 (*.f64 beta beta))) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))) (+.f64 beta 2))
(/.f64 (*.f64 (+.f64 (pow.f64 beta 3) 27) (-.f64 4 (*.f64 beta beta))) (*.f64 (+.f64 beta 2) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 beta 3) 27) (-.f64 4 (*.f64 beta beta))) (fma.f64 beta beta (+.f64 9 (*.f64 beta -3)))) (+.f64 beta 2))
(/.f64 (/.f64 (*.f64 (+.f64 27 (pow.f64 beta 3)) (-.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))) (+.f64 4 (*.f64 beta (+.f64 beta 2))))
(*.f64 (/.f64 (-.f64 8 (pow.f64 beta 3)) (+.f64 4 (*.f64 beta (+.f64 beta 2)))) (/.f64 (+.f64 (pow.f64 beta 3) 27) (fma.f64 beta beta (-.f64 9 (*.f64 beta 3)))))
(*.f64 (-.f64 8 (pow.f64 beta 3)) (/.f64 (+.f64 (pow.f64 beta 3) 27) (*.f64 (fma.f64 beta beta (+.f64 9 (*.f64 beta -3))) (+.f64 4 (*.f64 beta (+.f64 beta 2))))))
(pow.f64 (*.f64 (-.f64 2 beta) (+.f64 beta 3)) 1)
(*.f64 (-.f64 2 beta) (+.f64 beta 3))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 2 beta) (+.f64 beta 3))) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 2 beta) (+.f64 beta 3))) 3)
(*.f64 (-.f64 2 beta) (+.f64 beta 3))
(pow.f64 (pow.f64 (*.f64 (-.f64 2 beta) (+.f64 beta 3)) 3) 1/3)
(*.f64 (-.f64 2 beta) (+.f64 beta 3))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 2 beta) (+.f64 beta 3)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 beta 3)) (-.f64 2 beta)))
(*.f64 (-.f64 2 beta) (log.f64 (exp.f64 (+.f64 beta 3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 2 beta) (+.f64 beta 3)))))
(*.f64 (-.f64 2 beta) (+.f64 beta 3))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 2 beta) (+.f64 beta 3)) 3))
(*.f64 (-.f64 2 beta) (+.f64 beta 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 2 beta) 3) (pow.f64 (+.f64 beta 3) 3)))
(*.f64 (-.f64 2 beta) (+.f64 beta 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (-.f64 2 beta) 3)))
(*.f64 (-.f64 2 beta) (+.f64 beta 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 2 beta) (+.f64 beta 3))))
(*.f64 (-.f64 2 beta) (+.f64 beta 3))
(exp.f64 (log.f64 (*.f64 (-.f64 2 beta) (+.f64 beta 3))))
(*.f64 (-.f64 2 beta) (+.f64 beta 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 2 beta) (+.f64 beta 3))) 1))
(*.f64 (-.f64 2 beta) (+.f64 beta 3))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 2 beta) (+.f64 beta 3))))
(*.f64 (-.f64 2 beta) (+.f64 beta 3))
(fma.f64 beta (-.f64 2 beta) (*.f64 (-.f64 2 beta) 3))
(*.f64 (-.f64 2 beta) (+.f64 beta 3))
(fma.f64 (-.f64 2 beta) beta (*.f64 (-.f64 2 beta) 3))
(*.f64 (-.f64 2 beta) (+.f64 beta 3))

localize22.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.04%
(/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha)))
0.12%
(/.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)

series56.0ms (0.3%)

Counts
2 → 48
Calls

12 calls:

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

rewrite107.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01480
132972
2493872
Stop Event
node limit
Counts
2 → 182
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (*.f64 (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3))) (/.f64 -1 (-.f64 -3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (/.f64 1 (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) (/.f64 -1 (-.f64 -3 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3))))) (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))) (*.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))) (/.f64 -1 (-.f64 -3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3))))) 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))) 2) (*.f64 (cbrt.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 -1 (-.f64 -3 (+.f64 alpha beta))) (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1 alpha) (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 alpha (+.f64 beta 3))) (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 1) (/.f64 (-.f64 (-.f64 alpha beta) 3) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 1) (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))) (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) 1) (/.f64 (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3))) (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (/.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) (cbrt.f64 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 (-.f64 alpha beta) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (*.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) (-.f64 (-.f64 alpha beta) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 alpha 3))) (*.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))) (+.f64 alpha 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -3 (+.f64 alpha beta))) (/.f64 (-.f64 -1 alpha) (fma.f64 alpha 2 (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 alpha (+.f64 beta 3))) (/.f64 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simplify164.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
081120104
1295819740
Stop Event
node limit
Counts
230 → 417
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 (+.f64 beta 3) 2))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (/.f64 (*.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 2))) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (/.f64 (*.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 (+.f64 beta 3) 2))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3))))) (pow.f64 (+.f64 beta 3) 2))) (*.f64 2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))))) (pow.f64 (+.f64 beta 3) 2)))) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (/.f64 (*.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 2))) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))))))
(/.f64 1/2 alpha)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (*.f64 1/4 (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (pow.f64 (+.f64 beta 3) 2))) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (*.f64 1/4 (pow.f64 (+.f64 beta 3) 2))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3))))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 1/4 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))))) (*.f64 1/4 (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))))) (*.f64 1/4 (/.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (pow.f64 alpha 2))))
(/.f64 1/2 alpha)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1/2 (*.f64 -1/4 (+.f64 (*.f64 -1 (+.f64 beta 3)) (*.f64 -2 (+.f64 beta 3)))))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(-.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 (-.f64 1/2 (*.f64 -1/4 (+.f64 (*.f64 -1 (+.f64 beta 3)) (*.f64 -2 (+.f64 beta 3))))) (pow.f64 (+.f64 beta 3) 2))) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 beta 3) 2)) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (+.f64 beta 3)) (*.f64 -2 (+.f64 beta 3))) (-.f64 1/2 (*.f64 -1/4 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))))))))))) (pow.f64 alpha 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))) (-.f64 1/2 (*.f64 -1/4 (+.f64 (*.f64 -1 (+.f64 beta 3)) (*.f64 -2 (+.f64 beta 3)))))) (pow.f64 alpha 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -2 (+.f64 beta 3)) (*.f64 -1 (+.f64 beta 3))) (pow.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 6 (+.f64 alpha (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (/.f64 1 (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 6 (+.f64 alpha (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (+.f64 (/.f64 1 (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) 2)) (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 3) (pow.f64 (+.f64 3 alpha) 3)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2))))))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 6 (+.f64 alpha (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (/.f64 alpha (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (+.f64 (/.f64 1 (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) 2)) (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 3) (pow.f64 (+.f64 3 alpha) 3)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 6 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 6 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 3) (pow.f64 (+.f64 3 alpha) 3))))))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) 2)) (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 3) (pow.f64 (+.f64 3 alpha) 3)))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 1 (*.f64 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2) (pow.f64 (+.f64 3 alpha) 2)))))))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 6 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 6 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) 2)))) (pow.f64 beta 4))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (*.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) (+.f64 3 alpha))))) (*.f64 -1 (*.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) 2))))))) (pow.f64 beta 5))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 6 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 6 (+.f64 alpha (*.f64 2 alpha))) 2)))) (pow.f64 beta 4)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (+.f64 3 (*.f64 2 alpha))) (*.f64 -1 (+.f64 3 alpha)))) (pow.f64 beta 3)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 2))))
(+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (+.f64 3 (*.f64 2 alpha))) (*.f64 -1 (+.f64 3 alpha)))) (pow.f64 beta 3)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (*.f64 -1 (+.f64 3 (*.f64 2 alpha))) (*.f64 -1 (+.f64 3 alpha))) 2))) (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))) (pow.f64 beta 4))) (/.f64 alpha (pow.f64 beta 2)))))
(+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (*.f64 -1 (+.f64 3 (*.f64 2 alpha))) (*.f64 -1 (+.f64 3 alpha)))) (pow.f64 beta 3)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (*.f64 -1 (+.f64 3 (*.f64 2 alpha))) (*.f64 -1 (+.f64 3 alpha))) 2))) (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))) (pow.f64 beta 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 3 (*.f64 2 alpha))) (*.f64 -1 (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 (*.f64 -1 (+.f64 3 (*.f64 2 alpha))) (*.f64 -1 (+.f64 3 alpha))) 2))) (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha))))) (pow.f64 beta 5))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (*.f64 (+.f64 (*.f64 -1 (+.f64 3 (*.f64 2 alpha))) (*.f64 -1 (+.f64 3 alpha))) (+.f64 3 alpha)))) (pow.f64 beta 5))))))))
(/.f64 1 (+.f64 beta 3))
(+.f64 (*.f64 alpha (-.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 2))))) (/.f64 1 (+.f64 beta 3)))
(+.f64 (*.f64 alpha (-.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 2))))) (+.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3)))))
(+.f64 (*.f64 alpha (-.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 2))))) (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 alpha 3) (-.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 2))))) (pow.f64 (+.f64 beta 3) 2))) (+.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 alpha 2) (-.f64 (/.f64 1 (+.f64 beta 3)) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 2))))) (+.f64 beta 3))))))
1/2
(-.f64 (+.f64 1/2 (*.f64 1/2 (/.f64 1 alpha))) (*.f64 1/4 (/.f64 (+.f64 beta 3) alpha)))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 beta 3) (-.f64 1/2 (*.f64 1/4 (+.f64 beta 3)))) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))) (*.f64 1/4 (/.f64 (+.f64 beta 3) alpha)))
(-.f64 (+.f64 1/2 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 beta 3) (-.f64 1/2 (*.f64 1/4 (+.f64 beta 3)))) (pow.f64 alpha 2))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (-.f64 1/2 (*.f64 1/4 (+.f64 beta 3)))) (pow.f64 alpha 3))) (*.f64 1/2 (/.f64 1 alpha))))) (*.f64 1/4 (/.f64 (+.f64 beta 3) alpha)))
1/2
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 beta 3) alpha)) (+.f64 1/2 (*.f64 1/2 (/.f64 1 alpha))))
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 beta 3) alpha)) (+.f64 1/2 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 1/2 (*.f64 -1/4 (+.f64 beta 3)))) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha)))))
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 beta 3) alpha)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 1/2 (*.f64 -1/4 (+.f64 beta 3)))) (pow.f64 alpha 3))) (+.f64 1/2 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 beta 3) (+.f64 1/2 (*.f64 -1/4 (+.f64 beta 3)))) (pow.f64 alpha 2))) (*.f64 1/2 (/.f64 1 alpha))))))
(/.f64 (+.f64 1 alpha) (+.f64 3 (*.f64 2 alpha)))
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)) (/.f64 1 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2))))) (+.f64 (/.f64 alpha (+.f64 3 (*.f64 2 alpha))) (/.f64 1 (+.f64 3 (*.f64 2 alpha)))))
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)) (/.f64 1 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2))))) (+.f64 (/.f64 alpha (+.f64 3 (*.f64 2 alpha))) (+.f64 (/.f64 1 (+.f64 3 (*.f64 2 alpha))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)) (/.f64 1 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)))) (+.f64 3 (*.f64 2 alpha))))))
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)) (/.f64 1 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 (*.f64 2 alpha)) 4)) (/.f64 1 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 4))))) (+.f64 (/.f64 alpha (+.f64 3 (*.f64 2 alpha))) (+.f64 (/.f64 1 (+.f64 3 (*.f64 2 alpha))) (/.f64 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)) (/.f64 1 (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)))) (+.f64 3 (*.f64 2 alpha)))))))
(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 (*.f64 2 alpha))) (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 (*.f64 2 alpha))) (pow.f64 beta 2))))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 (*.f64 2 alpha)) 3)) (pow.f64 beta 4))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 (*.f64 2 alpha))) (pow.f64 beta 2)))))))
(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 (*.f64 2 alpha))) (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 (*.f64 2 alpha))) (pow.f64 beta 2))))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 (*.f64 2 alpha)) 3)) (pow.f64 beta 4))) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 3 (*.f64 2 alpha)) 2)) (pow.f64 beta 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 3 (*.f64 2 alpha))) (pow.f64 beta 2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))))) 1)
(*.f64 1 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (+.f64 alpha 1) (*.f64 (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3))) (/.f64 -1 (-.f64 -3 (+.f64 alpha beta)))))
(*.f64 (+.f64 alpha 1) (/.f64 1 (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) (/.f64 -1 (-.f64 -3 (+.f64 alpha beta))))
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(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 1) (-.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha alpha))) (+.f64 beta (-.f64 3 alpha)))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 1) (-.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 9)) (+.f64 alpha (+.f64 beta -3)))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 1) (+.f64 27 (pow.f64 (+.f64 alpha beta) 3))) (-.f64 (+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) 9) (*.f64 (+.f64 alpha beta) 3)))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (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 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) (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) (fma.f64 alpha 2 (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 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 (/.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) (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)))
(pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3))))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))) 3) 1/3)
(pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha 1))) -1)
(neg.f64 (/.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) (-.f64 -3 (+.f64 alpha beta))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3))))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3))))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (*.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))))) 1)
(*.f64 1 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))))
(*.f64 (+.f64 alpha 1) (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3))))
(*.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 1)
(*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (*.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))) (sqrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (*.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))) 2) (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))))
(*.f64 (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3))) (+.f64 alpha 1))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (-.f64 -3 (+.f64 beta (*.f64 alpha 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 alpha 2 (+.f64 beta 3)))) (/.f64 (+.f64 alpha 1) (sqrt.f64 (fma.f64 alpha 2 (+.f64 beta 3)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 alpha 2 (+.f64 beta 3))) 2)) (/.f64 (+.f64 alpha 1) (cbrt.f64 (fma.f64 alpha 2 (+.f64 beta 3)))))
(*.f64 (/.f64 (+.f64 alpha 1) 1) (/.f64 (+.f64 beta (-.f64 3 (*.f64 alpha 2))) (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2))))
(*.f64 (/.f64 (+.f64 alpha 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 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2))) (*.f64 (+.f64 alpha 1) (+.f64 beta (-.f64 3 (*.f64 alpha 2)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3)))) (*.f64 (+.f64 alpha 1) (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3))))))
(*.f64 (/.f64 (+.f64 alpha 1) (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2))) (+.f64 beta (-.f64 3 (*.f64 alpha 2))))
(*.f64 (/.f64 (+.f64 alpha 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 (-.f64 -3 (+.f64 beta (*.f64 alpha 2)))) (-.f64 -1 alpha))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (fma.f64 alpha 2 (+.f64 beta 3))) (hypot.f64 1 (sqrt.f64 alpha)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (fma.f64 alpha 2 (+.f64 beta 3))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 (+.f64 beta 3))) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (cbrt.f64 (fma.f64 alpha 2 (+.f64 beta 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (fma.f64 alpha 2 (+.f64 beta 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (sqrt.f64 (fma.f64 alpha 2 (+.f64 beta 3)))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (sqrt.f64 (fma.f64 alpha 2 (+.f64 beta 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 (+.f64 beta 3))) 2)) (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))))
(*.f64 (/.f64 (-.f64 -1 alpha) (neg.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2)))) (+.f64 beta (-.f64 3 (*.f64 alpha 2))))
(*.f64 (/.f64 (-.f64 -1 alpha) (neg.f64 (+.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 (/.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (hypot.f64 1 (sqrt.f64 alpha)))) (hypot.f64 1 (sqrt.f64 alpha)))
(*.f64 (/.f64 1 (/.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2))) (cbrt.f64 (+.f64 alpha 1)))
(*.f64 (/.f64 (+.f64 alpha 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 alpha 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 alpha 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 alpha 1) (-.f64 (pow.f64 (*.f64 alpha 2) 2) (pow.f64 (+.f64 beta 3) 2))) (-.f64 (*.f64 alpha 2) (+.f64 beta 3)))
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 (*.f64 alpha 2)) 3))) (-.f64 (+.f64 (*.f64 beta beta) (*.f64 (+.f64 3 (*.f64 alpha 2)) (+.f64 3 (*.f64 alpha 2)))) (*.f64 beta (+.f64 3 (*.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (fma.f64 alpha 2 (+.f64 beta 3))) (cbrt.f64 (+.f64 alpha 1)))
(*.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3)))) (fma.f64 alpha alpha -1)) (+.f64 alpha 1))
(*.f64 (/.f64 (*.f64 (fma.f64 alpha alpha -1) (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3)))) (-.f64 (pow.f64 alpha 3) 1)) (+.f64 1 (+.f64 alpha (*.f64 alpha alpha))))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3)))) (-.f64 (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha)) (*.f64 (-.f64 1 alpha) (-.f64 1 alpha)))) (+.f64 (fma.f64 alpha alpha -1) alpha))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 alpha 3)) (/.f64 1 (fma.f64 alpha 2 (+.f64 beta 3)))) (+.f64 (pow.f64 (*.f64 alpha alpha) 3) (pow.f64 (-.f64 1 alpha) 3))) (-.f64 (+.f64 (*.f64 (*.f64 alpha alpha) (*.f64 alpha alpha)) (*.f64 (-.f64 1 alpha) (-.f64 1 alpha))) (*.f64 (*.f64 alpha alpha) (-.f64 1 alpha))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) 1) (/.f64 (+.f64 beta (-.f64 3 (*.f64 alpha 2))) (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) 1) (/.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3)))) (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2))) (+.f64 beta (-.f64 3 (*.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3)))) (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (neg.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2)))) (neg.f64 (+.f64 beta (-.f64 3 (*.f64 alpha 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3))))) (neg.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3))))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 3 (*.f64 alpha 2)) (+.f64 3 (*.f64 alpha 2))))) (-.f64 beta (+.f64 3 (*.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (-.f64 (pow.f64 (*.f64 alpha 2) 2) (pow.f64 (+.f64 beta 3) 2))) (-.f64 (*.f64 alpha 2) (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) 1) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 3 (*.f64 alpha 2)) 3))) (-.f64 (+.f64 (*.f64 beta beta) (*.f64 (+.f64 3 (*.f64 alpha 2)) (+.f64 3 (*.f64 alpha 2)))) (*.f64 beta (+.f64 3 (*.f64 alpha 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (fma.f64 alpha 2 (+.f64 beta 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3))))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (fma.f64 alpha 2 (+.f64 beta 3)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2)))) (sqrt.f64 (+.f64 beta (-.f64 3 (*.f64 alpha 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 (+.f64 beta 3))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 8 (pow.f64 alpha 3))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (*.f64 alpha 2) (-.f64 (*.f64 alpha 2) (+.f64 beta 3))))))
(*.f64 (/.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (fma.f64 alpha 2 (+.f64 beta 3))) 2)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (*.f64 alpha 2) 2)))) (cbrt.f64 (+.f64 beta (-.f64 3 (*.f64 alpha 2)))))
(pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 alpha 2 (+.f64 beta 3)) (+.f64 alpha 1)) -1)
(neg.f64 (/.f64 (+.f64 alpha 1) (-.f64 -3 (+.f64 beta (*.f64 alpha 2)))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha 1) 3) (pow.f64 (fma.f64 alpha 2 (+.f64 beta 3)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (fma.f64 alpha 2 (+.f64 beta 3)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (fma.f64 alpha 2 (+.f64 beta 3)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 alpha 1) (fma.f64 alpha 2 (+.f64 beta 3)))))
Outputs
(/.f64 1 (pow.f64 (+.f64 beta 3) 2))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3)))))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (/.f64 (*.f64 (+.f64 beta (+.f64 3 (*.f64 2 (+.f64 beta 3)))) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3))))))) (pow.f64 (+.f64 beta 3) 2))) (pow.f64 alpha 2))) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 beta 3) 4))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 beta 3) 3)))))))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (fma.f64 -1 (*.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 beta 3) 4)) (/.f64 (+.f64 beta (+.f64 3 (+.f64 (*.f64 2 beta) 6))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3)))))))) (*.f64 alpha alpha)) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3))))))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (fma.f64 -1 (*.f64 alpha (*.f64 alpha (+.f64 (/.f64 2 (pow.f64 (+.f64 beta 3) 4)) (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3))))) (/.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta (+.f64 (*.f64 2 beta) 9))))))) (*.f64 alpha (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 3) 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 3) 4)) (+.f64 (/.f64 3 (pow.f64 (+.f64 beta 3) 4)) (/.f64 2 (pow.f64 (+.f64 beta 3) 3))))))))
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(/.f64 1/2 alpha)
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(/.f64 1/2 alpha)
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(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 3 (*.f64 2 alpha)) (+.f64 3 alpha)))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 3 alpha)) (+.f64 3 (*.f64 2 alpha)))
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1/2
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(fma.f64 -1/4 (/.f64 (+.f64 beta 3) alpha) (+.f64 1/2 (/.f64 1/2 alpha)))
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1/2
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(/.f64 (+.f64 1 alpha) beta)
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(*.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)))

eval1.5s (7.1%)

Compiler

Compiled 60396 to 44838 computations (25.8% saved)

prune548.0ms (2.6%)

Pruning

28 alts after pruning (22 fresh and 6 done)

PrunedKeptTotal
New174081748
Fresh91423
Picked011
Done5510
Total1754281782
Error
0%
Counts
1782 → 28
Alt Table
Click to see full alt table
StatusErrorProgram
51.52%
(pow.f64 beta -2)
30.8%
(/.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 2 beta)) (+.f64 alpha (+.f64 beta 3)))
5.93%
(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 beta 2) (+.f64 alpha (*.f64 beta alpha))) 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
7.6%
(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
3.34%
(/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (-.f64 -3 (+.f64 alpha beta)) (+.f64 1 beta))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
73.35%
(/.f64 (/.f64 (+.f64 alpha (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
36.6%
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
36.93%
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 3)))
48.62%
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 1 (+.f64 beta 1)) (*.f64 beta beta))) (+.f64 alpha (+.f64 beta 3)))
1.06%
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
27.73%
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
44.43%
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
45.5%
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
67.71%
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
43.1%
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
50.54%
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
52.05%
(/.f64 (-.f64 1 (/.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
47.52%
(/.f64 (-.f64 -1 alpha) (*.f64 beta (-.f64 (-.f64 -3 beta) alpha)))
78.15%
(/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 (-.f64 alpha beta) -2))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 (-.f64 alpha beta) -2))))
7.61%
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
36.61%
(/.f64 (*.f64 (/.f64 -1 (-.f64 -3 (+.f64 beta alpha))) (-.f64 -1 alpha)) (-.f64 -3 (+.f64 beta (*.f64 2 alpha))))
71.18%
(/.f64 alpha (*.f64 beta beta))
52.26%
(/.f64 1 (+.f64 12 (*.f64 beta 4)))
30.97%
(/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 (/.f64 (-.f64 4 (*.f64 beta beta)) (+.f64 beta 2)) (+.f64 beta 3))))
51.93%
(/.f64 1 (*.f64 beta beta))
93.81%
(/.f64 2/9 beta)
55.05%
(+.f64 1/12 (*.f64 -1/36 beta))
54.45%
1/12
Compiler

Compiled 460 to 330 computations (28.3% saved)

regimes96.0ms (0.5%)

Counts
61 → 1
Calls
Call 1
Inputs
1/12
(/.f64 2/9 beta)
(/.f64 1 alpha)
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1 (+.f64 12 (*.f64 beta 4)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.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 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 alpha alpha))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (*.f64 alpha alpha)))
(/.f64 (-.f64 -1 alpha) (*.f64 beta (-.f64 (-.f64 -3 beta) alpha)))
(/.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 1/2 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 (-.f64 2 beta) (+.f64 beta 3))))
(/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (-.f64 2 beta))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 2 beta)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 1 (/.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 (/.f64 (-.f64 4 (*.f64 beta beta)) (+.f64 beta 2)) (+.f64 beta 3))))
(/.f64 (*.f64 (/.f64 -1 (-.f64 -3 (+.f64 beta alpha))) (-.f64 -1 alpha)) (-.f64 -3 (+.f64 beta (*.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 1 (+.f64 beta 1)) (*.f64 beta beta))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha (*.f64 alpha beta)) (+.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 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 1 (+.f64 beta 1)) (*.f64 (+.f64 beta 2) (+.f64 beta (+.f64 2 alpha))))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (-.f64 -3 (+.f64 alpha beta)) (+.f64 1 beta))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 (+.f64 2 alpha) (neg.f64 (*.f64 beta (+.f64 1 alpha)))))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (-.f64 (+.f64 (+.f64 beta 2) (+.f64 alpha (*.f64 beta alpha))) 1) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
(/.f64 (+.f64 1 alpha) (/.f64 (*.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 (-.f64 alpha beta) -2))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 (-.f64 alpha beta) -2))))
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (/.f64 (*.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 (-.f64 alpha beta) -2))) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 (-.f64 alpha beta) -2))))
(pow.f64 beta -2)
(/.f64 1/3 (pow.f64 (+.f64 2 alpha) 2))
(/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (+.f64 (*.f64 beta (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)))
(/.f64 (*.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))) (+.f64 (+.f64 beta 3) alpha))
(/.f64 (+.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 beta (+.f64 alpha 3))) (+.f64 (+.f64 alpha beta) 2)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 (neg.f64 (/.f64 (+.f64 alpha 2) beta))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha))) (+.f64 beta (+.f64 alpha 2))) 2)
(/.f64 (/.f64 (+.f64 alpha 1) (expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (-.f64 2 (+.f64 beta (*.f64 alpha beta)))))))) (+.f64 alpha (+.f64 beta 3)))
(-.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)
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:

32.0ms
alpha
27.0ms
beta
15.0ms
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
Results
ErrorSegmentsBranch
0.18%1alpha
0.18%1beta
0.18%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 1037 to 691 computations (33.4% saved)

regimes51.0ms (0.2%)

Counts
43 → 1
Calls
Call 1
Inputs
1/12
(/.f64 2/9 beta)
(/.f64 1 alpha)
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1 (+.f64 12 (*.f64 beta 4)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.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 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 alpha alpha))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (*.f64 alpha alpha)))
(/.f64 (-.f64 -1 alpha) (*.f64 beta (-.f64 (-.f64 -3 beta) alpha)))
(/.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 1/2 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 (-.f64 2 beta) (+.f64 beta 3))))
(/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (-.f64 2 beta))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 2 beta)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 1 (/.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 (/.f64 (-.f64 4 (*.f64 beta beta)) (+.f64 beta 2)) (+.f64 beta 3))))
(/.f64 (*.f64 (/.f64 -1 (-.f64 -3 (+.f64 beta alpha))) (-.f64 -1 alpha)) (-.f64 -3 (+.f64 beta (*.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 1 (+.f64 beta 1)) (*.f64 beta beta))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha (*.f64 alpha beta)) (+.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 (+.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 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
Calls

2 calls:

20.0ms
alpha
19.0ms
beta
Results
ErrorSegmentsBranch
1.06%1alpha
1.06%1beta
Compiler

Compiled 563 to 377 computations (33% saved)

regimes76.0ms (0.4%)

Counts
39 → 2
Calls
Call 1
Inputs
1/12
(/.f64 2/9 beta)
(/.f64 1 alpha)
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1 (+.f64 12 (*.f64 beta 4)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.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 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 alpha alpha))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (*.f64 alpha alpha)))
(/.f64 (-.f64 -1 alpha) (*.f64 beta (-.f64 (-.f64 -3 beta) alpha)))
(/.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 1/2 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 (-.f64 2 beta) (+.f64 beta 3))))
(/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (-.f64 2 beta))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 2 beta)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 1 (/.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 (/.f64 (-.f64 4 (*.f64 beta beta)) (+.f64 beta 2)) (+.f64 beta 3))))
(/.f64 (*.f64 (/.f64 -1 (-.f64 -3 (+.f64 beta alpha))) (-.f64 -1 alpha)) (-.f64 -3 (+.f64 beta (*.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 1 (+.f64 beta 1)) (*.f64 beta beta))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
Outputs
(/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
Calls

2 calls:

34.0ms
alpha
32.0ms
beta
Results
ErrorSegmentsBranch
1.63%2alpha
0.78%2beta
Compiler

Compiled 467 to 315 computations (32.5% saved)

bsearch12.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
782194.3831934506
1879825.1525200289
Results
11.0ms80×body256valid
Compiler

Compiled 262 to 193 computations (26.3% saved)

regimes76.0ms (0.4%)

Counts
38 → 2
Calls
Call 1
Inputs
1/12
(/.f64 2/9 beta)
(/.f64 1 alpha)
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1 (+.f64 12 (*.f64 beta 4)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.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 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 alpha alpha))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (*.f64 alpha alpha)))
(/.f64 (-.f64 -1 alpha) (*.f64 beta (-.f64 (-.f64 -3 beta) alpha)))
(/.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 1/2 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 (-.f64 2 beta) (+.f64 beta 3))))
(/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (-.f64 2 beta))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 2 beta)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 1 (/.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 (/.f64 (-.f64 4 (*.f64 beta beta)) (+.f64 beta 2)) (+.f64 beta 3))))
(/.f64 (*.f64 (/.f64 -1 (-.f64 -3 (+.f64 beta alpha))) (-.f64 -1 alpha)) (-.f64 -3 (+.f64 beta (*.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 1 (+.f64 beta 1)) (*.f64 beta beta))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 -1 beta) (-.f64 -3 beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
Outputs
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
Calls

2 calls:

34.0ms
alpha
32.0ms
beta
Results
ErrorSegmentsBranch
1.63%2alpha
0.78%2beta
Compiler

Compiled 446 to 300 computations (32.7% saved)

bsearch12.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
782194.3831934506
1879825.1525200289
Results
10.0ms80×body256valid
Compiler

Compiled 252 to 183 computations (27.4% saved)

regimes90.0ms (0.4%)

Counts
36 → 2
Calls
Call 1
Inputs
1/12
(/.f64 2/9 beta)
(/.f64 1 alpha)
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1 (+.f64 12 (*.f64 beta 4)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.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 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 alpha alpha))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (*.f64 alpha alpha)))
(/.f64 (-.f64 -1 alpha) (*.f64 beta (-.f64 (-.f64 -3 beta) alpha)))
(/.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 1/2 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 (-.f64 2 beta) (+.f64 beta 3))))
(/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (-.f64 2 beta))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 2 beta)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 1 (/.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 (/.f64 (-.f64 4 (*.f64 beta beta)) (+.f64 beta 2)) (+.f64 beta 3))))
(/.f64 (*.f64 (/.f64 -1 (-.f64 -3 (+.f64 beta alpha))) (-.f64 -1 alpha)) (-.f64 -3 (+.f64 beta (*.f64 2 alpha))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (/.f64 1 (+.f64 beta 1)) (*.f64 beta beta))) (+.f64 alpha (+.f64 beta 3)))
Outputs
(/.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 2 beta)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
Calls

2 calls:

48.0ms
alpha
32.0ms
beta
Results
ErrorSegmentsBranch
18.19%2alpha
1.91%2beta
Compiler

Compiled 408 to 274 computations (32.8% saved)

bsearch19.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
0.0008242533604922959
0.8903889777515247
Results
17.0ms128×body256valid
Compiler

Compiled 346 to 260 computations (24.9% saved)

regimes66.0ms (0.3%)

Counts
31 → 2
Calls
Call 1
Inputs
1/12
(/.f64 2/9 beta)
(/.f64 1 alpha)
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1 (+.f64 12 (*.f64 beta 4)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.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 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 alpha alpha))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (*.f64 alpha alpha)))
(/.f64 (-.f64 -1 alpha) (*.f64 beta (-.f64 (-.f64 -3 beta) alpha)))
(/.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 1/2 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 (-.f64 2 beta) (+.f64 beta 3))))
(/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (-.f64 2 beta))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 2 beta)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 1 (/.f64 2 beta)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
Outputs
(/.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 2 beta)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
Calls

2 calls:

30.0ms
beta
28.0ms
alpha
Results
ErrorSegmentsBranch
20.21%2alpha
2.24%2beta
Compiler

Compiled 315 to 210 computations (33.3% saved)

bsearch20.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
0.0008242533604922959
0.8903889777515247
Results
18.0ms128×body256valid
Compiler

Compiled 330 to 244 computations (26.1% saved)

regimes88.0ms (0.4%)

Counts
28 → 2
Calls
Call 1
Inputs
1/12
(/.f64 2/9 beta)
(/.f64 1 alpha)
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1 (+.f64 12 (*.f64 beta 4)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.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 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 alpha alpha))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (*.f64 alpha alpha)))
(/.f64 (-.f64 -1 alpha) (*.f64 beta (-.f64 (-.f64 -3 beta) alpha)))
(/.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 1/2 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 (-.f64 2 beta) (+.f64 beta 3))))
(/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (-.f64 2 beta))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 3)))
Outputs
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3)))
Calls

2 calls:

55.0ms
beta
25.0ms
alpha
Results
ErrorSegmentsBranch
20.6%2alpha
2.33%2beta
Compiler

Compiled 266 to 175 computations (34.2% saved)

bsearch67.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
67.0ms
0.8903889777515247
931.9178292754951
Results
65.0ms128×body256valid
Compiler

Compiled 250 to 188 computations (24.8% saved)

regimes137.0ms (0.6%)

Counts
26 → 2
Calls
Call 1
Inputs
1/12
(/.f64 2/9 beta)
(/.f64 1 alpha)
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1 (+.f64 12 (*.f64 beta 4)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.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 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 alpha alpha))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (*.f64 alpha alpha)))
(/.f64 (-.f64 -1 alpha) (*.f64 beta (-.f64 (-.f64 -3 beta) alpha)))
(/.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 1/2 (/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))
(/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 1 (*.f64 (+.f64 beta 2) (*.f64 (-.f64 2 beta) (+.f64 beta 3))))
(/.f64 1 (*.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (-.f64 2 beta))))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 4 (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
Outputs
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
Calls

2 calls:

106.0ms
beta
25.0ms
alpha
Results
ErrorSegmentsBranch
20.96%2alpha
2.82%2beta
Compiler

Compiled 236 to 155 computations (34.3% saved)

bsearch20.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
0.8903889777515247
931.9178292754951
Results
18.0ms128×body256valid
Compiler

Compiled 218 to 164 computations (24.8% saved)

regimes73.0ms (0.3%)

Counts
18 → 2
Calls
Call 1
Inputs
1/12
(/.f64 2/9 beta)
(/.f64 1 alpha)
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1 (+.f64 12 (*.f64 beta 4)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.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 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 (+.f64 (*.f64 2/9 beta) 1/3) (*.f64 alpha alpha))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (*.f64 alpha alpha)))
(/.f64 (-.f64 -1 alpha) (*.f64 beta (-.f64 (-.f64 -3 beta) alpha)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
Outputs
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
Calls

2 calls:

52.0ms
alpha
18.0ms
beta
Results
ErrorSegmentsBranch
28.47%6alpha
2.86%2beta
Compiler

Compiled 132 to 81 computations (38.6% saved)

bsearch19.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
0.8903889777515247
931.9178292754951
Results
17.0ms128×body256valid
Compiler

Compiled 186 to 140 computations (24.7% saved)

regimes287.0ms (1.4%)

Counts
11 → 2
Calls
Call 1
Inputs
1/12
(/.f64 2/9 beta)
(/.f64 1 alpha)
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1 (+.f64 12 (*.f64 beta 4)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
Outputs
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
Calls

2 calls:

272.0ms
alpha
13.0ms
beta
Results
ErrorSegmentsBranch
30.32%8alpha
5.95%2beta
Compiler

Compiled 65 to 40 computations (38.5% saved)

bsearch121.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
121.0ms
0.8903889777515247
931.9178292754951
Results
119.0ms128×body256valid
Compiler

Compiled 186 to 140 computations (24.7% saved)

regimes59.0ms (0.3%)

Counts
8 → 2
Calls
Call 1
Inputs
1/12
(/.f64 2/9 beta)
(/.f64 1 alpha)
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 1 (+.f64 12 (*.f64 beta 4)))
(/.f64 (+.f64 1 alpha) (*.f64 alpha alpha))
Outputs
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 1 (*.f64 beta beta))
Calls

2 calls:

46.0ms
alpha
10.0ms
beta
Results
ErrorSegmentsBranch
31.45%9alpha
9.3%2beta
Compiler

Compiled 44 to 29 computations (34.1% saved)

bsearch19.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
0.8903889777515247
931.9178292754951
Results
18.0ms128×body256valid
Compiler

Compiled 170 to 132 computations (22.4% saved)

regimes13.0ms (0.1%)

Counts
4 → 2
Calls
Call 1
Inputs
1/12
(/.f64 2/9 beta)
(/.f64 1 alpha)
(+.f64 1/12 (*.f64 -1/36 beta))
Outputs
(+.f64 1/12 (*.f64 -1/36 beta))
(/.f64 2/9 beta)
Calls

2 calls:

8.0ms
beta
4.0ms
alpha
Results
ErrorSegmentsBranch
54.45%1alpha
52.21%2beta
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch21.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
0.8903889777515247
931.9178292754951
Results
19.0ms128×body256valid
Compiler

Compiled 154 to 124 computations (19.5% saved)

regimes8.0ms (0%)

Accuracy

Total -27.7b remaining (-79.5%)

Threshold costs -27.7b (-79.5%)

Counts
3 → 1
Calls
Call 1
Inputs
1/12
(/.f64 2/9 beta)
(/.f64 1 alpha)
Outputs
1/12
Calls

2 calls:

4.0ms
beta
3.0ms
alpha
Results
ErrorSegmentsBranch
54.45%1alpha
54.45%1beta
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify19.0ms (0.1%)

Algorithm
egg-herbie
Rules
24×+-commutative
12×*-commutative
sub-neg
1-exp
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080833
1101833
2105833
3107833
4108833
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 1850000) (/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 1850000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 5584463537939415/9007199254740992) (/.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 2 beta)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 5584463537939415/9007199254740992) (/.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 2 beta)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3/2) (+.f64 1/12 (*.f64 -1/36 beta)) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 5/2) (+.f64 1/12 (*.f64 -1/36 beta)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3152519739159347/1125899906842624) (+.f64 1/12 (*.f64 -1/36 beta)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 3039929748475085/1125899906842624) (+.f64 1/12 (*.f64 -1/36 beta)) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(if (<=.f64 beta 3039929748475085/1125899906842624) (+.f64 1/12 (*.f64 -1/36 beta)) (/.f64 1 (*.f64 beta beta)))
(if (<=.f64 beta 5854679515581645/2251799813685248) (+.f64 1/12 (*.f64 -1/36 beta)) (/.f64 2/9 beta))
1/12
Outputs
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 1 beta)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 beta 2) (+.f64 1 beta)))) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 1850000) (/.f64 (*.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 beta 1)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 1850000) (/.f64 (*.f64 (+.f64 1 beta) (/.f64 1 (+.f64 beta 3))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 1850000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 1850000) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 5584463537939415/9007199254740992) (/.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 2 beta)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 5584463537939415/9007199254740992) (/.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 2 beta)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 5584463537939415/9007199254740992) (/.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 2 beta)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 5584463537939415/9007199254740992) (/.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 2 beta)) (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3/2) (+.f64 1/12 (*.f64 -1/36 beta)) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 3 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3/2) (+.f64 1/12 (*.f64 beta -1/36)) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 5/2) (+.f64 1/12 (*.f64 -1/36 beta)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 5/2) (+.f64 1/12 (*.f64 beta -1/36)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 3152519739159347/1125899906842624) (+.f64 1/12 (*.f64 -1/36 beta)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 3152519739159347/1125899906842624) (+.f64 1/12 (*.f64 beta -1/36)) (/.f64 (/.f64 (+.f64 alpha 1) beta) beta))
(if (<=.f64 beta 3039929748475085/1125899906842624) (+.f64 1/12 (*.f64 -1/36 beta)) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(if (<=.f64 beta 3039929748475085/1125899906842624) (+.f64 1/12 (*.f64 beta -1/36)) (/.f64 (+.f64 alpha 1) (*.f64 beta beta)))
(if (<=.f64 beta 3039929748475085/1125899906842624) (+.f64 1/12 (*.f64 -1/36 beta)) (/.f64 1 (*.f64 beta beta)))
(if (<=.f64 beta 3039929748475085/1125899906842624) (+.f64 1/12 (*.f64 beta -1/36)) (/.f64 1 (*.f64 beta beta)))
(if (<=.f64 beta 5854679515581645/2251799813685248) (+.f64 1/12 (*.f64 -1/36 beta)) (/.f64 2/9 beta))
(if (<=.f64 beta 5854679515581645/2251799813685248) (+.f64 1/12 (*.f64 beta -1/36)) (/.f64 2/9 beta))
1/12
Compiler

Compiled 329 to 240 computations (27.1% saved)

soundness776.0ms (3.7%)

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

Useful iterations: 3 (0.0ms)

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

Compiled 37 to 24 computations (35.1% saved)

end151.0ms (0.7%)

Compiler

Compiled 359 to 253 computations (29.5% saved)

Profiling

Loading profile data...