Details

Time bar (total: 18.8s)

analyze114.0ms (0.6%)

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

Compiled 44 to 29 computations (34.1% saved)

sample1.6s (8.7%)

Results
1.6s8256×body256valid
Bogosity

preprocess391.0ms (2.1%)

Algorithm
2×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
1×unsound
1×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 (3.6%)

Algorithm
1×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
1×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)

prune36.0ms (0.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New549
Fresh101
Picked000
Done000
Total6410
Error
0.0b
Counts
10 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
▶2.9b
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
▶0.1b
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
▶2.9b
(/.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))))
▶6.6b
(/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
Compiler

Compiled 111 to 74 computations (33.3% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))
✓0.0b
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓0.0b
(*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
✓6.5b
(/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
Compiler

Compiled 95 to 58 computations (38.9% saved)

series18.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite262.0ms (1.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
018140
1429140
26687140
Stop Event
1×node limit
Counts
4 → 178
Calls
Call 1
Inputs
(/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
(+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (*.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (*.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (/.f64 1 (*.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (*.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (+.f64 3 (+.f64 beta alpha)))) (+.f64 2 (+.f64 beta alpha))) (/.f64 (sqrt.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (+.f64 3 (+.f64 beta alpha)))) (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) (*.f64 (sqrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) (/.f64 1 (*.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (*.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (*.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (*.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))) 2) (cbrt.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (*.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) 2) (*.f64 (cbrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) (/.f64 1 (*.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (+.f64 3 (+.f64 beta alpha))) (/.f64 1 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))) (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) (/.f64 1 (*.f64 (+.f64 3 (+.f64 beta alpha)) (neg.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 3 (+.f64 beta alpha))) (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)) (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (+.f64 3 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 2 (+.f64 beta alpha)) (sqrt.f64 (+.f64 3 (+.f64 beta alpha))))) (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (*.f64 (+.f64 2 (+.f64 beta alpha)) (sqrt.f64 (+.f64 3 (+.f64 beta alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 (+.f64 3 (+.f64 beta alpha)) 2) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 4)))) (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (cbrt.f64 (*.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) 1) (/.f64 (sqrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) (*.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) (+.f64 3 (+.f64 beta alpha))) (/.f64 (sqrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) 2) 1) (/.f64 (cbrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) (*.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)) (/.f64 (sqrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) (+.f64 3 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) (cbrt.f64 (*.f64 (pow.f64 (+.f64 3 (+.f64 beta alpha)) 2) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 4)))) (/.f64 (sqrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) (cbrt.f64 (*.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) (*.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (sqrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) (+.f64 2 (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) 2) (+.f64 3 (+.f64 beta alpha))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 beta beta) (-.f64 (-.f64 beta alpha) (fma.f64 alpha beta 1))) (/.f64 (pow.f64 (+.f64 alpha (fma.f64 alpha beta 1)) 2) (-.f64 (-.f64 beta alpha) (fma.f64 alpha beta 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) (sqrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 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alpha))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 beta (+.f64 alpha (fma.f64 alpha beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 alpha (fma.f64 alpha beta 1)) beta)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 alpha (fma.f64 alpha beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))) (sqrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))) beta)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 alpha (fma.f64 alpha beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))) 2) (cbrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))) beta)))))

simplify499.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
1266×associate-*r*
1126×associate-*l*
1030×+-commutative
866×*-commutative
714×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
075620628
1257018938
Stop Event
1×node limit
Counts
274 → 418
Calls
Call 1
Inputs
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))))
(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 3)) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (pow.f64 beta 3)))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
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(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))))))) (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) (pow.f64 alpha 2)))
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(*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))
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(pow.f64 alpha 3)
(+.f64 (pow.f64 alpha 3) (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (pow.f64 alpha 2)))
(+.f64 (pow.f64 alpha 3) (+.f64 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (pow.f64 alpha 2)) (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))) alpha)))
(+.f64 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 alpha 3) (+.f64 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (pow.f64 alpha 2)) (*.f64 (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))) alpha))))
(pow.f64 alpha 3)
(+.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (pow.f64 alpha 2)) (pow.f64 alpha 3))
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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))))))
(+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 (pow.f64 beta 3) (+.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 beta 2) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))))))
(pow.f64 beta 3)
(+.f64 (pow.f64 beta 3) (*.f64 (pow.f64 beta 2) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))))
(+.f64 (pow.f64 beta 3) (+.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 beta 2) (+.f64 7 (+.f64 alpha (*.f64 2 alpha))))))
(+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 (pow.f64 beta 3) (+.f64 (*.f64 beta (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 beta 2) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))))))
(pow.f64 beta 3)
(+.f64 (pow.f64 beta 3) (*.f64 (pow.f64 beta 2) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))))
(+.f64 (pow.f64 beta 3) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2)))))))
(+.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)) (+.f64 (pow.f64 beta 3) (+.f64 (*.f64 (pow.f64 beta 2) (+.f64 3 (+.f64 (*.f64 2 (+.f64 2 alpha)) alpha))) (*.f64 -1 (*.f64 beta (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 -1 (pow.f64 (+.f64 2 alpha) 2))))))))
(pow.f64 (+.f64 beta 2) 2)
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(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))))
(+.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (*.f64 alpha (+.f64 beta 2)) (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(+.f64 (*.f64 alpha alpha) (+.f64 (*.f64 alpha (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))))
(+.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))))
(+.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha (+.f64 2 (+.f64 beta alpha))))
(+.f64 (*.f64 alpha (+.f64 beta 2)) (+.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))))
(+.f64 (*.f64 alpha (+.f64 beta 2)) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(+.f64 (*.f64 alpha (+.f64 beta alpha)) (+.f64 (*.f64 alpha 2) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))))
(+.f64 (*.f64 (+.f64 beta 2) (+.f64 beta alpha)) (+.f64 (*.f64 (+.f64 beta 2) 2) (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(+.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 beta alpha)) (*.f64 (+.f64 2 (+.f64 beta alpha)) 2))
(+.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) 2) (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 beta alpha)))
(+.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) 2) (+.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) beta) (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(+.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) beta) (+.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) 2) (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(+.f64 (*.f64 (+.f64 beta alpha) alpha) (+.f64 (*.f64 2 alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))))
(+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta 2)) (+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(+.f64 (*.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) 1) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))) 1))
(+.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))) 1) (*.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) 1))
(+.f64 (*.f64 (+.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))) (*.f64 2 (+.f64 2 (+.f64 beta alpha))))
(+.f64 (*.f64 2 (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 beta alpha) (+.f64 2 (+.f64 beta alpha))))
(+.f64 (*.f64 2 (+.f64 2 (+.f64 beta alpha))) (+.f64 (*.f64 beta (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(+.f64 (*.f64 beta (+.f64 2 (+.f64 beta alpha))) (+.f64 (*.f64 2 (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))))
(+.f64 (+.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))) (*.f64 alpha (+.f64 beta 2)))
(+.f64 (+.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (+.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 beta 2) (+.f64 beta alpha))) (*.f64 (+.f64 beta 2) 2))
(+.f64 (+.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 2 (+.f64 beta alpha)) 2)) (*.f64 (+.f64 2 (+.f64 beta alpha)) beta))
(+.f64 (+.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 2 (+.f64 beta alpha)) beta)) (*.f64 (+.f64 2 (+.f64 beta alpha)) 2))
(+.f64 (+.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 beta alpha) (+.f64 beta 2))) (*.f64 2 (+.f64 beta 2)))
(+.f64 (+.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) (*.f64 2 (+.f64 2 (+.f64 beta alpha)))) (*.f64 beta (+.f64 2 (+.f64 beta alpha))))
(+.f64 (+.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) (*.f64 beta (+.f64 2 (+.f64 beta alpha)))) (*.f64 2 (+.f64 2 (+.f64 beta alpha))))
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha (+.f64 beta 2))) (*.f64 alpha alpha))
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha (+.f64 beta alpha))) (*.f64 alpha 2))
(+.f64 (+.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 beta alpha) alpha)) (*.f64 2 alpha))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))) 1)
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (-.f64 alpha beta) 2) (-.f64 (-.f64 alpha beta) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (-.f64 alpha beta) 2))
(/.f64 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 2 (+.f64 beta alpha))) (-.f64 (-.f64 alpha beta) 2))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 2 (+.f64 beta alpha))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(/.f64 (-.f64 (*.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))) (*.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))))) (-.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))))
(/.f64 (+.f64 (pow.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))) 3)) (+.f64 (*.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) (*.f64 alpha (+.f64 2 (+.f64 beta alpha)))) (-.f64 (*.f64 (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))) (*.f64 (*.f64 alpha (+.f64 2 (+.f64 beta alpha))) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha)))))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (-.f64 (-.f64 alpha beta) 2) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (-.f64 (-.f64 alpha beta) 2)))
(pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)
(pow.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 beta alpha))) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))
(exp.f64 (*.f64 2 (log.f64 (+.f64 2 (+.f64 beta alpha)))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 (+.f64 beta alpha))) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 2 (+.f64 beta alpha)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 2 (+.f64 beta alpha)) 2)))
(fma.f64 alpha (+.f64 2 (+.f64 beta alpha)) (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))))
(fma.f64 (+.f64 2 (+.f64 beta alpha)) alpha (*.f64 (+.f64 beta 2) (+.f64 2 (+.f64 beta alpha))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)))) 1)
(-.f64 (/.f64 (*.f64 beta beta) (-.f64 (-.f64 beta alpha) (fma.f64 alpha beta 1))) (/.f64 (pow.f64 (+.f64 alpha (fma.f64 alpha beta 1)) 2) (-.f64 (-.f64 beta alpha) (fma.f64 alpha beta 1))))
(*.f64 1 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)))
(*.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) 1)
(*.f64 (sqrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) (sqrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))))
(*.f64 (cbrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) 2) (cbrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))))
(*.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha (fma.f64 alpha beta 1)) 2)) (/.f64 1 (-.f64 (-.f64 beta alpha) (fma.f64 alpha beta 1))))
(*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha (fma.f64 alpha beta 1)) 3)) (/.f64 1 (fma.f64 beta beta (*.f64 (+.f64 alpha (fma.f64 alpha beta 1)) (-.f64 (+.f64 alpha (fma.f64 alpha beta 1)) beta)))))
(/.f64 1 (/.f64 (-.f64 (-.f64 beta alpha) (fma.f64 alpha beta 1)) (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha (fma.f64 alpha beta 1)) 2))))
(/.f64 1 (/.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha (fma.f64 alpha beta 1)) (-.f64 (+.f64 alpha (fma.f64 alpha beta 1)) beta))) (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha (fma.f64 alpha beta 1)) 3))))
(/.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha (fma.f64 alpha beta 1)) 2)) (-.f64 (-.f64 beta alpha) (fma.f64 alpha beta 1)))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha (fma.f64 alpha beta 1)) 3)) (fma.f64 beta beta (*.f64 (+.f64 alpha (fma.f64 alpha beta 1)) (-.f64 (+.f64 alpha (fma.f64 alpha beta 1)) beta))))
(/.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha (fma.f64 alpha beta 1)) 3)) (+.f64 (pow.f64 (+.f64 alpha (fma.f64 alpha beta 1)) 2) (-.f64 (*.f64 beta beta) (*.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))))))
(/.f64 (neg.f64 (-.f64 (*.f64 beta beta) (pow.f64 (+.f64 alpha (fma.f64 alpha beta 1)) 2))) (neg.f64 (-.f64 (-.f64 beta alpha) (fma.f64 alpha beta 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 beta 3) (pow.f64 (+.f64 alpha (fma.f64 alpha beta 1)) 3))) (neg.f64 (fma.f64 beta beta (*.f64 (+.f64 alpha (fma.f64 alpha beta 1)) (-.f64 (+.f64 alpha (fma.f64 alpha beta 1)) beta)))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha (fma.f64 alpha beta 1)) 2) (*.f64 beta beta)) (-.f64 (+.f64 alpha (fma.f64 alpha beta 1)) beta))
(/.f64 (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (pow.f64 (fma.f64 alpha beta 1) 2)) (-.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 alpha beta 1) 3) (pow.f64 (+.f64 beta alpha) 3)) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (-.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (*.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1)))))
(pow.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) 1)
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) 2)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) 3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) 2))
(log.f64 (exp.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)) 3))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))))
(exp.f64 (log.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))) 1))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))))
(fma.f64 1 beta (+.f64 alpha (fma.f64 alpha beta 1)))
(fma.f64 1 (+.f64 alpha (fma.f64 alpha beta 1)) beta)
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 alpha (fma.f64 alpha beta 1)))
(fma.f64 (sqrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))) (sqrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))) beta)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 alpha (fma.f64 alpha beta 1)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))) 2) (cbrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))) beta)
Outputs
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))
(/.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2))))) (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 2 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3))))
(+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))) (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 7 (+.f64 alpha (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2))))) (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2))))) (fma.f64 -1 (*.f64 (*.f64 beta beta) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2))))) (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2))))) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2)))) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 7 (*.f64 3 alpha)) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)))))
(fma.f64 beta (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 2 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))))) (fma.f64 -1 (*.f64 beta (*.f64 beta (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (-.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2))) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 2 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3))))))) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 2 (*.f64 (+.f64 alpha 2) (+.f64 alpha 3)))) (+.f64 alpha 3))) (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 (+.f64 7 (*.f64 alpha 3)) (pow.f64 (+.f64 alpha 3) 2)))))) (+.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (/.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)))))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 beta) 1) (pow.f64 alpha 2)))
(neg.f64 (/.f64 (fma.f64 -1 beta -1) (*.f64 alpha alpha)))
(/.f64 (/.f64 (*.f64 1 (+.f64 1 beta)) alpha) alpha)
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(fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 beta -1) (*.f64 (+.f64 (*.f64 2 beta) (+.f64 beta 7)) (fma.f64 -1 beta -1))) (pow.f64 alpha 3)) (/.f64 (/.f64 (*.f64 1 (+.f64 1 beta)) alpha) alpha))
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(pow.f64 alpha 2)
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(fma.f64 1 (+.f64 alpha (fma.f64 alpha beta 1)) beta)
(fma.f64 (sqrt.f64 beta) (sqrt.f64 beta) (+.f64 alpha (fma.f64 alpha beta 1)))
(fma.f64 (sqrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))) (sqrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))) beta)
(fma.f64 (pow.f64 (cbrt.f64 beta) 2) (cbrt.f64 beta) (+.f64 alpha (fma.f64 alpha beta 1)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))) 2) (cbrt.f64 (+.f64 alpha (fma.f64 alpha beta 1))) beta)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (+.f64 beta 1) (+.f64 alpha 1))
0.0b
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
✓1.1b
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
✓2.4b
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))
Compiler

Compiled 85 to 53 computations (37.6% saved)

series16.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite124.0ms (0.7%)

Algorithm
1×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
1×node limit
Counts
3 → 160
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3))
(/.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 alpha 1)) (+.f64 (+.f64 alpha beta) 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 beta 1) (+.f64 alpha 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (*.f64 (+.f64 1 alpha) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (/.f64 1 (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 beta 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha)) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 beta 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 beta (+.f64 1 (+.f64 alpha (*.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 beta (+.f64 alpha (*.f64 beta alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 alpha (*.f64 (+.f64 1 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 alpha (*.f64 beta (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 beta 1) (+.f64 alpha (*.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (*.f64 beta alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 alpha (+.f64 1 (*.f64 (+.f64 1 alpha) beta)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 alpha (+.f64 1 (*.f64 beta (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 alpha (+.f64 (*.f64 beta alpha) (+.f64 beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) beta))))) (#(struct:change #<rule 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egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 beta) (log1p.f64 alpha)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 beta 1) (+.f64 1 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 beta 1) alpha (+.f64 beta 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 alpha (+.f64 beta 1) (+.f64 beta 1))))))

simplify459.0ms (2.4%)

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

localize59.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 97 to 65 computations (33% saved)

series17.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite115.0ms (0.6%)

Algorithm
1×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
1×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 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))))
(*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))
(/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (*.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (/.f64 1 (*.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)) (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (/.f64 1 (+.f64 3 (+.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))) (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) (*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 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(#(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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simplify175.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
096125429
1344225237
Stop Event
1×node limit
Counts
265 → 510
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 beta (+.f64 7 (*.f64 2 beta))) (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta)))))))) (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))))) (pow.f64 alpha 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4))))))
(+.f64 (/.f64 (*.f64 (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)) (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))))) (pow.f64 alpha 5)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 5))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3))))) (+.f64 beta (+.f64 (*.f64 2 (+.f64 beta 2)) 3)))) (*.f64 -1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (*.f64 -1 (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4)))))))))
(/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
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(/.f64 (+.f64 1 alpha) (pow.f64 beta 2))
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(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
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(/.f64 (+.f64 beta 1) alpha)
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(/.f64 (+.f64 beta 1) alpha)
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(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))
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(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 6)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))))))))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 4 (*.f64 2 alpha)) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 3)))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (*.f64 2 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3)))))))) (*.f64 2 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 2 alpha) (+.f64 (*.f64 -2 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))))))))) (*.f64 2 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))
(/.f64 (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 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta))))) 1)
(*.f64 1 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta))))
(*.f64 (+.f64 alpha 1) (*.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (+.f64 alpha 1) (/.f64 1 (*.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)) (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (/.f64 1 (+.f64 3 (+.f64 alpha beta))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta))) 1)
(*.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))) (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) (*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))) 2) (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))) 2) (*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))) (/.f64 1 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (+.f64 3 (+.f64 alpha beta))) (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)))
(*.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (/.f64 1 (-.f64 -3 (+.f64 alpha beta))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))) (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2)) (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (cbrt.f64 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (/.f64 (+.f64 alpha 1) 1) (/.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (+.f64 3 (+.f64 alpha beta))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (-.f64 (+.f64 beta 3) alpha))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 3 (+.f64 alpha beta))) (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 1)) 2) (+.f64 3 (+.f64 alpha beta))) (/.f64 (cbrt.f64 (+.f64 alpha 1)) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))))
(*.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))) (/.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2)) (/.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta)) (cbrt.f64 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) 1) (/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) (+.f64 3 (+.f64 alpha beta))))
(*.f64 (/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2)) (/.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta)))) (cbrt.f64 (+.f64 3 (+.f64 alpha beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))) (+.f64 3 (+.f64 alpha beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))) 2) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))) (/.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 alpha 1) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (+.f64 1 beta))) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))))
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(pow.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) (-.f64 -3 (+.f64 alpha beta))) 1)
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(*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 1 beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) 1) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (+.f64 1 beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (cbrt.f64 (+.f64 1 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) (+.f64 1 beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) (hypot.f64 1 (sqrt.f64 beta))) (/.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))) -1)
(neg.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 -1 beta)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3) (pow.f64 (+.f64 1 beta) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(exp.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta)))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
Outputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 alpha (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))))))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) alpha (neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (/.f64 (*.f64 (+.f64 beta 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 (/.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 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) alpha (neg.f64 (*.f64 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 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (/.f64 (*.f64 (+.f64 beta 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 (*.f64 -1 (*.f64 (pow.f64 alpha 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))))))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2)))))))
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (fma.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (/.f64 (*.f64 (+.f64 beta 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 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 beta 3)) (/.f64 (+.f64 (+.f64 beta 7) (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))))) (+.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) alpha (neg.f64 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (/.f64 (*.f64 (+.f64 beta 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)))))))))
(fma.f64 -1 (*.f64 (pow.f64 alpha 3) (fma.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (/.f64 (*.f64 (+.f64 beta 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 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (+.f64 beta 3)) (/.f64 (+.f64 (*.f64 beta 2) (+.f64 beta 7)) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4))))))) (+.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.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 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) alpha (neg.f64 (*.f64 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 beta 1) (/.f64 (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))))) (/.f64 (*.f64 (+.f64 beta 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 (+.f64 beta 1) (pow.f64 alpha 2))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta (*.f64 alpha alpha))) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3)))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 (+.f64 beta 7) (*.f64 beta 2)))))
(+.f64 (/.f64 beta (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 1) (/.f64 (pow.f64 alpha 3) (+.f64 (*.f64 beta 2) (+.f64 beta 7))))))
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta))))) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (pow.f64 alpha 3)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (pow.f64 alpha 3)))
(-.f64 (+.f64 (+.f64 (/.f64 beta (pow.f64 alpha 3)) (/.f64 beta (*.f64 alpha alpha))) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 beta (-.f64 1 (*.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 7) (*.f64 beta 2))))) (+.f64 (+.f64 beta 7) (*.f64 beta 2)) (*.f64 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3))))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 (+.f64 beta 7) (*.f64 beta 2)))))
(+.f64 (/.f64 beta (pow.f64 alpha 3)) (+.f64 (fma.f64 -1 (/.f64 (fma.f64 (+.f64 beta (-.f64 1 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 beta 2) (+.f64 beta 7))))) (+.f64 (*.f64 beta 2) (+.f64 beta 7)) (*.f64 (+.f64 beta 1) (fma.f64 (+.f64 beta 3) (+.f64 4 (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 4)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 (pow.f64 alpha 3)))) (-.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 alpha 3) (+.f64 (*.f64 beta 2) (+.f64 beta 7)))))))
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(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
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(/.f64 (+.f64 beta 1) alpha)
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(/.f64 (+.f64 beta 1) alpha)
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(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 2 alpha) (+.f64 (*.f64 -2 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 -1 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 2 alpha)) (pow.f64 beta 3))) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))))))))) (*.f64 2 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (pow.f64 beta 2))))
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 alpha) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 1 (-.f64 alpha (*.f64 (*.f64 2 (+.f64 1 alpha)) (+.f64 2 alpha))))) (*.f64 (neg.f64 (+.f64 1 alpha)) (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (-.f64 alpha (*.f64 (*.f64 2 (+.f64 1 alpha)) (+.f64 2 alpha)))))) (pow.f64 beta 4)) (+.f64 (/.f64 1 beta) (+.f64 (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha beta)) (fma.f64 -2 (/.f64 (+.f64 1 (-.f64 alpha (*.f64 (*.f64 2 (+.f64 1 alpha)) (+.f64 2 alpha)))) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (*.f64 (neg.f64 (+.f64 1 alpha)) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 3))))))) (*.f64 -2 (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 beta beta) (+.f64 2 alpha)))))
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (+.f64 2 alpha) (fma.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 1 (+.f64 alpha (*.f64 (*.f64 -2 (+.f64 2 alpha)) (+.f64 1 alpha))))) (*.f64 (+.f64 1 alpha) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 1 (+.f64 alpha (*.f64 (*.f64 -2 (+.f64 2 alpha)) (+.f64 1 alpha)))))) (pow.f64 beta 4)) (+.f64 (/.f64 1 beta) (+.f64 (fma.f64 -2 (/.f64 (+.f64 1 (+.f64 alpha (*.f64 (*.f64 -2 (+.f64 2 alpha)) (+.f64 1 alpha)))) (/.f64 (pow.f64 beta 3) (+.f64 2 alpha))) (+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (*.f64 (+.f64 1 alpha) (neg.f64 (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 3)))) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 alpha beta))))) (*.f64 -2 (/.f64 (+.f64 1 alpha) (/.f64 (*.f64 beta beta) (+.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 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1))))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1))))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1))))
(/.f64 (pow.f64 alpha 2) (+.f64 beta 1))
(/.f64 (*.f64 alpha alpha) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha))
(+.f64 (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1))))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1))))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 (+.f64 (*.f64 2 (/.f64 beta (+.f64 beta 1))) (*.f64 4 (/.f64 1 (+.f64 beta 1)))) alpha)))
(+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1))))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (*.f64 alpha (fma.f64 2 (/.f64 beta (+.f64 beta 1)) (/.f64 4 (+.f64 beta 1)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 1))))
(/.f64 (pow.f64 alpha 2) (+.f64 beta 1))
(/.f64 (*.f64 alpha alpha) (+.f64 beta 1))
(+.f64 (/.f64 (pow.f64 alpha 2) (+.f64 beta 1)) (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) alpha) (+.f64 beta 1))))
(+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)) (*.f64 2 (/.f64 (+.f64 beta 2) (/.f64 (+.f64 beta 1) alpha))))
(+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)) (/.f64 (*.f64 (*.f64 2 alpha) (+.f64 beta 2)) (+.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 beta 2) (/.f64 (+.f64 beta 1) alpha)))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)) (/.f64 (*.f64 (*.f64 2 alpha) (+.f64 beta 2)) (+.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 beta 2) (/.f64 (+.f64 beta 1) alpha)))))
(+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 beta 1)) (+.f64 (/.f64 (*.f64 alpha alpha) (+.f64 beta 1)) (/.f64 (*.f64 (*.f64 2 alpha) (+.f64 beta 2)) (+.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 (*.f64 2 alpha) (-.f64 4 (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 (+.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 (*.f64 2 alpha) (-.f64 4 (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 (+.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 (*.f64 2 alpha) (-.f64 4 (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 beta (-.f64 (+.f64 3 (fma.f64 2 (/.f64 alpha (*.f64 beta beta)) (fma.f64 2 alpha (+.f64 (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta) (/.f64 3 (*.f64 beta beta)))))) (fma.f64 2 (/.f64 alpha beta) (+.f64 (/.f64 3 beta) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta))))))
(+.f64 beta (+.f64 3 (-.f64 (fma.f64 2 (/.f64 alpha (*.f64 beta beta)) (+.f64 (fma.f64 2 alpha (/.f64 (pow.f64 (+.f64 2 alpha) 2) beta)) (/.f64 3 (*.f64 beta beta)))) (+.f64 (fma.f64 2 (/.f64 alpha beta) (/.f64 3 beta)) (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta))))))
beta
(-.f64 (+.f64 beta (*.f64 2 (+.f64 2 alpha))) 1)
(+.f64 (+.f64 beta 3) (*.f64 2 alpha))
(-.f64 (+.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 (*.f64 1 (-.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 (*.f64 2 alpha)))) beta) (-.f64 (-.f64 (+.f64 beta (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta beta)) (+.f64 4 (*.f64 2 alpha)))) 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 2 (*.f64 beta (neg.f64 (+.f64 1 alpha)))))
(+.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 1 beta) (/.f64 alpha beta)))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) 1)))
(+.f64 (+.f64 (/.f64 1 beta) (/.f64 alpha beta)) (fma.f64 -1 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) 1))
(+.f64 (fma.f64 -1 (/.f64 (+.f64 1 alpha) (*.f64 beta beta)) 1) (+.f64 (/.f64 1 beta) (/.f64 alpha beta)))
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(pow.f64 (*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 alpha)) (+.f64 (+.f64 2 alpha) beta)) (hypot.f64 1 (sqrt.f64 beta))) 2)
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(/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1))
(/.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (hypot.f64 1 (sqrt.f64 beta))) (hypot.f64 1 (sqrt.f64 beta)))
(/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (*.f64 (hypot.f64 1 (sqrt.f64 beta)) (hypot.f64 1 (sqrt.f64 beta))))
(/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (*.f64 (hypot.f64 1 (sqrt.f64 beta)) (hypot.f64 1 (sqrt.f64 beta))))
(/.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (cbrt.f64 (+.f64 1 beta)))
(/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (*.f64 (cbrt.f64 (+.f64 beta 1)) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)))
(/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (*.f64 (cbrt.f64 (+.f64 beta 1)) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)))
(/.f64 (neg.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (-.f64 -1 beta))
(/.f64 (neg.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2)) (-.f64 -1 beta))
(/.f64 (neg.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2)) (-.f64 -1 beta))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) 1) (*.f64 (-.f64 alpha (+.f64 beta 2)) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)) (-.f64 (-.f64 alpha beta) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) 1) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (*.f64 (/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 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 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 -2 (+.f64 alpha beta))) (*.f64 (-.f64 alpha (+.f64 beta 2)) (-.f64 -1 beta)))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)) (-.f64 (-.f64 alpha beta) 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (-.f64 -2 (+.f64 alpha beta))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))) (-.f64 -1 beta)))
(/.f64 (*.f64 (/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 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 -2 (+.f64 alpha beta)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 -1 beta) (-.f64 alpha (+.f64 beta 2))))
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)) (-.f64 (-.f64 alpha beta) 2)))
(/.f64 (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (-.f64 -1 beta) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha)))))
(/.f64 (*.f64 (/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 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)))))
(pow.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)) 1)
(/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta 1))
(/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1))
(pow.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta))) 2)
(pow.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (hypot.f64 1 (sqrt.f64 beta))) 2)
(pow.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (hypot.f64 1 (sqrt.f64 beta))) 2)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))) 3)
(/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta 1))
(/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)) 3) 1/3)
(/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta 1))
(/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)) 2))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta 1)) 2))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1)) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))))
(/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta 1))
(/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)))))
(/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta 1))
(/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta)) 3))
(/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta 1))
(/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3) (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 3) (pow.f64 (/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 beta)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3) (pow.f64 (/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 beta)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 3) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 3) (pow.f64 (/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 beta)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3) (pow.f64 (/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 beta)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))))
(/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta 1))
(/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1))
(exp.f64 (-.f64 (log.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (log1p.f64 beta)))
(exp.f64 (-.f64 (*.f64 2 (log.f64 (+.f64 (+.f64 2 alpha) beta))) (log1p.f64 beta)))
(exp.f64 (-.f64 (*.f64 2 (log.f64 (+.f64 beta (+.f64 2 alpha)))) (log1p.f64 beta)))
(exp.f64 (*.f64 (-.f64 (log.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)) (log1p.f64 beta)) 1))
(exp.f64 (-.f64 (*.f64 2 (log.f64 (+.f64 (+.f64 2 alpha) beta))) (log1p.f64 beta)))
(exp.f64 (-.f64 (*.f64 2 (log.f64 (+.f64 beta (+.f64 2 alpha)))) (log1p.f64 beta)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (+.f64 1 beta))))
(/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 2) (+.f64 beta 1))
(/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 2) (+.f64 beta 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)))) 1)
(/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 beta))
(*.f64 1 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)))
(/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 beta))
(*.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 -1 (-.f64 -1 beta)))
(/.f64 (*.f64 -1 (+.f64 (+.f64 2 alpha) beta)) (-.f64 -1 beta))
(/.f64 (*.f64 -1 (+.f64 beta (+.f64 2 alpha))) (-.f64 -1 beta))
(*.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 1)
(/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 beta))
(*.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (*.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (/.f64 -1 (-.f64 -1 beta))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 2 alpha) beta)) (*.f64 (/.f64 -1 (-.f64 -1 beta)) (sqrt.f64 (+.f64 (+.f64 2 alpha) beta))))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(/.f64 (-.f64 (-.f64 -2 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 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) 2) (cbrt.f64 (+.f64 (+.f64 2 alpha) beta))) (/.f64 -1 (-.f64 -1 beta)))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (*.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 2))
(/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 beta))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 2) (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 beta))
(*.f64 (/.f64 -1 (-.f64 -1 beta)) (+.f64 2 (+.f64 alpha beta)))
(/.f64 (*.f64 -1 (+.f64 (+.f64 2 alpha) beta)) (-.f64 -1 beta))
(/.f64 (*.f64 -1 (+.f64 beta (+.f64 2 alpha))) (-.f64 -1 beta))
(*.f64 (-.f64 -2 (+.f64 alpha beta)) (/.f64 1 (-.f64 -1 beta)))
(/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 beta))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 beta))) (/.f64 (+.f64 2 (+.f64 alpha beta)) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (hypot.f64 1 (sqrt.f64 beta))) (/.f64 1 (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (hypot.f64 1 (sqrt.f64 beta))) (/.f64 1 (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (cbrt.f64 (+.f64 1 beta))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (/.f64 (+.f64 (+.f64 2 alpha) beta) (cbrt.f64 (+.f64 beta 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (/.f64 (+.f64 beta (+.f64 2 alpha)) (cbrt.f64 (+.f64 beta 1))))
(*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (fma.f64 beta beta -1)) (+.f64 beta -1))
(*.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (fma.f64 beta beta -1)) (+.f64 beta -1))
(*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (fma.f64 beta beta -1)) (+.f64 beta -1))
(*.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 1 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 1 beta)))
(*.f64 (/.f64 (+.f64 (+.f64 2 alpha) beta) (+.f64 1 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 1 beta)))
(*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 1 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 1 beta)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) 1) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (+.f64 1 beta)))
(*.f64 (sqrt.f64 (+.f64 (+.f64 2 alpha) beta)) (/.f64 (sqrt.f64 (+.f64 (+.f64 2 alpha) beta)) (+.f64 beta 1)))
(*.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 1)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (/.f64 (sqrt.f64 (+.f64 2 (+.f64 alpha beta))) (cbrt.f64 (+.f64 1 beta))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (+.f64 2 alpha) beta)) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (/.f64 (sqrt.f64 (+.f64 (+.f64 2 alpha) beta)) (cbrt.f64 (+.f64 beta 1))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (/.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (cbrt.f64 (+.f64 beta 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) 1) (/.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) (+.f64 1 beta)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) 2) (/.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) (+.f64 beta 1)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) (+.f64 beta 1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) (hypot.f64 1 (sqrt.f64 beta))) (/.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) 2) (hypot.f64 1 (sqrt.f64 beta))) (/.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) (hypot.f64 1 (sqrt.f64 beta))) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 2 (+.f64 alpha beta))) 2) (pow.f64 (cbrt.f64 (+.f64 1 beta)) 2)) (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 beta))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 2 alpha) beta)) 2) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 beta))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)))
(pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 1)
(/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 beta))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 2)
(/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 beta))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))) 3)
(/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 beta))
(pow.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 3) 1/3)
(/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 beta))
(pow.f64 (/.f64 (-.f64 -1 beta) (-.f64 -2 (+.f64 alpha beta))) -1)
(/.f64 1 (/.f64 (-.f64 -1 beta) (-.f64 (-.f64 -2 alpha) beta)))
(neg.f64 (/.f64 (+.f64 2 (+.f64 alpha beta)) (-.f64 -1 beta)))
(/.f64 (neg.f64 (+.f64 (+.f64 2 alpha) beta)) (-.f64 -1 beta))
(/.f64 (neg.f64 (+.f64 beta (+.f64 2 alpha))) (-.f64 -1 beta))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 beta)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 beta))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)))))
(/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 beta))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta)) 3))
(/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 beta))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 3) (pow.f64 (+.f64 1 beta) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (+.f64 2 alpha) beta) 3) (pow.f64 (+.f64 beta 1) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3) (pow.f64 (+.f64 beta 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 beta))
(exp.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta)))
(exp.f64 (-.f64 (log.f64 (+.f64 (+.f64 2 alpha) beta)) (log1p.f64 beta)))
(exp.f64 (-.f64 (log.f64 (+.f64 beta (+.f64 2 alpha))) (log1p.f64 beta)))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 2 (+.f64 alpha beta))) (log1p.f64 beta)) 1))
(exp.f64 (-.f64 (log.f64 (+.f64 (+.f64 2 alpha) beta)) (log1p.f64 beta)))
(exp.f64 (-.f64 (log.f64 (+.f64 beta (+.f64 2 alpha))) (log1p.f64 beta)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -2 (+.f64 alpha beta)) (-.f64 -1 beta))))
(/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 beta))

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1))
✓0.0b
(*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))
✓1.1b
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
✓2.4b
(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))
Compiler

Compiled 93 to 46 computations (50.5% saved)

series12.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite143.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
017166
1420154
26857154
Stop Event
1×node limit
Counts
4 → 218
Calls
Call 1
Inputs
(/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2)))
(+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (*.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) (sqrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 2) (*.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) (/.f64 1 (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))) 2) (cbrt.f64 (/.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (+.f64 alpha (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (+.f64 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alpha beta)) (sqrt.f64 (+.f64 alpha beta)) (fma.f64 alpha beta 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 beta (fma.f64 alpha beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha beta 1)) 2) (cbrt.f64 (fma.f64 alpha beta 1)) (+.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (+.f64 alpha beta)) (fma.f64 alpha beta 1))))))

simplify198.0ms (1.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0100124968
1339324786
Stop Event
1×node limit
Counts
314 → 517
Calls
Call 1
Inputs
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))))
(+.f64 beta 1)
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(*.f64 -1 (-.f64 (*.f64 -1 beta) 1))
(+.f64 (*.f64 -1 (-.f64 (*.f64 -1 beta) 1)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) alpha)))
(+.f64 (*.f64 -1 (-.f64 (*.f64 -1 beta) 1)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 beta) 1)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))))
(/.f64 (+.f64 1 alpha) (+.f64 2 alpha))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))) (/.f64 1 (+.f64 2 alpha))))))
(+.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 alpha))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 alpha (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 1 (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 3)) (+.f64 alpha (*.f64 -1 (/.f64 (*.f64 (+.f64 2 alpha) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2)))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)) beta))
(*.f64 -1 (-.f64 (*.f64 -1 alpha) 1))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 (+.f64 2 alpha) (-.f64 (*.f64 -1 alpha) 1))) beta)) (*.f64 -1 (-.f64 (*.f64 -1 alpha) 1)))
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(*.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta))))))
(/.f64 1 (/.f64 (-.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) (-.f64 (pow.f64 (+.f64 alpha beta) 2) (pow.f64 (fma.f64 alpha beta 1) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)))) (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 alpha beta 1) 3))))
(/.f64 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (pow.f64 (fma.f64 alpha beta 1) 2)) (-.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (+.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (-.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (pow.f64 (fma.f64 alpha beta 1) 2))) (neg.f64 (-.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 alpha beta 1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta))))))
(/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (fma.f64 alpha beta 1)) (+.f64 beta (fma.f64 alpha beta 1)))) (-.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (pow.f64 (+.f64 alpha beta) 2)) (-.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)))
(/.f64 (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 alpha beta))) 1) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 alpha beta)) 1))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 3)) (+.f64 (*.f64 alpha alpha) (-.f64 (*.f64 (+.f64 beta (fma.f64 alpha beta 1)) (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (+.f64 alpha beta) (*.f64 alpha beta)) 3)) (+.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 alpha beta))) (-.f64 1 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 alpha beta)) 1))))
(/.f64 (+.f64 (*.f64 (fma.f64 alpha alpha (neg.f64 (*.f64 beta beta))) (fma.f64 alpha beta -1)) (*.f64 (-.f64 alpha beta) (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1))) (*.f64 (-.f64 alpha beta) (fma.f64 alpha beta -1)))
(/.f64 (+.f64 (*.f64 (fma.f64 alpha alpha (neg.f64 (*.f64 beta beta))) (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta)))) (*.f64 (-.f64 alpha beta) (+.f64 1 (pow.f64 (*.f64 alpha beta) 3)))) (*.f64 (-.f64 alpha beta) (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta)))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 alpha beta -1)) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1))) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (fma.f64 alpha beta -1)))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta)))) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (+.f64 1 (pow.f64 (*.f64 alpha beta) 3)))) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta)))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1) (-.f64 alpha beta)) (*.f64 (fma.f64 alpha beta -1) (fma.f64 alpha alpha (neg.f64 (*.f64 beta beta))))) (*.f64 (fma.f64 alpha beta -1) (-.f64 alpha beta)))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) (*.f64 (fma.f64 alpha beta -1) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (*.f64 (fma.f64 alpha beta -1) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (+.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 alpha beta) 3)) (-.f64 alpha beta)) (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta))) (fma.f64 alpha alpha (neg.f64 (*.f64 beta beta))))) (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta))) (-.f64 alpha beta)))
(/.f64 (+.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 alpha beta) 3)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(pow.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) 1)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 2)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(exp.f64 (log.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(fma.f64 1 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(fma.f64 1 (+.f64 alpha beta) (fma.f64 alpha beta 1))
(fma.f64 1 (fma.f64 alpha beta 1) (+.f64 alpha beta))
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 beta (fma.f64 alpha beta 1)))
(fma.f64 (sqrt.f64 (fma.f64 alpha beta 1)) (sqrt.f64 (fma.f64 alpha beta 1)) (+.f64 alpha beta))
(fma.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha beta)) (fma.f64 alpha beta 1))
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 beta (fma.f64 alpha beta 1)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha beta 1)) 2) (cbrt.f64 (fma.f64 alpha beta 1)) (+.f64 alpha beta))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (+.f64 alpha beta)) (fma.f64 alpha beta 1))
Outputs
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 beta (+.f64 beta 2))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (*.f64 alpha alpha) (fma.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) (*.f64 alpha alpha) (fma.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 beta (+.f64 beta 2)))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 3)) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha) (/.f64 beta (+.f64 beta 2))))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (*.f64 alpha alpha) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3) (fma.f64 (-.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 beta (+.f64 beta 2))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) alpha (/.f64 beta (+.f64 beta 2))))))
(+.f64 (/.f64 1 (+.f64 beta 2)) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) (*.f64 alpha alpha) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (-.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (pow.f64 alpha 3) (fma.f64 (+.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 (/.f64 beta (+.f64 beta 2)) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))) alpha (/.f64 beta (+.f64 beta 2))))))
(+.f64 beta 1)
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(+.f64 beta (-.f64 (+.f64 1 (+.f64 (/.f64 beta alpha) (/.f64 1 alpha))) (/.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta 2)))))
(+.f64 beta (-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 alpha) 1)) (/.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta 2)))))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(+.f64 beta (-.f64 (+.f64 1 (+.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (+.f64 beta (-.f64 1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 1 alpha)))) (/.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta 2)))))
(+.f64 beta (-.f64 (+.f64 (/.f64 beta alpha) (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta (-.f64 1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 1 alpha)) 1)) (/.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta 2)))))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))) (/.f64 1 alpha)))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) alpha))
(-.f64 (+.f64 beta (+.f64 1 (+.f64 (/.f64 beta alpha) (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta (-.f64 1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 1 alpha)) (/.f64 (+.f64 beta (-.f64 1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))))))) (/.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta 2))))
(+.f64 (+.f64 (+.f64 (/.f64 beta alpha) (+.f64 (fma.f64 -1 (/.f64 (+.f64 beta (-.f64 1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))) (/.f64 1 alpha)) 1)) (/.f64 (+.f64 beta (-.f64 1 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2)))) (-.f64 beta (/.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta 2)))))
(*.f64 -1 (-.f64 (*.f64 -1 beta) 1))
(neg.f64 (fma.f64 -1 beta -1))
(*.f64 1 (+.f64 beta 1))
(+.f64 (*.f64 -1 (-.f64 (*.f64 -1 beta) 1)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) alpha)))
(*.f64 -1 (+.f64 (fma.f64 -1 beta -1) (/.f64 (-.f64 (fma.f64 -1 beta -1) (*.f64 (+.f64 beta 2) (fma.f64 -1 beta -1))) alpha)))
(+.f64 (*.f64 -1 (-.f64 (*.f64 -1 beta) 1)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2))))
(fma.f64 -1 (fma.f64 -1 beta -1) (fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 beta -1) (*.f64 (+.f64 beta 2) (fma.f64 -1 beta -1))) alpha) (/.f64 (-.f64 (fma.f64 -1 beta -1) (*.f64 (+.f64 beta 2) (fma.f64 -1 beta -1))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (-.f64 (*.f64 -1 beta) 1)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) alpha)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 (-.f64 (*.f64 -1 beta) 1) (+.f64 beta 2))) (+.f64 beta 2)) (pow.f64 alpha 2)))))
(fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 beta -1) (*.f64 (+.f64 beta 2) (fma.f64 -1 beta -1))) (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 -1 (fma.f64 -1 beta -1) (fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 beta -1) (*.f64 (+.f64 beta 2) (fma.f64 -1 beta -1))) alpha) (/.f64 (-.f64 (fma.f64 -1 beta -1) (*.f64 (+.f64 beta 2) (fma.f64 -1 beta -1))) (/.f64 (*.f64 alpha alpha) (+.f64 beta 2))))))
(/.f64 (+.f64 1 alpha) (+.f64 2 alpha))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (fma.f64 beta (+.f64 (/.f64 alpha (+.f64 2 alpha)) (-.f64 (/.f64 1 (+.f64 2 alpha)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (fma.f64 beta (+.f64 (/.f64 alpha (+.f64 2 alpha)) (-.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1 (+.f64 2 alpha))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (+.f64 2 alpha)) (/.f64 1 (+.f64 2 alpha))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (fma.f64 beta (+.f64 (/.f64 alpha (+.f64 2 alpha)) (-.f64 (/.f64 1 (+.f64 2 alpha)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (/.f64 alpha (+.f64 2 alpha)) (fma.f64 beta (+.f64 (/.f64 alpha (+.f64 2 alpha)) (-.f64 (-.f64 (/.f64 1 (+.f64 2 alpha)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))) (fma.f64 (*.f64 beta beta) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1 (+.f64 2 alpha)))))
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(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (+.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (+.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)))))
(/.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (+.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (-.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)))))
(/.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) (pow.f64 (fma.f64 alpha beta 1) 3)) (+.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (-.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 alpha beta) 2) (pow.f64 (fma.f64 alpha beta 1) 2))) (neg.f64 (-.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 alpha beta 1) 2))) (neg.f64 (-.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 beta alpha) 2) (pow.f64 (fma.f64 alpha beta 1) 2))) (-.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 3) (pow.f64 (fma.f64 alpha beta 1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 alpha beta) 2) (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 3) (pow.f64 (fma.f64 alpha beta 1) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 beta alpha) 2) (*.f64 (fma.f64 alpha beta 1) (-.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha))))))
(/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (fma.f64 alpha beta 1)) (+.f64 beta (fma.f64 alpha beta 1)))) (-.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))
(/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta (fma.f64 alpha beta 1)) (+.f64 beta (fma.f64 alpha beta 1)))) (-.f64 (-.f64 alpha beta) (fma.f64 alpha beta 1)))
(/.f64 (*.f64 (+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1)) (-.f64 (-.f64 alpha beta) (fma.f64 alpha beta 1))) (-.f64 (-.f64 alpha beta) (fma.f64 alpha beta 1)))
(/.f64 (-.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (pow.f64 (+.f64 alpha beta) 2)) (-.f64 (fma.f64 alpha beta 1) (+.f64 alpha beta)))
(/.f64 (-.f64 (pow.f64 (fma.f64 alpha beta 1) 2) (pow.f64 (+.f64 beta alpha) 2)) (-.f64 (fma.f64 alpha beta 1) (+.f64 beta alpha)))
(/.f64 (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 alpha beta))) 1) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 alpha beta)) 1))
(/.f64 (fma.f64 (+.f64 alpha (+.f64 beta (*.f64 beta alpha))) (+.f64 alpha (+.f64 beta (*.f64 beta alpha))) -1) (+.f64 (+.f64 beta alpha) (-.f64 (*.f64 beta alpha) 1)))
(/.f64 (fma.f64 (+.f64 alpha (+.f64 beta (*.f64 beta alpha))) (+.f64 alpha (+.f64 beta (*.f64 beta alpha))) -1) (+.f64 (+.f64 beta alpha) (fma.f64 alpha beta -1)))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 3)) (+.f64 (*.f64 alpha alpha) (-.f64 (*.f64 (+.f64 beta (fma.f64 alpha beta 1)) (+.f64 beta (fma.f64 alpha beta 1))) (*.f64 alpha (+.f64 beta (fma.f64 alpha beta 1))))))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta (fma.f64 alpha beta 1)) (-.f64 (+.f64 beta (fma.f64 alpha beta 1)) alpha))))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta (fma.f64 alpha beta 1)) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta (fma.f64 alpha beta 1)) (+.f64 (fma.f64 alpha beta 1) (-.f64 beta alpha)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (+.f64 alpha beta) (*.f64 alpha beta)) 3)) (+.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) (*.f64 alpha beta))) (-.f64 1 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 alpha beta)) 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 alpha (+.f64 beta (*.f64 beta alpha))) 3)) (fma.f64 (+.f64 alpha (+.f64 beta (*.f64 beta alpha))) (+.f64 alpha (+.f64 beta (*.f64 beta alpha))) (-.f64 1 (+.f64 alpha (+.f64 beta (*.f64 beta alpha))))))
(/.f64 (+.f64 (*.f64 (fma.f64 alpha alpha (neg.f64 (*.f64 beta beta))) (fma.f64 alpha beta -1)) (*.f64 (-.f64 alpha beta) (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1))) (*.f64 (-.f64 alpha beta) (fma.f64 alpha beta -1)))
(/.f64 (fma.f64 (fma.f64 alpha alpha (*.f64 beta (neg.f64 beta))) (fma.f64 alpha beta -1) (*.f64 (-.f64 alpha beta) (+.f64 -1 (pow.f64 (*.f64 beta alpha) 2)))) (*.f64 (fma.f64 alpha beta -1) (-.f64 alpha beta)))
(/.f64 (+.f64 (*.f64 (fma.f64 alpha alpha (neg.f64 (*.f64 beta beta))) (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta)))) (*.f64 (-.f64 alpha beta) (+.f64 1 (pow.f64 (*.f64 alpha beta) 3)))) (*.f64 (-.f64 alpha beta) (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta)))))
(/.f64 (fma.f64 (fma.f64 alpha alpha (*.f64 beta (neg.f64 beta))) (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha))) (*.f64 (-.f64 alpha beta) (+.f64 1 (pow.f64 (*.f64 beta alpha) 3)))) (*.f64 (-.f64 alpha beta) (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha)))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (fma.f64 alpha beta -1)) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1))) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (fma.f64 alpha beta -1)))
(/.f64 (fma.f64 (+.f64 -1 (pow.f64 (*.f64 beta alpha) 2)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (*.f64 (fma.f64 alpha beta -1) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))) (*.f64 (fma.f64 alpha beta -1) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (/.f64 (fma.f64 (+.f64 -1 (pow.f64 (*.f64 beta alpha) 2)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (*.f64 (fma.f64 alpha beta -1) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))) (fma.f64 alpha beta -1)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)) (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta)))) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (+.f64 1 (pow.f64 (*.f64 alpha beta) 3)))) (*.f64 (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta)))))
(/.f64 (fma.f64 (+.f64 1 (pow.f64 (*.f64 beta alpha) 3)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (*.f64 (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha))) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))) (*.f64 (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1) (-.f64 alpha beta)) (*.f64 (fma.f64 alpha beta -1) (fma.f64 alpha alpha (neg.f64 (*.f64 beta beta))))) (*.f64 (fma.f64 alpha beta -1) (-.f64 alpha beta)))
(/.f64 (fma.f64 (fma.f64 alpha alpha (*.f64 beta (neg.f64 beta))) (fma.f64 alpha beta -1) (*.f64 (-.f64 alpha beta) (+.f64 -1 (pow.f64 (*.f64 beta alpha) 2)))) (*.f64 (fma.f64 alpha beta -1) (-.f64 alpha beta)))
(/.f64 (+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) -1) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) (*.f64 (fma.f64 alpha beta -1) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (*.f64 (fma.f64 alpha beta -1) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (fma.f64 (+.f64 -1 (pow.f64 (*.f64 beta alpha) 2)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (*.f64 (fma.f64 alpha beta -1) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))) (*.f64 (fma.f64 alpha beta -1) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (/.f64 (fma.f64 (+.f64 -1 (pow.f64 (*.f64 beta alpha) 2)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (*.f64 (fma.f64 alpha beta -1) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))) (fma.f64 alpha beta -1)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))))
(/.f64 (+.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 alpha beta) 3)) (-.f64 alpha beta)) (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta))) (fma.f64 alpha alpha (neg.f64 (*.f64 beta beta))))) (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta))) (-.f64 alpha beta)))
(/.f64 (fma.f64 (fma.f64 alpha alpha (*.f64 beta (neg.f64 beta))) (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha))) (*.f64 (-.f64 alpha beta) (+.f64 1 (pow.f64 (*.f64 beta alpha) 3)))) (*.f64 (-.f64 alpha beta) (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha)))))
(/.f64 (+.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 alpha beta) 3)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))) (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta))) (+.f64 (pow.f64 beta 3) (pow.f64 alpha 3)))) (*.f64 (+.f64 (pow.f64 (*.f64 alpha beta) 2) (-.f64 1 (*.f64 alpha beta))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(/.f64 (fma.f64 (+.f64 1 (pow.f64 (*.f64 beta alpha) 3)) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha))) (*.f64 (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha))) (+.f64 (pow.f64 alpha 3) (pow.f64 beta 3)))) (*.f64 (+.f64 (pow.f64 (*.f64 beta alpha) 2) (-.f64 1 (*.f64 beta alpha))) (fma.f64 alpha alpha (*.f64 beta (-.f64 beta alpha)))))
(pow.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) 1)
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(pow.f64 (sqrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 2)
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(pow.f64 (cbrt.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 3)
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(pow.f64 (pow.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) 3) 1/3)
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) 2))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1)) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)))))
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1)) 3))
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(exp.f64 (log.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))) 1))
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 alpha beta) (fma.f64 alpha beta 1))))
(+.f64 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(fma.f64 1 alpha (+.f64 beta (fma.f64 alpha beta 1)))
(fma.f64 1 (+.f64 alpha beta) (fma.f64 alpha beta 1))
(fma.f64 1 (+.f64 beta alpha) (fma.f64 alpha beta 1))
(fma.f64 1 (fma.f64 alpha beta 1) (+.f64 alpha beta))
(fma.f64 1 (fma.f64 alpha beta 1) (+.f64 beta alpha))
(fma.f64 (sqrt.f64 alpha) (sqrt.f64 alpha) (+.f64 beta (fma.f64 alpha beta 1)))
(fma.f64 (sqrt.f64 (fma.f64 alpha beta 1)) (sqrt.f64 (fma.f64 alpha beta 1)) (+.f64 alpha beta))
(fma.f64 (sqrt.f64 (fma.f64 alpha beta 1)) (sqrt.f64 (fma.f64 alpha beta 1)) (+.f64 beta alpha))
(fma.f64 (sqrt.f64 (+.f64 alpha beta)) (sqrt.f64 (+.f64 alpha beta)) (fma.f64 alpha beta 1))
(fma.f64 (sqrt.f64 (+.f64 beta alpha)) (sqrt.f64 (+.f64 beta alpha)) (fma.f64 alpha beta 1))
(fma.f64 (pow.f64 (cbrt.f64 alpha) 2) (cbrt.f64 alpha) (+.f64 beta (fma.f64 alpha beta 1)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha beta 1)) 2) (cbrt.f64 (fma.f64 alpha beta 1)) (+.f64 alpha beta))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 alpha beta 1)) 2) (cbrt.f64 (fma.f64 alpha beta 1)) (+.f64 beta alpha))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 alpha beta)) 2) (cbrt.f64 (+.f64 alpha beta)) (fma.f64 alpha beta 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 beta alpha)) 2) (cbrt.f64 (+.f64 beta alpha)) (fma.f64 alpha beta 1))

eval1.9s (10.3%)

Compiler

Compiled 95060 to 66026 computations (30.5% saved)

prune782.0ms (4.2%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New1907181925
Fresh000
Picked101
Done303
Total1911181929
Error
0b
Counts
1929 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
28.0b
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 alpha (+.f64 beta 2))))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 alpha (+.f64 beta 2)))))
2.5b
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
2.5b
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
▶62.8b
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
22.7b
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
▶12.8b
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
27.5b
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
12.8b
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
62.9b
(/.f64 (/.f64 (*.f64 1 (+.f64 1 beta)) alpha) alpha)
5.9b
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
62.4b
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
24.3b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
▶28.8b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
▶0.1b
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
1.1b
(/.f64 (*.f64 (+.f64 beta 1) (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
▶41.9b
(/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
0.7b
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))
0.1b
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
Compiler

Compiled 768 to 538 computations (29.9% saved)

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))
✓0.1b
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
✓0.1b
(/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta)))
✓20.2b
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta))
Compiler

Compiled 97 to 56 computations (42.3% saved)

series74.0ms (0.4%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
59.0ms
alpha
@-inf
(/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta)))
1.0ms
alpha
@-inf
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
1.0ms
beta
@-inf
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
1.0ms
alpha
@0
(/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta)))
1.0ms
alpha
@-inf
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta))

rewrite113.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
488×+-commutative
446×add-sqr-sqrt
436×pow1
436×*-un-lft-identity
418×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017196
1423160
26704160
Stop Event
1×node limit
Counts
4 → 177
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta))
(/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta)))
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta)))
Outputs
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simplify233.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1520×associate-/r*
1206×associate-+r+
1084×associate-+l+
1070×associate-*r/
958×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0107227859
1383527447
Stop Event
1×node limit
Counts
273 → 494
Calls
Call 1
Inputs
(/.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 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -2 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -2 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -2 (*.f64 (+.f64 beta 1) (+.f64 beta 2))))))) (pow.f64 alpha 3))) (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -2 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -2 (*.f64 (+.f64 beta 1) (+.f64 beta 2))))) (pow.f64 alpha 4)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -2 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -2 (*.f64 (+.f64 beta 1) (+.f64 beta 2))))))) (pow.f64 alpha 3))) (/.f64 1 alpha))))))
(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))))))
(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))))))
(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (*.f64 (pow.f64 beta 3) (-.f64 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 6)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2))) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4)))))) (+.f64 (*.f64 beta (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4)))) (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 4))) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 4))))))))))
(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 3))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 alpha (pow.f64 beta 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 4 (*.f64 2 alpha)) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 4 (*.f64 2 alpha)))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha)))))) (pow.f64 beta 4))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (*.f64 (-.f64 (+.f64 1 alpha) (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha)))) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 beta 3)))))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 2)))
(/.f64 (+.f64 1 alpha) beta)
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2)))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 3))))))
(+.f64 (/.f64 1 beta) (+.f64 (/.f64 alpha beta) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4)) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 2 alpha)) (pow.f64 beta 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (-.f64 (*.f64 -1 (+.f64 1 alpha)) (*.f64 -2 (*.f64 (+.f64 1 alpha) (+.f64 2 alpha)))) (+.f64 2 alpha))) (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (pow.f64 beta 3))))))))
(/.f64 -1 (pow.f64 (+.f64 beta 2) 2))
(-.f64 (*.f64 -1 (*.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 (*.f64 -1 (*.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 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 1 (pow.f64 (+.f64 beta 2) 2)))
(-.f64 (+.f64 (*.f64 -1 (*.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 -1 (*.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 (+.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 1 (pow.f64 (+.f64 beta 2) 2)))
(/.f64 -1 alpha)
(-.f64 (+.f64 (*.f64 2 (/.f64 beta (pow.f64 alpha 2))) (*.f64 3 (/.f64 1 (pow.f64 alpha 2)))) (/.f64 1 alpha))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 3 (*.f64 2 beta))) (pow.f64 alpha 3))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3))))) (/.f64 1 alpha))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 3 (*.f64 2 beta))) (pow.f64 alpha 3))) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 2 (/.f64 beta (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 3 (*.f64 2 beta)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 4 (*.f64 2 beta)) (+.f64 3 (*.f64 2 beta)))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 4 (*.f64 2 beta))) (pow.f64 alpha 4)))))))) (/.f64 1 alpha))
(/.f64 -1 alpha)
(-.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -2 (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 1 alpha))
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 1 (*.f64 -2 (+.f64 beta 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -2 (+.f64 beta 2))) (pow.f64 alpha 2))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)))) (/.f64 1 alpha))
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 1 (*.f64 -2 (+.f64 beta 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -2 (+.f64 beta 2))) (pow.f64 alpha 2))) (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (pow.f64 alpha 3)) (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 beta 2) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 2 (*.f64 (+.f64 beta 2) (+.f64 1 (*.f64 -2 (+.f64 beta 2)))))))) (*.f64 -1 (*.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 1 (*.f64 -2 (+.f64 beta 2)))))) (pow.f64 alpha 4)))))) (/.f64 1 alpha))
(*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)))
(+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (*.f64 beta (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4)) (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))))
(+.f64 (/.f64 (*.f64 beta (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (*.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 (*.f64 beta (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha)))) (pow.f64 (+.f64 2 alpha) 4)) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))) (+.f64 (*.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 (pow.f64 beta 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 (+.f64 2 alpha) 6))) (*.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 1 alpha) (pow.f64 beta 2)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 3)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 1 alpha) (pow.f64 beta 2))) (+.f64 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2)) (pow.f64 beta 4)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 1 alpha) (pow.f64 (+.f64 4 (*.f64 2 alpha)) 2)) (pow.f64 beta 4))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 4 (*.f64 2 alpha))) (pow.f64 beta 3)))))
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(exp.f64 (log.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))))
Outputs
(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (+.f64 beta 1) (*.f64 2 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 4)))) alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(fma.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 4 (*.f64 beta 2))))) alpha (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))
(+.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) alpha) (+.f64 (*.f64 -1 (*.f64 (pow.f64 alpha 2) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 4))) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (+.f64 beta 1) (*.f64 2 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 4)))) alpha (fma.f64 -1 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (+.f64 beta 1) (*.f64 2 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 2 (+.f64 beta 2)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(fma.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 4 (*.f64 beta 2))))) alpha (fma.f64 -1 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 4 (*.f64 beta 2))))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 4 (*.f64 beta 2)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(+.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))))))
(fma.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (+.f64 beta 1) (*.f64 2 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 4)))) alpha (fma.f64 -1 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (+.f64 beta 1) (*.f64 2 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 2 (+.f64 beta 2)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (fma.f64 (-.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 6) (*.f64 2 (+.f64 beta 2)))) (fma.f64 -1 (/.f64 (*.f64 2 (+.f64 beta 2)) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 (/.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (*.f64 (+.f64 beta 1) (*.f64 2 (+.f64 beta 2))) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 2 (+.f64 beta 2)))) (+.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) 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))))))
(fma.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 4 (*.f64 beta 2))))) alpha (fma.f64 -1 (*.f64 (*.f64 alpha alpha) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 4 (*.f64 beta 2))))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 4 (*.f64 beta 2)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4))))) (fma.f64 (-.f64 (/.f64 (+.f64 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 6) (+.f64 4 (*.f64 beta 2)))) (fma.f64 -1 (/.f64 (+.f64 4 (*.f64 beta 2)) (/.f64 (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 beta 1) (/.f64 (pow.f64 (+.f64 beta 2) 4) (+.f64 4 (*.f64 beta 2))))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 4 (*.f64 beta 2)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 4)) (/.f64 beta (pow.f64 (+.f64 beta 2) 4)))))) (+.f64 (/.f64 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 (/.f64 beta (*.f64 alpha alpha)) (/.f64 beta alpha)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 alpha alpha) (*.f64 2 (+.f64 beta 2)))))
(+.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 (/.f64 beta alpha) (-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha)) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 alpha alpha) (+.f64 4 (*.f64 beta 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 beta (*.f64 alpha alpha)) (-.f64 (+.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (fma.f64 (*.f64 2 (+.f64 beta 2)) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (*.f64 2 (+.f64 beta 2)))) (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha)))) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 alpha alpha) (*.f64 2 (+.f64 beta 2))))))
(+.f64 (/.f64 beta (*.f64 alpha alpha)) (+.f64 (/.f64 beta alpha) (-.f64 (fma.f64 -1 (/.f64 (fma.f64 (+.f64 4 (*.f64 beta 2)) (+.f64 1 (-.f64 beta (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta 2))))) (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 alpha alpha) (+.f64 4 (*.f64 beta 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 (*.f64 alpha alpha)) (-.f64 (fma.f64 -1 (/.f64 (fma.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (*.f64 2 (+.f64 beta 2)))) (neg.f64 (*.f64 (*.f64 2 (+.f64 beta 2)) (fma.f64 (*.f64 2 (+.f64 beta 2)) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (*.f64 2 (+.f64 beta 2)))) (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4)) (+.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (fma.f64 (*.f64 2 (+.f64 beta 2)) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (*.f64 2 (+.f64 beta 2)))) (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))))) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 alpha alpha) (*.f64 2 (+.f64 beta 2))))))
(+.f64 (/.f64 beta (*.f64 alpha alpha)) (-.f64 (fma.f64 -1 (/.f64 (fma.f64 (pow.f64 (+.f64 beta 2) 2) (+.f64 1 (-.f64 beta (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta 2))))) (neg.f64 (*.f64 (+.f64 4 (*.f64 beta 2)) (fma.f64 (+.f64 4 (*.f64 beta 2)) (+.f64 1 (-.f64 beta (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta 2))))) (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)))))) (pow.f64 alpha 4)) (+.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 4 (*.f64 beta 2)) (+.f64 1 (-.f64 beta (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta 2))))) (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 1 alpha))))) (/.f64 (+.f64 beta 1) (/.f64 (*.f64 alpha alpha) (+.f64 4 (*.f64 beta 2))))))
(/.f64 (+.f64 beta 1) alpha)
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -2 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(fma.f64 -1 (/.f64 (+.f64 (+.f64 (neg.f64 beta) -1) (*.f64 2 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (*.f64 alpha alpha)) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(fma.f64 -1 (/.f64 (+.f64 (neg.f64 (+.f64 beta 1)) (*.f64 2 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (*.f64 alpha alpha)) (+.f64 (/.f64 beta alpha) (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -2 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (pow.f64 alpha 2))) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -2 (*.f64 (+.f64 beta 1) (+.f64 beta 2))))))) (pow.f64 alpha 3))) (/.f64 1 alpha))))
(fma.f64 -1 (/.f64 (+.f64 (+.f64 (neg.f64 beta) -1) (*.f64 2 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (*.f64 alpha alpha)) (+.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2) (*.f64 -2 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 (neg.f64 beta) -1) (*.f64 2 (*.f64 (+.f64 beta 1) (+.f64 beta 2))))))) (pow.f64 alpha 3)) (/.f64 1 alpha))))
(fma.f64 -1 (/.f64 (+.f64 (neg.f64 (+.f64 beta 1)) (*.f64 2 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (*.f64 alpha alpha)) (+.f64 (/.f64 beta alpha) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2) (*.f64 -2 (*.f64 (+.f64 beta 2) (+.f64 (neg.f64 (+.f64 beta 1)) (*.f64 2 (*.f64 (+.f64 beta 1) (+.f64 beta 2))))))) (pow.f64 alpha 3)) (/.f64 1 alpha))))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -2 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta 2) 2) (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -2 (*.f64 (+.f64 beta 1) (+.f64 beta 2))))) (pow.f64 alpha 4)) (+.f64 (/.f64 beta alpha) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 beta 2) (+.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -2 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (*.f64 -2 (*.f64 (+.f64 beta 2) (-.f64 (*.f64 -1 (+.f64 beta 1)) (*.f64 -2 (*.f64 (+.f64 beta 1) (+.f64 beta 2))))))) (pow.f64 alpha 3))) (/.f64 1 alpha))))))
(fma.f64 -1 (/.f64 (+.f64 (+.f64 (neg.f64 beta) -1) (*.f64 2 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (*.f64 alpha alpha)) (+.f64 (+.f64 (/.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (pow.f64 alpha 4) (+.f64 (+.f64 (neg.f64 beta) -1) (*.f64 2 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))))) (/.f64 beta alpha)) (fma.f64 2 (/.f64 (+.f64 beta 2) (/.f64 (pow.f64 alpha 4) (fma.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2) (*.f64 -2 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 (neg.f64 beta) -1) (*.f64 2 (*.f64 (+.f64 beta 1) (+.f64 beta 2))))))))) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2) (*.f64 -2 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 (neg.f64 beta) -1) (*.f64 2 (*.f64 (+.f64 beta 1) (+.f64 beta 2))))))) (pow.f64 alpha 3)) (/.f64 1 alpha)))))
(fma.f64 -1 (/.f64 (+.f64 (neg.f64 (+.f64 beta 1)) (*.f64 2 (*.f64 (+.f64 beta 1) (+.f64 beta 2)))) (*.f64 alpha alpha)) (+.f64 (/.f64 beta alpha) (+.f64 (fma.f64 2 (/.f64 (+.f64 beta 2) (/.f64 (pow.f64 alpha 4) (fma.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2) (*.f64 -2 (*.f64 (+.f64 beta 2) (+.f64 (neg.f64 (+.f64 beta 1)) (*.f64 2 (*.f64 (+.f64 beta 1) (+.f64 beta 2))))))))) (fma.f64 -1 (/.f64 (fma.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2) (*.f64 -2 (*.f64 (+.f64 beta 2) (+.f64 (neg.f64 (+.f64 beta 1)) (*.f64 2 (*.f64 (+.f64 beta 1) (+.f64 beta 2))))))) (pow.f64 alpha 3)) (/.f64 1 alpha))) (/.f64 (pow.f64 (+.f64 beta 2) 2) (/.f64 (pow.f64 alpha 4) (+.f64 (neg.f64 (+.f64 beta 1)) (*.f64 2 (*.f64 (+.f64 beta 1) (+.f64 beta 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 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (-.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 4 (*.f64 2 alpha))))))))
(+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (*.f64 beta (+.f64 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)) (-.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (+.f64 1 alpha) (/.f64 (pow.f64 (+.f64 2 alpha) 4) (+.f64 4 (*.f64 2 alpha)))))))))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
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(neg.f64 (/.f64 (*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2)) (-.f64 -1 beta)) (-.f64 -3 (+.f64 alpha beta))))
(*.f64 (-.f64 -1 beta) (/.f64 (neg.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 -2 (+.f64 beta alpha)) 2))) (-.f64 (-.f64 -3 alpha) beta)))
(*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2)) (/.f64 (+.f64 beta 1) (-.f64 -3 (+.f64 beta alpha))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2)) (+.f64 alpha (+.f64 beta 3))) (-.f64 -1 beta)) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 -2 (+.f64 beta alpha)) 2)) (/.f64 (-.f64 -1 beta) (+.f64 alpha (+.f64 beta 3)))) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2)) (/.f64 (-.f64 -1 beta) (+.f64 alpha (+.f64 beta 3)))) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2)) (+.f64 alpha (+.f64 beta 3))) (-.f64 -1 beta))))
(*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 -2 (+.f64 beta alpha)) 2)) (/.f64 (-.f64 -1 beta) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2)) (/.f64 (-.f64 -1 beta) (+.f64 alpha (+.f64 beta 3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2)) (+.f64 alpha (+.f64 beta 3))) (-.f64 -1 beta)))))
(*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 -2 (+.f64 beta alpha)) 2)) (/.f64 (-.f64 -1 beta) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2)) (/.f64 (-.f64 -1 beta) (+.f64 alpha (+.f64 beta 3))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2)) (+.f64 alpha (+.f64 beta 3))) (-.f64 -1 beta)) 3))
(*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 -2 (+.f64 beta alpha)) 2)) (/.f64 (-.f64 -1 beta) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2)) (/.f64 (-.f64 -1 beta) (+.f64 alpha (+.f64 beta 3))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2)) (-.f64 -1 beta)) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 -2 (+.f64 beta alpha)) 2) (-.f64 -1 alpha))) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (/.f64 (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2) (-.f64 -1 alpha))) 3) (pow.f64 (+.f64 alpha (+.f64 beta 3)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2)) (+.f64 alpha (+.f64 beta 3))) (-.f64 -1 beta))))
(*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 -2 (+.f64 beta alpha)) 2)) (/.f64 (-.f64 -1 beta) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2)) (/.f64 (-.f64 -1 beta) (+.f64 alpha (+.f64 beta 3))))
(exp.f64 (log.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2)) (+.f64 alpha (+.f64 beta 3))) (-.f64 -1 beta))))
(*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 -2 (+.f64 beta alpha)) 2)) (/.f64 (-.f64 -1 beta) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2)) (/.f64 (-.f64 -1 beta) (+.f64 alpha (+.f64 beta 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2)) (+.f64 alpha (+.f64 beta 3))) (-.f64 -1 beta))) 1))
(*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 -2 (+.f64 beta alpha)) 2)) (/.f64 (-.f64 -1 beta) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2)) (/.f64 (-.f64 -1 beta) (+.f64 alpha (+.f64 beta 3))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2)) (+.f64 alpha (+.f64 beta 3))) (-.f64 -1 beta))))
(*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 -2 (+.f64 beta alpha)) 2)) (/.f64 (-.f64 -1 beta) (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (-.f64 -1 alpha) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2)) (/.f64 (-.f64 -1 beta) (+.f64 alpha (+.f64 beta 3))))
(+.f64 (/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)) (neg.f64 (/.f64 alpha (-.f64 (-.f64 -2 alpha) beta))))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))
(+.f64 (neg.f64 (/.f64 alpha (-.f64 (-.f64 -2 alpha) beta))) (/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))
(-.f64 (/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)) (/.f64 alpha (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)))) 1)
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))
(*.f64 (-.f64 -1 alpha) (/.f64 1 (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))
(*.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) 1)
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))
(*.f64 1 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))
(*.f64 (sqrt.f64 (-.f64 -1 alpha)) (*.f64 (sqrt.f64 (-.f64 -1 alpha)) (/.f64 1 (-.f64 (-.f64 -2 alpha) beta))))
(*.f64 (sqrt.f64 (-.f64 -1 alpha)) (*.f64 (sqrt.f64 (-.f64 -1 alpha)) (/.f64 1 (-.f64 -2 (+.f64 beta alpha)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))) (sqrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) (*.f64 (cbrt.f64 (-.f64 -1 alpha)) (/.f64 1 (-.f64 (-.f64 -2 alpha) beta))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) (*.f64 (/.f64 1 (-.f64 -2 (+.f64 beta alpha))) (cbrt.f64 (-.f64 -1 alpha))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) (*.f64 (/.f64 1 (-.f64 (-.f64 -2 alpha) beta)) (cbrt.f64 (-.f64 -1 alpha))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))) 2))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))) 2) (cbrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))
(*.f64 (/.f64 1 (-.f64 (-.f64 -2 alpha) beta)) (-.f64 -1 alpha))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))
(*.f64 (-.f64 1 (neg.f64 alpha)) (/.f64 -1 (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 (-.f64 -2 alpha) beta))) (/.f64 (-.f64 -1 alpha) (sqrt.f64 (-.f64 (-.f64 -2 alpha) beta))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -2 (+.f64 beta alpha)))) (/.f64 (-.f64 -1 alpha) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (-.f64 -2 alpha) beta)) 2)) (/.f64 (-.f64 -1 alpha) (cbrt.f64 (-.f64 (-.f64 -2 alpha) beta))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))) 2)) (/.f64 (-.f64 -1 alpha) (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))))
(*.f64 (/.f64 (-.f64 -1 alpha) (-.f64 4 (pow.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 -2 beta)))
(*.f64 (+.f64 alpha (+.f64 beta -2)) (/.f64 (-.f64 -1 alpha) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))))
(*.f64 (+.f64 beta (+.f64 -2 alpha)) (/.f64 (-.f64 -1 alpha) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))))
(*.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -8 (pow.f64 (+.f64 alpha beta) 3))) (+.f64 4 (*.f64 (+.f64 alpha beta) (+.f64 alpha (+.f64 -2 beta)))))
(*.f64 (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 alpha (+.f64 beta -2)))) (/.f64 (-.f64 -1 alpha) (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3))))
(*.f64 (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 -2 alpha)))) (/.f64 (-.f64 -1 alpha) (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 alpha)) 1) (/.f64 (sqrt.f64 (-.f64 -1 alpha)) (-.f64 (-.f64 -2 alpha) beta)))
(*.f64 (sqrt.f64 (-.f64 -1 alpha)) (/.f64 (sqrt.f64 (-.f64 -1 alpha)) (-.f64 -2 (+.f64 beta alpha))))
(*.f64 (sqrt.f64 (-.f64 -1 alpha)) (/.f64 (sqrt.f64 (-.f64 -1 alpha)) (-.f64 (-.f64 -2 alpha) beta)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 alpha)) (pow.f64 (cbrt.f64 (-.f64 (-.f64 -2 alpha) beta)) 2)) (/.f64 (sqrt.f64 (-.f64 -1 alpha)) (cbrt.f64 (-.f64 (-.f64 -2 alpha) beta))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 alpha)) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))) 2)) (/.f64 (sqrt.f64 (-.f64 -1 alpha)) (cbrt.f64 (-.f64 -2 (+.f64 beta alpha)))))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 -1 alpha)) (sqrt.f64 (-.f64 -1 alpha))) (pow.f64 (cbrt.f64 (-.f64 (-.f64 -2 alpha) beta)) 2)) (cbrt.f64 (-.f64 (-.f64 -2 alpha) beta)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) 1) (/.f64 (cbrt.f64 (-.f64 -1 alpha)) (-.f64 (-.f64 -2 alpha) beta)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) (/.f64 (cbrt.f64 (-.f64 -1 alpha)) (-.f64 -2 (+.f64 beta alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) (-.f64 (-.f64 -2 alpha) beta)) (cbrt.f64 (-.f64 -1 alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) (sqrt.f64 (-.f64 (-.f64 -2 alpha) beta))) (/.f64 (cbrt.f64 (-.f64 -1 alpha)) (sqrt.f64 (-.f64 (-.f64 -2 alpha) beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha)))) (/.f64 (cbrt.f64 (-.f64 -1 alpha)) (sqrt.f64 (-.f64 -2 (+.f64 beta alpha)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) (pow.f64 (cbrt.f64 (-.f64 (-.f64 -2 alpha) beta)) 2)) (cbrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) (cbrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha))))) (pow.f64 (cbrt.f64 (-.f64 -2 (+.f64 beta alpha))) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 alpha)) 2) (pow.f64 (cbrt.f64 (-.f64 (-.f64 -2 alpha) beta)) 2)))
(pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) 1)
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))) 2)
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))) 3)
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) 3) 1/3)
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))
(pow.f64 (/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 alpha)) -1)
(/.f64 1 (/.f64 (-.f64 -2 (+.f64 beta alpha)) (-.f64 -1 alpha)))
(/.f64 1 (/.f64 (-.f64 (-.f64 -2 alpha) beta) (-.f64 -1 alpha)))
(neg.f64 (/.f64 (-.f64 -1 alpha) (-.f64 2 (-.f64 (neg.f64 alpha) beta))))
(/.f64 (neg.f64 (-.f64 -1 alpha)) (+.f64 (-.f64 2 (neg.f64 alpha)) beta))
(/.f64 (neg.f64 (-.f64 -1 alpha)) (+.f64 (+.f64 2 alpha) beta))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)))))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta)) 3))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 -1 alpha) 3) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 3)))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))
(exp.f64 (log.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))) 1))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))))
(/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 beta alpha)))
(/.f64 (-.f64 -1 alpha) (-.f64 (-.f64 -2 alpha) beta))

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓1.1b
(/.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))

rewrite82.0ms (0.4%)

Algorithm
1×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
1×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))))))))

simplify56.0ms (0.3%)

Algorithm
1×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
1×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))

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 beta 1) alpha)
✓15.9b
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
Compiler

Compiled 33 to 21 computations (36.4% saved)

series6.0ms (0%)

Counts
2 → 36
Calls

12 calls:

TimeVariablePointExpression
2.0ms
beta
@inf
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
1.0ms
beta
@0
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
0.0ms
alpha
@0
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
0.0ms
beta
@-inf
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))
0.0ms
alpha
@inf
(/.f64 (/.f64 (+.f64 beta 1) alpha) (+.f64 alpha (+.f64 beta 3)))

rewrite77.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify213.0ms (1.1%)

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

Useful iterations: 2 (0.0ms)

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

localize26.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))
✓0.1b
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
✓2.3b
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha)))
Compiler

Compiled 70 to 47 computations (32.9% saved)

series57.0ms (0.3%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
41.0ms
beta
@-inf
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
5.0ms
beta
@0
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha)))
2.0ms
alpha
@0
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
1.0ms
alpha
@-inf
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
1.0ms
beta
@0
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))

rewrite136.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
016117
1393117
26182117
Stop Event
1×node limit
Counts
3 → 151
Calls
Call 1
Inputs
(/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha)))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (*.f64 (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 alpha 1) (/.f64 1 (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 alpha 1) (*.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)) (+.f64 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simplify158.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1446×distribute-lft-in
1136×associate-*r*
982×*-commutative
948×+-commutative
934×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
074616895
1264416317
Stop Event
1×node limit
Counts
223 → 362
Calls
Call 1
Inputs
(/.f64 1/2 (+.f64 beta 2))
(+.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) alpha))
(+.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 4)) (+.f64 beta 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) alpha)))
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(/.f64 1 (pow.f64 alpha 2))
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(+.f64 (*.f64 (+.f64 alpha 2) alpha) (*.f64 (+.f64 alpha 2) (+.f64 beta 2)))
(+.f64 (*.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 2) (+.f64 alpha beta)))
(+.f64 (*.f64 (+.f64 beta 2) 2) (+.f64 (*.f64 alpha 2) (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (*.f64 (+.f64 alpha 2) (+.f64 beta 2)) (*.f64 (+.f64 alpha 2) alpha))
(+.f64 (*.f64 (+.f64 alpha 2) (+.f64 alpha beta)) (*.f64 (+.f64 alpha 2) 2))
(+.f64 (*.f64 2 (+.f64 beta 2)) (+.f64 (*.f64 alpha 2) (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (*.f64 2 (+.f64 alpha beta)) (+.f64 4 (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (*.f64 alpha (+.f64 alpha beta)) (+.f64 (*.f64 alpha 2) (+.f64 4 (*.f64 2 (+.f64 alpha beta)))))
(+.f64 (*.f64 alpha (+.f64 alpha 2)) (*.f64 (+.f64 beta 2) (+.f64 alpha 2)))
(+.f64 (*.f64 2 (+.f64 alpha 2)) (*.f64 (+.f64 alpha beta) (+.f64 alpha 2)))
(+.f64 (*.f64 (+.f64 4 (*.f64 2 (+.f64 alpha beta))) 1) (*.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1))
(+.f64 (*.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) 1) (*.f64 (+.f64 4 (*.f64 2 (+.f64 alpha beta))) 1))
(+.f64 (*.f64 (+.f64 beta 2) (+.f64 alpha 2)) (*.f64 alpha (+.f64 alpha 2)))
(+.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha 2)) (*.f64 2 (+.f64 alpha 2)))
(+.f64 (*.f64 (+.f64 alpha beta) 2) (+.f64 4 (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(+.f64 (*.f64 (+.f64 alpha beta) alpha) (+.f64 (*.f64 alpha 2) (+.f64 4 (*.f64 2 (+.f64 alpha beta)))))
(+.f64 (+.f64 (+.f64 4 (*.f64 2 (+.f64 alpha beta))) (*.f64 alpha alpha)) (*.f64 alpha (+.f64 beta 2)))
(+.f64 (+.f64 (+.f64 4 (*.f64 2 (+.f64 alpha beta))) (*.f64 alpha (+.f64 beta 2))) (*.f64 alpha alpha))
(+.f64 (+.f64 (+.f64 4 (*.f64 2 (+.f64 alpha beta))) (*.f64 alpha (+.f64 alpha beta))) (*.f64 alpha 2))
(+.f64 (+.f64 (+.f64 4 (*.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 alpha beta) alpha)) (*.f64 alpha 2))
(+.f64 (+.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 alpha 2)) (*.f64 (+.f64 beta 2) 2))
(+.f64 (+.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 alpha 2)) (*.f64 2 (+.f64 beta 2)))
(+.f64 (+.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 2) 2)) (*.f64 alpha 2))
(+.f64 (+.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 2 (+.f64 beta 2))) (*.f64 alpha 2))
(+.f64 (+.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 2 (+.f64 alpha beta))) 4)
(+.f64 (+.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 alpha beta) 2)) 4)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)))) 1)
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 alpha (-.f64 alpha 2))))
(/.f64 (*.f64 (+.f64 alpha 2) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (-.f64 alpha beta) 2))
(/.f64 (*.f64 (+.f64 alpha 2) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 alpha 2)) (-.f64 (-.f64 alpha beta) 2))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 alpha 2)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))
(/.f64 (*.f64 (-.f64 4 (*.f64 alpha alpha)) (+.f64 alpha (+.f64 beta 2))) (-.f64 2 alpha))
(/.f64 (*.f64 (+.f64 8 (pow.f64 alpha 3)) (+.f64 alpha (+.f64 beta 2))) (+.f64 4 (*.f64 alpha (-.f64 alpha 2))))
(/.f64 (-.f64 (*.f64 (+.f64 4 (*.f64 2 (+.f64 alpha beta))) (+.f64 4 (*.f64 2 (+.f64 alpha beta)))) (*.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (-.f64 (+.f64 4 (*.f64 2 (+.f64 alpha beta))) (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 4 (*.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 (*.f64 (+.f64 4 (*.f64 2 (+.f64 alpha beta))) (+.f64 4 (*.f64 2 (+.f64 alpha beta)))) (-.f64 (*.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (*.f64 (+.f64 4 (*.f64 2 (+.f64 alpha beta))) (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 4 (*.f64 alpha alpha))) (*.f64 (-.f64 (-.f64 alpha beta) 2) (-.f64 2 alpha)))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 8 (pow.f64 alpha 3))) (*.f64 (-.f64 (-.f64 alpha beta) 2) (+.f64 4 (*.f64 alpha (-.f64 alpha 2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (-.f64 4 (*.f64 alpha alpha))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (-.f64 2 alpha)))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 8 (pow.f64 alpha 3))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (+.f64 4 (*.f64 alpha (-.f64 alpha 2)))))
(/.f64 (*.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 2 alpha) (-.f64 (-.f64 alpha beta) 2)))
(/.f64 (*.f64 (-.f64 4 (*.f64 alpha alpha)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (-.f64 2 alpha) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 alpha 3)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 4 (*.f64 alpha (-.f64 alpha 2))) (-.f64 (-.f64 alpha beta) 2)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 alpha 3)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (+.f64 4 (*.f64 alpha (-.f64 alpha 2))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3) (pow.f64 (+.f64 alpha 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2))))
(exp.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2))))
(fma.f64 2 (+.f64 alpha (+.f64 beta 2)) (*.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(fma.f64 (+.f64 alpha (+.f64 beta 2)) 2 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))))
Outputs
(/.f64 1/2 (+.f64 beta 2))
(+.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) alpha))
(+.f64 (/.f64 1/2 (+.f64 beta 2)) (*.f64 (-.f64 (/.f64 1/2 (+.f64 beta 2)) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) alpha))
(+.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 4)) (+.f64 beta 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) alpha)))
(+.f64 (/.f64 1/2 (+.f64 beta 2)) (fma.f64 -1 (*.f64 (fma.f64 1/2 (/.f64 (-.f64 (/.f64 1/2 (+.f64 beta 2)) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (+.f64 beta 2) (+.f64 beta 4))) (/.f64 1/4 (pow.f64 (+.f64 beta 2) 2))) (*.f64 alpha alpha)) (*.f64 (-.f64 (/.f64 1/2 (+.f64 beta 2)) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) alpha)))
(+.f64 (/.f64 1/2 (+.f64 beta 2)) (fma.f64 -1 (*.f64 alpha (*.f64 alpha (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1/2 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 1 (*.f64 1/4 beta)) (pow.f64 (+.f64 beta 2) 3))) (+.f64 beta 4)) (/.f64 1/4 (pow.f64 (+.f64 beta 2) 2))))) (*.f64 (-.f64 (/.f64 1/2 (+.f64 beta 2)) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) alpha)))
(+.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 2))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 4)) (+.f64 beta 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 4)) (+.f64 beta 2)))) (pow.f64 alpha 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 4)) (+.f64 beta 2))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))) (pow.f64 alpha 2))) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 beta 2))) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) alpha))))
(+.f64 (/.f64 1/2 (+.f64 beta 2)) (fma.f64 -1 (*.f64 (fma.f64 1/2 (/.f64 (-.f64 (/.f64 1/2 (+.f64 beta 2)) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) (+.f64 beta 2)) (*.f64 -1/2 (/.f64 (fma.f64 1/2 (/.f64 (-.f64 (/.f64 1/2 (+.f64 beta 2)) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (+.f64 beta 2) (+.f64 beta 4))) (/.f64 1/4 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 beta 2) (+.f64 beta 4))))) (pow.f64 alpha 3)) (fma.f64 -1 (*.f64 (fma.f64 1/2 (/.f64 (-.f64 (/.f64 1/2 (+.f64 beta 2)) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (+.f64 beta 2) (+.f64 beta 4))) (/.f64 1/4 (pow.f64 (+.f64 beta 2) 2))) (*.f64 alpha alpha)) (*.f64 (-.f64 (/.f64 1/2 (+.f64 beta 2)) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) alpha))))
(+.f64 (/.f64 1/2 (+.f64 beta 2)) (fma.f64 -1 (*.f64 (fma.f64 1/2 (-.f64 (/.f64 1/2 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 1 (*.f64 1/4 beta)) (pow.f64 (+.f64 beta 2) 3))) (*.f64 -1/2 (/.f64 (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1/2 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 1 (*.f64 1/4 beta)) (pow.f64 (+.f64 beta 2) 3))) (+.f64 beta 4)) (/.f64 1/4 (pow.f64 (+.f64 beta 2) 2))) (/.f64 (+.f64 beta 2) (+.f64 beta 4))))) (pow.f64 alpha 3)) (fma.f64 -1 (*.f64 alpha (*.f64 alpha (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1/2 (pow.f64 (+.f64 beta 2) 2)) (/.f64 (+.f64 1 (*.f64 1/4 beta)) (pow.f64 (+.f64 beta 2) 3))) (+.f64 beta 4)) (/.f64 1/4 (pow.f64 (+.f64 beta 2) 2))))) (*.f64 (-.f64 (/.f64 1/2 (+.f64 beta 2)) (*.f64 1/4 (/.f64 (+.f64 beta 4) (pow.f64 (+.f64 beta 2) 2)))) alpha))))
(/.f64 1 alpha)
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (/.f64 1 alpha))
(fma.f64 -1 (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)) (/.f64 1 alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 4)))) (pow.f64 alpha 3))) (/.f64 1 alpha)))
(fma.f64 -1 (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 2 (+.f64 beta 2) (*.f64 (neg.f64 (+.f64 beta 3)) (+.f64 beta 4))) (pow.f64 alpha 3)) (/.f64 1 alpha)))
(fma.f64 -1 (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 2 (+.f64 beta 2) (*.f64 (+.f64 beta 4) (neg.f64 (+.f64 beta 3)))) (pow.f64 alpha 3)) (/.f64 1 alpha)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 3) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 beta 4) (+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 4)))))) (*.f64 -2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (pow.f64 alpha 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (+.f64 beta 2)) (*.f64 -1 (*.f64 (+.f64 beta 3) (+.f64 beta 4)))) (pow.f64 alpha 3))) (/.f64 1 alpha))))
(fma.f64 -1 (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (+.f64 beta 4) (fma.f64 2 (+.f64 beta 2) (*.f64 (neg.f64 (+.f64 beta 3)) (+.f64 beta 4)))) (*.f64 (+.f64 (*.f64 beta -2) -6) (+.f64 beta 2))) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (fma.f64 2 (+.f64 beta 2) (*.f64 (neg.f64 (+.f64 beta 3)) (+.f64 beta 4))) (pow.f64 alpha 3)) (/.f64 1 alpha))))
(fma.f64 -1 (/.f64 (+.f64 beta 3) (*.f64 alpha alpha)) (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (+.f64 beta 4) (fma.f64 2 (+.f64 beta 2) (*.f64 (+.f64 beta 4) (neg.f64 (+.f64 beta 3))))) (*.f64 (+.f64 beta 2) (+.f64 -6 (*.f64 beta -2)))) (pow.f64 alpha 4)) (fma.f64 -1 (/.f64 (fma.f64 2 (+.f64 beta 2) (*.f64 (+.f64 beta 4) (neg.f64 (+.f64 beta 3)))) (pow.f64 alpha 3)) (/.f64 1 alpha))))
(/.f64 1 alpha)
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2) (pow.f64 alpha 2))))
(-.f64 (+.f64 (/.f64 1 alpha) (/.f64 1 (*.f64 alpha alpha))) (neg.f64 (/.f64 (fma.f64 -1 (+.f64 beta 2) -2) (*.f64 alpha alpha))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (-.f64 (/.f64 1 alpha) (neg.f64 (/.f64 (+.f64 (*.f64 beta -1) -4) (*.f64 alpha alpha)))))
(-.f64 (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2))) (-.f64 (*.f64 -1 (+.f64 beta 2)) 2)) (pow.f64 alpha 3)) (/.f64 1 alpha)))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2) (pow.f64 alpha 2))))
(-.f64 (fma.f64 -2 (/.f64 (+.f64 beta 2) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 (-.f64 1 (neg.f64 (fma.f64 -1 (+.f64 beta 2) -2))) (/.f64 (pow.f64 alpha 3) (fma.f64 -1 (+.f64 beta 2) -2)))))) (neg.f64 (/.f64 (fma.f64 -1 (+.f64 beta 2) -2) (*.f64 alpha alpha))))
(-.f64 (fma.f64 -2 (/.f64 (+.f64 beta 2) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (*.f64 (/.f64 (+.f64 (*.f64 beta -1) -4) (pow.f64 alpha 3)) (-.f64 1 (neg.f64 (+.f64 (*.f64 beta -1) -4))))))) (neg.f64 (/.f64 (+.f64 (*.f64 beta -1) -4) (*.f64 alpha alpha))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2) (-.f64 1 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2)))) (*.f64 -2 (+.f64 beta 2))) (-.f64 (*.f64 -1 (+.f64 beta 2)) 2))) (*.f64 2 (*.f64 (+.f64 beta 2) (-.f64 1 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2)))))) (pow.f64 alpha 4))) (+.f64 (*.f64 -2 (/.f64 (+.f64 beta 2) (pow.f64 alpha 3))) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2) (-.f64 1 (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2)))) (pow.f64 alpha 3)) (/.f64 1 alpha))))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 beta 2)) 2) (pow.f64 alpha 2))))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (fma.f64 -1 (+.f64 beta 2) -2) (fma.f64 (fma.f64 -1 (+.f64 beta 2) -2) (-.f64 1 (neg.f64 (fma.f64 -1 (+.f64 beta 2) -2))) (+.f64 (*.f64 beta -2) -4))) (*.f64 (+.f64 (*.f64 beta 2) 4) (-.f64 1 (neg.f64 (fma.f64 -1 (+.f64 beta 2) -2))))) (pow.f64 alpha 4)) (fma.f64 -2 (/.f64 (+.f64 beta 2) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (/.f64 (-.f64 1 (neg.f64 (fma.f64 -1 (+.f64 beta 2) -2))) (/.f64 (pow.f64 alpha 3) (fma.f64 -1 (+.f64 beta 2) -2))))))) (neg.f64 (/.f64 (fma.f64 -1 (+.f64 beta 2) -2) (*.f64 alpha alpha))))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (+.f64 (*.f64 beta -1) -4) (fma.f64 (+.f64 (*.f64 beta -1) -4) (-.f64 1 (neg.f64 (+.f64 (*.f64 beta -1) -4))) (+.f64 -4 (*.f64 beta -2)))) (*.f64 (+.f64 4 (*.f64 beta 2)) (-.f64 1 (neg.f64 (+.f64 (*.f64 beta -1) -4))))) (pow.f64 alpha 4)) (fma.f64 -2 (/.f64 (+.f64 beta 2) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 1 alpha) (*.f64 (/.f64 (+.f64 (*.f64 beta -1) -4) (pow.f64 alpha 3)) (-.f64 1 (neg.f64 (+.f64 (*.f64 beta -1) -4)))))))) (neg.f64 (/.f64 (+.f64 (*.f64 beta -1) -4) (*.f64 alpha alpha))))
(/.f64 (+.f64 1 alpha) (pow.f64 (+.f64 2 alpha) 2))
(+.f64 (*.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3))))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))
(fma.f64 -1 (*.f64 beta (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 3)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 3)))) (+.f64 (/.f64 alpha (pow.f64 (+.f64 2 alpha) 2)) (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))
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(+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(+.f64 (+.f64 (+.f64 4 (*.f64 2 (+.f64 alpha beta))) (*.f64 alpha (+.f64 alpha beta))) (*.f64 alpha 2))
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(+.f64 (+.f64 (+.f64 4 (*.f64 2 (+.f64 alpha beta))) (*.f64 (+.f64 alpha beta) alpha)) (*.f64 alpha 2))
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(+.f64 (+.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 alpha 2)) (*.f64 (+.f64 beta 2) 2))
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(+.f64 (+.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 alpha 2)) (*.f64 2 (+.f64 beta 2)))
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(+.f64 (+.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 beta 2) 2)) (*.f64 alpha 2))
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(+.f64 (+.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 2 (+.f64 beta 2))) (*.f64 alpha 2))
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(+.f64 (+.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 2 (+.f64 alpha beta))) 4)
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(+.f64 (+.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 alpha beta) 2)) 4)
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)))) 1)
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (-.f64 4 (*.f64 alpha alpha))) (-.f64 2 alpha))
(/.f64 (+.f64 (+.f64 beta 2) alpha) (/.f64 (-.f64 2 alpha) (-.f64 4 (*.f64 alpha alpha))))
(*.f64 (/.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 2 alpha)) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 8 (pow.f64 alpha 3))) (+.f64 4 (*.f64 alpha (-.f64 alpha 2))))
(/.f64 (+.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))) (+.f64 (pow.f64 alpha 3) 8)))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (*.f64 (+.f64 alpha 2) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (-.f64 alpha beta) 2))
(/.f64 (+.f64 2 alpha) (/.f64 (+.f64 (-.f64 alpha beta) -2) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))
(*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 alpha (-.f64 beta -2))) (+.f64 2 alpha))
(/.f64 (*.f64 (+.f64 alpha 2) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (+.f64 2 alpha)))
(/.f64 (*.f64 (+.f64 2 alpha) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 alpha 2)) (-.f64 (-.f64 alpha beta) 2))
(/.f64 (+.f64 2 alpha) (/.f64 (+.f64 (-.f64 alpha beta) -2) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))))
(*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 alpha (-.f64 beta -2))) (+.f64 2 alpha))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 alpha 2)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (+.f64 2 alpha)))
(/.f64 (*.f64 (+.f64 2 alpha) (+.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 4 (*.f64 alpha alpha)) (+.f64 alpha (+.f64 beta 2))) (-.f64 2 alpha))
(/.f64 (+.f64 (+.f64 beta 2) alpha) (/.f64 (-.f64 2 alpha) (-.f64 4 (*.f64 alpha alpha))))
(*.f64 (/.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 2 alpha)) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 alpha 3)) (+.f64 alpha (+.f64 beta 2))) (+.f64 4 (*.f64 alpha (-.f64 alpha 2))))
(/.f64 (+.f64 (+.f64 beta 2) alpha) (/.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))) (+.f64 (pow.f64 alpha 3) 8)))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))) (+.f64 beta (+.f64 2 alpha)))
(/.f64 (-.f64 (*.f64 (+.f64 4 (*.f64 2 (+.f64 alpha beta))) (+.f64 4 (*.f64 2 (+.f64 alpha beta)))) (*.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 alpha (+.f64 alpha (+.f64 beta 2))))) (-.f64 (+.f64 4 (*.f64 2 (+.f64 alpha beta))) (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (*.f64 (+.f64 4 (fma.f64 alpha (+.f64 (+.f64 beta 2) alpha) (*.f64 2 (+.f64 beta alpha)))) (-.f64 (+.f64 4 (*.f64 2 (+.f64 beta alpha))) (*.f64 alpha (+.f64 (+.f64 beta 2) alpha)))) (-.f64 (+.f64 4 (*.f64 2 (+.f64 beta alpha))) (*.f64 alpha (+.f64 (+.f64 beta 2) alpha))))
(/.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha)) (/.f64 (-.f64 (+.f64 4 (*.f64 2 (+.f64 beta alpha))) (*.f64 alpha (+.f64 beta (+.f64 2 alpha)))) (-.f64 (+.f64 4 (*.f64 2 (+.f64 beta alpha))) (*.f64 alpha (+.f64 beta (+.f64 2 alpha))))))
(/.f64 (+.f64 (pow.f64 (+.f64 4 (*.f64 2 (+.f64 alpha beta))) 3) (pow.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) 3)) (+.f64 (*.f64 (+.f64 4 (*.f64 2 (+.f64 alpha beta))) (+.f64 4 (*.f64 2 (+.f64 alpha beta)))) (-.f64 (*.f64 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))) (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))) (*.f64 (+.f64 4 (*.f64 2 (+.f64 alpha beta))) (*.f64 alpha (+.f64 alpha (+.f64 beta 2)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 4 (*.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (*.f64 alpha (+.f64 (+.f64 beta 2) alpha)) 3)) (fma.f64 (+.f64 4 (*.f64 2 (+.f64 beta alpha))) (+.f64 4 (*.f64 2 (+.f64 beta alpha))) (*.f64 (*.f64 alpha (+.f64 (+.f64 beta 2) alpha)) (-.f64 (*.f64 alpha (+.f64 (+.f64 beta 2) alpha)) (+.f64 4 (*.f64 2 (+.f64 beta alpha)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 4 (*.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (*.f64 alpha (+.f64 beta (+.f64 2 alpha))) 3)) (fma.f64 (+.f64 4 (*.f64 2 (+.f64 beta alpha))) (+.f64 4 (*.f64 2 (+.f64 beta alpha))) (*.f64 alpha (*.f64 (+.f64 beta (+.f64 2 alpha)) (-.f64 (*.f64 alpha (+.f64 beta (+.f64 2 alpha))) (+.f64 4 (*.f64 2 (+.f64 beta alpha))))))))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 4 (*.f64 alpha alpha))) (*.f64 (-.f64 (-.f64 alpha beta) 2) (-.f64 2 alpha)))
(*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (-.f64 alpha beta) -2)) (/.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 2 alpha)))
(*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 alpha (-.f64 beta -2))) (/.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 2 alpha)))
(/.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 8 (pow.f64 alpha 3))) (*.f64 (-.f64 (-.f64 alpha beta) 2) (+.f64 4 (*.f64 alpha (-.f64 alpha 2)))))
(*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (-.f64 alpha beta) -2)) (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 alpha (-.f64 beta -2))) (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (-.f64 4 (*.f64 alpha alpha))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (-.f64 2 alpha)))
(*.f64 (/.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 2 alpha)) (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (/.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 2 alpha))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (+.f64 8 (pow.f64 alpha 3))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (+.f64 4 (*.f64 alpha (-.f64 alpha 2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))) (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(/.f64 (*.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 2 alpha) (-.f64 (-.f64 alpha beta) 2)))
(*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (-.f64 alpha beta) -2)) (/.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 2 alpha)))
(*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 alpha (-.f64 beta -2))) (/.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 2 alpha)))
(/.f64 (*.f64 (-.f64 4 (*.f64 alpha alpha)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (-.f64 2 alpha) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(*.f64 (/.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 2 alpha)) (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (/.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (/.f64 (-.f64 4 (*.f64 alpha alpha)) (-.f64 2 alpha))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 alpha 3)) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 4 (*.f64 alpha (-.f64 alpha 2))) (-.f64 (-.f64 alpha beta) 2)))
(*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (+.f64 (-.f64 alpha beta) -2)) (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(*.f64 (/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)) (-.f64 alpha (-.f64 beta -2))) (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 alpha 3)) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (+.f64 4 (*.f64 alpha (-.f64 alpha 2))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(/.f64 (*.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (*.f64 (+.f64 4 (*.f64 alpha (+.f64 alpha -2))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(*.f64 (/.f64 (+.f64 (pow.f64 alpha 3) 8) (+.f64 4 (*.f64 alpha (+.f64 alpha -2)))) (/.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha))))))
(pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)) 1)
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2))) 2)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 2 alpha))) 2)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2))) 3)
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(pow.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)) 3) 1/3)
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (+.f64 beta 2) alpha) (+.f64 2 alpha)) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 alpha (+.f64 beta 2))) (+.f64 alpha 2)))
(*.f64 (+.f64 2 alpha) (log.f64 (exp.f64 (+.f64 (+.f64 beta 2) alpha))))
(*.f64 (+.f64 2 alpha) (log.f64 (exp.f64 (+.f64 beta (+.f64 2 alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)))))
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2)) 3))
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3) (pow.f64 (+.f64 alpha 2) 3)))
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 3) (pow.f64 (+.f64 alpha (+.f64 beta 2)) 3)))
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2))))
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(exp.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2))))
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2))) 1))
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha 2))))
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(fma.f64 2 (+.f64 alpha (+.f64 beta 2)) (*.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))
(fma.f64 (+.f64 alpha (+.f64 beta 2)) 2 (*.f64 alpha (+.f64 alpha (+.f64 beta 2))))
(+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 beta (+.f64 2 alpha)))
(*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 2 alpha))

localize62.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (+.f64 beta 1) alpha)
0.0b
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
0.0b
(*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
✓3.7b
(/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
Compiler

Compiled 82 to 53 computations (35.4% saved)

series9.0ms (0%)

Counts
2 → 36
Calls

12 calls:

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

rewrite97.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1710×associate-/l/
440×+-commutative
434×associate-+r+
428×associate-+l+
400×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01668
138368
2608768
Stop Event
1×node limit
Counts
2 → 87
Calls
Call 1
Inputs
(/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(*.f64 (+.f64 beta 1) alpha)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (*.f64 alpha (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 alpha (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 alpha (*.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 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(pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) (+.f64 alpha (*.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 alpha (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 beta 1) (neg.f64 alpha)) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (neg.f64 (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 alpha (*.f64 alpha beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (+.f64 beta 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 alpha (*.f64 alpha beta))) 1) (/.f64 (sqrt.f64 (+.f64 alpha (*.f64 alpha beta))) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 alpha (*.f64 alpha beta))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (sqrt.f64 (+.f64 alpha (*.f64 alpha beta))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (*.f64 alpha beta))) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha 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*.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 2)) (/.f64 (+.f64 beta 1) (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 alpha (*.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 alpha (*.f64 alpha beta))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 (+.f64 alpha (*.f64 alpha beta))) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 alpha (*.f64 alpha beta))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 2)) (/.f64 (sqrt.f64 (+.f64 alpha (*.f64 alpha beta))) (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 alpha (*.f64 alpha beta))) (*.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 (+.f64 alpha (*.f64 alpha beta))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (*.f64 alpha beta))) 2) (+.f64 beta (+.f64 alpha 3))) (/.f64 (cbrt.f64 (+.f64 alpha (*.f64 alpha beta))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (*.f64 alpha beta))) 2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (cbrt.f64 (+.f64 alpha (*.f64 alpha beta))) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (*.f64 alpha beta))) 2) (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) (/.f64 (cbrt.f64 (+.f64 alpha (*.f64 alpha beta))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (*.f64 alpha beta))) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (*.f64 alpha beta))) 2) (*.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (+.f64 alpha (*.f64 alpha beta))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta (+.f64 alpha 3))))) (+.f64 beta (+.f64 alpha 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 alpha (*.f64 alpha beta)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 alpha (*.f64 alpha beta)) (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (neg.f64 (+.f64 beta (+.f64 alpha 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) alpha) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 alpha (*.f64 alpha beta))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 alpha (*.f64 beta alpha))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 alpha beta) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 beta alpha) alpha)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 alpha (*.f64 alpha beta)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 alpha)) (-.f64 1 (*.f64 alpha beta)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 alpha)) (-.f64 1 (*.f64 beta alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 alpha beta) (exp.f64 (log1p.f64 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 beta alpha) (exp.f64 (log1p.f64 alpha))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 alpha (*.f64 alpha beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 alpha (fma.f64 beta beta -1)) (+.f64 beta -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 alpha (+.f64 1 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 beta beta -1) alpha) (+.f64 beta -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) alpha) (fma.f64 beta beta (-.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 alpha (*.f64 alpha beta)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 alpha (*.f64 alpha beta))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 alpha (*.f64 alpha beta))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 alpha (*.f64 alpha beta)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 alpha (*.f64 alpha beta)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 alpha) (+.f64 beta 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (*.f64 alpha beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 alpha (*.f64 alpha beta)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 alpha (*.f64 alpha beta))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 alpha) (log1p.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 alpha) (log1p.f64 beta)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 alpha (*.f64 alpha beta))))))))

simplify136.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
840×distribute-lft-in
776×distribute-rgt-in
688×associate-*r*
668×times-frac
626×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045510265
115469499
278939463
Stop Event
1×node limit
Counts
123 → 188
Calls
Call 1
Inputs
(/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 beta (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) 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 7 (+.f64 alpha (*.f64 2 alpha))) alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 (*.f64 (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) 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 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 beta (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))))
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(/.f64 alpha (pow.f64 beta 2))
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(/.f64 alpha (pow.f64 beta 2))
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(/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
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(/.f64 (+.f64 beta 1) (pow.f64 alpha 2))
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alpha
(+.f64 (*.f64 beta alpha) alpha)
(+.f64 (*.f64 beta alpha) alpha)
(+.f64 (*.f64 beta alpha) alpha)
(*.f64 beta alpha)
(+.f64 (*.f64 beta alpha) alpha)
(+.f64 (*.f64 beta alpha) alpha)
(+.f64 (*.f64 beta alpha) alpha)
(*.f64 beta alpha)
(+.f64 (*.f64 beta alpha) alpha)
(+.f64 (*.f64 beta alpha) alpha)
(+.f64 (*.f64 beta alpha) alpha)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) alpha))) 1)
(*.f64 1 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) alpha))
(*.f64 (+.f64 beta 1) (*.f64 alpha (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(*.f64 (+.f64 beta 1) (/.f64 alpha (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(*.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) alpha))))
(*.f64 alpha (*.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(*.f64 (+.f64 alpha (*.f64 alpha beta)) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(*.f64 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) alpha) 1)
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta (+.f64 alpha 3))))) (+.f64 beta (+.f64 alpha 2))) (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta (+.f64 alpha 3))))) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (sqrt.f64 (+.f64 alpha (*.f64 alpha beta))) (*.f64 (sqrt.f64 (+.f64 alpha (*.f64 alpha beta))) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) alpha)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) alpha)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) alpha)) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) alpha)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (*.f64 alpha beta))) 2) (*.f64 (cbrt.f64 (+.f64 alpha (*.f64 alpha beta))) (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(*.f64 (*.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta (+.f64 alpha 3)))) (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) (+.f64 alpha (*.f64 alpha beta)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 alpha (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 alpha (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (*.f64 (+.f64 beta 1) (neg.f64 alpha)) (/.f64 1 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (neg.f64 (+.f64 beta (+.f64 alpha 3))))))
(*.f64 (/.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 alpha (*.f64 alpha beta)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (*.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) (/.f64 (+.f64 alpha (*.f64 alpha beta)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 2)) (/.f64 (+.f64 alpha (*.f64 alpha beta)) (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 alpha (*.f64 alpha beta)) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 alpha (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) alpha)
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (*.f64 alpha beta))) 1) (/.f64 (sqrt.f64 (+.f64 alpha (*.f64 alpha beta))) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (*.f64 alpha beta))) (+.f64 beta (+.f64 alpha 3))) (/.f64 (sqrt.f64 (+.f64 alpha (*.f64 alpha beta))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (*.f64 alpha beta))) 2) 1) (/.f64 (cbrt.f64 (+.f64 alpha (*.f64 alpha beta))) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 alpha (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) (/.f64 alpha (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))
(*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 2)) (/.f64 alpha (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))) (/.f64 alpha (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 alpha (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 2)) (/.f64 (+.f64 beta 1) (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(*.f64 (/.f64 alpha (*.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (*.f64 alpha beta))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (sqrt.f64 (+.f64 alpha (*.f64 alpha beta))) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (*.f64 alpha beta))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 2)) (/.f64 (sqrt.f64 (+.f64 alpha (*.f64 alpha beta))) (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 alpha (*.f64 alpha beta))) (*.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (sqrt.f64 (+.f64 alpha (*.f64 alpha beta))) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (*.f64 alpha beta))) 2) (+.f64 beta (+.f64 alpha 3))) (/.f64 (cbrt.f64 (+.f64 alpha (*.f64 alpha beta))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (*.f64 alpha beta))) 2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) (/.f64 (cbrt.f64 (+.f64 alpha (*.f64 alpha beta))) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (*.f64 alpha beta))) 2) (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))) (/.f64 (cbrt.f64 (+.f64 alpha (*.f64 alpha beta))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (+.f64 beta (+.f64 alpha 3))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (*.f64 alpha beta))) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) 2)) (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) alpha)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 alpha (*.f64 alpha beta))) 2) (*.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (+.f64 alpha (*.f64 alpha beta))) (+.f64 beta (+.f64 alpha 2))))
(pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) alpha) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 beta 1) (/.f64 alpha (+.f64 beta (+.f64 alpha 3))))) (+.f64 beta (+.f64 alpha 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) alpha)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) alpha) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 alpha (*.f64 alpha beta)))) -1)
(neg.f64 (/.f64 (+.f64 alpha (*.f64 alpha beta)) (*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (neg.f64 (+.f64 beta (+.f64 alpha 3))))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) alpha) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))) (/.f64 alpha (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) alpha))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) alpha) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (*.f64 alpha beta)) 3) (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) alpha)))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) alpha)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) alpha)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) alpha)))
(+.f64 alpha (*.f64 alpha beta))
(+.f64 alpha (*.f64 beta alpha))
(+.f64 (*.f64 alpha beta) alpha)
(+.f64 (*.f64 beta alpha) alpha)
(-.f64 (exp.f64 (log1p.f64 (+.f64 alpha (*.f64 alpha beta)))) 1)
(-.f64 (exp.f64 (log1p.f64 alpha)) (-.f64 1 (*.f64 alpha beta)))
(-.f64 (exp.f64 (log1p.f64 alpha)) (-.f64 1 (*.f64 beta alpha)))
(-.f64 (+.f64 (*.f64 alpha beta) (exp.f64 (log1p.f64 alpha))) 1)
(-.f64 (+.f64 (*.f64 beta alpha) (exp.f64 (log1p.f64 alpha))) 1)
(/.f64 (+.f64 alpha (*.f64 alpha beta)) 1)
(/.f64 (*.f64 alpha (fma.f64 beta beta -1)) (+.f64 beta -1))
(/.f64 (*.f64 alpha (+.f64 1 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 1 beta)))
(/.f64 (*.f64 (fma.f64 beta beta -1) alpha) (+.f64 beta -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) alpha) (fma.f64 beta beta (-.f64 1 beta)))
(pow.f64 (+.f64 alpha (*.f64 alpha beta)) 1)
(pow.f64 (sqrt.f64 (+.f64 alpha (*.f64 alpha beta))) 2)
(pow.f64 (cbrt.f64 (+.f64 alpha (*.f64 alpha beta))) 3)
(pow.f64 (pow.f64 (+.f64 alpha (*.f64 alpha beta)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 alpha (*.f64 alpha beta)) 2))
(log.f64 (pow.f64 (exp.f64 alpha) (+.f64 beta 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (*.f64 alpha beta)))))
(cbrt.f64 (pow.f64 (+.f64 alpha (*.f64 alpha beta)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 alpha 3)))
(cbrt.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 1) 3)))
(expm1.f64 (log1p.f64 (+.f64 alpha (*.f64 alpha beta))))
(exp.f64 (+.f64 (log.f64 alpha) (log1p.f64 beta)))
(exp.f64 (*.f64 (+.f64 (log.f64 alpha) (log1p.f64 beta)) 1))
(log1p.f64 (expm1.f64 (+.f64 alpha (*.f64 alpha beta))))
Outputs
(/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha)))
(/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)))
(/.f64 (/.f64 alpha (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2))
(+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 beta (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))))))
(+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (*.f64 beta (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2)))) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2)) alpha)))))
(fma.f64 beta (-.f64 (/.f64 (/.f64 alpha (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (fma.f64 (+.f64 alpha 3) (fma.f64 alpha 2 4) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 4) (/.f64 alpha (pow.f64 (+.f64 alpha 3) 2))))) (/.f64 (/.f64 alpha (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (/.f64 (*.f64 (+.f64 7 (+.f64 alpha (*.f64 2 alpha))) alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2))) (/.f64 (*.f64 (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) 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 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (*.f64 beta (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 2 alpha) 2) (+.f64 3 alpha))) (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 2 alpha) 2) (*.f64 (+.f64 3 alpha) (+.f64 4 (*.f64 2 alpha)))) alpha) (*.f64 (pow.f64 (+.f64 2 alpha) 4) (pow.f64 (+.f64 3 alpha) 2)))))))
(fma.f64 -1 (*.f64 (*.f64 beta beta) (+.f64 (*.f64 (/.f64 (+.f64 7 (*.f64 3 alpha)) (pow.f64 (+.f64 alpha 2) 4)) (/.f64 alpha (pow.f64 (+.f64 alpha 3) 2))) (/.f64 (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2)))) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2)) alpha))) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3)) (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2)))))))) (+.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (*.f64 beta (-.f64 (/.f64 alpha (*.f64 (pow.f64 (+.f64 alpha 2) 2) (+.f64 alpha 3))) (/.f64 (+.f64 (pow.f64 (+.f64 alpha 2) 2) (*.f64 (+.f64 alpha 3) (+.f64 4 (*.f64 alpha 2)))) (/.f64 (*.f64 (pow.f64 (+.f64 alpha 2) 4) (pow.f64 (+.f64 alpha 3) 2)) alpha))))))
(-.f64 (fma.f64 beta (-.f64 (/.f64 (/.f64 alpha (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (fma.f64 (+.f64 alpha 3) (fma.f64 alpha 2 4) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 4) (/.f64 alpha (pow.f64 (+.f64 alpha 3) 2))))) (/.f64 (/.f64 alpha (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2))) (*.f64 (*.f64 beta beta) (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 alpha (+.f64 alpha 3)) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (fma.f64 (+.f64 alpha 3) (fma.f64 alpha 2 4) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (pow.f64 (+.f64 alpha 2) 4) (/.f64 alpha (pow.f64 (+.f64 alpha 3) 2))))) (pow.f64 (+.f64 alpha 2) 2)) (/.f64 (fma.f64 (+.f64 alpha 3) (fma.f64 alpha 2 4) (pow.f64 (+.f64 alpha 2) 2)) (+.f64 alpha 3)) (*.f64 (/.f64 alpha (pow.f64 (+.f64 alpha 3) 2)) (/.f64 (fma.f64 3 alpha 7) (pow.f64 (+.f64 alpha 2) 4))))))
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alpha
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(log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3)))) (/.f64 alpha (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))
(/.f64 (fma.f64 alpha beta alpha) (*.f64 (+.f64 (+.f64 beta alpha) 3) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)))
(/.f64 (fma.f64 alpha beta alpha) (*.f64 (+.f64 alpha (+.f64 3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) alpha))))
(/.f64 (fma.f64 alpha beta alpha) (*.f64 (+.f64 (+.f64 beta alpha) 3) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)))
(/.f64 (fma.f64 alpha beta alpha) (*.f64 (+.f64 alpha (+.f64 3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) alpha) 3))
(/.f64 (fma.f64 alpha beta alpha) (*.f64 (+.f64 (+.f64 beta alpha) 3) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)))
(/.f64 (fma.f64 alpha beta alpha) (*.f64 (+.f64 alpha (+.f64 3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 alpha (*.f64 alpha beta)) 3) (pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2)) 3)))
(/.f64 (fma.f64 alpha beta alpha) (*.f64 (+.f64 (+.f64 beta alpha) 3) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)))
(/.f64 (fma.f64 alpha beta alpha) (*.f64 (+.f64 alpha (+.f64 3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) alpha)))
(/.f64 (fma.f64 alpha beta alpha) (*.f64 (+.f64 (+.f64 beta alpha) 3) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)))
(/.f64 (fma.f64 alpha beta alpha) (*.f64 (+.f64 alpha (+.f64 3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) alpha)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 (+.f64 beta alpha) 3) (/.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2) alpha)))))
(/.f64 (exp.f64 (log1p.f64 beta)) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (/.f64 alpha (+.f64 alpha (+.f64 3 beta)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 beta (+.f64 alpha 3)) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) alpha)))) 1))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 (+.f64 beta alpha) 3) (/.f64 (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2) alpha)))))
(/.f64 (exp.f64 (log1p.f64 beta)) (/.f64 (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2) (/.f64 alpha (+.f64 alpha (+.f64 3 beta)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 alpha 3)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))) alpha)))
(/.f64 (fma.f64 alpha beta alpha) (*.f64 (+.f64 (+.f64 beta alpha) 3) (pow.f64 (+.f64 (+.f64 alpha 2) beta) 2)))
(/.f64 (fma.f64 alpha beta alpha) (*.f64 (+.f64 alpha (+.f64 3 beta)) (pow.f64 (+.f64 2 (+.f64 alpha beta)) 2)))
(+.f64 alpha (*.f64 alpha beta))
(fma.f64 alpha beta alpha)
(+.f64 alpha (*.f64 beta alpha))
(fma.f64 alpha beta alpha)
(+.f64 (*.f64 alpha beta) alpha)
(fma.f64 alpha beta alpha)
(+.f64 (*.f64 beta alpha) alpha)
(fma.f64 alpha beta alpha)
(-.f64 (exp.f64 (log1p.f64 (+.f64 alpha (*.f64 alpha beta)))) 1)
(fma.f64 alpha beta alpha)
(-.f64 (exp.f64 (log1p.f64 alpha)) (-.f64 1 (*.f64 alpha beta)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 alpha)) 1) (*.f64 alpha beta))
(fma.f64 alpha beta (expm1.f64 (log1p.f64 alpha)))
(-.f64 (exp.f64 (log1p.f64 alpha)) (-.f64 1 (*.f64 beta alpha)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 alpha)) 1) (*.f64 alpha beta))
(fma.f64 alpha beta (expm1.f64 (log1p.f64 alpha)))
(-.f64 (+.f64 (*.f64 alpha beta) (exp.f64 (log1p.f64 alpha))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 alpha)) 1) (*.f64 alpha beta))
(fma.f64 alpha beta (expm1.f64 (log1p.f64 alpha)))
(-.f64 (+.f64 (*.f64 beta alpha) (exp.f64 (log1p.f64 alpha))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 alpha)) 1) (*.f64 alpha beta))
(fma.f64 alpha beta (expm1.f64 (log1p.f64 alpha)))
(/.f64 (+.f64 alpha (*.f64 alpha beta)) 1)
(fma.f64 alpha beta alpha)
(/.f64 (*.f64 alpha (fma.f64 beta beta -1)) (+.f64 beta -1))
(/.f64 (fma.f64 beta beta -1) (/.f64 (+.f64 beta -1) alpha))
(*.f64 (/.f64 alpha (+.f64 beta -1)) (fma.f64 beta beta -1))
(/.f64 (*.f64 alpha (+.f64 1 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 1 beta)))
(/.f64 (+.f64 (pow.f64 beta 3) 1) (/.f64 (fma.f64 beta beta (-.f64 1 beta)) alpha))
(*.f64 (/.f64 alpha (fma.f64 beta beta (-.f64 1 beta))) (+.f64 (pow.f64 beta 3) 1))
(/.f64 (*.f64 (fma.f64 beta beta -1) alpha) (+.f64 beta -1))
(/.f64 (fma.f64 beta beta -1) (/.f64 (+.f64 beta -1) alpha))
(*.f64 (/.f64 alpha (+.f64 beta -1)) (fma.f64 beta beta -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 beta 3)) alpha) (fma.f64 beta beta (-.f64 1 beta)))
(/.f64 (+.f64 (pow.f64 beta 3) 1) (/.f64 (fma.f64 beta beta (-.f64 1 beta)) alpha))
(*.f64 (/.f64 alpha (fma.f64 beta beta (-.f64 1 beta))) (+.f64 (pow.f64 beta 3) 1))
(pow.f64 (+.f64 alpha (*.f64 alpha beta)) 1)
(fma.f64 alpha beta alpha)
(pow.f64 (sqrt.f64 (+.f64 alpha (*.f64 alpha beta))) 2)
(fma.f64 alpha beta alpha)
(pow.f64 (cbrt.f64 (+.f64 alpha (*.f64 alpha beta))) 3)
(fma.f64 alpha beta alpha)
(pow.f64 (pow.f64 (+.f64 alpha (*.f64 alpha beta)) 3) 1/3)
(fma.f64 alpha beta alpha)
(sqrt.f64 (pow.f64 (+.f64 alpha (*.f64 alpha beta)) 2))
(sqrt.f64 (pow.f64 (fma.f64 alpha beta alpha) 2))
(fabs.f64 (fma.f64 alpha beta alpha))
(log.f64 (pow.f64 (exp.f64 alpha) (+.f64 beta 1)))
(fma.f64 alpha beta alpha)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 alpha (*.f64 alpha beta)))))
(fma.f64 alpha beta alpha)
(cbrt.f64 (pow.f64 (+.f64 alpha (*.f64 alpha beta)) 3))
(fma.f64 alpha beta alpha)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 alpha 3)))
(fma.f64 alpha beta alpha)
(cbrt.f64 (*.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 1) 3)))
(fma.f64 alpha beta alpha)
(expm1.f64 (log1p.f64 (+.f64 alpha (*.f64 alpha beta))))
(fma.f64 alpha beta alpha)
(exp.f64 (+.f64 (log.f64 alpha) (log1p.f64 beta)))
(exp.f64 (+.f64 (log1p.f64 beta) (log.f64 alpha)))
(*.f64 alpha (exp.f64 (log1p.f64 beta)))
(exp.f64 (*.f64 (+.f64 (log.f64 alpha) (log1p.f64 beta)) 1))
(exp.f64 (+.f64 (log1p.f64 beta) (log.f64 alpha)))
(*.f64 alpha (exp.f64 (log1p.f64 beta)))
(log1p.f64 (expm1.f64 (+.f64 alpha (*.f64 alpha beta))))
(fma.f64 alpha beta alpha)

eval1.5s (8%)

Compiler

Compiled 67147 to 48553 computations (27.7% saved)

prune666.0ms (3.5%)

Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New1543141557
Fresh4913
Picked101
Done134
Total1549261575
Error
0b
Counts
1575 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
29.1b
(pow.f64 beta -2)
28.0b
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 alpha (+.f64 beta 2))))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 alpha (+.f64 beta 2)))))
2.5b
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
▶2.5b
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
22.7b
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
✓12.8b
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
27.5b
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
62.9b
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
12.8b
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
▶62.0b
(/.f64 (/.f64 1 alpha) (+.f64 3 alpha))
▶13.0b
(/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))
5.9b
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
24.3b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
✓28.8b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
✓0.1b
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
2.2b
(/.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
41.7b
(/.f64 (*.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
40.3b
(/.f64 alpha (*.f64 beta beta))
62.0b
(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
29.4b
(/.f64 1 (*.f64 beta beta))
62.1b
(/.f64 1 (*.f64 alpha alpha))
▶62.4b
(/.f64 1 alpha)
13.2b
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
▶0.1b
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
28.0b
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
28.8b
(*.f64 (neg.f64 (+.f64 1 alpha)) (/.f64 1 (*.f64 beta (neg.f64 beta))))
Compiler

Compiled 795 to 565 computations (28.9% saved)

localize55.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiled 104 to 71 computations (31.7% saved)

series17.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite135.0ms (0.7%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
018184
1442172
26965172
Stop Event
1×node limit
Counts
4 → 176
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta)))
(/.f64 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 2)))
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 alpha (+.f64 3 beta)) (*.f64 (+.f64 1 alpha) (+.f64 1 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 alpha (+.f64 3 beta)) (*.f64 (+.f64 1 alpha) (+.f64 1 beta)))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 alpha) (*.f64 (+.f64 beta (+.f64 alpha 2)) (*.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta)) (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 alpha) (*.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta)) (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))) (/.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))) (+.f64 beta (+.f64 alpha 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 alpha (+.f64 3 beta)) (*.f64 (+.f64 1 alpha) (+.f64 1 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)))) 2) (/.f64 (+.f64 beta (+.f64 alpha 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 alpha (+.f64 3 beta)) (*.f64 (+.f64 1 alpha) (+.f64 1 beta)))) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 alpha (+.f64 3 beta)) (*.f64 (+.f64 1 alpha) (+.f64 1 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 -1 (neg.f64 beta))) (*.f64 (+.f64 beta (+.f64 alpha 2)) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 -1 (neg.f64 beta))) (*.f64 (neg.f64 (+.f64 beta (+.f64 alpha 2))) (+.f64 beta (+.f64 alpha 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 -1 (neg.f64 beta))) (neg.f64 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simplify268.0ms (1.4%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0103128068
1367627792
Stop Event
1×node limit
Counts
272 → 474
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))
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(+.f64 beta 1)
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(/.f64 (+.f64 1 alpha) (+.f64 3 alpha))
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(+.f64 1 alpha)
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
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(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))) (pow.f64 alpha 2)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 5 (*.f64 2 beta)) (-.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))))) (*.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))) (pow.f64 alpha 3))) (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha))))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 5 (*.f64 2 beta))) (pow.f64 alpha 2)))
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(/.f64 (+.f64 beta 1) alpha)
(-.f64 (+.f64 (/.f64 beta (pow.f64 alpha 2)) (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 alpha)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 -1 (+.f64 beta 2)) (*.f64 -1 (+.f64 beta 3)))) (pow.f64 alpha 2))))
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(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
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(/.f64 (+.f64 1 alpha) beta)
(-.f64 (+.f64 (/.f64 1 beta) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 alpha beta) (/.f64 alpha (pow.f64 beta 2))))) (/.f64 (*.f64 (+.f64 1 alpha) (+.f64 5 (*.f64 2 alpha))) (pow.f64 beta 2)))
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(/.f64 (+.f64 1 alpha) beta)
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(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) 1) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 alpha (+.f64 3 beta))) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (/.f64 1 (+.f64 1 beta))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 alpha)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta))) 2)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 alpha (+.f64 3 beta))) (/.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 alpha (+.f64 3 beta)) (+.f64 1 beta)))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (sqrt.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta))) 2)) (cbrt.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))))
(pow.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (*.f64 (+.f64 1 alpha) (+.f64 1 beta))) -1)
(neg.f64 (/.f64 (+.f64 1 alpha) (neg.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta)))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 1 alpha)) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))))
(exp.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2))) (log1p.f64 beta))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (-.f64 (log1p.f64 (+.f64 beta (+.f64 alpha 2))) (log1p.f64 beta))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))))) 1)
(*.f64 1 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))))
(*.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (+.f64 1 alpha) (/.f64 1 (*.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta)) (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))) (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))) 1)
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))) (*.f64 (sqrt.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)))) (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)))) 1))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)))) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)))) 2) (*.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)))) 1))
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (*.f64 (+.f64 1 beta) (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (+.f64 -1 (neg.f64 beta))) (/.f64 1 (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (*.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2)) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2))
(*.f64 (*.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))) (cbrt.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (+.f64 1 alpha) 1) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))
(*.f64 (/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 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 (sqrt.f64 (+.f64 1 alpha)) (+.f64 beta (+.f64 alpha 2))) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 alpha)) 2) (+.f64 beta (+.f64 alpha 2))) (/.f64 (cbrt.f64 (+.f64 1 alpha)) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta))))
(*.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))) 1) (/.f64 (sqrt.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) 1) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (+.f64 1 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))) 3) 1/3)
(pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 alpha (+.f64 3 beta)) (*.f64 (+.f64 1 alpha) (+.f64 1 beta)))) -1)
(neg.f64 (/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))) 3) (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta)) (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta)) (+.f64 beta (+.f64 alpha 2))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 1)
(*.f64 1 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (cbrt.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -1) (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) -1)
(pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
Outputs
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha)))
(+.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 alpha (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4)))))))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) alpha) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 (pow.f64 (+.f64 beta 2) 2) (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (*.f64 (+.f64 beta 3) (+.f64 4 (*.f64 2 beta))) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta (+.f64 7 (*.f64 2 beta)))) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (pow.f64 alpha 2))))))
(+.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2))) (fma.f64 (+.f64 (/.f64 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 (*.f64 alpha alpha) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (-.f64 (/.f64 (/.f64 beta (+.f64 beta 3)) (pow.f64 (+.f64 beta 2) 2)) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 4))))) (+.f64 beta 3)) (/.f64 (fma.f64 (+.f64 beta 3) (*.f64 2 (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 (+.f64 beta 2) 2))) (*.f64 (/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 3) 2)) (/.f64 (+.f64 (+.f64 beta 7) (*.f64 beta 2)) (pow.f64 (+.f64 beta 2) 4))))))))
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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 1 alpha) beta)
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(/.f64 1 alpha)
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(/.f64 1 alpha)
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(/.f64 1 beta)
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(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha))) (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (+.f64 1 alpha) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) (/.f64 (+.f64 1 alpha) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 3) alpha)))))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) (+.f64 beta (+.f64 3 alpha)))) (/.f64 (+.f64 beta 1) (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))) 1) (/.f64 (sqrt.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)) (+.f64 (+.f64 beta 3) alpha)))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta (+.f64 3 alpha)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (sqrt.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) (/.f64 (+.f64 1 alpha) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 3) alpha)))))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) (+.f64 beta (+.f64 3 alpha)))) (/.f64 (+.f64 beta 1) (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)) (+.f64 (+.f64 beta 3) alpha)))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta (+.f64 3 alpha)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (/.f64 (+.f64 beta 1) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (+.f64 (+.f64 beta 3) alpha))))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha))) (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta))))) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)) (+.f64 (+.f64 beta 3) alpha)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha)))) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)))
(*.f64 (cbrt.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta (+.f64 3 alpha)))))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha))))) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) 1) (/.f64 (+.f64 1 beta) (+.f64 beta (+.f64 alpha 2))))
(/.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)) (+.f64 (+.f64 beta 3) alpha)))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta (+.f64 3 alpha)))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))) (/.f64 (+.f64 1 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 (+.f64 1 alpha) (sqrt.f64 (+.f64 beta (+.f64 2 alpha)))) (/.f64 (+.f64 beta 1) (*.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) (+.f64 (+.f64 beta 3) alpha))))
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha))) (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))) (sqrt.f64 (+.f64 beta (+.f64 2 alpha))))
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2)) (/.f64 (+.f64 1 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) (/.f64 (+.f64 1 alpha) (/.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 3) alpha)))))
(*.f64 (/.f64 (+.f64 1 alpha) (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2) (+.f64 beta (+.f64 3 alpha)))) (/.f64 (+.f64 beta 1) (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))) 1)
(/.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)) (+.f64 (+.f64 beta 3) alpha)))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta (+.f64 3 alpha)))))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)))) 2)
(/.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)) (+.f64 (+.f64 beta 3) alpha)))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta (+.f64 3 alpha)))))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)))) 3)
(/.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)) (+.f64 (+.f64 beta 3) alpha)))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta (+.f64 3 alpha)))))
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))) 3) 1/3)
(/.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)) (+.f64 (+.f64 beta 3) alpha)))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta (+.f64 3 alpha)))))
(pow.f64 (*.f64 (+.f64 beta (+.f64 alpha 2)) (/.f64 (+.f64 alpha (+.f64 3 beta)) (*.f64 (+.f64 1 alpha) (+.f64 1 beta)))) -1)
(/.f64 1 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (+.f64 (+.f64 beta 3) alpha) (*.f64 (+.f64 beta 1) (+.f64 1 alpha)))))
(/.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 beta (+.f64 3 alpha)) (*.f64 (+.f64 beta 1) (+.f64 1 alpha))))
(neg.f64 (/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))) (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 (neg.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha)))) (neg.f64 (+.f64 beta (+.f64 2 alpha))))
(/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 3 alpha)))) (+.f64 (neg.f64 beta) (-.f64 -2 alpha)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)) (+.f64 (+.f64 beta 3) alpha))) 2))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta (+.f64 3 alpha))))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)))))
(/.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)) (+.f64 (+.f64 beta 3) alpha)))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta (+.f64 3 alpha)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))))))
(/.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)) (+.f64 (+.f64 beta 3) alpha)))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta (+.f64 3 alpha)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta))) 3))
(/.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)) (+.f64 (+.f64 beta 3) alpha)))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta (+.f64 3 alpha)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))) 3) (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3)))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3)) (pow.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))) 3)))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3)) (pow.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha)))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 3 beta)))) 3) (pow.f64 (+.f64 beta (+.f64 alpha 2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta 3) alpha))) 3) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 beta 1) (/.f64 (+.f64 1 alpha) (+.f64 beta (+.f64 3 alpha)))) 3) (pow.f64 (+.f64 beta (+.f64 2 alpha)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)))))
(/.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)) (+.f64 (+.f64 beta 3) alpha)))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta (+.f64 3 alpha)))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta)) (+.f64 beta (+.f64 alpha 2))))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta 1))))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta 1))))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta)) (+.f64 beta (+.f64 alpha 2))))) 1))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (+.f64 (+.f64 beta 3) alpha) (+.f64 beta 1))))))
(exp.f64 (-.f64 (log1p.f64 alpha) (log.f64 (*.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (+.f64 beta (+.f64 3 alpha)) (+.f64 beta 1))))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 3 beta))) (/.f64 (+.f64 beta (+.f64 alpha 2)) (+.f64 1 beta)))))
(/.f64 (+.f64 1 alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 1)) (+.f64 (+.f64 beta 3) alpha)))
(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta (+.f64 3 alpha)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))) 1)
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(*.f64 1 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)) (cbrt.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2)) (cbrt.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2)) (cbrt.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha)))))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(*.f64 (/.f64 1 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2))) (-.f64 alpha (+.f64 beta 2)))
(/.f64 (*.f64 1 (-.f64 alpha (+.f64 beta 2))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 2) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (-.f64 (+.f64 beta 2) alpha))))
(*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))) (/.f64 1 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 2 (-.f64 beta alpha)))) (/.f64 1 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -1) (pow.f64 (sqrt.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(pow.f64 (sqrt.f64 (+.f64 beta (+.f64 2 alpha))) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 2 alpha))) 2)) (/.f64 1 (cbrt.f64 (+.f64 beta (+.f64 2 alpha)))))
(pow.f64 (+.f64 beta (+.f64 alpha 2)) -1)
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 1)
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -1/2) 2)
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))) 3)
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3) 1/3)
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2))
(sqrt.f64 (pow.f64 (+.f64 beta (+.f64 2 alpha)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))))))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2))) 3))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(exp.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(exp.f64 (*.f64 (log.f64 (+.f64 beta (+.f64 alpha 2))) -1))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 beta (+.f64 alpha 2)))) 1))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 2)))))
(/.f64 1 (+.f64 beta (+.f64 2 alpha)))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 (/.f64 1 alpha) (+.f64 3 alpha))
Compiler

Compiled 18 to 13 computations (27.8% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite59.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
1872×add-sqr-sqrt
1848×*-un-lft-identity
1738×add-cube-cbrt
1720×add-cbrt-cube
170×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
117719
2231319
Stop Event
1×node limit
Counts
1 → 34
Calls
Call 1
Inputs
(/.f64 (/.f64 1 alpha) (+.f64 3 alpha))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 alpha -1/2) (sqrt.f64 (+.f64 alpha 3))) (/.f64 (pow.f64 alpha -1/2) (sqrt.f64 (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 alpha -1/2) (*.f64 (pow.f64 alpha -1/2) (/.f64 1 (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3))) 2) (cbrt.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 alpha -2)) (*.f64 (/.f64 1 (cbrt.f64 alpha)) (/.f64 1 (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha 3)) (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 alpha) (/.f64 1 (+.f64 (neg.f64 alpha) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 3))) (/.f64 (/.f64 1 alpha) (sqrt.f64 (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2)) (/.f64 (/.f64 1 alpha) (cbrt.f64 (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 alpha) (-.f64 9 (*.f64 alpha alpha))) (-.f64 3 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 alpha) (+.f64 27 (pow.f64 alpha 3))) (+.f64 9 (*.f64 alpha (-.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 alpha -1/2) 1) (/.f64 (pow.f64 alpha -1/2) (+.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 alpha -1/2) (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2)) (/.f64 (pow.f64 alpha -1/2) (cbrt.f64 (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 alpha -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 alpha)) (+.f64 alpha 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 alpha -2)) (sqrt.f64 (+.f64 alpha 3))) (/.f64 (/.f64 1 (cbrt.f64 alpha)) (sqrt.f64 (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 alpha -2)) (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2)) (cbrt.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 alpha -1/2) (sqrt.f64 (+.f64 alpha 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 alpha (+.f64 alpha 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 alpha) (+.f64 (neg.f64 alpha) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 alpha -2) (pow.f64 (+.f64 alpha 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 alpha (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 alpha (+.f64 alpha 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3))))))))

simplify79.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1314×distribute-lft-in
1296×distribute-rgt-in
828×associate-*r/
694×associate-/l*
546×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01341304
13731244
211931166
351361166
Stop Event
1×node limit
Counts
46 → 77
Calls
Call 1
Inputs
(/.f64 1/3 alpha)
(-.f64 (*.f64 1/3 (/.f64 1 alpha)) 1/9)
(-.f64 (+.f64 (*.f64 1/27 alpha) (*.f64 1/3 (/.f64 1 alpha))) 1/9)
(-.f64 (+.f64 (*.f64 -1/81 (pow.f64 alpha 2)) (+.f64 (*.f64 1/27 alpha) (*.f64 1/3 (/.f64 1 alpha)))) 1/9)
(/.f64 1 (pow.f64 alpha 2))
(-.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 3 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (+.f64 (*.f64 9 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (*.f64 3 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (+.f64 (*.f64 9 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 27 (/.f64 1 (pow.f64 alpha 5))) (*.f64 3 (/.f64 1 (pow.f64 alpha 3)))))
(/.f64 1 (pow.f64 alpha 2))
(-.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 3 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (+.f64 (*.f64 9 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (*.f64 3 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (+.f64 (*.f64 9 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 27 (/.f64 1 (pow.f64 alpha 5))) (*.f64 3 (/.f64 1 (pow.f64 alpha 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3)))) 1)
(*.f64 1 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3)))
(*.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 3)))
(*.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3)) 1)
(*.f64 (/.f64 (pow.f64 alpha -1/2) (sqrt.f64 (+.f64 alpha 3))) (/.f64 (pow.f64 alpha -1/2) (sqrt.f64 (+.f64 alpha 3))))
(*.f64 (pow.f64 alpha -1/2) (*.f64 (pow.f64 alpha -1/2) (/.f64 1 (+.f64 alpha 3))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3))) 2) (cbrt.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3))))
(*.f64 (cbrt.f64 (pow.f64 alpha -2)) (*.f64 (/.f64 1 (cbrt.f64 alpha)) (/.f64 1 (+.f64 alpha 3))))
(*.f64 (/.f64 1 (+.f64 alpha 3)) (/.f64 1 alpha))
(*.f64 (/.f64 -1 alpha) (/.f64 1 (+.f64 (neg.f64 alpha) -3)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 3))) (/.f64 (/.f64 1 alpha) (sqrt.f64 (+.f64 alpha 3))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2)) (/.f64 (/.f64 1 alpha) (cbrt.f64 (+.f64 alpha 3))))
(*.f64 (/.f64 (/.f64 1 alpha) (-.f64 9 (*.f64 alpha alpha))) (-.f64 3 alpha))
(*.f64 (/.f64 (/.f64 1 alpha) (+.f64 27 (pow.f64 alpha 3))) (+.f64 9 (*.f64 alpha (-.f64 alpha 3))))
(*.f64 (/.f64 (pow.f64 alpha -1/2) 1) (/.f64 (pow.f64 alpha -1/2) (+.f64 alpha 3)))
(*.f64 (/.f64 (pow.f64 alpha -1/2) (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2)) (/.f64 (pow.f64 alpha -1/2) (cbrt.f64 (+.f64 alpha 3))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 alpha -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 alpha)) (+.f64 alpha 3)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 alpha -2)) (sqrt.f64 (+.f64 alpha 3))) (/.f64 (/.f64 1 (cbrt.f64 alpha)) (sqrt.f64 (+.f64 alpha 3))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 alpha -2)) (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2)) (cbrt.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3))))
(pow.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3)) 1)
(pow.f64 (/.f64 (pow.f64 alpha -1/2) (sqrt.f64 (+.f64 alpha 3))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3)) 3) 1/3)
(pow.f64 (*.f64 alpha (+.f64 alpha 3)) -1)
(neg.f64 (/.f64 (/.f64 1 alpha) (+.f64 (neg.f64 alpha) -3)))
(sqrt.f64 (/.f64 (pow.f64 alpha -2) (pow.f64 (+.f64 alpha 3) 2)))
(log.f64 (exp.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3)) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3))))
(exp.f64 (neg.f64 (log.f64 (*.f64 alpha (+.f64 alpha 3)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 alpha (+.f64 alpha 3)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3))))
Outputs
(/.f64 1/3 alpha)
(-.f64 (*.f64 1/3 (/.f64 1 alpha)) 1/9)
(+.f64 (/.f64 1/3 alpha) -1/9)
(-.f64 (+.f64 (*.f64 1/27 alpha) (*.f64 1/3 (/.f64 1 alpha))) 1/9)
(+.f64 (fma.f64 1/27 alpha (/.f64 1/3 alpha)) -1/9)
(+.f64 (fma.f64 alpha 1/27 (/.f64 1/3 alpha)) -1/9)
(+.f64 (/.f64 1/3 alpha) (fma.f64 alpha 1/27 -1/9))
(-.f64 (+.f64 (*.f64 -1/81 (pow.f64 alpha 2)) (+.f64 (*.f64 1/27 alpha) (*.f64 1/3 (/.f64 1 alpha)))) 1/9)
(+.f64 (fma.f64 -1/81 (*.f64 alpha alpha) (fma.f64 1/27 alpha (/.f64 1/3 alpha))) -1/9)
(+.f64 (fma.f64 -1/81 (*.f64 alpha alpha) (fma.f64 alpha 1/27 (/.f64 1/3 alpha))) -1/9)
(+.f64 (fma.f64 alpha 1/27 (/.f64 1/3 alpha)) (fma.f64 alpha (*.f64 alpha -1/81) -1/9))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(-.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 3 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 3 (pow.f64 alpha 3)))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 -3 (pow.f64 alpha 3)))
(+.f64 (pow.f64 alpha -2) (/.f64 -3 (pow.f64 alpha 3)))
(-.f64 (+.f64 (*.f64 9 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (*.f64 3 (/.f64 1 (pow.f64 alpha 3))))
(+.f64 (/.f64 9 (pow.f64 alpha 4)) (-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 3 (pow.f64 alpha 3))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 9 (pow.f64 alpha 4)) (/.f64 -3 (pow.f64 alpha 3))))
(+.f64 (pow.f64 alpha -2) (+.f64 (/.f64 9 (pow.f64 alpha 4)) (/.f64 -3 (pow.f64 alpha 3))))
(-.f64 (+.f64 (*.f64 9 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 27 (/.f64 1 (pow.f64 alpha 5))) (*.f64 3 (/.f64 1 (pow.f64 alpha 3)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 9 (pow.f64 alpha 4))) (+.f64 (/.f64 3 (pow.f64 alpha 3)) (/.f64 27 (pow.f64 alpha 5))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (-.f64 (/.f64 9 (pow.f64 alpha 4)) (+.f64 (/.f64 3 (pow.f64 alpha 3)) (/.f64 27 (pow.f64 alpha 5)))))
(+.f64 (pow.f64 alpha -2) (+.f64 (/.f64 9 (pow.f64 alpha 4)) (+.f64 (/.f64 -3 (pow.f64 alpha 3)) (/.f64 -27 (pow.f64 alpha 5)))))
(/.f64 1 (pow.f64 alpha 2))
(/.f64 1 (*.f64 alpha alpha))
(pow.f64 alpha -2)
(-.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 3 (/.f64 1 (pow.f64 alpha 3))))
(-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 3 (pow.f64 alpha 3)))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 -3 (pow.f64 alpha 3)))
(+.f64 (pow.f64 alpha -2) (/.f64 -3 (pow.f64 alpha 3)))
(-.f64 (+.f64 (*.f64 9 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (*.f64 3 (/.f64 1 (pow.f64 alpha 3))))
(+.f64 (/.f64 9 (pow.f64 alpha 4)) (-.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 3 (pow.f64 alpha 3))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (+.f64 (/.f64 9 (pow.f64 alpha 4)) (/.f64 -3 (pow.f64 alpha 3))))
(+.f64 (pow.f64 alpha -2) (+.f64 (/.f64 9 (pow.f64 alpha 4)) (/.f64 -3 (pow.f64 alpha 3))))
(-.f64 (+.f64 (*.f64 9 (/.f64 1 (pow.f64 alpha 4))) (/.f64 1 (pow.f64 alpha 2))) (+.f64 (*.f64 27 (/.f64 1 (pow.f64 alpha 5))) (*.f64 3 (/.f64 1 (pow.f64 alpha 3)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 alpha alpha)) (/.f64 9 (pow.f64 alpha 4))) (+.f64 (/.f64 3 (pow.f64 alpha 3)) (/.f64 27 (pow.f64 alpha 5))))
(+.f64 (/.f64 1 (*.f64 alpha alpha)) (-.f64 (/.f64 9 (pow.f64 alpha 4)) (+.f64 (/.f64 3 (pow.f64 alpha 3)) (/.f64 27 (pow.f64 alpha 5)))))
(+.f64 (pow.f64 alpha -2) (+.f64 (/.f64 9 (pow.f64 alpha 4)) (+.f64 (/.f64 -3 (pow.f64 alpha 3)) (/.f64 -27 (pow.f64 alpha 5)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3)))) 1)
(/.f64 1 (*.f64 alpha (+.f64 alpha 3)))
(*.f64 1 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3)))
(/.f64 1 (*.f64 alpha (+.f64 alpha 3)))
(*.f64 (/.f64 1 alpha) (/.f64 1 (+.f64 alpha 3)))
(/.f64 1 (*.f64 alpha (+.f64 alpha 3)))
(*.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3)) 1)
(/.f64 1 (*.f64 alpha (+.f64 alpha 3)))
(*.f64 (/.f64 (pow.f64 alpha -1/2) (sqrt.f64 (+.f64 alpha 3))) (/.f64 (pow.f64 alpha -1/2) (sqrt.f64 (+.f64 alpha 3))))
(/.f64 1 (*.f64 alpha (+.f64 alpha 3)))
(*.f64 (pow.f64 alpha -1/2) (*.f64 (pow.f64 alpha -1/2) (/.f64 1 (+.f64 alpha 3))))
(/.f64 1 (*.f64 alpha (+.f64 alpha 3)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3))) 2))
(/.f64 1 (*.f64 alpha (+.f64 alpha 3)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3))) 2) (cbrt.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3))))
(/.f64 1 (*.f64 alpha (+.f64 alpha 3)))
(*.f64 (cbrt.f64 (pow.f64 alpha -2)) (*.f64 (/.f64 1 (cbrt.f64 alpha)) (/.f64 1 (+.f64 alpha 3))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 alpha -2)) (/.f64 1 (cbrt.f64 alpha))) (/.f64 1 (+.f64 alpha 3)))
(*.f64 (cbrt.f64 (pow.f64 alpha -2)) (/.f64 1 (*.f64 (+.f64 alpha 3) (cbrt.f64 alpha))))
(/.f64 (cbrt.f64 (pow.f64 alpha -2)) (*.f64 (+.f64 alpha 3) (cbrt.f64 alpha)))
(*.f64 (/.f64 1 (+.f64 alpha 3)) (/.f64 1 alpha))
(/.f64 1 (*.f64 alpha (+.f64 alpha 3)))
(*.f64 (/.f64 -1 alpha) (/.f64 1 (+.f64 (neg.f64 alpha) -3)))
(/.f64 (/.f64 -1 alpha) (-.f64 -3 alpha))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 alpha 3))) (/.f64 (/.f64 1 alpha) (sqrt.f64 (+.f64 alpha 3))))
(/.f64 1 (*.f64 alpha (+.f64 alpha 3)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2)) (/.f64 (/.f64 1 alpha) (cbrt.f64 (+.f64 alpha 3))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2)) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 alpha 3)) alpha)))
(/.f64 (/.f64 1 (*.f64 alpha (cbrt.f64 (+.f64 alpha 3)))) (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2))
(/.f64 (/.f64 1 alpha) (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2) (cbrt.f64 (+.f64 alpha 3))))
(*.f64 (/.f64 (/.f64 1 alpha) (-.f64 9 (*.f64 alpha alpha))) (-.f64 3 alpha))
(*.f64 (/.f64 1 (*.f64 (-.f64 9 (*.f64 alpha alpha)) alpha)) (-.f64 3 alpha))
(*.f64 (/.f64 1 (*.f64 alpha (-.f64 9 (*.f64 alpha alpha)))) (-.f64 3 alpha))
(/.f64 (-.f64 3 alpha) (*.f64 alpha (-.f64 9 (*.f64 alpha alpha))))
(/.f64 (/.f64 (-.f64 3 alpha) alpha) (-.f64 9 (*.f64 alpha alpha)))
(*.f64 (/.f64 (/.f64 1 alpha) (+.f64 27 (pow.f64 alpha 3))) (+.f64 9 (*.f64 alpha (-.f64 alpha 3))))
(*.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 alpha 3) 27) alpha)) (+.f64 9 (*.f64 alpha (+.f64 alpha -3))))
(*.f64 (/.f64 1 (*.f64 alpha (+.f64 (pow.f64 alpha 3) 27))) (fma.f64 alpha (+.f64 alpha -3) 9))
(/.f64 (fma.f64 alpha (+.f64 alpha -3) 9) (+.f64 (pow.f64 alpha 4) (*.f64 alpha 27)))
(*.f64 (/.f64 (pow.f64 alpha -1/2) 1) (/.f64 (pow.f64 alpha -1/2) (+.f64 alpha 3)))
(/.f64 1 (*.f64 alpha (+.f64 alpha 3)))
(*.f64 (/.f64 (pow.f64 alpha -1/2) (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2)) (/.f64 (pow.f64 alpha -1/2) (cbrt.f64 (+.f64 alpha 3))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2)) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 alpha 3)) alpha)))
(/.f64 (/.f64 1 (*.f64 alpha (cbrt.f64 (+.f64 alpha 3)))) (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2))
(/.f64 (/.f64 1 alpha) (*.f64 (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2) (cbrt.f64 (+.f64 alpha 3))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 alpha -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 alpha)) (+.f64 alpha 3)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 alpha -2)) (/.f64 1 (cbrt.f64 alpha))) (/.f64 1 (+.f64 alpha 3)))
(*.f64 (cbrt.f64 (pow.f64 alpha -2)) (/.f64 1 (*.f64 (+.f64 alpha 3) (cbrt.f64 alpha))))
(/.f64 (cbrt.f64 (pow.f64 alpha -2)) (*.f64 (+.f64 alpha 3) (cbrt.f64 alpha)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 alpha -2)) (sqrt.f64 (+.f64 alpha 3))) (/.f64 (/.f64 1 (cbrt.f64 alpha)) (sqrt.f64 (+.f64 alpha 3))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 alpha -2)) (/.f64 1 (cbrt.f64 alpha))) (/.f64 1 (+.f64 alpha 3)))
(*.f64 (cbrt.f64 (pow.f64 alpha -2)) (/.f64 1 (*.f64 (+.f64 alpha 3) (cbrt.f64 alpha))))
(/.f64 (cbrt.f64 (pow.f64 alpha -2)) (*.f64 (+.f64 alpha 3) (cbrt.f64 alpha)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 alpha -2)) (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2)) (cbrt.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3))))
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 alpha (+.f64 alpha 3)))) (/.f64 (cbrt.f64 (pow.f64 alpha -2)) (pow.f64 (cbrt.f64 (+.f64 alpha 3)) 2)))
(pow.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3)) 1)
(/.f64 1 (*.f64 alpha (+.f64 alpha 3)))
(pow.f64 (/.f64 (pow.f64 alpha -1/2) (sqrt.f64 (+.f64 alpha 3))) 2)
(/.f64 1 (*.f64 alpha (+.f64 alpha 3)))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3))) 3)
(/.f64 1 (*.f64 alpha (+.f64 alpha 3)))
(pow.f64 (pow.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3)) 3) 1/3)
(/.f64 1 (*.f64 alpha (+.f64 alpha 3)))
(pow.f64 (*.f64 alpha (+.f64 alpha 3)) -1)
(/.f64 1 (*.f64 alpha (+.f64 alpha 3)))
(neg.f64 (/.f64 (/.f64 1 alpha) (+.f64 (neg.f64 alpha) -3)))
(*.f64 (/.f64 -1 alpha) (/.f64 1 (+.f64 (neg.f64 alpha) -3)))
(/.f64 (/.f64 -1 alpha) (-.f64 -3 alpha))
(sqrt.f64 (/.f64 (pow.f64 alpha -2) (pow.f64 (+.f64 alpha 3) 2)))
(sqrt.f64 (pow.f64 (*.f64 alpha (+.f64 alpha 3)) -2))
(log.f64 (exp.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3))))
(/.f64 1 (*.f64 alpha (+.f64 alpha 3)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3)))))
(/.f64 1 (*.f64 alpha (+.f64 alpha 3)))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3)) 3))
(/.f64 1 (*.f64 alpha (+.f64 alpha 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3))))
(/.f64 1 (*.f64 alpha (+.f64 alpha 3)))
(exp.f64 (neg.f64 (log.f64 (*.f64 alpha (+.f64 alpha 3)))))
(/.f64 1 (*.f64 alpha (+.f64 alpha 3)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 alpha (+.f64 alpha 3)))) 1))
(/.f64 1 (*.f64 alpha (+.f64 alpha 3)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1 alpha) (+.f64 alpha 3))))
(/.f64 1 (*.f64 alpha (+.f64 alpha 3)))

localize16.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 34 to 24 computations (29.4% saved)

series9.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite81.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1448×distribute-lft-in
1234×associate-/l*
1174×associate-/r/
710×associate-/l/
298×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01231
128731
2408031
Stop Event
1×node limit
Counts
1 → 88
Calls
Call 1
Inputs
(/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))
Outputs
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(-.f64 4 (*.f64 beta beta))) (-.f64 2 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (*.f64 (sqrt.f64 (+.f64 3 (+.f64 beta alpha))) (+.f64 beta 2))) (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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (*.f64 (sqrt.f64 (+.f64 3 (+.f64 beta alpha))) (+.f64 beta 2))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (sqrt.f64 (-.f64 (-.f64 alpha beta) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 beta alpha))) 2) (+.f64 beta 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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 beta alpha))) 2) (+.f64 beta 2))) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (cbrt.f64 (-.f64 (-.f64 alpha beta) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (*.f64 (+.f64 beta 2) (+.f64 3 (+.f64 beta alpha)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1/2 (*.f64 (-.f64 -3 (+.f64 beta alpha)) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 1/2 (+.f64 beta 2)) 3) (pow.f64 (+.f64 3 (+.f64 beta alpha)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta)))))))))

simplify113.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1140×associate-+r+
1092×associate-+l+
746×*-commutative
704×distribute-lft-in
604×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04297006
114816794
262846748
Stop Event
1×node limit
Counts
112 → 212
Calls
Call 1
Inputs
(/.f64 1/4 (+.f64 3 alpha))
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 -1/8 (/.f64 (*.f64 beta (+.f64 5 alpha)) (pow.f64 (+.f64 3 alpha) 2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1/16 (/.f64 (pow.f64 (+.f64 5 alpha) 2) (pow.f64 (+.f64 3 alpha) 3)))))) (+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 -1/8 (/.f64 (*.f64 beta (+.f64 5 alpha)) (pow.f64 (+.f64 3 alpha) 2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1/16 (/.f64 (pow.f64 (+.f64 5 alpha) 2) (pow.f64 (+.f64 3 alpha) 3)))))) (+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1/16 (/.f64 (pow.f64 (+.f64 5 alpha) 2) (pow.f64 (+.f64 3 alpha) 3)))) (+.f64 5 alpha)) (+.f64 3 alpha))) (*.f64 -1/16 (/.f64 (+.f64 5 alpha) (pow.f64 (+.f64 3 alpha) 3)))))) (*.f64 -1/8 (/.f64 (*.f64 beta (+.f64 5 alpha)) (pow.f64 (+.f64 3 alpha) 2))))))
(/.f64 1/2 (pow.f64 beta 2))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (*.f64 -1/2 (/.f64 (+.f64 5 alpha) (pow.f64 beta 3))))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 5 alpha) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 3 (+.f64 (*.f64 -1/2 (pow.f64 (+.f64 5 alpha) 2)) alpha)) (pow.f64 beta 4)))))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 alpha) (+.f64 5 alpha))) (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 -1/2 (pow.f64 (+.f64 5 alpha) 2)) alpha)) (+.f64 5 alpha)))) (pow.f64 beta 5))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 5 alpha) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 3 (+.f64 (*.f64 -1/2 (pow.f64 (+.f64 5 alpha) 2)) alpha)) (pow.f64 beta 4))))))
(/.f64 1/2 (pow.f64 beta 2))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (+.f64 3 alpha)) 2) (pow.f64 beta 3))) (*.f64 1/2 (/.f64 1 (pow.f64 beta 2))))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (+.f64 3 alpha)) 2) (pow.f64 beta 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 3 (+.f64 (*.f64 -1/2 (pow.f64 (-.f64 (*.f64 -1 (+.f64 3 alpha)) 2) 2)) alpha)) (pow.f64 beta 4)))))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (+.f64 3 alpha)) 2) (pow.f64 beta 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 3 (+.f64 (*.f64 -1/2 (pow.f64 (-.f64 (*.f64 -1 (+.f64 3 alpha)) 2) 2)) alpha)) (pow.f64 beta 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 3 (+.f64 (*.f64 -1/2 (pow.f64 (-.f64 (*.f64 -1 (+.f64 3 alpha)) 2) 2)) alpha)) (-.f64 (*.f64 -1 (+.f64 3 alpha)) 2)) (pow.f64 beta 5))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 3 alpha)) 2) (+.f64 3 alpha)) (pow.f64 beta 5)))))))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(+.f64 (*.f64 -1/2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta 2)))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(+.f64 (*.f64 -1/2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta 2)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 (+.f64 beta 3) 3) (+.f64 beta 2)))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(+.f64 (*.f64 -1/2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 beta 3) 4) (+.f64 beta 2)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 (+.f64 beta 3) 3) (+.f64 beta 2)))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))
(/.f64 1/2 (*.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 2) alpha))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (+.f64 beta 2) (pow.f64 alpha 3)))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (+.f64 beta 2) (pow.f64 alpha 4)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (+.f64 beta 2) (pow.f64 alpha 3)))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 2) alpha))))))
(/.f64 1/2 (*.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 2) alpha))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (+.f64 beta 2) (pow.f64 alpha 3)))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)))))
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 beta 3) 3) (*.f64 (+.f64 beta 2) (pow.f64 alpha 4)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 (+.f64 beta 2) (pow.f64 alpha 3)))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 2) alpha))))))
(+.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta))) (*.f64 (/.f64 1/2 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) (+.f64 beta 2))) (fma.f64 (neg.f64 (+.f64 beta 3)) 1 (+.f64 beta 3))))
(+.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta))) (*.f64 (/.f64 1/2 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) (+.f64 beta 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)) (+.f64 beta 3))))
(+.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta))) (*.f64 (/.f64 1/2 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) (+.f64 beta 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 beta 3))) (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2) (+.f64 beta 3))))
(+.f64 (*.f64 (/.f64 1/2 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) (+.f64 beta 2))) alpha) (*.f64 (/.f64 1/2 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) (+.f64 beta 2))) (neg.f64 (+.f64 beta 3))))
(+.f64 (*.f64 (/.f64 1/2 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) (+.f64 beta 2))) alpha) (*.f64 (/.f64 1/2 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) (+.f64 beta 2))) (+.f64 -3 (*.f64 -1 beta))))
(+.f64 (*.f64 (/.f64 1/2 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) (+.f64 beta 2))) alpha) (*.f64 (/.f64 1/2 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) (+.f64 beta 2))) (*.f64 (neg.f64 (sqrt.f64 (+.f64 beta 3))) (sqrt.f64 (+.f64 beta 3)))))
(+.f64 (*.f64 (/.f64 1/2 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) (+.f64 beta 2))) alpha) (*.f64 (/.f64 1/2 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) (+.f64 beta 2))) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 beta 3)) 2)) (cbrt.f64 (+.f64 beta 3)))))
(+.f64 (*.f64 (/.f64 1/2 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) (+.f64 beta 2))) (*.f64 alpha alpha)) (*.f64 (/.f64 1/2 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) (+.f64 beta 2))) (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(+.f64 (*.f64 (/.f64 1/2 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) (+.f64 beta 2))) (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))) (*.f64 (/.f64 1/2 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) (+.f64 beta 2))) (*.f64 alpha alpha)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta))))) 1)
(*.f64 1/2 (*.f64 (/.f64 -1 (-.f64 -2 beta)) (/.f64 1 (+.f64 3 (+.f64 beta alpha)))))
(*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 3 (+.f64 beta alpha)))))
(*.f64 (/.f64 1/2 (+.f64 beta 2)) (/.f64 1 (+.f64 3 (+.f64 beta alpha))))
(*.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta))) 1)
(*.f64 1 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta))))
(*.f64 (sqrt.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta)))) (sqrt.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta)))))
(*.f64 (sqrt.f64 (/.f64 1/2 (+.f64 beta 2))) (/.f64 (sqrt.f64 (/.f64 1/2 (+.f64 beta 2))) (+.f64 3 (+.f64 beta alpha))))
(*.f64 (cbrt.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta)))) (pow.f64 (cbrt.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta)))) 2) (cbrt.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 2))) 2) (*.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 2))) (/.f64 1 (+.f64 3 (+.f64 beta alpha)))))
(*.f64 (/.f64 1 (+.f64 3 (+.f64 beta alpha))) (/.f64 1/2 (+.f64 beta 2)))
(*.f64 (/.f64 1/2 (-.f64 -2 beta)) (/.f64 1 (-.f64 -3 (+.f64 beta alpha))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 3 (+.f64 beta alpha)))) (/.f64 1/2 (*.f64 (sqrt.f64 (+.f64 3 (+.f64 beta alpha))) (+.f64 beta 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 beta alpha))) 2)) (/.f64 1/2 (*.f64 (cbrt.f64 (+.f64 3 (+.f64 beta alpha))) (+.f64 beta 2))))
(*.f64 (/.f64 1/2 (+.f64 3 (+.f64 beta alpha))) (/.f64 -1 (-.f64 -2 beta)))
(*.f64 (/.f64 1 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (*.f64 (/.f64 1/2 (+.f64 beta 2)) (-.f64 (-.f64 alpha beta) 3)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (*.f64 (/.f64 1/2 (+.f64 beta 2)) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(*.f64 (/.f64 1/2 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) (+.f64 beta 2))) (-.f64 (-.f64 alpha beta) 3))
(*.f64 (/.f64 1/2 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) (+.f64 beta 2))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))))
(*.f64 (/.f64 1 (-.f64 -3 (+.f64 beta alpha))) (/.f64 1/2 (-.f64 -2 beta)))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (+.f64 3 (+.f64 beta alpha)))) 1/2)
(*.f64 (/.f64 1/2 (sqrt.f64 (+.f64 3 (+.f64 beta alpha)))) (/.f64 1 (*.f64 (sqrt.f64 (+.f64 3 (+.f64 beta alpha))) (+.f64 beta 2))))
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 beta alpha))) 2)) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 3 (+.f64 beta alpha))) (+.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 (+.f64 beta 2))) (+.f64 3 (+.f64 beta alpha))) (sqrt.f64 (/.f64 1/2 (+.f64 beta 2))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 (+.f64 beta 2))) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 beta alpha))) 2)) (/.f64 (sqrt.f64 (/.f64 1/2 (+.f64 beta 2))) (cbrt.f64 (+.f64 3 (+.f64 beta alpha)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 2))) 2) 1) (/.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 2))) (+.f64 3 (+.f64 beta alpha))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 2))) 2) (sqrt.f64 (+.f64 3 (+.f64 beta alpha)))) (/.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 2))) (sqrt.f64 (+.f64 3 (+.f64 beta alpha)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 2))) 2) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 beta alpha))) 2)) (cbrt.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 2))) 2) (+.f64 3 (+.f64 beta alpha))) (cbrt.f64 (/.f64 1/2 (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 2)) (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (neg.f64 (-.f64 (-.f64 alpha beta) 3)))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 2)) (neg.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)))) (neg.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha))))))
(*.f64 (/.f64 1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (fma.f64 beta beta -4))) (+.f64 beta -2))
(*.f64 (/.f64 1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (+.f64 8 (pow.f64 beta 3)))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))
(*.f64 (/.f64 1/2 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) (fma.f64 beta beta -4))) (*.f64 (-.f64 (-.f64 alpha beta) 3) (+.f64 beta -2)))
(*.f64 (/.f64 1/2 (*.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)) (+.f64 8 (pow.f64 beta 3)))) (*.f64 (-.f64 (-.f64 alpha beta) 3) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))))
(*.f64 (/.f64 1/2 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) (fma.f64 beta beta -4))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))) (+.f64 beta -2)))
(*.f64 (/.f64 1/2 (*.f64 (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3)) (+.f64 8 (pow.f64 beta 3)))) (*.f64 (fma.f64 alpha alpha (*.f64 (+.f64 beta 3) (+.f64 beta (-.f64 3 alpha)))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 2)) (-.f64 (pow.f64 (+.f64 beta 3) 2) (*.f64 alpha alpha))) (+.f64 beta (-.f64 3 alpha)))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 2)) (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) 9)) (+.f64 beta (-.f64 alpha 3)))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 27 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (-.f64 9 (*.f64 (+.f64 beta alpha) 3))))
(*.f64 (/.f64 1 (/.f64 (+.f64 3 (+.f64 beta alpha)) 1/2)) (/.f64 -1 (-.f64 -2 beta)))
(*.f64 (/.f64 1 (/.f64 (+.f64 3 (+.f64 beta alpha)) (pow.f64 (cbrt.f64 (/.f64 1/2 (+.f64 beta 2))) 2))) (cbrt.f64 (/.f64 1/2 (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 1 (+.f64 3 (+.f64 beta alpha))) (+.f64 beta 2)) 1/2)
(*.f64 (/.f64 (/.f64 1 (+.f64 3 (+.f64 beta alpha))) 1) (/.f64 1/2 (+.f64 beta 2)))
(*.f64 (/.f64 (/.f64 1 (+.f64 3 (+.f64 beta alpha))) (sqrt.f64 (+.f64 beta 2))) (/.f64 1/2 (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 1 (+.f64 3 (+.f64 beta alpha))) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 1/2 (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (/.f64 1 (+.f64 3 (+.f64 beta alpha))) (fma.f64 beta beta -4)) (+.f64 (*.f64 1/2 beta) -1))
(*.f64 (/.f64 (/.f64 1 (+.f64 3 (+.f64 beta alpha))) (+.f64 8 (pow.f64 beta 3))) (*.f64 1/2 (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))))
(*.f64 (/.f64 (/.f64 1 (+.f64 3 (+.f64 beta alpha))) (-.f64 -2 beta)) -1/2)
(*.f64 (/.f64 (/.f64 1/2 (-.f64 -2 beta)) (neg.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (-.f64 (-.f64 alpha beta) 3))
(*.f64 (/.f64 (/.f64 1/2 (-.f64 -2 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 -1/2 (/.f64 1 (+.f64 3 (+.f64 beta alpha)))) (neg.f64 (fma.f64 beta beta -4))) (+.f64 beta -2))
(*.f64 (/.f64 (*.f64 -1/2 (/.f64 1 (+.f64 3 (+.f64 beta alpha)))) (neg.f64 (+.f64 8 (pow.f64 beta 3)))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 3 (+.f64 beta alpha))) 1) (/.f64 -1 (-.f64 -2 beta)))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 3 (+.f64 beta alpha))) (fma.f64 beta beta -4)) (+.f64 beta -2))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 3 (+.f64 beta alpha))) (+.f64 8 (pow.f64 beta 3))) (fma.f64 beta beta (-.f64 4 (*.f64 beta 2))))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 3 (+.f64 beta alpha))) (neg.f64 (fma.f64 beta beta -4))) (neg.f64 (+.f64 beta -2)))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 3 (+.f64 beta alpha))) (neg.f64 (+.f64 8 (pow.f64 beta 3)))) (neg.f64 (fma.f64 beta beta (-.f64 4 (*.f64 beta 2)))))
(*.f64 (/.f64 (/.f64 1/2 (+.f64 3 (+.f64 beta alpha))) (-.f64 4 (*.f64 beta beta))) (-.f64 2 beta))
(*.f64 (/.f64 (/.f64 1/2 (*.f64 (sqrt.f64 (+.f64 3 (+.f64 beta alpha))) (+.f64 beta 2))) (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 1/2 (*.f64 (sqrt.f64 (+.f64 3 (+.f64 beta alpha))) (+.f64 beta 2))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (sqrt.f64 (-.f64 (-.f64 alpha beta) 3)))
(*.f64 (/.f64 (/.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 beta alpha))) 2) (+.f64 beta 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 1/2 (*.f64 (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 beta alpha))) 2) (+.f64 beta 2))) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (cbrt.f64 (-.f64 (-.f64 alpha beta) 3)))
(pow.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta))) 1)
(pow.f64 (sqrt.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta)))) 2)
(pow.f64 (cbrt.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta)))) 3)
(pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta))) 3) 1/3)
(pow.f64 (*.f64 2 (*.f64 (+.f64 beta 2) (+.f64 3 (+.f64 beta alpha)))) -1)
(neg.f64 (/.f64 1/2 (*.f64 (-.f64 -3 (+.f64 beta alpha)) (+.f64 beta 2))))
(sqrt.f64 (pow.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta))) 2))
(log.f64 (exp.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta))))))
(cbrt.f64 (pow.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1/2 (+.f64 beta 2)) 3) (pow.f64 (+.f64 3 (+.f64 beta alpha)) 3)))
(expm1.f64 (log1p.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta)))))
(exp.f64 (log.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta)))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta)))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta)))))
Outputs
(/.f64 1/4 (+.f64 3 alpha))
(+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 -1/8 (/.f64 (*.f64 beta (+.f64 5 alpha)) (pow.f64 (+.f64 3 alpha) 2))))
(+.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 -1/8 (/.f64 beta (/.f64 (pow.f64 (+.f64 3 alpha) 2) (+.f64 alpha 5)))))
(fma.f64 -1/8 (/.f64 (+.f64 alpha 5) (/.f64 (pow.f64 (+.f64 3 alpha) 2) beta)) (/.f64 1/4 (+.f64 3 alpha)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1/16 (/.f64 (pow.f64 (+.f64 5 alpha) 2) (pow.f64 (+.f64 3 alpha) 3)))))) (+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (*.f64 -1/8 (/.f64 (*.f64 beta (+.f64 5 alpha)) (pow.f64 (+.f64 3 alpha) 2)))))
(fma.f64 -1 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 1/8 (pow.f64 (+.f64 3 alpha) 2)) (*.f64 -1/16 (/.f64 (pow.f64 (+.f64 alpha 5) 2) (pow.f64 (+.f64 3 alpha) 3))))) (+.f64 (/.f64 1/4 (+.f64 3 alpha)) (*.f64 -1/8 (/.f64 beta (/.f64 (pow.f64 (+.f64 3 alpha) 2) (+.f64 alpha 5))))))
(-.f64 (fma.f64 -1/8 (/.f64 (+.f64 alpha 5) (/.f64 (pow.f64 (+.f64 3 alpha) 2) beta)) (/.f64 1/4 (+.f64 3 alpha))) (*.f64 (*.f64 beta beta) (fma.f64 -1/16 (/.f64 (pow.f64 (+.f64 alpha 5) 2) (pow.f64 (+.f64 3 alpha) 3)) (/.f64 1/8 (pow.f64 (+.f64 3 alpha) 2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1/16 (/.f64 (pow.f64 (+.f64 5 alpha) 2) (pow.f64 (+.f64 3 alpha) 3)))))) (+.f64 (*.f64 1/4 (/.f64 1 (+.f64 3 alpha))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (+.f64 3 alpha) 2))) (*.f64 -1/16 (/.f64 (pow.f64 (+.f64 5 alpha) 2) (pow.f64 (+.f64 3 alpha) 3)))) (+.f64 5 alpha)) (+.f64 3 alpha))) (*.f64 -1/16 (/.f64 (+.f64 5 alpha) (pow.f64 (+.f64 3 alpha) 3)))))) (*.f64 -1/8 (/.f64 (*.f64 beta (+.f64 5 alpha)) (pow.f64 (+.f64 3 alpha) 2))))))
(fma.f64 -1 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 1/8 (pow.f64 (+.f64 3 alpha) 2)) (*.f64 -1/16 (/.f64 (pow.f64 (+.f64 alpha 5) 2) (pow.f64 (+.f64 3 alpha) 3))))) (+.f64 (/.f64 1/4 (+.f64 3 alpha)) (fma.f64 -1 (*.f64 (pow.f64 beta 3) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 (+.f64 3 alpha) 2)) (*.f64 -1/16 (/.f64 (pow.f64 (+.f64 alpha 5) 2) (pow.f64 (+.f64 3 alpha) 3)))) (/.f64 (+.f64 3 alpha) (+.f64 alpha 5))) (*.f64 -1/16 (/.f64 (+.f64 alpha 5) (pow.f64 (+.f64 3 alpha) 3))))) (*.f64 -1/8 (/.f64 beta (/.f64 (pow.f64 (+.f64 3 alpha) 2) (+.f64 alpha 5)))))))
(+.f64 (-.f64 (fma.f64 -1/8 (/.f64 (+.f64 alpha 5) (/.f64 (pow.f64 (+.f64 3 alpha) 2) beta)) (/.f64 1/4 (+.f64 3 alpha))) (*.f64 (*.f64 beta beta) (fma.f64 -1/16 (/.f64 (pow.f64 (+.f64 alpha 5) 2) (pow.f64 (+.f64 3 alpha) 3)) (/.f64 1/8 (pow.f64 (+.f64 3 alpha) 2))))) (*.f64 (pow.f64 beta 3) (neg.f64 (fma.f64 -1/2 (/.f64 (+.f64 alpha 5) (/.f64 (+.f64 3 alpha) (fma.f64 -1/16 (/.f64 (pow.f64 (+.f64 alpha 5) 2) (pow.f64 (+.f64 3 alpha) 3)) (/.f64 1/8 (pow.f64 (+.f64 3 alpha) 2))))) (/.f64 -1/16 (/.f64 (pow.f64 (+.f64 3 alpha) 3) (+.f64 alpha 5)))))))
(/.f64 1/2 (pow.f64 beta 2))
(/.f64 1/2 (*.f64 beta beta))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (*.f64 -1/2 (/.f64 (+.f64 5 alpha) (pow.f64 beta 3))))
(+.f64 (/.f64 1/2 (*.f64 beta beta)) (*.f64 -1/2 (/.f64 (+.f64 alpha 5) (pow.f64 beta 3))))
(fma.f64 -1/2 (/.f64 (+.f64 alpha 5) (pow.f64 beta 3)) (/.f64 1/2 (*.f64 beta beta)))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 5 alpha) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 3 (+.f64 (*.f64 -1/2 (pow.f64 (+.f64 5 alpha) 2)) alpha)) (pow.f64 beta 4)))))
(+.f64 (/.f64 1/2 (*.f64 beta beta)) (fma.f64 -1/2 (/.f64 (+.f64 alpha 5) (pow.f64 beta 3)) (neg.f64 (/.f64 (+.f64 3 (fma.f64 -1/2 (pow.f64 (+.f64 alpha 5) 2) alpha)) (pow.f64 beta 4)))))
(-.f64 (fma.f64 -1/2 (/.f64 (+.f64 alpha 5) (pow.f64 beta 3)) (/.f64 1/2 (*.f64 beta beta))) (/.f64 (+.f64 3 (fma.f64 (pow.f64 (+.f64 alpha 5) 2) -1/2 alpha)) (pow.f64 beta 4)))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 3 alpha) (+.f64 5 alpha))) (*.f64 -1 (*.f64 (+.f64 3 (+.f64 (*.f64 -1/2 (pow.f64 (+.f64 5 alpha) 2)) alpha)) (+.f64 5 alpha)))) (pow.f64 beta 5))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 5 alpha) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 3 (+.f64 (*.f64 -1/2 (pow.f64 (+.f64 5 alpha) 2)) alpha)) (pow.f64 beta 4))))))
(+.f64 (/.f64 1/2 (*.f64 beta beta)) (fma.f64 -1 (/.f64 (*.f64 -1 (+.f64 (*.f64 (+.f64 3 alpha) (+.f64 alpha 5)) (*.f64 (+.f64 alpha 5) (+.f64 3 (fma.f64 -1/2 (pow.f64 (+.f64 alpha 5) 2) alpha))))) (pow.f64 beta 5)) (fma.f64 -1/2 (/.f64 (+.f64 alpha 5) (pow.f64 beta 3)) (neg.f64 (/.f64 (+.f64 3 (fma.f64 -1/2 (pow.f64 (+.f64 alpha 5) 2) alpha)) (pow.f64 beta 4))))))
(+.f64 (-.f64 (fma.f64 -1/2 (/.f64 (+.f64 alpha 5) (pow.f64 beta 3)) (/.f64 1/2 (*.f64 beta beta))) (/.f64 (+.f64 3 (fma.f64 (pow.f64 (+.f64 alpha 5) 2) -1/2 alpha)) (pow.f64 beta 4))) (/.f64 (*.f64 1 (*.f64 (+.f64 alpha 5) (+.f64 (+.f64 3 alpha) (+.f64 3 (fma.f64 (pow.f64 (+.f64 alpha 5) 2) -1/2 alpha))))) (pow.f64 beta 5)))
(+.f64 (-.f64 (fma.f64 -1/2 (/.f64 (+.f64 alpha 5) (pow.f64 beta 3)) (/.f64 1/2 (*.f64 beta beta))) (/.f64 (+.f64 3 (fma.f64 (pow.f64 (+.f64 alpha 5) 2) -1/2 alpha)) (pow.f64 beta 4))) (/.f64 (*.f64 1 (*.f64 (+.f64 alpha 5) (+.f64 (+.f64 (+.f64 3 alpha) 3) (fma.f64 (pow.f64 (+.f64 alpha 5) 2) -1/2 alpha)))) (pow.f64 beta 5)))
(/.f64 1/2 (pow.f64 beta 2))
(/.f64 1/2 (*.f64 beta beta))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (+.f64 3 alpha)) 2) (pow.f64 beta 3))) (*.f64 1/2 (/.f64 1 (pow.f64 beta 2))))
(fma.f64 1/2 (/.f64 (fma.f64 -1 (+.f64 3 alpha) -2) (pow.f64 beta 3)) (/.f64 1/2 (*.f64 beta beta)))
(fma.f64 1/2 (/.f64 (fma.f64 (+.f64 3 alpha) -1 -2) (pow.f64 beta 3)) (/.f64 1/2 (*.f64 beta beta)))
(fma.f64 1/2 (/.f64 (+.f64 (neg.f64 alpha) -5) (pow.f64 beta 3)) (/.f64 1/2 (*.f64 beta beta)))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (+.f64 3 alpha)) 2) (pow.f64 beta 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 3 (+.f64 (*.f64 -1/2 (pow.f64 (-.f64 (*.f64 -1 (+.f64 3 alpha)) 2) 2)) alpha)) (pow.f64 beta 4)))))
(+.f64 (fma.f64 1/2 (/.f64 (fma.f64 -1 (+.f64 3 alpha) -2) (pow.f64 beta 3)) (/.f64 1/2 (*.f64 beta beta))) (neg.f64 (/.f64 (+.f64 3 (fma.f64 -1/2 (pow.f64 (fma.f64 -1 (+.f64 3 alpha) -2) 2) alpha)) (pow.f64 beta 4))))
(-.f64 (fma.f64 1/2 (/.f64 (fma.f64 (+.f64 3 alpha) -1 -2) (pow.f64 beta 3)) (/.f64 1/2 (*.f64 beta beta))) (/.f64 (+.f64 3 (fma.f64 -1/2 (pow.f64 (fma.f64 (+.f64 3 alpha) -1 -2) 2) alpha)) (pow.f64 beta 4)))
(-.f64 (fma.f64 1/2 (/.f64 (+.f64 (neg.f64 alpha) -5) (pow.f64 beta 3)) (/.f64 1/2 (*.f64 beta beta))) (/.f64 (+.f64 3 (fma.f64 -1/2 (pow.f64 (+.f64 (neg.f64 alpha) -5) 2) alpha)) (pow.f64 beta 4)))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -1 (+.f64 3 alpha)) 2) (pow.f64 beta 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 3 (+.f64 (*.f64 -1/2 (pow.f64 (-.f64 (*.f64 -1 (+.f64 3 alpha)) 2) 2)) alpha)) (pow.f64 beta 4))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 3 (+.f64 (*.f64 -1/2 (pow.f64 (-.f64 (*.f64 -1 (+.f64 3 alpha)) 2) 2)) alpha)) (-.f64 (*.f64 -1 (+.f64 3 alpha)) 2)) (pow.f64 beta 5))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 3 alpha)) 2) (+.f64 3 alpha)) (pow.f64 beta 5)))))))
(+.f64 (fma.f64 1/2 (/.f64 (fma.f64 -1 (+.f64 3 alpha) -2) (pow.f64 beta 3)) (/.f64 1/2 (*.f64 beta beta))) (fma.f64 -1 (/.f64 (+.f64 3 (fma.f64 -1/2 (pow.f64 (fma.f64 -1 (+.f64 3 alpha) -2) 2) alpha)) (pow.f64 beta 4)) (fma.f64 -1 (/.f64 (+.f64 3 (fma.f64 -1/2 (pow.f64 (fma.f64 -1 (+.f64 3 alpha) -2) 2) alpha)) (/.f64 (pow.f64 beta 5) (fma.f64 -1 (+.f64 3 alpha) -2))) (neg.f64 (/.f64 (fma.f64 -1 (+.f64 3 alpha) -2) (/.f64 (pow.f64 beta 5) (+.f64 3 alpha)))))))
(+.f64 (fma.f64 1/2 (/.f64 (fma.f64 (+.f64 3 alpha) -1 -2) (pow.f64 beta 3)) (/.f64 1/2 (*.f64 beta beta))) (-.f64 (-.f64 (/.f64 (neg.f64 (+.f64 3 (fma.f64 -1/2 (pow.f64 (fma.f64 (+.f64 3 alpha) -1 -2) 2) alpha))) (/.f64 (pow.f64 beta 5) (fma.f64 (+.f64 3 alpha) -1 -2))) (/.f64 (+.f64 3 alpha) (/.f64 (pow.f64 beta 5) (fma.f64 (+.f64 3 alpha) -1 -2)))) (/.f64 (+.f64 3 (fma.f64 -1/2 (pow.f64 (fma.f64 (+.f64 3 alpha) -1 -2) 2) alpha)) (pow.f64 beta 4))))
(+.f64 (fma.f64 1/2 (/.f64 (+.f64 (neg.f64 alpha) -5) (pow.f64 beta 3)) (/.f64 1/2 (*.f64 beta beta))) (-.f64 (-.f64 (/.f64 (neg.f64 (+.f64 3 (fma.f64 -1/2 (pow.f64 (+.f64 (neg.f64 alpha) -5) 2) alpha))) (/.f64 (pow.f64 beta 5) (+.f64 (neg.f64 alpha) -5))) (/.f64 (+.f64 3 alpha) (/.f64 (pow.f64 beta 5) (+.f64 (neg.f64 alpha) -5)))) (/.f64 (+.f64 3 (fma.f64 -1/2 (pow.f64 (+.f64 (neg.f64 alpha) -5) 2) alpha)) (pow.f64 beta 4))))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 3 beta)) (+.f64 beta 2))
(/.f64 1/2 (*.f64 (+.f64 3 beta) (+.f64 beta 2)))
(+.f64 (*.f64 -1/2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta 2)))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))
(fma.f64 -1/2 (/.f64 alpha (*.f64 (+.f64 beta 2) (pow.f64 (+.f64 3 beta) 2))) (/.f64 (/.f64 1/2 (+.f64 3 beta)) (+.f64 beta 2)))
(fma.f64 -1/2 (/.f64 (/.f64 alpha (pow.f64 (+.f64 3 beta) 2)) (+.f64 beta 2)) (/.f64 1/2 (*.f64 (+.f64 3 beta) (+.f64 beta 2))))
(+.f64 (*.f64 -1/2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta 2)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 (+.f64 beta 3) 3) (+.f64 beta 2)))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2))))))
(fma.f64 -1/2 (/.f64 alpha (*.f64 (+.f64 beta 2) (pow.f64 (+.f64 3 beta) 2))) (fma.f64 1/2 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta 2) (pow.f64 (+.f64 3 beta) 3))) (/.f64 (/.f64 1/2 (+.f64 3 beta)) (+.f64 beta 2))))
(fma.f64 -1/2 (/.f64 (/.f64 alpha (pow.f64 (+.f64 3 beta) 2)) (+.f64 beta 2)) (fma.f64 1/2 (/.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 3 beta) 3)) (+.f64 beta 2)) (/.f64 1/2 (*.f64 (+.f64 3 beta) (+.f64 beta 2)))))
(+.f64 (*.f64 -1/2 (/.f64 alpha (*.f64 (pow.f64 (+.f64 beta 3) 2) (+.f64 beta 2)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 alpha 3) (*.f64 (pow.f64 (+.f64 beta 3) 4) (+.f64 beta 2)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 alpha 2) (*.f64 (pow.f64 (+.f64 beta 3) 3) (+.f64 beta 2)))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))))))
(fma.f64 -1/2 (/.f64 alpha (*.f64 (+.f64 beta 2) (pow.f64 (+.f64 3 beta) 2))) (fma.f64 -1/2 (/.f64 (pow.f64 alpha 3) (*.f64 (+.f64 beta 2) (pow.f64 (+.f64 3 beta) 4))) (fma.f64 1/2 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta 2) (pow.f64 (+.f64 3 beta) 3))) (/.f64 (/.f64 1/2 (+.f64 3 beta)) (+.f64 beta 2)))))
(fma.f64 -1/2 (/.f64 (/.f64 alpha (pow.f64 (+.f64 3 beta) 2)) (+.f64 beta 2)) (fma.f64 -1/2 (/.f64 (/.f64 (pow.f64 alpha 3) (+.f64 beta 2)) (pow.f64 (+.f64 3 beta) 4)) (fma.f64 1/2 (/.f64 (/.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 3 beta) 3)) (+.f64 beta 2)) (/.f64 1/2 (*.f64 (+.f64 3 beta) (+.f64 beta 2))))))
(/.f64 1/2 (*.f64 (+.f64 beta 2) alpha))
(/.f64 1/2 (*.f64 alpha (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 beta 2)) alpha)
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 beta 3) (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 beta 2) alpha))))
(fma.f64 -1/2 (/.f64 (+.f64 3 beta) (*.f64 (+.f64 beta 2) (*.f64 alpha alpha))) (/.f64 1/2 (*.f64 alpha (+.f64 beta 2))))
(fma.f64 -1/2 (/.f64 (+.f64 3 beta) (*.f64 alpha (*.f64 alpha (+.f64 beta 2)))) (/.f64 (/.f64 1/2 (+.f64 beta 2)) alpha))
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(*.f64 (/.f64 1/2 (*.f64 (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 3 beta) 2))) (*.f64 (+.f64 beta 2) (sqrt.f64 (+.f64 (+.f64 3 beta) alpha))))) (sqrt.f64 (-.f64 alpha (+.f64 3 beta))))
(*.f64 (/.f64 1/2 (*.f64 (*.f64 (+.f64 beta 2) (sqrt.f64 (+.f64 3 (+.f64 alpha beta)))) (sqrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 3 beta) 2))))) (sqrt.f64 (-.f64 alpha (-.f64 beta -3))))
(*.f64 (/.f64 (/.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 beta alpha))) 2) (+.f64 beta 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 1/2 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 3 beta) 3) (pow.f64 alpha 3))) (*.f64 (+.f64 beta 2) (pow.f64 (cbrt.f64 (+.f64 (+.f64 3 beta) alpha)) 2)))) (cbrt.f64 (fma.f64 alpha alpha (*.f64 (+.f64 3 beta) (+.f64 beta (-.f64 3 alpha))))))
(*.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 3 beta) 3) (pow.f64 alpha 3))) (+.f64 beta 2))) (cbrt.f64 (fma.f64 (+.f64 3 beta) (+.f64 3 (-.f64 beta alpha)) (*.f64 alpha alpha))))
(*.f64 (/.f64 (/.f64 1/2 (*.f64 (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 beta alpha))) 2) (+.f64 beta 2))) (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))) (cbrt.f64 (-.f64 (-.f64 alpha beta) 3)))
(*.f64 (/.f64 1/2 (*.f64 (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 3 beta) 2))) (*.f64 (+.f64 beta 2) (pow.f64 (cbrt.f64 (+.f64 (+.f64 3 beta) alpha)) 2)))) (cbrt.f64 (-.f64 alpha (+.f64 3 beta))))
(*.f64 (/.f64 1/2 (*.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 3 beta) 2))) (+.f64 beta 2)) (pow.f64 (cbrt.f64 (+.f64 3 (+.f64 alpha beta))) 2))) (cbrt.f64 (-.f64 alpha (-.f64 beta -3))))
(pow.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta))) 1)
(/.f64 (/.f64 -1/2 (+.f64 (+.f64 3 beta) alpha)) (-.f64 -2 beta))
(/.f64 (/.f64 -1/2 (+.f64 3 (+.f64 alpha beta))) (-.f64 -2 beta))
(pow.f64 (sqrt.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta)))) 2)
(/.f64 (/.f64 -1/2 (+.f64 (+.f64 3 beta) alpha)) (-.f64 -2 beta))
(/.f64 (/.f64 -1/2 (+.f64 3 (+.f64 alpha beta))) (-.f64 -2 beta))
(pow.f64 (cbrt.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta)))) 3)
(/.f64 (/.f64 -1/2 (+.f64 (+.f64 3 beta) alpha)) (-.f64 -2 beta))
(/.f64 (/.f64 -1/2 (+.f64 3 (+.f64 alpha beta))) (-.f64 -2 beta))
(pow.f64 (pow.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta))) 3) 1/3)
(/.f64 (/.f64 -1/2 (+.f64 (+.f64 3 beta) alpha)) (-.f64 -2 beta))
(/.f64 (/.f64 -1/2 (+.f64 3 (+.f64 alpha beta))) (-.f64 -2 beta))
(pow.f64 (*.f64 2 (*.f64 (+.f64 beta 2) (+.f64 3 (+.f64 beta alpha)))) -1)
(/.f64 1/2 (*.f64 (+.f64 beta 2) (+.f64 (+.f64 3 beta) alpha)))
(/.f64 1/2 (*.f64 (+.f64 beta 2) (+.f64 3 (+.f64 alpha beta))))
(neg.f64 (/.f64 1/2 (*.f64 (-.f64 -3 (+.f64 beta alpha)) (+.f64 beta 2))))
(/.f64 -1/2 (*.f64 (+.f64 beta 2) (-.f64 -3 (+.f64 alpha beta))))
(/.f64 -1/2 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -3 alpha) beta)))
(sqrt.f64 (pow.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta))) 2))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 -1/2 (+.f64 (+.f64 3 beta) alpha)) (-.f64 -2 beta)) 2))
(fabs.f64 (/.f64 (/.f64 -1/2 (+.f64 3 (+.f64 alpha beta))) (-.f64 -2 beta)))
(log.f64 (exp.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta)))))
(/.f64 (/.f64 -1/2 (+.f64 (+.f64 3 beta) alpha)) (-.f64 -2 beta))
(/.f64 (/.f64 -1/2 (+.f64 3 (+.f64 alpha beta))) (-.f64 -2 beta))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta))))))
(/.f64 (/.f64 -1/2 (+.f64 (+.f64 3 beta) alpha)) (-.f64 -2 beta))
(/.f64 (/.f64 -1/2 (+.f64 3 (+.f64 alpha beta))) (-.f64 -2 beta))
(cbrt.f64 (pow.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta))) 3))
(/.f64 (/.f64 -1/2 (+.f64 (+.f64 3 beta) alpha)) (-.f64 -2 beta))
(/.f64 (/.f64 -1/2 (+.f64 3 (+.f64 alpha beta))) (-.f64 -2 beta))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1/2 (+.f64 beta 2)) 3) (pow.f64 (+.f64 3 (+.f64 beta alpha)) 3)))
(cbrt.f64 (/.f64 (/.f64 1/8 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (+.f64 (+.f64 3 beta) alpha) 3)))
(cbrt.f64 (/.f64 (/.f64 1/8 (pow.f64 (+.f64 beta 2) 3)) (pow.f64 (+.f64 3 (+.f64 alpha beta)) 3)))
(expm1.f64 (log1p.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta)))))
(/.f64 (/.f64 -1/2 (+.f64 (+.f64 3 beta) alpha)) (-.f64 -2 beta))
(/.f64 (/.f64 -1/2 (+.f64 3 (+.f64 alpha beta))) (-.f64 -2 beta))
(exp.f64 (log.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta)))))
(/.f64 (/.f64 -1/2 (+.f64 (+.f64 3 beta) alpha)) (-.f64 -2 beta))
(/.f64 (/.f64 -1/2 (+.f64 3 (+.f64 alpha beta))) (-.f64 -2 beta))
(exp.f64 (*.f64 (log.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta)))) 1))
(/.f64 (/.f64 -1/2 (+.f64 (+.f64 3 beta) alpha)) (-.f64 -2 beta))
(/.f64 (/.f64 -1/2 (+.f64 3 (+.f64 alpha beta))) (-.f64 -2 beta))
(log1p.f64 (expm1.f64 (/.f64 -1/2 (*.f64 (+.f64 3 (+.f64 beta alpha)) (-.f64 -2 beta)))))
(/.f64 (/.f64 -1/2 (+.f64 (+.f64 3 beta) alpha)) (-.f64 -2 beta))
(/.f64 (/.f64 -1/2 (+.f64 3 (+.f64 alpha beta))) (-.f64 -2 beta))

localize31.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 63 to 38 computations (39.7% saved)

series9.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite94.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
830×distribute-lft-neg-in
450×associate-+l+
414×+-commutative
384×add-sqr-sqrt
374×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01574
136574
2579974
Stop Event
1×node limit
Counts
2 → 94
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (+.f64 beta 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (+.f64 beta (+.f64 2 alpha))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (/.f64 1 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (+.f64 beta (+.f64 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(+.f64 beta 2)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 beta (+.f64 2 alpha))) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha)))) 2)) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (-.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 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 3))) (fma.f64 alpha alpha (*.f64 (+.f64 beta 2) (+.f64 beta (-.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 1) (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))) (/.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2) 1) 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*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2) (+.f64 alpha (+.f64 beta 3))) (/.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 beta (+.f64 2 alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2) (+.f64 beta (+.f64 2 alpha))) (/.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (+.f64 alpha (+.f64 beta 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))))) (/.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (sqrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha)))) 2)) (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) 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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 beta 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))))))

simplify398.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
862×distribute-lft-in
802×distribute-rgt-in
800×associate-*r*
722×*-commutative
692×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050310976
1173110616
Stop Event
1×node limit
Counts
130 → 227
Calls
Call 1
Inputs
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.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 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.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 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.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 7 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.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 3) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 7 (*.f64 2 alpha)) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.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 alpha) (+.f64 3 alpha)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.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 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 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.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 7 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))
(/.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 (/.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 6 (*.f64 2 alpha)))) (*.f64 2 (+.f64 5 (*.f64 2 alpha))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 alpha)) (pow.f64 beta 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 6 (*.f64 2 alpha)))) (*.f64 2 (+.f64 5 (*.f64 2 alpha))))) (pow.f64 beta 4))) (+.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 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 6 (*.f64 2 alpha)))) (*.f64 2 (+.f64 5 (*.f64 2 alpha))))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (*.f64 2 (+.f64 5 (*.f64 2 alpha)))) (+.f64 6 (*.f64 2 alpha)))) (*.f64 2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))) (pow.f64 beta 5))))))
(/.f64 1 (pow.f64 beta 2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 1 (pow.f64 beta 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) (+.f64 (*.f64 -1 (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))))) 1)) (*.f64 -1 (+.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 (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) (pow.f64 beta 3))) (+.f64 (/.f64 (*.f64 (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) (+.f64 (*.f64 (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) (+.f64 (*.f64 -1 (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))))) 1)) (*.f64 -1 (+.f64 (*.f64 -2 (+.f64 2 alpha)) (*.f64 (+.f64 3 alpha) (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))))) (pow.f64 beta 5)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (pow.f64 beta 5))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2) (+.f64 3 alpha)) (*.f64 -2 (+.f64 2 alpha))) (+.f64 (*.f64 -1 (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))))) 1)) (pow.f64 beta 5)) (+.f64 (/.f64 1 (pow.f64 beta 2)) (+.f64 (/.f64 1 (pow.f64 beta 3)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) (+.f64 (*.f64 -1 (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2))))) 1)) (*.f64 -1 (+.f64 (*.f64 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2) (+.f64 3 alpha)) (*.f64 -2 (+.f64 2 alpha))))) (pow.f64 beta 4)))))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2)))
(+.f64 (/.f64 1 (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (*.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) alpha)) (*.f64 (pow.f64 (+.f64 beta 3) 2) (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 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) alpha)) (*.f64 (pow.f64 (+.f64 beta 3) 2) (pow.f64 (+.f64 beta 2) 4)))) (+.f64 (/.f64 beta (*.f64 (+.f64 beta 3) (pow.f64 (+.f64 beta 2) 2))) (*.f64 -1 (*.f64 (+.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 beta 1) (pow.f64 (+.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 2)) (pow.f64 (+.f64 beta 2) 2)) 2)) (*.f64 (pow.f64 (+.f64 beta 3) 3) (pow.f64 (+.f64 beta 2) 6)))))) (pow.f64 alpha 2))))))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (pow.f64 alpha 2)))
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1/2
(+.f64 1/2 (*.f64 1/4 beta))
(+.f64 (*.f64 -1/8 (pow.f64 beta 2)) (+.f64 1/2 (*.f64 1/4 beta)))
(+.f64 (*.f64 -1/8 (pow.f64 beta 2)) (+.f64 1/2 (+.f64 (*.f64 1/4 beta) (*.f64 1/16 (pow.f64 beta 3)))))
1
(-.f64 1 (/.f64 1 beta))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) (/.f64 1 beta))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))))
1
(-.f64 1 (/.f64 1 beta))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) (/.f64 1 beta))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 beta 2)))) (+.f64 (/.f64 1 beta) (*.f64 4 (/.f64 1 (pow.f64 beta 3)))))
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(pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (+.f64 beta (+.f64 2 alpha)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (+.f64 beta (+.f64 2 alpha))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))))) -1)
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(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 2))))) 1))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))) 1)
(*.f64 1 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
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(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (*.f64 (cbrt.f64 (+.f64 beta 1)) (/.f64 1 (+.f64 beta 2))))
(*.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 1))
(*.f64 (-.f64 -1 beta) (neg.f64 (/.f64 1 (+.f64 beta 2))))
(*.f64 (-.f64 -1 beta) (/.f64 1 (-.f64 -2 beta)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (+.f64 beta 1) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta beta -4)) (+.f64 beta -2))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(*.f64 -1 (/.f64 (-.f64 -1 beta) (+.f64 beta 2)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2)) (neg.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (+.f64 beta 2)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 1)) (+.f64 beta 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 (+.f64 beta 1)) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2)))) (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2))))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))) (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2))) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) -1)
(neg.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 beta 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 2))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
Outputs
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))
(/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.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 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))
(fma.f64 beta (+.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 -1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))))
(fma.f64 beta (+.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) -1/4)) (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.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 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.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 7 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))))
(fma.f64 beta (+.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 -1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (fma.f64 -1 (*.f64 (*.f64 beta beta) (fma.f64 1/2 (*.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 -1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 2 alpha)) (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (+.f64 alpha 3))) (*.f64 1/4 (/.f64 (+.f64 7 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2)))))) (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))))
(fma.f64 beta (+.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) -1/4)) (-.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 (*.f64 beta beta) (fma.f64 1/2 (*.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) -1/4)) (+.f64 2 alpha)) (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (+.f64 alpha 3))) (*.f64 1/4 (/.f64 (+.f64 7 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))))))
(+.f64 (*.f64 beta (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.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 3) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 7 (*.f64 2 alpha)) (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.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 alpha) (+.f64 3 alpha)))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2)))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.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 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 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (*.f64 1/4 (/.f64 (+.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 7 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 3 alpha) 2))))))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))))))
(fma.f64 beta (+.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 -1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (fma.f64 -1 (*.f64 (pow.f64 beta 3) (fma.f64 1/2 (*.f64 (/.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 2 alpha)) (/.f64 (+.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 -1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 alpha 3))) (+.f64 (/.f64 1/4 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) (*.f64 -1/2 (/.f64 (fma.f64 1/2 (*.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 -1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 2 alpha)) (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (+.f64 alpha 3))) (*.f64 1/4 (/.f64 (+.f64 7 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (/.f64 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)) (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))))))))) (fma.f64 -1 (*.f64 (*.f64 beta beta) (fma.f64 1/2 (*.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 -1/4 (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))) (+.f64 2 alpha)) (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (+.f64 alpha 3))) (*.f64 1/4 (/.f64 (+.f64 7 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2)))))) (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))))))
(fma.f64 beta (+.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) -1/4)) (-.f64 (-.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 (*.f64 beta beta) (fma.f64 1/2 (*.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) -1/4)) (+.f64 2 alpha)) (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (+.f64 alpha 3))) (*.f64 1/4 (/.f64 (+.f64 7 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))))))) (*.f64 (pow.f64 beta 3) (fma.f64 1/2 (*.f64 (/.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 2 alpha)) (/.f64 (+.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) -1/4)) (+.f64 alpha 3))) (+.f64 (/.f64 1/4 (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) (/.f64 (*.f64 (*.f64 -1/2 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5)))) (fma.f64 1/2 (*.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))) (*.f64 (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2))) -1/4)) (+.f64 2 alpha)) (/.f64 (fma.f64 2 (+.f64 alpha 3) (*.f64 (+.f64 2 alpha) (+.f64 alpha 5))) (+.f64 alpha 3))) (*.f64 1/4 (/.f64 (+.f64 7 (*.f64 2 alpha)) (*.f64 (pow.f64 (+.f64 2 alpha) 2) (pow.f64 (+.f64 alpha 3) 2)))))) (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))))))))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 (*.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 (/.f64 1 beta) beta) (/.f64 2 (/.f64 (pow.f64 beta 3) (+.f64 alpha 3))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 6 (*.f64 2 alpha)))) (*.f64 2 (+.f64 5 (*.f64 2 alpha))))) (pow.f64 beta 4))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (*.f64 -1 (/.f64 (+.f64 6 (*.f64 2 alpha)) (pow.f64 beta 3)))))
(fma.f64 -1 (/.f64 (fma.f64 (+.f64 2 alpha) (+.f64 alpha 3) (fma.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 (*.f64 2 alpha) 6)) (+.f64 10 (*.f64 2 (*.f64 2 alpha))))) (pow.f64 beta 4)) (+.f64 (/.f64 1 (*.f64 beta beta)) (neg.f64 (/.f64 (+.f64 (*.f64 2 alpha) 6) (pow.f64 beta 3)))))
(-.f64 (-.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 2 (/.f64 (pow.f64 beta 3) (+.f64 alpha 3)))) (/.f64 (+.f64 (*.f64 (+.f64 7 (*.f64 2 alpha)) (*.f64 -2 (+.f64 alpha 3))) (fma.f64 (+.f64 2 alpha) (+.f64 alpha 3) (+.f64 10 (*.f64 alpha 4)))) (pow.f64 beta 4)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 6 (*.f64 2 alpha)))) (*.f64 2 (+.f64 5 (*.f64 2 alpha))))) (pow.f64 beta 4))) (+.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 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (+.f64 (*.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 6 (*.f64 2 alpha)))) (*.f64 2 (+.f64 5 (*.f64 2 alpha))))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)) (*.f64 2 (+.f64 5 (*.f64 2 alpha)))) (+.f64 6 (*.f64 2 alpha)))) (*.f64 2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))))) (pow.f64 beta 5))))))
(fma.f64 -1 (/.f64 (fma.f64 (+.f64 2 alpha) (+.f64 alpha 3) (fma.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 (*.f64 2 alpha) 6)) (+.f64 10 (*.f64 2 (*.f64 2 alpha))))) (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 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (fma.f64 (+.f64 2 alpha) (+.f64 alpha 3) (fma.f64 -1 (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 (*.f64 2 alpha) 6)) (+.f64 10 (*.f64 2 (*.f64 2 alpha)))))) (fma.f64 -1 (*.f64 (+.f64 (*.f64 2 alpha) 6) (fma.f64 (+.f64 2 alpha) (+.f64 alpha 3) (+.f64 10 (*.f64 2 (*.f64 2 alpha))))) (*.f64 2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3))))) (pow.f64 beta 5))))))
(-.f64 (+.f64 (/.f64 (/.f64 1 beta) beta) (-.f64 (/.f64 (*.f64 -2 (+.f64 alpha 3)) (pow.f64 beta 3)) (/.f64 (-.f64 (+.f64 (*.f64 (fma.f64 (+.f64 2 alpha) (+.f64 alpha 3) (+.f64 10 (*.f64 alpha 4))) (*.f64 -2 (+.f64 alpha 3))) (*.f64 2 (*.f64 (+.f64 2 alpha) (+.f64 alpha 3)))) (*.f64 (+.f64 7 (*.f64 2 alpha)) (+.f64 (*.f64 (+.f64 7 (*.f64 2 alpha)) (*.f64 -2 (+.f64 alpha 3))) (fma.f64 (+.f64 2 alpha) (+.f64 alpha 3) (+.f64 10 (*.f64 alpha 4)))))) (pow.f64 beta 5)))) (/.f64 (+.f64 (*.f64 (+.f64 7 (*.f64 2 alpha)) (*.f64 -2 (+.f64 alpha 3))) (fma.f64 (+.f64 2 alpha) (+.f64 alpha 3) (+.f64 10 (*.f64 alpha 4)))) (pow.f64 beta 4)))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(+.f64 (*.f64 -1 (/.f64 (+.f64 3 (+.f64 alpha (*.f64 -1 (-.f64 (*.f64 -1 (+.f64 2 alpha)) 2)))) (pow.f64 beta 3))) (+.f64 (/.f64 1 (pow.f64 beta 2)) (/.f64 1 (pow.f64 beta 3))))
(fma.f64 -1 (/.f64 (+.f64 3 (+.f64 alpha (neg.f64 (fma.f64 -1 (+.f64 2 alpha) -2)))) (pow.f64 beta 3)) (+.f64 (/.f64 1 (*.f64 beta beta)) (/.f64 1 (pow.f64 beta 3))))
(-.f64 (+.f64 (/.f64 (/.f64 1 beta) beta) (/.f64 1 (pow.f64 beta 3))) (/.f64 (+.f64 3 (-.f64 alpha (fma.f64 -1 (+.f64 2 alpha) -2))) (pow.f64 beta 3)))
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1/2
(+.f64 1/2 (*.f64 1/4 beta))
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(+.f64 (*.f64 -1/8 (pow.f64 beta 2)) (+.f64 1/2 (*.f64 1/4 beta)))
(fma.f64 -1/8 (*.f64 beta beta) (+.f64 1/2 (*.f64 beta 1/4)))
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(fma.f64 -1/8 (*.f64 beta beta) (+.f64 1/2 (fma.f64 1/4 beta (*.f64 (pow.f64 beta 3) 1/16))))
1
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1
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(pow.f64 (/.f64 (+.f64 beta (+.f64 2 alpha)) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3))))) -1)
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 2 alpha) beta) (*.f64 (+.f64 2 beta) (+.f64 alpha (+.f64 3 beta)))))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 2 alpha) beta) (*.f64 (+.f64 2 beta) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (+.f64 beta 1) (*.f64 (-.f64 beta -2) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 2 (+.f64 alpha beta)))))
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(/.f64 (+.f64 beta 1) (*.f64 (-.f64 beta -2) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 2 (+.f64 alpha beta)))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 3) (pow.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 beta (+.f64 2 alpha))) 3)))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 2 alpha) beta) (*.f64 (+.f64 2 beta) (+.f64 alpha (+.f64 3 beta)))))
(/.f64 (+.f64 beta 1) (*.f64 (-.f64 beta -2) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 2 (+.f64 alpha beta)))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 beta (+.f64 2 alpha)) (+.f64 beta 2))))))
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(log1p.f64 (expm1.f64 (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) (+.f64 alpha (+.f64 beta 3)))) (+.f64 beta (+.f64 2 alpha)))))
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(/.f64 (+.f64 beta 1) (*.f64 (-.f64 beta -2) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 2 (+.f64 alpha beta)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))) 1)
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(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(*.f64 1 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(*.f64 (+.f64 beta 1) (/.f64 1 (+.f64 beta 2)))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 1)
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(*.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(*.f64 (hypot.f64 1 (sqrt.f64 beta)) (*.f64 (hypot.f64 1 (sqrt.f64 beta)) (/.f64 1 (+.f64 beta 2))))
(*.f64 (hypot.f64 1 (sqrt.f64 beta)) (*.f64 (/.f64 1 (+.f64 2 beta)) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (hypot.f64 1 (sqrt.f64 beta)) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (-.f64 beta -2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (*.f64 (cbrt.f64 (+.f64 beta 1)) (/.f64 1 (+.f64 beta 2))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (cbrt.f64 (+.f64 beta 1))) (/.f64 1 (+.f64 2 beta)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 beta 1)) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (-.f64 beta -2))
(*.f64 (/.f64 1 (+.f64 beta 2)) (+.f64 beta 1))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(*.f64 (-.f64 -1 beta) (neg.f64 (/.f64 1 (+.f64 beta 2))))
(*.f64 (-.f64 -1 beta) (/.f64 -1 (+.f64 2 beta)))
(/.f64 (neg.f64 (-.f64 -1 beta)) (-.f64 beta -2))
(*.f64 (-.f64 -1 beta) (/.f64 1 (-.f64 -2 beta)))
(/.f64 (-.f64 -1 beta) (-.f64 -2 beta))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta 2))) (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 2 beta))) (/.f64 (+.f64 beta 1) (sqrt.f64 (+.f64 2 beta))))
(/.f64 (/.f64 (+.f64 beta 1) (sqrt.f64 (-.f64 beta -2))) (sqrt.f64 (-.f64 beta -2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (+.f64 beta 1) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (/.f64 (+.f64 beta 1) (cbrt.f64 (+.f64 2 beta))))
(/.f64 (/.f64 (+.f64 beta 1) (cbrt.f64 (-.f64 beta -2))) (pow.f64 (cbrt.f64 (-.f64 beta -2)) 2))
(*.f64 (/.f64 (+.f64 beta 1) (fma.f64 beta beta -4)) (+.f64 beta -2))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 8 (pow.f64 beta 3))) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(/.f64 (*.f64 (+.f64 beta 1) (+.f64 4 (*.f64 beta (+.f64 beta -2)))) (+.f64 (pow.f64 beta 3) 8))
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 (pow.f64 beta 3) 8)) (+.f64 4 (*.f64 beta (+.f64 beta -2))))
(*.f64 -1 (/.f64 (-.f64 -1 beta) (+.f64 beta 2)))
(*.f64 (-.f64 -1 beta) (/.f64 -1 (+.f64 2 beta)))
(/.f64 (neg.f64 (-.f64 -1 beta)) (-.f64 beta -2))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2)) (neg.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (+.f64 beta 2)))
(*.f64 (hypot.f64 1 (sqrt.f64 beta)) (*.f64 (/.f64 1 (+.f64 2 beta)) (hypot.f64 1 (sqrt.f64 beta))))
(*.f64 (hypot.f64 1 (sqrt.f64 beta)) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (-.f64 beta -2)))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (cbrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (cbrt.f64 (+.f64 2 beta))))
(*.f64 (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (pow.f64 (cbrt.f64 (-.f64 beta -2)) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 beta)) (cbrt.f64 (-.f64 beta -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 beta 1)) (+.f64 beta 2)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (cbrt.f64 (+.f64 beta 1))) (/.f64 1 (+.f64 2 beta)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 beta 1)) (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)) (-.f64 beta -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (sqrt.f64 (+.f64 beta 2))) (/.f64 (cbrt.f64 (+.f64 beta 1)) (sqrt.f64 (+.f64 beta 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (sqrt.f64 (+.f64 2 beta))) (/.f64 (cbrt.f64 (+.f64 beta 1)) (sqrt.f64 (+.f64 2 beta))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (/.f64 (sqrt.f64 (-.f64 beta -2)) (/.f64 (cbrt.f64 (+.f64 beta 1)) (sqrt.f64 (-.f64 beta -2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (pow.f64 (cbrt.f64 (+.f64 beta 2)) 2)) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (pow.f64 (cbrt.f64 (+.f64 2 beta)) 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (-.f64 beta -2))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (pow.f64 (cbrt.f64 (-.f64 beta -2)) 2)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2)))) (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta)))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) (sqrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2))))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (+.f64 2 beta))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2))) (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)))) (neg.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (-.f64 beta -2)))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))) (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2))) (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 1)
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 2)
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))) 3)
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(pow.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 3) 1/3)
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(pow.f64 (/.f64 (+.f64 beta 2) (+.f64 beta 1)) -1)
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(neg.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2)))
(*.f64 (-.f64 -1 beta) (/.f64 -1 (+.f64 2 beta)))
(/.f64 (neg.f64 (-.f64 -1 beta)) (-.f64 beta -2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 beta)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (-.f64 beta -2)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)))))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) 3))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 beta 2) 3)))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 2))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 2 beta))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (-.f64 beta -2))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 beta 2))) 1))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (+.f64 2 beta))))
(exp.f64 (-.f64 (log1p.f64 beta) (log.f64 (-.f64 beta -2))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2))))
(/.f64 (+.f64 beta 1) (+.f64 2 beta))
(/.f64 (+.f64 beta 1) (-.f64 beta -2))

eval1.2s (6.2%)

Compiler

Compiled 49644 to 36533 computations (26.4% saved)

prune397.0ms (2.1%)

Pruning

23 alts after pruning (19 fresh and 4 done)

PrunedKeptTotal
New112771134
Fresh61218
Picked101
Done347
Total1137231160
Error
0b
Counts
1160 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
29.1b
(pow.f64 beta -2)
28.0b
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 alpha (+.f64 beta 2))))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 alpha (+.f64 beta 2)))))
2.4b
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
▶22.7b
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
✓12.8b
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
▶27.5b
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
12.8b
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
▶29.1b
(/.f64 (/.f64 1 beta) beta)
13.2b
(/.f64 (/.f64 1/2 (+.f64 3 beta)) (+.f64 beta 2))
5.9b
(/.f64 (+.f64 beta 1) (*.f64 (-.f64 beta -2) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 2 (+.f64 alpha beta)))))
24.3b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
✓28.8b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
✓0.1b
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
▶2.2b
(/.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
41.7b
(/.f64 (*.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
40.3b
(/.f64 alpha (*.f64 beta beta))
24.9b
(/.f64 1 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
29.4b
(/.f64 1 (*.f64 beta beta))
▶62.4b
(/.f64 1/3 alpha)
35.6b
(/.f64 1/4 (+.f64 3 alpha))
✓0.1b
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
28.0b
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
28.8b
(*.f64 (neg.f64 (+.f64 1 alpha)) (/.f64 1 (*.f64 beta (neg.f64 beta))))
Compiler

Compiled 676 to 482 computations (28.7% saved)

localize32.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
✓0.1b
(/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 -2 (+.f64 alpha beta)))
✓20.8b
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta))
Compiler

Compiled 83 to 54 computations (34.9% saved)

series30.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
21.0ms
alpha
@inf
(/.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
1.0ms
alpha
@-inf
(/.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
1.0ms
beta
@0
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta))
1.0ms
beta
@-inf
(/.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
1.0ms
beta
@0
(/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 -2 (+.f64 alpha beta)))

rewrite111.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
468×+-commutative
468×add-sqr-sqrt
452×pow1
452×*-un-lft-identity
438×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019135
1455123
26689123
Stop Event
1×node limit
Counts
3 → 125
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta))
(/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 -2 (+.f64 alpha beta)))
(/.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
Outputs
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(cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) (+.f64 beta (+.f64 alpha 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3)))))))) 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expm1.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3)))))))))

simplify134.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1114×distribute-lft-in
1050×associate-*r*
918×*-commutative
906×associate-/r*
902×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073417349
1250716909
Stop Event
1×node limit
Counts
197 → 347
Calls
Call 1
Inputs
(/.f64 1/2 (+.f64 2 alpha))
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (+.f64 4 alpha) (pow.f64 (+.f64 2 alpha) 2)))) beta) (*.f64 1/2 (/.f64 1 (+.f64 2 alpha))))
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (+.f64 4 alpha) (pow.f64 (+.f64 2 alpha) 2)))) beta) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (+.f64 4 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 4 alpha)) (+.f64 2 alpha))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 1/2 (/.f64 1 (+.f64 2 alpha)))))
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (+.f64 4 alpha) (pow.f64 (+.f64 2 alpha) 2)))) beta) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (+.f64 4 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 4 alpha)) (+.f64 2 alpha))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (+.f64 4 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 2 alpha))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 4 alpha) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 4 alpha) (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (+.f64 4 alpha) (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 2 alpha))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))))) (+.f64 2 alpha)))))) (*.f64 1/2 (/.f64 1 (+.f64 2 alpha))))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 4 alpha) (+.f64 3 alpha))) (*.f64 2 (+.f64 2 alpha))) (pow.f64 beta 3)))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 4 alpha) (+.f64 3 alpha))) (*.f64 2 (+.f64 2 alpha))) (pow.f64 beta 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 4 alpha) (+.f64 (*.f64 -1 (*.f64 (+.f64 4 alpha) (+.f64 3 alpha))) (*.f64 2 (+.f64 2 alpha))))) (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha)))) (pow.f64 beta 4))))))
(/.f64 1 beta)
(+.f64 (/.f64 1 beta) (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))))
(+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))) (+.f64 (*.f64 -2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 3))) (/.f64 (*.f64 (+.f64 4 alpha) (+.f64 3 alpha)) (pow.f64 beta 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (*.f64 (+.f64 2 alpha) (+.f64 3 alpha))) (*.f64 (+.f64 (*.f64 (+.f64 4 alpha) (+.f64 3 alpha)) (*.f64 -2 (+.f64 2 alpha))) (+.f64 4 alpha))) (pow.f64 beta 4))) (+.f64 (/.f64 1 beta) (+.f64 (*.f64 -1 (/.f64 (+.f64 3 alpha) (pow.f64 beta 2))) (+.f64 (*.f64 -2 (/.f64 (+.f64 2 alpha) (pow.f64 beta 3))) (/.f64 (*.f64 (+.f64 4 alpha) (+.f64 3 alpha)) (pow.f64 beta 3))))))
(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
(+.f64 (/.f64 beta (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (*.f64 (+.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 (pow.f64 (+.f64 beta 2) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))))
(+.f64 (*.f64 -1 (*.f64 (+.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 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) alpha)) (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 beta 2) 3)) (/.f64 beta (pow.f64 (+.f64 beta 2) 3))) (pow.f64 alpha 2)) (+.f64 beta 2)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (*.f64 (+.f64 beta 2) alpha))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (*.f64 (+.f64 beta 2) alpha)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (*.f64 (+.f64 beta 2) alpha))))))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) alpha))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2))) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (*.f64 (+.f64 beta 2) alpha))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (*.f64 (+.f64 beta 2) alpha)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 beta 1) (pow.f64 alpha 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2)) (pow.f64 alpha 4))) (+.f64 (/.f64 (*.f64 (+.f64 beta 1) (+.f64 beta 2)) (pow.f64 alpha 3)) (+.f64 (/.f64 1 (*.f64 (+.f64 beta 2) alpha)) (/.f64 beta (*.f64 (+.f64 beta 2) alpha))))))
(/.f64 -1/2 (+.f64 2 alpha))
(-.f64 (*.f64 1/4 (/.f64 (*.f64 (+.f64 4 alpha) beta) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/2 (/.f64 1 (+.f64 2 alpha))))
(-.f64 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/8 (/.f64 (pow.f64 (+.f64 4 alpha) 2) (pow.f64 (+.f64 2 alpha) 3))))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 4 alpha) beta) (pow.f64 (+.f64 2 alpha) 2)))) (*.f64 1/2 (/.f64 1 (+.f64 2 alpha))))
(-.f64 (+.f64 (*.f64 (pow.f64 beta 2) (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/8 (/.f64 (pow.f64 (+.f64 4 alpha) 2) (pow.f64 (+.f64 2 alpha) 3))))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (+.f64 4 alpha) beta) (pow.f64 (+.f64 2 alpha) 2))) (*.f64 -1 (*.f64 (pow.f64 beta 3) (+.f64 (*.f64 1/8 (/.f64 (+.f64 4 alpha) (pow.f64 (+.f64 2 alpha) 3))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 4 alpha) (-.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2))) (*.f64 1/8 (/.f64 (pow.f64 (+.f64 4 alpha) 2) (pow.f64 (+.f64 2 alpha) 3))))) (+.f64 2 alpha)))))))) (*.f64 1/2 (/.f64 1 (+.f64 2 alpha))))
(/.f64 -1 (pow.f64 beta 2))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 2)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (+.f64 2 alpha)) (pow.f64 (+.f64 4 alpha) 2)) (pow.f64 beta 4))) (/.f64 alpha (pow.f64 beta 3)))) (/.f64 1 (pow.f64 beta 2)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (+.f64 2 alpha)) (pow.f64 (+.f64 4 alpha) 2)) (pow.f64 beta 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 4 alpha) (+.f64 (*.f64 -2 (+.f64 2 alpha)) (pow.f64 (+.f64 4 alpha) 2)))) (*.f64 2 (*.f64 (+.f64 4 alpha) (+.f64 2 alpha)))) (pow.f64 beta 5))) (/.f64 alpha (pow.f64 beta 3))))) (/.f64 1 (pow.f64 beta 2)))
(/.f64 -1 (pow.f64 beta 2))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (/.f64 alpha (pow.f64 beta 3))) (/.f64 1 (pow.f64 beta 2)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (+.f64 2 alpha)) (pow.f64 (+.f64 4 alpha) 2)) (pow.f64 beta 4))) (/.f64 alpha (pow.f64 beta 3)))) (/.f64 1 (pow.f64 beta 2)))
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 4 alpha) (+.f64 (*.f64 -2 (+.f64 2 alpha)) (pow.f64 (+.f64 4 alpha) 2))) (pow.f64 beta 5)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 beta 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (+.f64 2 alpha)) (pow.f64 (+.f64 4 alpha) 2)) (pow.f64 beta 4))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (+.f64 4 alpha) (+.f64 2 alpha)) (pow.f64 beta 5))) (/.f64 alpha (pow.f64 beta 3)))))) (/.f64 1 (pow.f64 beta 2)))
(/.f64 -1 (pow.f64 (+.f64 beta 2) 2))
(-.f64 (/.f64 alpha (pow.f64 (+.f64 beta 2) 3)) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))
(-.f64 (+.f64 (/.f64 alpha (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 4)))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))
(-.f64 (+.f64 (/.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 2) 5)) (+.f64 (/.f64 alpha (pow.f64 (+.f64 beta 2) 3)) (*.f64 -1 (/.f64 (pow.f64 alpha 2) (pow.f64 (+.f64 beta 2) 4))))) (/.f64 1 (pow.f64 (+.f64 beta 2) 2)))
(/.f64 -1 (*.f64 (+.f64 beta 2) alpha))
(-.f64 (/.f64 1 (pow.f64 alpha 2)) (/.f64 1 (*.f64 (+.f64 beta 2) alpha)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 alpha 2)) (*.f64 -1 (/.f64 (+.f64 beta 2) (pow.f64 alpha 3)))) (/.f64 1 (*.f64 (+.f64 beta 2) alpha)))
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(/.f64 (neg.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2))) (neg.f64 (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 (*.f64 (/.f64 1 (-.f64 -2 beta)) (-.f64 1 (*.f64 beta beta))) (*.f64 (neg.f64 (-.f64 (-.f64 -2 alpha) beta)) (+.f64 beta -1)))
(/.f64 (*.f64 (/.f64 1 (-.f64 -2 beta)) (-.f64 -1 (pow.f64 beta 3))) (*.f64 (neg.f64 (-.f64 (-.f64 -2 alpha) beta)) (+.f64 1 (*.f64 beta (+.f64 beta -1)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 beta beta)) 1) (*.f64 (+.f64 beta -1) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))))
(/.f64 (*.f64 (-.f64 1 (*.f64 beta beta)) (/.f64 1 (+.f64 beta 2))) (*.f64 (+.f64 beta -1) (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 (*.f64 (-.f64 1 (*.f64 beta beta)) (/.f64 1 (-.f64 -2 beta))) (*.f64 (+.f64 beta -1) (neg.f64 (-.f64 (-.f64 -2 alpha) beta))))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 beta 3)) 1) (*.f64 (+.f64 1 (*.f64 beta (+.f64 beta -1))) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 beta 3)) (/.f64 1 (+.f64 beta 2))) (*.f64 (+.f64 1 (*.f64 beta (+.f64 beta -1))) (-.f64 (-.f64 -2 alpha) beta)))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 beta 3)) (/.f64 1 (-.f64 -2 beta))) (*.f64 (+.f64 1 (*.f64 beta (+.f64 beta -1))) (neg.f64 (-.f64 (-.f64 -2 alpha) beta))))
(pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) 3) (pow.f64 (-.f64 -1 beta) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 -1 beta) 3) (pow.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))))
(exp.f64 (log.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))))) 1)
(*.f64 1 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))))
(*.f64 (/.f64 1 (+.f64 beta 2)) (/.f64 1 (-.f64 (-.f64 -2 alpha) beta)))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) 1)
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) (/.f64 1 (sqrt.f64 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))))
(*.f64 (pow.f64 (+.f64 beta 2) -1/2) (*.f64 (pow.f64 (+.f64 beta 2) -1/2) (/.f64 1 (-.f64 (-.f64 -2 alpha) beta))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) 2) (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)) (*.f64 (/.f64 1 (cbrt.f64 (+.f64 beta 2))) (/.f64 1 (-.f64 (-.f64 -2 alpha) beta))))
(*.f64 (/.f64 1 (-.f64 (-.f64 -2 alpha) beta)) (/.f64 1 (+.f64 beta 2)))
(*.f64 (/.f64 1 (-.f64 -2 beta)) (/.f64 1 (neg.f64 (-.f64 (-.f64 -2 alpha) beta))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 (-.f64 -2 alpha) beta))) (/.f64 (/.f64 1 (+.f64 beta 2)) (sqrt.f64 (-.f64 (-.f64 -2 alpha) beta))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (-.f64 -2 alpha) beta)) 2)) (/.f64 (/.f64 1 (+.f64 beta 2)) (cbrt.f64 (-.f64 (-.f64 -2 alpha) beta))))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 4 (pow.f64 (+.f64 beta alpha) 2))) (+.f64 beta (+.f64 -2 alpha)))
(*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 -8 (pow.f64 (+.f64 beta alpha) 3))) (+.f64 4 (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 -2 alpha)))))
(*.f64 (/.f64 (pow.f64 (+.f64 beta 2) -1/2) 1) (/.f64 (pow.f64 (+.f64 beta 2) -1/2) (-.f64 (-.f64 -2 alpha) beta)))
(*.f64 (/.f64 (pow.f64 (+.f64 beta 2) -1/2) (pow.f64 (cbrt.f64 (-.f64 (-.f64 -2 alpha) beta)) 2)) (/.f64 (pow.f64 (+.f64 beta 2) -1/2) (cbrt.f64 (-.f64 (-.f64 -2 alpha) beta))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 beta 2))) (-.f64 (-.f64 -2 alpha) beta)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)) (sqrt.f64 (-.f64 (-.f64 -2 alpha) beta))) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 beta 2))) (sqrt.f64 (-.f64 (-.f64 -2 alpha) beta))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 beta 2) -2)) (pow.f64 (cbrt.f64 (-.f64 (-.f64 -2 alpha) beta)) 2)) (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))))
(pow.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) 1)
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) 3) 1/3)
(pow.f64 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)) -1)
(neg.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (neg.f64 (-.f64 (-.f64 -2 alpha) beta))))
(sqrt.f64 (/.f64 (pow.f64 (+.f64 beta 2) -2) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 2)))
(log.f64 (exp.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))))))
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (+.f64 beta 2)) 3) (pow.f64 (-.f64 (-.f64 -2 alpha) beta) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))))
(exp.f64 (neg.f64 (log.f64 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3))))) 1)
(*.f64 1 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (*.f64 (-.f64 -1 beta) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -1 beta))))
(*.f64 (-.f64 -1 beta) (*.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (/.f64 1 (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3))) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3)))) (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) 2) (*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) (/.f64 1 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3)))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3))) 2)) (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 1 (+.f64 beta (+.f64 alpha 3))) (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))))
(*.f64 (/.f64 (neg.f64 (/.f64 (-.f64 -1 beta) (+.f64 beta 2))) (-.f64 (-.f64 -2 alpha) beta)) (/.f64 1 (-.f64 -3 (+.f64 beta alpha))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (-.f64 -1 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3))) (-.f64 -1 beta))
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 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 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) 1) (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (-.f64 -1 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (-.f64 -1 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (-.f64 -1 beta) 1) (/.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (-.f64 -1 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) 1) (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) (+.f64 beta (+.f64 alpha 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3)))))
(pow.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3))) 1)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3))) 3) 1/3)
(pow.f64 (*.f64 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -1 beta))) -1)
(neg.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (-.f64 -3 (+.f64 beta alpha))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) 3) (pow.f64 (+.f64 beta (+.f64 alpha 3)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3)))))
(exp.f64 (log.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3)))))
Outputs
(/.f64 1/2 (+.f64 2 alpha))
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (+.f64 4 alpha) (pow.f64 (+.f64 2 alpha) 2)))) beta) (*.f64 1/2 (/.f64 1 (+.f64 2 alpha))))
(fma.f64 (+.f64 (/.f64 1/2 (+.f64 2 alpha)) (*.f64 -1/4 (/.f64 (+.f64 alpha 4) (pow.f64 (+.f64 2 alpha) 2)))) beta (/.f64 1/2 (+.f64 2 alpha)))
(fma.f64 (+.f64 (/.f64 1/2 (+.f64 2 alpha)) (/.f64 (*.f64 -1/4 (+.f64 alpha 4)) (pow.f64 (+.f64 2 alpha) 2))) beta (/.f64 1/2 (+.f64 2 alpha)))
(+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (+.f64 4 alpha) (pow.f64 (+.f64 2 alpha) 2)))) beta) (+.f64 (*.f64 -1 (*.f64 (pow.f64 beta 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 2 alpha))) (*.f64 1/4 (/.f64 (+.f64 4 alpha) (pow.f64 (+.f64 2 alpha) 2)))) (+.f64 4 alpha)) (+.f64 2 alpha))) (*.f64 1/4 (/.f64 1 (pow.f64 (+.f64 2 alpha) 2)))))) (*.f64 1/2 (/.f64 1 (+.f64 2 alpha)))))
(fma.f64 (+.f64 (/.f64 1/2 (+.f64 2 alpha)) (*.f64 -1/4 (/.f64 (+.f64 alpha 4) (pow.f64 (+.f64 2 alpha) 2)))) beta (fma.f64 -1 (*.f64 (*.f64 beta beta) (fma.f64 1/2 (/.f64 (+.f64 alpha 4) (/.f64 (+.f64 2 alpha) (+.f64 (/.f64 1/2 (+.f64 2 alpha)) (*.f64 -1/4 (/.f64 (+.f64 alpha 4) (pow.f64 (+.f64 2 alpha) 2)))))) (/.f64 1/4 (pow.f64 (+.f64 2 alpha) 2)))) (/.f64 1/2 (+.f64 2 alpha))))
(fma.f64 (+.f64 (/.f64 1/2 (+.f64 2 alpha)) (/.f64 (*.f64 -1/4 (+.f64 alpha 4)) (pow.f64 (+.f64 2 alpha) 2))) beta (fma.f64 -1 (*.f64 beta (*.f64 beta (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1/2 (pow.f64 (+.f64 2 alpha) 2)) (/.f64 (*.f64 1/4 (+.f64 alpha 4)) (pow.f64 (+.f64 2 alpha) 3))) (+.f64 alpha 4)) (/.f64 1/4 (pow.f64 (+.f64 2 alpha) 2))))) (/.f64 1/2 (+.f64 2 alpha))))
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(/.f64 1 beta)
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(/.f64 (+.f64 beta 1) (pow.f64 (+.f64 beta 2) 2))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 1 beta) (*.f64 alpha (+.f64 2 beta)))
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(/.f64 (+.f64 beta 1) (*.f64 (+.f64 beta 2) alpha))
(/.f64 (+.f64 1 beta) (*.f64 alpha (+.f64 2 beta)))
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(fma.f64 -1 (/.f64 (+.f64 1 beta) (*.f64 alpha alpha)) (+.f64 (+.f64 (/.f64 1 (*.f64 alpha (+.f64 2 beta))) (/.f64 beta (*.f64 alpha (+.f64 2 beta)))) (/.f64 (+.f64 1 beta) (/.f64 (pow.f64 alpha 3) (+.f64 2 beta)))))
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(/.f64 -1/2 (+.f64 2 alpha))
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(/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) (-.f64 -2 (+.f64 alpha beta))) (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2))
(*.f64 (/.f64 (-.f64 -1 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3))) (-.f64 -1 beta))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2))) (-.f64 alpha (+.f64 beta 3)))
(/.f64 (*.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))) (-.f64 alpha (+.f64 beta 3))) (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 beta 3) 2)))
(*.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.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 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 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 (/.f64 (-.f64 -1 beta) (*.f64 (+.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 beta (-.f64 3 alpha)))))
(*.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (+.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 beta (-.f64 3 alpha)))))
(*.f64 (/.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) 1) (/.f64 (-.f64 -1 beta) (+.f64 beta (+.f64 alpha 3))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (-.f64 -1 beta) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (-.f64 -1 beta) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (-.f64 -1 beta) (*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta))))))
(/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) (-.f64 -2 (+.f64 alpha beta))) (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2))
(*.f64 (/.f64 (-.f64 -1 beta) 1) (/.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (-.f64 -1 beta) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (/.f64 1 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (-.f64 -1 beta) (*.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta))))))
(/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (*.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) (-.f64 -2 (+.f64 alpha beta))) (+.f64 2 beta))) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) 1) (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) (+.f64 beta (+.f64 alpha 3))))
(/.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta))))) 2) (+.f64 beta (+.f64 alpha 3)))
(/.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta))))) 2) (+.f64 alpha (+.f64 beta 3)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta))))) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta))))) (cbrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (/.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta))))) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)) (cbrt.f64 (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) (+.f64 beta (+.f64 alpha 3))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) 2) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))) (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))) (sqrt.f64 (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)))) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)) (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta))))) 2) (pow.f64 (cbrt.f64 (+.f64 beta (+.f64 alpha 3))) 2)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3)))))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta))))) 2) (pow.f64 (cbrt.f64 (+.f64 alpha (+.f64 beta 3))) 2)))
(pow.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3))) 1)
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3)))))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3)))) 2)
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3)))))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3)))) 3)
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3)))))
(pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3))) 3) 1/3)
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3)))))
(pow.f64 (*.f64 (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta)) (/.f64 (+.f64 beta (+.f64 alpha 3)) (-.f64 -1 beta))) -1)
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3)))))
(neg.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (-.f64 -3 (+.f64 beta alpha))))
(/.f64 (/.f64 (/.f64 (neg.f64 (-.f64 -1 beta)) (+.f64 2 beta)) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -3 (+.f64 alpha beta)))
(/.f64 (/.f64 (neg.f64 (-.f64 -1 beta)) (+.f64 2 beta)) (*.f64 (-.f64 -3 (+.f64 alpha beta)) (-.f64 -2 (+.f64 alpha beta))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3))) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta))))) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3))))) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3))))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3))) 3))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3)))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) 3) (pow.f64 (+.f64 beta (+.f64 alpha 3)) 3)))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3)))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3)))))
(exp.f64 (log.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3)))) 1))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3)))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 beta (+.f64 alpha 3)))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 2 beta) (*.f64 (-.f64 -2 (+.f64 alpha beta)) (+.f64 alpha (+.f64 beta 3)))))

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.4b
(/.f64 1/3 alpha)
Compiler

Compiled 7 to 5 computations (28.6% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite53.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
1018×add-sqr-sqrt
994×*-un-lft-identity
948×pow1
934×add-cube-cbrt
926×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11077
212607
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(/.f64 1/3 alpha)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/3 alpha)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 alpha))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/3 alpha)) (sqrt.f64 (/.f64 1/3 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 alpha)) (cbrt.f64 (/.f64 1/9 (*.f64 alpha alpha))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 (*.f64 alpha alpha))) (cbrt.f64 (/.f64 1/3 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 alpha) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 (neg.f64 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 alpha) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 alpha)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 alpha)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 alpha) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 alpha 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (*.f64 alpha alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 alpha) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 alpha)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 alpha)))))))

simplify46.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
998×associate-*r*
942×associate-*r/
900×associate-/l*
772×associate-*l*
688×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
047378
199264
2449150
32622144
Stop Event
1×node limit
Counts
20 → 24
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 1/3 alpha)) 1)
(*.f64 1/3 (/.f64 1 alpha))
(*.f64 (/.f64 1/3 alpha) 1)
(*.f64 1 (/.f64 1/3 alpha))
(*.f64 (sqrt.f64 (/.f64 1/3 alpha)) (sqrt.f64 (/.f64 1/3 alpha)))
(*.f64 (cbrt.f64 (/.f64 1/3 alpha)) (cbrt.f64 (/.f64 1/9 (*.f64 alpha alpha))))
(*.f64 (cbrt.f64 (/.f64 1/9 (*.f64 alpha alpha))) (cbrt.f64 (/.f64 1/3 alpha)))
(*.f64 (/.f64 1 alpha) 1/3)
(*.f64 -1/3 (/.f64 1 (neg.f64 alpha)))
(pow.f64 (/.f64 1/3 alpha) 1)
(pow.f64 (sqrt.f64 (/.f64 1/3 alpha)) 2)
(pow.f64 (cbrt.f64 (/.f64 1/3 alpha)) 3)
(pow.f64 (pow.f64 (/.f64 1/3 alpha) 3) 1/3)
(pow.f64 (*.f64 alpha 3) -1)
(sqrt.f64 (/.f64 1/9 (*.f64 alpha alpha)))
(log.f64 (exp.f64 (/.f64 1/3 alpha)))
(cbrt.f64 (pow.f64 (/.f64 1/3 alpha) 3))
(expm1.f64 (log1p.f64 (/.f64 1/3 alpha)))
(exp.f64 (log.f64 (/.f64 1/3 alpha)))
(log1p.f64 (expm1.f64 (/.f64 1/3 alpha)))
Outputs
(-.f64 (+.f64 1 (/.f64 1/3 alpha)) 1)
(+.f64 (+.f64 1 (/.f64 1/3 alpha)) -1)
(+.f64 (/.f64 1/3 alpha) 0)
(/.f64 1/3 alpha)
(*.f64 1/3 (/.f64 1 alpha))
(+.f64 (+.f64 1 (/.f64 1/3 alpha)) -1)
(+.f64 (/.f64 1/3 alpha) 0)
(/.f64 1/3 alpha)
(*.f64 (/.f64 1/3 alpha) 1)
(+.f64 (+.f64 1 (/.f64 1/3 alpha)) -1)
(+.f64 (/.f64 1/3 alpha) 0)
(/.f64 1/3 alpha)
(*.f64 1 (/.f64 1/3 alpha))
(+.f64 (+.f64 1 (/.f64 1/3 alpha)) -1)
(+.f64 (/.f64 1/3 alpha) 0)
(/.f64 1/3 alpha)
(*.f64 (sqrt.f64 (/.f64 1/3 alpha)) (sqrt.f64 (/.f64 1/3 alpha)))
(+.f64 (+.f64 1 (/.f64 1/3 alpha)) -1)
(+.f64 (/.f64 1/3 alpha) 0)
(/.f64 1/3 alpha)
(*.f64 (cbrt.f64 (/.f64 1/3 alpha)) (cbrt.f64 (/.f64 1/9 (*.f64 alpha alpha))))
(+.f64 (+.f64 1 (/.f64 1/3 alpha)) -1)
(+.f64 (/.f64 1/3 alpha) 0)
(/.f64 1/3 alpha)
(*.f64 (cbrt.f64 (/.f64 1/9 (*.f64 alpha alpha))) (cbrt.f64 (/.f64 1/3 alpha)))
(+.f64 (+.f64 1 (/.f64 1/3 alpha)) -1)
(+.f64 (/.f64 1/3 alpha) 0)
(/.f64 1/3 alpha)
(*.f64 (/.f64 1 alpha) 1/3)
(+.f64 (+.f64 1 (/.f64 1/3 alpha)) -1)
(+.f64 (/.f64 1/3 alpha) 0)
(/.f64 1/3 alpha)
(*.f64 -1/3 (/.f64 1 (neg.f64 alpha)))
(+.f64 (+.f64 1 (/.f64 1/3 alpha)) -1)
(+.f64 (/.f64 1/3 alpha) 0)
(/.f64 1/3 alpha)
(pow.f64 (/.f64 1/3 alpha) 1)
(+.f64 (+.f64 1 (/.f64 1/3 alpha)) -1)
(+.f64 (/.f64 1/3 alpha) 0)
(/.f64 1/3 alpha)
(pow.f64 (sqrt.f64 (/.f64 1/3 alpha)) 2)
(+.f64 (+.f64 1 (/.f64 1/3 alpha)) -1)
(+.f64 (/.f64 1/3 alpha) 0)
(/.f64 1/3 alpha)
(pow.f64 (cbrt.f64 (/.f64 1/3 alpha)) 3)
(+.f64 (+.f64 1 (/.f64 1/3 alpha)) -1)
(+.f64 (/.f64 1/3 alpha) 0)
(/.f64 1/3 alpha)
(pow.f64 (pow.f64 (/.f64 1/3 alpha) 3) 1/3)
(+.f64 (+.f64 1 (/.f64 1/3 alpha)) -1)
(+.f64 (/.f64 1/3 alpha) 0)
(/.f64 1/3 alpha)
(pow.f64 (*.f64 alpha 3) -1)
(+.f64 (+.f64 1 (/.f64 1/3 alpha)) -1)
(+.f64 (/.f64 1/3 alpha) 0)
(/.f64 1/3 alpha)
(sqrt.f64 (/.f64 1/9 (*.f64 alpha alpha)))
(fabs.f64 (/.f64 1/3 alpha))
(log.f64 (exp.f64 (/.f64 1/3 alpha)))
(+.f64 (+.f64 1 (/.f64 1/3 alpha)) -1)
(+.f64 (/.f64 1/3 alpha) 0)
(/.f64 1/3 alpha)
(cbrt.f64 (pow.f64 (/.f64 1/3 alpha) 3))
(+.f64 (+.f64 1 (/.f64 1/3 alpha)) -1)
(+.f64 (/.f64 1/3 alpha) 0)
(/.f64 1/3 alpha)
(expm1.f64 (log1p.f64 (/.f64 1/3 alpha)))
(+.f64 (+.f64 1 (/.f64 1/3 alpha)) -1)
(+.f64 (/.f64 1/3 alpha) 0)
(/.f64 1/3 alpha)
(exp.f64 (log.f64 (/.f64 1/3 alpha)))
(+.f64 (+.f64 1 (/.f64 1/3 alpha)) -1)
(+.f64 (/.f64 1/3 alpha) 0)
(/.f64 1/3 alpha)
(log1p.f64 (expm1.f64 (/.f64 1/3 alpha)))
(+.f64 (+.f64 1 (/.f64 1/3 alpha)) -1)
(+.f64 (/.f64 1/3 alpha) 0)
(/.f64 1/3 alpha)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (/.f64 1 beta) beta)
Compiler

Compiled 12 to 8 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite54.0ms (0.3%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0613
11237
215057
Stop Event
1×node limit
Counts
1 → 31
Calls
Call 1
Inputs
(/.f64 (/.f64 1 beta) beta)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 beta -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 beta -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 beta) (/.f64 1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 beta -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 beta -1/2) (*.f64 (pow.f64 beta -1/2) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 beta -1/2) (/.f64 (/.f64 1 beta) (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 beta -2)) 2) (cbrt.f64 (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 beta -2)) (pow.f64 (cbrt.f64 (pow.f64 beta -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 beta -2)) (*.f64 (/.f64 1 (cbrt.f64 beta)) (/.f64 1 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 beta -2)) (/.f64 (/.f64 1 beta) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 beta) (/.f64 -1 beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 beta) (pow.f64 beta -1/2)) (pow.f64 beta -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 beta) (cbrt.f64 (pow.f64 beta -2))) (/.f64 1 (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 beta -1/2) 1) (/.f64 (pow.f64 beta -1/2) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 beta -1/2) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (pow.f64 beta -1/2) (cbrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 beta -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 beta)) beta))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 beta -2)) (sqrt.f64 beta)) (/.f64 (/.f64 1 (cbrt.f64 beta)) (sqrt.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 beta -2)) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 beta -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 beta) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 beta -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 beta -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 beta -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 beta beta) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 beta) (neg.f64 beta)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 beta -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 beta -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 beta -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 beta -2)))))))

simplify55.0ms (0.3%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
078757
1207469
2724469
34724469
Stop Event
1×node limit
Counts
43 → 41
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (pow.f64 beta 2))
(-.f64 (+.f64 1 (pow.f64 beta -2)) 1)
(*.f64 1 (pow.f64 beta -2))
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(*.f64 (pow.f64 beta -2) 1)
(*.f64 (pow.f64 beta -1/2) (*.f64 (pow.f64 beta -1/2) (/.f64 1 beta)))
(*.f64 (pow.f64 beta -1/2) (/.f64 (/.f64 1 beta) (sqrt.f64 beta)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 beta -2)) 2) (cbrt.f64 (pow.f64 beta -2)))
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (pow.f64 (cbrt.f64 (pow.f64 beta -2)) 2))
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (*.f64 (/.f64 1 (cbrt.f64 beta)) (/.f64 1 beta)))
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (/.f64 (/.f64 1 beta) (cbrt.f64 beta)))
(*.f64 (/.f64 -1 beta) (/.f64 -1 beta))
(*.f64 (*.f64 (/.f64 1 beta) (pow.f64 beta -1/2)) (pow.f64 beta -1/2))
(*.f64 (*.f64 (/.f64 1 beta) (cbrt.f64 (pow.f64 beta -2))) (/.f64 1 (cbrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 beta -1/2) 1) (/.f64 (pow.f64 beta -1/2) beta))
(*.f64 (/.f64 (pow.f64 beta -1/2) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (pow.f64 beta -1/2) (cbrt.f64 beta)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 beta -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 beta)) beta))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 beta -2)) (sqrt.f64 beta)) (/.f64 (/.f64 1 (cbrt.f64 beta)) (sqrt.f64 beta)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 beta -2)) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (pow.f64 beta -2)))
(pow.f64 beta -2)
(pow.f64 (/.f64 1 beta) 2)
(pow.f64 (pow.f64 beta -2) 1)
(pow.f64 (cbrt.f64 (pow.f64 beta -2)) 3)
(pow.f64 (pow.f64 (pow.f64 beta -2) 3) 1/3)
(pow.f64 (*.f64 beta beta) -1)
(neg.f64 (/.f64 (/.f64 1 beta) (neg.f64 beta)))
(sqrt.f64 (pow.f64 (pow.f64 beta -2) 2))
(log.f64 (exp.f64 (pow.f64 beta -2)))
(cbrt.f64 (pow.f64 (pow.f64 beta -2) 3))
(expm1.f64 (log1p.f64 (pow.f64 beta -2)))
(exp.f64 (log.f64 (pow.f64 beta -2)))
(log1p.f64 (expm1.f64 (pow.f64 beta -2)))
Outputs
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(/.f64 1 (pow.f64 beta 2))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(-.f64 (+.f64 1 (pow.f64 beta -2)) 1)
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(*.f64 1 (pow.f64 beta -2))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(*.f64 (/.f64 1 beta) (/.f64 1 beta))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(*.f64 (pow.f64 beta -2) 1)
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(*.f64 (pow.f64 beta -1/2) (*.f64 (pow.f64 beta -1/2) (/.f64 1 beta)))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(*.f64 (pow.f64 beta -1/2) (/.f64 (/.f64 1 beta) (sqrt.f64 beta)))
(*.f64 (pow.f64 beta -1/2) (/.f64 1 (*.f64 (sqrt.f64 beta) beta)))
(/.f64 (/.f64 (pow.f64 beta -1/2) beta) (sqrt.f64 beta))
(/.f64 (pow.f64 beta -1/2) (*.f64 beta (sqrt.f64 beta)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 beta -2)) 2) (cbrt.f64 (pow.f64 beta -2)))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (pow.f64 (cbrt.f64 (pow.f64 beta -2)) 2))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (*.f64 (/.f64 1 (cbrt.f64 beta)) (/.f64 1 beta)))
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (/.f64 (*.f64 1 (/.f64 1 beta)) (cbrt.f64 beta)))
(/.f64 (cbrt.f64 (pow.f64 beta -2)) (*.f64 beta (cbrt.f64 beta)))
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (/.f64 (/.f64 1 beta) (cbrt.f64 beta)))
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (/.f64 (*.f64 1 (/.f64 1 beta)) (cbrt.f64 beta)))
(/.f64 (cbrt.f64 (pow.f64 beta -2)) (*.f64 beta (cbrt.f64 beta)))
(*.f64 (/.f64 -1 beta) (/.f64 -1 beta))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(*.f64 (*.f64 (/.f64 1 beta) (pow.f64 beta -1/2)) (pow.f64 beta -1/2))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(*.f64 (*.f64 (/.f64 1 beta) (cbrt.f64 (pow.f64 beta -2))) (/.f64 1 (cbrt.f64 beta)))
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (/.f64 (*.f64 1 (/.f64 1 beta)) (cbrt.f64 beta)))
(/.f64 (cbrt.f64 (pow.f64 beta -2)) (*.f64 beta (cbrt.f64 beta)))
(*.f64 (/.f64 (pow.f64 beta -1/2) 1) (/.f64 (pow.f64 beta -1/2) beta))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(*.f64 (/.f64 (pow.f64 beta -1/2) (pow.f64 (cbrt.f64 beta) 2)) (/.f64 (pow.f64 beta -1/2) (cbrt.f64 beta)))
(/.f64 (/.f64 1 (*.f64 beta (cbrt.f64 beta))) (pow.f64 (cbrt.f64 beta) 2))
(/.f64 1 (*.f64 (pow.f64 (cbrt.f64 beta) 2) (*.f64 beta (cbrt.f64 beta))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 beta -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 beta)) beta))
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (/.f64 (*.f64 1 (/.f64 1 beta)) (cbrt.f64 beta)))
(/.f64 (cbrt.f64 (pow.f64 beta -2)) (*.f64 beta (cbrt.f64 beta)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 beta -2)) (sqrt.f64 beta)) (/.f64 (/.f64 1 (cbrt.f64 beta)) (sqrt.f64 beta)))
(*.f64 (cbrt.f64 (pow.f64 beta -2)) (/.f64 (*.f64 1 (/.f64 1 beta)) (cbrt.f64 beta)))
(/.f64 (cbrt.f64 (pow.f64 beta -2)) (*.f64 beta (cbrt.f64 beta)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 beta -2)) (pow.f64 (cbrt.f64 beta) 2)) (cbrt.f64 (pow.f64 beta -2)))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 beta -2)) 2) (pow.f64 (cbrt.f64 beta) 2))
(pow.f64 beta -2)
(/.f64 1 (*.f64 beta beta))
(pow.f64 (/.f64 1 beta) 2)
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(pow.f64 (pow.f64 beta -2) 1)
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(pow.f64 (cbrt.f64 (pow.f64 beta -2)) 3)
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(pow.f64 (pow.f64 (pow.f64 beta -2) 3) 1/3)
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(pow.f64 (*.f64 beta beta) -1)
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(neg.f64 (/.f64 (/.f64 1 beta) (neg.f64 beta)))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(sqrt.f64 (pow.f64 (pow.f64 beta -2) 2))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(log.f64 (exp.f64 (pow.f64 beta -2)))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(cbrt.f64 (pow.f64 (pow.f64 beta -2) 3))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(expm1.f64 (log1p.f64 (pow.f64 beta -2)))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(exp.f64 (log.f64 (pow.f64 beta -2)))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)
(log1p.f64 (expm1.f64 (pow.f64 beta -2)))
(/.f64 1 (*.f64 beta beta))
(pow.f64 beta -2)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 alpha 1) beta)
✓0.2b
(/.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
@-inf
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
1.0ms
alpha
@0
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
1.0ms
beta
@0
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
1.0ms
alpha
@inf
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))
0.0ms
beta
@inf
(/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3)))

rewrite89.0ms (0.5%)

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

simplify117.0ms (0.6%)

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

localize23.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 56 to 39 computations (30.4% saved)

series12.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite109.0ms (0.6%)

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

simplify152.0ms (0.8%)

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

eval724.0ms (3.9%)

Compiler

Compiled 38599 to 28554 computations (26% saved)

prune363.0ms (1.9%)

Pruning

29 alts after pruning (22 fresh and 7 done)

PrunedKeptTotal
New1060101070
Fresh21214
Picked011
Done268
Total1064291093
Error
0b
Counts
1093 → 29
Alt Table
Click to see full alt table
StatusErrorProgram
29.1b
(pow.f64 beta -2)
2.5b
(/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 alpha (+.f64 beta 3)))
28.0b
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (/.f64 (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 alpha (+.f64 beta 2))))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 alpha (+.f64 beta 2)))))
2.4b
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
✓22.7b
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
✓12.8b
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
12.8b
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
28.0b
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
39.2b
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
23.9b
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
28.6b
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
✓29.1b
(/.f64 (/.f64 1 beta) beta)
13.2b
(/.f64 (/.f64 1/2 (+.f64 3 beta)) (+.f64 beta 2))
33.3b
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
5.9b
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
24.3b
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
✓28.8b
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
✓0.1b
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
27.5b
(/.f64 (*.f64 (/.f64 1 beta) (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3)))
41.7b
(/.f64 (*.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
40.3b
(/.f64 alpha (*.f64 beta beta))
24.9b
(/.f64 1 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
28.9b
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
29.4b
(/.f64 1 (*.f64 beta beta))
60.1b
(/.f64 1 beta)
✓62.4b
(/.f64 1/3 alpha)
35.6b
(/.f64 1/4 (+.f64 3 alpha))
✓0.1b
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
28.8b
(*.f64 (neg.f64 (+.f64 1 alpha)) (/.f64 1 (*.f64 beta (neg.f64 beta))))
Compiler

Compiled 439 to 314 computations (28.5% saved)

regimes175.0ms (0.9%)

Counts
54 → 1
Calls
Call 1
Inputs
(/.f64 1/3 alpha)
(/.f64 1 alpha)
(/.f64 1 beta)
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 alpha) (+.f64 3 alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 3 beta)) (+.f64 beta 2))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (*.f64 1 (+.f64 1 beta)) alpha) alpha)
(*.f64 (neg.f64 (+.f64 1 alpha)) (/.f64 1 (*.f64 beta (neg.f64 beta))))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))
(/.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 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (/.f64 1 beta) (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (*.f64 (-.f64 beta -2) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 2 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (*.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 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 (+.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 (+.f64 1 alpha) (/.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 1 beta))) (+.f64 alpha (+.f64 beta 2))) (/.f64 1 (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (+.f64 beta 1) (/.f64 1 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)))) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 (+.f64 alpha beta) (+.f64 (*.f64 alpha beta) 1)) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.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 (+.f64 beta 3)) (*.f64 (+.f64 beta (+.f64 2 alpha)) (*.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 alpha (+.f64 beta 2))))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (-.f64 alpha (+.f64 beta 2)))))
(pow.f64 beta -2)
(*.f64 (pow.f64 (+.f64 beta (+.f64 alpha 2)) -2) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 beta (+.f64 alpha 3))) (+.f64 1 alpha)))
(/.f64 (+.f64 beta (+.f64 alpha (fma.f64 alpha beta 1))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
Outputs
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (/.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 beta 1)))) (+.f64 alpha (+.f64 beta 3)))
Calls

3 calls:

80.0ms
alpha
24.0ms
beta
10.0ms
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
Results
ErrorSegmentsBranch
0.1b1alpha
0.1b1beta
0.1b1(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
Compiler

Compiled 830 to 539 computations (35.1% saved)

regimes104.0ms (0.6%)

Counts
45 → 1
Calls
Call 1
Inputs
(/.f64 1/3 alpha)
(/.f64 1 alpha)
(/.f64 1 beta)
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 alpha) (+.f64 3 alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 3 beta)) (+.f64 beta 2))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (*.f64 1 (+.f64 1 beta)) alpha) alpha)
(*.f64 (neg.f64 (+.f64 1 alpha)) (/.f64 1 (*.f64 beta (neg.f64 beta))))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))
(/.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 (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (*.f64 (/.f64 1 beta) (+.f64 alpha 1)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 1 alpha) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (*.f64 (-.f64 beta -2) (*.f64 (+.f64 alpha (+.f64 3 beta)) (+.f64 2 (+.f64 alpha beta)))))
(/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta (+.f64 alpha 3)) (*.f64 (+.f64 2 beta) (-.f64 -2 (+.f64 alpha beta)))))
(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 alpha)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 alpha 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 (+.f64 alpha beta) 3) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
(/.f64 (/.f64 (-.f64 -1 beta) (*.f64 (+.f64 beta 2) (-.f64 (-.f64 -2 alpha) beta))) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (*.f64 beta alpha) (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (*.f64 (/.f64 (/.f64 1 (+.f64 beta 2)) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (*.f64 (+.f64 beta 1) alpha) (*.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 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))))
Outputs
(/.f64 (*.f64 (/.f64 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
Calls

2 calls:

49.0ms
beta
44.0ms
alpha
Results
ErrorSegmentsBranch
0.1b1alpha
0.1b1beta
Compiler

Compiled 551 to 361 computations (34.5% saved)

regimes173.0ms (0.9%)

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

2 calls:

89.0ms
beta
73.0ms
alpha
Results
ErrorSegmentsBranch
0.9b2alpha
0.9b2beta
Compiler

Compiled 501 to 330 computations (34.1% saved)

bsearch53.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
52.0ms
188551.08221981509
792229207052.8734
Results
50.0ms112×body256valid
Compiler

Compiled 308 to 231 computations (25% saved)

regimes93.0ms (0.5%)

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

2 calls:

59.0ms
alpha
27.0ms
beta
Results
ErrorSegmentsBranch
1.4b2alpha
1.0b2beta
Compiler

Compiled 265 to 175 computations (34% saved)

bsearch16.0ms (0.1%)

Algorithm
1×binary-search
Steps
TimeLeftRight
15.0ms
12075939345709764.0
68981933754057550.0
Results
14.0ms96×body256valid
Compiler

Compiled 234 to 172 computations (26.5% saved)

regimes109.0ms (0.6%)

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

2 calls:

76.0ms
beta
27.0ms
alpha
Results
ErrorSegmentsBranch
9.9b2alpha
1.9b2beta
Compiler

Compiled 250 to 164 computations (34.4% saved)

bsearch20.0ms (0.1%)

Algorithm
1×binary-search
Steps
TimeLeftRight
19.0ms
1.294328865123541
1015.9499026676473
Results
18.0ms128×body256valid
Compiler

Compiled 218 to 164 computations (24.8% saved)

regimes84.0ms (0.4%)

Counts
25 → 2
Calls
Call 1
Inputs
(/.f64 1/3 alpha)
(/.f64 1 alpha)
(/.f64 1 beta)
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 alpha) (+.f64 3 alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
(/.f64 (/.f64 (+.f64 1 beta) alpha) alpha)
(*.f64 (/.f64 (+.f64 1 alpha) beta) (/.f64 1 beta))
(/.f64 1/2 (*.f64 (+.f64 beta 3) (+.f64 beta 2)))
(/.f64 (/.f64 1/2 (+.f64 3 beta)) (+.f64 beta 2))
(/.f64 (/.f64 alpha beta) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 (*.f64 1 (+.f64 1 beta)) alpha) alpha)
(*.f64 (neg.f64 (+.f64 1 alpha)) (/.f64 1 (*.f64 beta (neg.f64 beta))))
(/.f64 (/.f64 1/2 (+.f64 2 alpha)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 1/2 (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 3)))
(/.f64 (/.f64 1 (+.f64 beta 3)) (+.f64 alpha (+.f64 beta 3)))
Outputs
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 (/.f64 (+.f64 1 alpha) beta) beta)
Calls

2 calls:

29.0ms
alpha
22.0ms
beta
Results
ErrorSegmentsBranch
10.0b2alpha
1.9b2beta
Compiler

Compiled 187 to 123 computations (34.2% saved)

bsearch54.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
54.0ms
1.294328865123541
1015.9499026676473
Results
52.0ms128×body256valid
Compiler

Compiled 186 to 140 computations (24.7% saved)

regimes50.0ms (0.3%)

Counts
14 → 2
Calls
Call 1
Inputs
(/.f64 1/3 alpha)
(/.f64 1 alpha)
(/.f64 1 beta)
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
(/.f64 (+.f64 beta 1) (*.f64 alpha alpha))
(/.f64 (/.f64 1 alpha) (+.f64 3 alpha))
(/.f64 (/.f64 1 beta) (+.f64 beta 3))
Outputs
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 (+.f64 1 alpha) (*.f64 beta beta))
Calls

2 calls:

33.0ms
alpha
14.0ms
beta
Results
ErrorSegmentsBranch
20.9b5alpha
2.8b2beta
Compiler

Compiled 84 to 52 computations (38.1% saved)

bsearch53.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
53.0ms
1.294328865123541
1015.9499026676473
Results
51.0ms128×body256valid
Compiler

Compiled 186 to 140 computations (24.7% saved)

regimes94.0ms (0.5%)

Counts
10 → 2
Calls
Call 1
Inputs
(/.f64 1/3 alpha)
(/.f64 1 alpha)
(/.f64 1 beta)
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 1 (*.f64 alpha alpha))
(/.f64 1 (*.f64 beta beta))
(/.f64 alpha (*.f64 beta beta))
(/.f64 (/.f64 1 beta) beta)
(/.f64 1 (*.f64 beta (+.f64 beta 3)))
(/.f64 1 (*.f64 (+.f64 3 alpha) alpha))
Outputs
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 (/.f64 1 beta) beta)
Calls

2 calls:

66.0ms
beta
26.0ms
alpha
Results
ErrorSegmentsBranch
21.5b5alpha
3.1b2beta
Compiler

Compiled 56 to 36 computations (35.7% saved)

bsearch22.0ms (0.1%)

Algorithm
1×binary-search
Steps
TimeLeftRight
21.0ms
1.294328865123541
1015.9499026676473
Results
20.0ms128×body256valid
Compiler

Compiled 170 to 132 computations (22.4% saved)

regimes87.0ms (0.5%)

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

2 calls:

63.0ms
alpha
22.0ms
beta
Results
ErrorSegmentsBranch
21.8b5alpha
3.4b2beta
Compiler

Compiled 37 to 23 computations (37.8% saved)

bsearch20.0ms (0.1%)

Algorithm
1×binary-search
Steps
TimeLeftRight
20.0ms
1.294328865123541
1015.9499026676473
Results
18.0ms128×body256valid
Compiler

Compiled 170 to 132 computations (22.4% saved)

regimes11.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
(/.f64 1/3 alpha)
(/.f64 1 alpha)
(/.f64 1 beta)
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 1 (*.f64 alpha alpha))
Outputs
(/.f64 1/4 (+.f64 3 alpha))
Calls

2 calls:

6.0ms
alpha
4.0ms
beta
Results
ErrorSegmentsBranch
35.6b1alpha
35.6b1beta
Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes8.0ms (0%)

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

2 calls:

3.0ms
beta
3.0ms
alpha
Results
ErrorSegmentsBranch
60.1b1alpha
60.1b1beta
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes9.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

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

2 calls:

5.0ms
alpha
3.0ms
beta
Results
ErrorSegmentsBranch
62.4b1alpha
62.4b1beta
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify13.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
30×+-commutative
14×*-commutative
12×sub-neg
6×neg-mul-1
6×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071562
194562
2105562
3113562
4116562
Stop Event
1×fuel
1×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 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 100000000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 17500000000000000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 5/2) (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 4447304632028365/1125899906842624) (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 4447304632028365/1125899906842624) (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(if (<=.f64 beta 4278419646001971/1125899906842624) (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 8106479329266893/2251799813685248) (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1 (*.f64 beta beta)))
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 1 beta)
(/.f64 1/3 alpha)
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 (/.f64 (-.f64 -1 alpha) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -2 (+.f64 alpha beta))) (-.f64 -1 beta)) (+.f64 alpha (+.f64 beta 3)))
(if (<=.f64 beta 100000000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 2 alpha))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 100000000) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 beta 3) (*.f64 alpha 2))) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 17500000000000000) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 beta 2)) (*.f64 (+.f64 beta 3) (+.f64 beta 2))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 17500000000000000) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 beta 2)) (*.f64 (+.f64 beta 2) (+.f64 beta 3))) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 5/2) (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 5/2) (/.f64 1/4 (+.f64 alpha 3)) (/.f64 (/.f64 (+.f64 alpha 1) beta) (+.f64 alpha (+.f64 beta 3))))
(if (<=.f64 beta 4447304632028365/1125899906842624) (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (/.f64 (+.f64 1 alpha) beta) beta))
(if (<=.f64 beta 4447304632028365/1125899906842624) (/.f64 1/4 (+.f64 alpha 3)) (/.f64 (/.f64 (+.f64 alpha 1) beta) beta))
(if (<=.f64 beta 4447304632028365/1125899906842624) (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (+.f64 1 alpha) (*.f64 beta beta)))
(if (<=.f64 beta 4447304632028365/1125899906842624) (/.f64 1/4 (+.f64 alpha 3)) (/.f64 (+.f64 alpha 1) (*.f64 beta beta)))
(if (<=.f64 beta 4278419646001971/1125899906842624) (/.f64 1/4 (+.f64 3 alpha)) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 4278419646001971/1125899906842624) (/.f64 1/4 (+.f64 alpha 3)) (/.f64 (/.f64 1 beta) beta))
(if (<=.f64 beta 8106479329266893/2251799813685248) (/.f64 1/4 (+.f64 3 alpha)) (/.f64 1 (*.f64 beta beta)))
(if (<=.f64 beta 8106479329266893/2251799813685248) (/.f64 1/4 (+.f64 alpha 3)) (/.f64 1 (*.f64 beta beta)))
(/.f64 1/4 (+.f64 3 alpha))
(/.f64 1/4 (+.f64 alpha 3))
(/.f64 1 beta)
(/.f64 1/3 alpha)
Compiler

Compiled 231 to 168 computations (27.3% saved)

soundness795.0ms (4.2%)

Algorithm
1×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
1×node limit
Compiler

Compiled 638 to 414 computations (35.1% saved)

end138.0ms (0.7%)

Compiler

Compiled 263 to 183 computations (30.4% saved)

Profiling

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